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CASE 1: Additional Tax In August 2019, a limited liability company incorporated in Chile sent to a taxpayer, without domicile or residence in the country, income for benefits received that are not contained in articles 58 and 59 of the Law on Income Tax. Rent. The withholding of the Additional Tax, carried out by the company in accordance with the rules contained in the first paragraph of article 60 of the Income Tax Law with a general rate of 35%, amounted to $3,000,000.- Based on the information above, you are asked to answer the following questions: a) Is the beneficiary of the income obliged to submit an annual tax return in Chile using Form N° 22? b) What happens to the withholding made by the company, amounting to the sum of $3,000,000, whether or not the taxpayer should file the tax return? CASE 2: Inheritance Tax A natural person, married under the marital partnership regime, died on 08/20/2020 at his home located in Valparaíso, Chile. Background: The deceased's heirs are his spouse and 3 living children. The estate of the deceased records the following assets: Real estate, non-agricultural. Tax valuation upon death: $200,000,000.- Automobile. Tax valuation upon death: $12,400,000.- Shares: $85,000,000.- Inheritance does not declare an inventory of other assets. Tax appraisal, address at death: $65,200,000.- There is no will. Other background: UTM value on the date of death: $49,229.- UTM value on the date of tax payment: $49,673.- (January 2020) Table for determining the Inheritance Tax: FROM TO FIXED DEDUCTION RATE 0.1 UTM 960 UTM 1% of 0 UTM 960.01 UTM 1920 UTM 2.50% 14.4 UTM 1920.01 UTM 3840 UTM 5% 62.4 UTM 3840.01 UTM 5760 UTM 7.50% 158.4 UTM 5760.01 UTM 7680 UTM 10% 302.4 UTM 7680.01 UTM 9600 UTM 15% 686.4 UTM 9600.01 UTM 14440 UTM 20% 1166.4 UTM 14440.01 UTM AND MORE 25% 1886.4 UTM It is requested: a)Determine the percentage of assignment of assets to the succession. b)Determining the tax base affects the Inheritance Tax. c)Determine the tax obligation.

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Answer to a math question CASE 1: Additional Tax In August 2019, a limited liability company incorporated in Chile sent to a taxpayer, without domicile or residence in the country, income for benefits received that are not contained in articles 58 and 59 of the Law on Income Tax. Rent. The withholding of the Additional Tax, carried out by the company in accordance with the rules contained in the first paragraph of article 60 of the Income Tax Law with a general rate of 35%, amounted to $3,000,000.- Based on the information above, you are asked to answer the following questions: a) Is the beneficiary of the income obliged to submit an annual tax return in Chile using Form N° 22? b) What happens to the withholding made by the company, amounting to the sum of $3,000,000, whether or not the taxpayer should file the tax return? CASE 2: Inheritance Tax A natural person, married under the marital partnership regime, died on 08/20/2020 at his home located in Valparaíso, Chile. Background: The deceased's heirs are his spouse and 3 living children. The estate of the deceased records the following assets: Real estate, non-agricultural. Tax valuation upon death: $200,000,000.- Automobile. Tax valuation upon death: $12,400,000.- Shares: $85,000,000.- Inheritance does not declare an inventory of other assets. Tax appraisal, address at death: $65,200,000.- There is no will. Other background: UTM value on the date of death: $49,229.- UTM value on the date of tax payment: $49,673.- (January 2020) Table for determining the Inheritance Tax: FROM TO FIXED DEDUCTION RATE 0.1 UTM 960 UTM 1% of 0 UTM 960.01 UTM 1920 UTM 2.50% 14.4 UTM 1920.01 UTM 3840 UTM 5% 62.4 UTM 3840.01 UTM 5760 UTM 7.50% 158.4 UTM 5760.01 UTM 7680 UTM 10% 302.4 UTM 7680.01 UTM 9600 UTM 15% 686.4 UTM 9600.01 UTM 14440 UTM 20% 1166.4 UTM 14440.01 UTM AND MORE 25% 1886.4 UTM It is requested: a)Determine the percentage of assignment of assets to the succession. b)Determining the tax base affects the Inheritance Tax. c)Determine the tax obligation.

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Corbin
4.6
102 Answers
Let's break down each case and provide insights into the taxation issues described:

#### Case 1: Additional Tax

**a) Obligation to Submit an Annual Tax Return in Chile using Form N° 22:**
- According to Chilean tax law, non-residents receiving income from Chilean sources subject to withholding tax usually don't need to file an annual tax return if tax is fully withheld at source.
- Since the income has a final withholding tax rate of 35% and there are no other Chilean-source income or additional tax obligations, the taxpayer generally would not need to file Form N° 22.

**b) Withholding Made by the Company:**
- The 3,000,000withholdingat35362,600,000
- **Tax Base Determination**: Total estate value is considered.
- **Tax Obligation**:
- Estate value in UTM = 362,600,000/49,229 ≈ 7368 UTM
- Tax payable = 10 - 302.4 UTM
- Tax in UTM = 736.8 - 302.4 = 434.4 UTM
- Convert UTM to currency = 434.4 UTM * 49,673=21,583,835.2

### Answer:
- **Case 1**: No need for annual tax return; withholding is final.
- **Case 2**: Inheritance tax payable is approximately $21,583,835.2.

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There are several students in the class and some pairs are friends thefriendshiprelationshipissymmetrical. Every student has at least one friend. The whole class came to MatFyz, where each student chooses exactly one of the lectures: either mathematics or computer science. Can you prove that ineachsuchclass the students can divide themselves into two lectures so that each studentZhad at least one friend who attended a different lecture than the student himself Z.","","1. Consider the students and friends as a graph where each student is a vertex, and an undirected edge exists between two vertices if both students are friends. \u003Cbr />\n2. The problem requires proving that this graph is bipartite. \u003Cbr />\n3. A graph is bipartite if and only if it has no odd-length cycles.\u003Cbr />\n4. Start with any vertex and perform BFS or DFS to try to color the graph using two colors, such that no two adjacent vertices share the same color. \u003Cbr />\n5. If successful, you have a bipartite graph, meaning that nodes can be divided into two groups, each corresponding to one lecture.\u003Cbr />\n6. If at any point you find a vertex with the same color during the graph traversal across an edge, there exists an odd-length cycle.\u003Cbr />\n7. The presence of such a cycle would contradict the criteria as friendship is symmetrical, ensuring each cycle detected can be colored alternately, validating bipartiteness.\u003Cbr />\n8. Since each student has at least one friend, and that ensures the graph has no isolated points, every path will connect properly into two sets.\u003Cbr />\n9. Thus, the students can always be divided into two lectures maintaining the condition.\u003Cbr />\n\u003Cbr />\nAnswer: The students can always be divided in a manner where each student has at least one friend attending a different lecture.",1006,201,"task-4-1-5-points-there-are-several-students-in-the-class-and-some-pairs-are-friends-the-friendship-relationship-is-symmetrical-every-student-has-at-least-one-friend-the-whole-class-came-to-matfy",{"id":44,"category":36,"text_question":45,"photo_question":38,"text_answer":46,"step_text_answer":8,"step_photo_answer":8,"views":47,"likes":48,"slug":49},537910,"There are 120 seats in the cinema. Eighth grades come with the same number of students. If three grades come, there will be 54 free seats left. How many seats will be left if four grades come?\n Can you solve the problem in the form of a proportion or ratio?","Ako u dvoranu dolaze tri razredna odjela i ostaje 54 slobodna mjesta, to znači da dolazi \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>3x\u003C/math-field>\u003C/math-field> učenika, gdje je \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x\u003C/math-field>\u003C/math-field> broj učenika u jednom razredu.\u003Cbr />\n\u003Cbr />\nBroj zauzetih mjesta s tri razreda:\u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>120 - 54 = 66\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nDakle:\u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>3x = 66 \\Rightarrow x = \\frac{66}{3} = 22\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nBroj učenika u jednom razredu je \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>22\u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\nAko dolaze četiri razreda to znači da dolazi \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>4 \\times 22 = 88\u003C/math-field>\u003C/math-field> učenika.\u003Cbr />\n\u003Cbr />\nBroj slobodnih mjesta s četiri razreda:\u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>120 - 88 = 32\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nDakle, ostat će \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>32\u003C/math-field>\u003C/math-field> slobodna mjesta.",777,155,"there-are-120-seats-in-the-cinema-eighth-grades-come-with-the-same-number-of-students-if-three-grades-come-there-will-be-54-free-seats-left-how-many-seats-will-be-left-if-four-grades-come-can-yo",{"id":51,"category":36,"text_question":52,"photo_question":38,"text_answer":53,"step_text_answer":8,"step_photo_answer":8,"views":54,"likes":55,"slug":56},537909,"There are 120 seats in the cinema. Eighth grades come with the same number of students. If three grades come, there will be 54 free seats left. How many seats will be left if four grades come?","1. Izračunaj broja mjesta zauzetih za 3 razreda: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>3x\u003C/math-field>\u003C/math-field> \u003Cbr />\n2. Postavi jednadžbu: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>120 - 3x = 54\u003C/math-field>\u003C/math-field> \u003Cbr />\n3. Izračunaj broj učenika u jednom razredu: \u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>3x = 66\u003C/math-field>\u003C/math-field> \u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x = \\frac{66}{3} = 22\u003C/math-field>\u003C/math-field> \u003Cbr />\n4. Izračunaj broj mjesta zauzetih za 4 razreda: \u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>4x = 4 \\times 22 = 88\u003C/math-field>\u003C/math-field> \u003Cbr />\n5. Izračunaj broj slobodnih mjesta za 4 razreda: \u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>120 - 88 = 32\u003C/math-field>\u003C/math-field> \u003Cbr />\n \u003Cbr />\nOdgovor: Broj učenika u jednom razredu je 22, a broj slobodnih mjesta kada dođe 4 razreda je 32.",942,188,"there-are-120-seats-in-the-cinema-eighth-grades-come-with-the-same-number-of-students-if-three-grades-come-there-will-be-54-free-seats-left-how-many-seats-will-be-left-if-four-grades-come",{"id":58,"category":36,"text_question":59,"photo_question":38,"text_answer":60,"step_text_answer":8,"step_photo_answer":8,"views":61,"likes":62,"slug":63},537908,"Determine the probability that when throwing a die, it will land:\n a) number 5\n b) a number less than 7\n c) number 1 or 4","a) The die is a cube with six faces and equal probability for each face. The number 5 appears on one face. Thus, the probability is:\u003Cbr />\n\u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{1 \\text{ favorable outcome}}{6 \\text{ total outcomes}} = \\frac{1}{6} \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nb) All numbers on a standard die 1to6 are less than 7, so all outcomes are favorable:\u003Cbr />\n\u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{6 \\text{ favorable outcomes}}{6 \\text{ total outcomes}} = 1 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nc) The numbers 1 and 4 appear, each on one face of the die:\u003Cbr />\n\u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{2 \\text{ favorable outcomes 1or4}}{6 \\text{ total outcomes}} = \\frac{1}{3} \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nAnswer for a): frac16 \u003Cbr />\nAnswer for b): 1 \u003Cbr />\nAnswer for c): frac13",1299,260,"determine-the-probability-that-when-throwing-a-die-it-will-land-a-number-5-b-a-number-less-than-7-c-number-1-or-4",{"id":65,"category":36,"text_question":66,"photo_question":38,"text_answer":67,"step_text_answer":8,"step_photo_answer":8,"views":68,"likes":69,"slug":70},537907,"Ivan learned 15 out of 20 questions. What is the probability that the student got a question he did not learn?","- Ivan je naučio 15 pitanja od 20, tako da je broj pitanja koja nije naučio \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 20 - 15 = 5 \u003C/math-field>\u003C/math-field>.\u003Cbr />\n- Ukupan broj pitanja je 20.\u003Cbr />\n- Vjerojatnost da je Ivan dobio pitanje koje nije naučio iznosi \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{5}{20} \u003C/math-field>\u003C/math-field>.\u003Cbr />\n- Jednostavnim deljenjem dobijamo vjerojatnost: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{5}{20} = \\frac{1}{4} \u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\nOdgovor je: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{1}{4} \u003C/math-field>\u003C/math-field>.",518,104,"ivan-learned-15-out-of-20-questions-what-is-the-probability-that-the-student-got-a-question-he-did-not-learn",{"id":72,"category":36,"text_question":73,"photo_question":38,"text_answer":74,"step_text_answer":8,"step_photo_answer":8,"views":75,"likes":76,"slug":77},537906,"561-t+154=137","1. Start with the equation:\u003Cbr />\n\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>561-t+154=137\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n2. Distribute the negative sign:\u003Cbr />\n\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>561-t-154=137\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n3. Simplify the left side by combining like terms:\u003Cbr />\n\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>407-t=137\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n4. Subtract 407 from both sides:\u003Cbr />\n\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>-t=137-407\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n5. Simplify the right side:\u003Cbr />\n\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>-t=-270\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n6. Multiply both sides by -1:\u003Cbr />\n\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>t=270\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nAnswer: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>t = 270\u003C/math-field>\u003C/math-field>",1257,251,"561-t-154-137",{"id":79,"category":36,"text_question":80,"photo_question":38,"text_answer":81,"step_text_answer":8,"step_photo_answer":8,"views":82,"likes":83,"slug":84},537905,"431+B29=678","First, simplify the equation:\u003Cbr />\n\u003Cbr />\n1. Start with the equation: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>431 + B29 = 678\u003C/math-field>\u003C/math-field>\u003Cbr />\n2. Distribute and simplify: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>431 + B - 29 = 678\u003C/math-field>\u003C/math-field>\u003Cbr />\n3. Combine like terms: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>B + 402 = 678\u003C/math-field>\u003C/math-field>\u003Cbr />\n4. Isolate \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>B\u003C/math-field>\u003C/math-field> by subtracting 402 from both sides: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>B = 678 - 402\u003C/math-field>\u003C/math-field>\u003Cbr />\n5. Calculate the right side: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>B = 276\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nFinal answer: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>B = 276\u003C/math-field>\u003C/math-field>",1140,228,"431-b-29-678",{"id":86,"category":36,"text_question":87,"photo_question":38,"text_answer":88,"step_text_answer":8,"step_photo_answer":8,"views":89,"likes":90,"slug":91},537904,"Vicente counted 2,367 seashells at the beach. Then he realized he made a mistake and subtracted 400 seashells. How many seashells did he actually count?","1. Start with the original count: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>2367\u003C/math-field>\u003C/math-field>.\u003Cbr />\n2. Subtract the adjustment of \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>400\u003C/math-field>\u003C/math-field>: \u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>2367 - 400 = 1967\u003C/math-field>\u003C/math-field>.\u003Cbr />\n3. The actual number of seashells counted: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>1967\u003C/math-field>\u003C/math-field>.",447,89,"vicente-counted-2-367-seashells-at-the-beach-then-he-realized-he-made-a-mistake-and-subtracted-400-seashells-how-many-seashells-did-he-actually-count",{"id":93,"category":36,"text_question":94,"photo_question":38,"text_answer":95,"step_text_answer":8,"step_photo_answer":8,"views":96,"likes":97,"slug":98},537903,"Find the critical value Za/2 needed to construct a confidence interval with the given level \n\nLevel 99.7%","1. Identify that the level of confidence is 99.7%.\u003Cbr />\n2. Calculate the area in each tail: \u003Cbr />\n - The confidence level of 99.7% means there's 0.3% in the tails combined.\u003Cbr />\n - The area in one tail is \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{0.3\\%}{2} = 0.15\\% \u003C/math-field>\u003C/math-field>.\u003Cbr />\n3. Determine the z-score for the 99.85th percentile since0.15.\u003Cbr />\n4. Look up this value in the standard normal distribution table or using a calculator, the critical z-score is typically approximately 3.00 forastandardnormaldistribution.\u003Cbr />\n5. Conclude that \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> z_{\\frac{\\alpha}{2}} = 3.00 \u003C/math-field>\u003C/math-field> for a 99.7% confidence interval.",805,161,"find-the-critical-value-za-2-needed-to-construct-a-confidence-interval-with-the-given-level-level-99-7",{"id":100,"category":36,"text_question":101,"photo_question":38,"text_answer":102,"step_text_answer":8,"step_photo_answer":8,"views":103,"likes":104,"slug":105},537902,"i need 3 addition or subtraction problems with 2 or 3 digit number that equal 5","1. Solve \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>12 - 7\u003C/math-field>\u003C/math-field>:\u003Cbr />\n\u003Cbr />\n - Calculate: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>12 - 7 = 5\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n - Answer: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>5\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n2. Solve \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>102 - 97\u003C/math-field>\u003C/math-field>:\u003Cbr />\n\u003Cbr />\n - Calculate: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>102 - 97 = 5\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n - Answer: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>5\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n3. Solve \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>55 - 50\u003C/math-field>\u003C/math-field>:\u003Cbr />\n\u003Cbr />\n - Calculate: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>55 - 50 = 5\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n - Answer: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>5\u003C/math-field>\u003C/math-field>",783,157,"i-need-3-addition-or-subtraction-problems-with-2-or-3-digit-number-that-equal-5",{"id":107,"category":36,"text_question":108,"photo_question":38,"text_answer":109,"step_text_answer":8,"step_photo_answer":8,"views":110,"likes":111,"slug":112},537901,"i need 3 rounding problems that equal 9","1. Round 8.5 to the nearest integer:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>8.5 \\approx 9\u003C/math-field>\u003C/math-field> \u003Cbr />\n\u003Cbr />\n2. Round 8.7 to the nearest integer:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>8.7 \\approx 9\u003C/math-field>\u003C/math-field> \u003Cbr />\n\u003Cbr />\n3. Round 9.2 to the nearest integer:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>9.2 \\approx 9\u003C/math-field>\u003C/math-field> \u003Cbr />\n\u003Cbr />\nAnswer: 9, 9, 9",1229,246,"i-need-3-rounding-problems-that-equal-9",{"id":114,"category":36,"text_question":115,"photo_question":38,"text_answer":116,"step_text_answer":8,"step_photo_answer":8,"views":117,"likes":118,"slug":119},537900,"72 forth graders are going on a camping trip. 9 chaperones are also going. If a van can seat 12 people how many vans are needed?","1. Calculate the total number of people: \u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 72 + 9 = 81 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n2. Divide the total number of people by the number of seats per van:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{81}{12} = 6.75 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n3. Round up to the nearest whole number, because you can't have a fraction of a van: \u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\lceil 6.75 \\rceil = 7 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nTherefore, 7 vans are needed.",801,160,"72-forth-graders-are-going-on-a-camping-trip-9-chaperones-are-also-going-if-a-van-can-seat-12-people-how-many-vans-are-needed",{"id":121,"category":36,"text_question":122,"photo_question":38,"text_answer":123,"step_text_answer":8,"step_photo_answer":8,"views":124,"likes":125,"slug":126},537899,"81 divided by 12","1. Start with the division: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{81}{12} \u003C/math-field>\u003C/math-field>\u003Cbr />\n2. Simplify the fraction: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{81}{12} = \\frac{27}{4} \u003C/math-field>\u003C/math-field>\u003Cbr />\n3. Convert the fraction to a mixed number: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{27}{4} = 6 \\frac{3}{4} \u003C/math-field>\u003C/math-field>\u003Cbr />\n4. Alternatively, divide to get the decimal: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 81 \\div 12 = 6.75 \u003C/math-field>\u003C/math-field>\u003Cbr />\n5. Answer in decimal: 6.75",635,127,"81-divided-by-12",{"id":128,"category":36,"text_question":129,"photo_question":38,"text_answer":130,"step_text_answer":8,"step_photo_answer":8,"views":131,"likes":132,"slug":133},537898,"Factor the expression using GCF 39-13","Solution:\u003Cbr />\n1. Identify the numbers in the expression: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>39\u003C/math-field>\u003C/math-field> and \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>13\u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\n2. Determine the greatest common factor GCF of the numbers:\u003Cbr />\n- The factors of \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>39\u003C/math-field>\u003C/math-field> are: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>1, 3, 13, 39\u003C/math-field>\u003C/math-field>\u003Cbr />\n- The factors of \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>13\u003C/math-field>\u003C/math-field> are: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>1, 13\u003C/math-field>\u003C/math-field>\u003Cbr />\n- The common factors are: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>1, 13\u003C/math-field>\u003C/math-field>\u003Cbr />\n- Therefore, the greatest common factor is \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>13\u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\n3. Factor the expression by dividing each term by the GCF:\u003Cbr />\n- \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>39 - 13 = 13 \\times 3 - 13 \\times 1\u003C/math-field>\u003C/math-field>\u003Cbr />\n- Factor out the GCF \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>13\u003C/math-field>\u003C/math-field>: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>1331\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n4. Simplify the expression inside the parentheses:\u003Cbr />\n- \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>3 - 1 = 2\u003C/math-field>\u003C/math-field>\u003Cbr />\n- Therefore, the factored expression is: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>13 \\times 2\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n5. Simplified result: \u003Cbr />\n- \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>13 \\times 2 = 26\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nThus, the expression \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>39 - 13\u003C/math-field>\u003C/math-field> factors to \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>132\u003C/math-field>\u003C/math-field> or simplifies to \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>26\u003C/math-field>\u003C/math-field>.",373,75,"factor-the-expression-using-gcf-39-13",{"id":135,"category":36,"text_question":136,"photo_question":38,"text_answer":137,"step_text_answer":8,"step_photo_answer":8,"views":138,"likes":139,"slug":140},537897,"Is 4 a factor of 1,671,349? \nHow do you know without multiplying or dividing?","1. Identify the last two digits of the number 1,671,349: 49.\u003Cbr />\n2. Check if 49 is divisible by 4:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 49 \\div 4 = 12.25 \u003C/math-field>\u003C/math-field>\u003Cbr />\n Since 12.25 is not an integer, 49 is not divisible by 4.\u003Cbr />\n3. Conclude that 1,671,349 is not divisible by 4.\u003Cbr />\n\u003Cbr />\nAnswer: 4 is not a factor of 1,671,349.",1093,219,"is-4-a-factor-of-1-671-349-how-do-you-know-without-multiplying-or-dividing",{"id":142,"category":36,"text_question":143,"photo_question":38,"text_answer":144,"step_text_answer":8,"step_photo_answer":8,"views":145,"likes":146,"slug":147},537896,"Is 3 a factor of 711?\nHow do you know without multiplying or dividing?","1. According to the divisibility rule of 3, a number is divisible by 3 if the sum of its digits is divisible by 3.\u003Cbr />\n2. The digits of 711 are 7, 1, and 1.\u003Cbr />\n3. Find the sum of these digits: \u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 7 + 1 + 1 = 9 \u003C/math-field>\u003C/math-field>\u003Cbr />\n4. Check if the sum is divisible by 3. Since:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 9 \\div 3 = 3 \u003C/math-field>\u003C/math-field>\u003Cbr />\n5. The sum 9 is divisible by 3, so 711 is also divisible by 3.\u003Cbr />\n6. Therefore, 3 is a factor of 711.",329,66,"is-3-a-factor-of-711-how-do-you-know-without-multiplying-or-dividing",{"id":149,"category":36,"text_question":150,"photo_question":38,"text_answer":151,"step_text_answer":8,"step_photo_answer":8,"views":152,"likes":153,"slug":154},537894,"What is the amount of an annuity if the payments are 60attheendofeachmonthfor\n10yearsat3.5434.00 are made at the end of\n every month for 15 years at an interest rate of 7.5% per year computed monthly?","Solution:\u003Cbr>\u003Cbr>1. Given:\u003Cbr>\u003Cbr>- Monthly payment: USD 434.00\u003Cbr>\u003Cbr>- Number of years: 15\u003Cbr>\u003Cbr>- Annual interest rate: 7.5%\u003Cbr>\u003Cbr>- Number of compounding periods per year: 12\u003Cbr>\u003Cbr>2. Convert the annual interest rate to a monthly interest rate:\u003Cbr>\u003Cbr>- Monthly interest rate \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>r = \\frac{7.5\\%}{12} = \\frac{0.075}{12}\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>- Monthly interest rate \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>r = 0.00625\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>3. Calculate the total number of payments:\u003Cbr>\u003Cbr>- Total number of payments \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>n = 15 \\, \\text{years} \\times 12 \\, \\text{payments/year}\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>- Total number of payments \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>n = 180\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>4. Use the present value of an annuity formula:\u003Cbr>\u003Cbr>- Present Value PV formula: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>PV = C \\times \\leftfrac1(1+r)nrright\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>- Where:\u003Cbr>\u003Cbr>* \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>C = 434\u003C/math-field>\u003C/math-field> monthlypayment\u003Cbr>\u003Cbr>* \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>r = 0.00625\u003C/math-field>\u003C/math-field> monthlyinterestrate\u003Cbr>\u003Cbr>* \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>n = 180\u003C/math-field>\u003C/math-field> totalnumberofpayments\u003Cbr>\u003Cbr>5. Substitute the values into the formula:\u003Cbr>\u003Cbr>\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>PV = 434 \\times \\leftfrac1(1+0.00625)1800.00625right\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>6. Calculate:\u003Cbr>\u003Cbr>\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>PV\\approx46817.07\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>The present value of the annuity is approximately USD 46817.07.",874,175,"what-is-the-present-value-of-an-annuity-if-payments-of-434-00-are-made-at-the-end-of-every-month-for-15-years-at-an-interest-rate-of-7-5-per-year-computed-monthly",{"id":163,"category":36,"text_question":164,"photo_question":38,"text_answer":165,"step_text_answer":8,"step_photo_answer":8,"views":166,"likes":167,"slug":168},537891,"4x+5 +7 = 9 the plus sign next to the 5 is small","1. Begin by simplifying the equation: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>4x + 5 + 7 = 9\u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\n2. Combine the constant terms on the left side: \u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>4x + 12 = 9\u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\n3. Subtract 12 from both sides: \u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>4x = 9 - 12\u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\n4. Simplify the right side:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>4x = -3\u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\n5. Divide both sides by 4 to solve for \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x\u003C/math-field>\u003C/math-field>:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x = \\frac{-3}{4}\u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\n6. Therefore, the solution is:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x = -0.75\u003C/math-field>\u003C/math-field>.",1045,209,"4x-5-7-9-the-plus-sign-next-to-the-5-is-small",{"id":170,"category":36,"text_question":171,"photo_question":38,"text_answer":172,"step_text_answer":8,"step_photo_answer":8,"views":173,"likes":90,"slug":174},537890,"A water pipe runs diagonally under a rectangular garden that is 7 feet longer than it is wide. If the pipe is 13 feet long what are the dimensions of the garden","1. Write the equation for the Pythagorean theorem:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w^2 + w+7^2 = 13^2 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n2. Calculate the square of 13:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>13^2 = 169\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n3. Expand the equation:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w^2 + w+7^2 = 169 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w^2 + w2+14w+49 = 169 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n4. Combine like terms:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 2w^2 + 14w + 49 = 169 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n5. Simplify and rearrange the equation:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 2w^2 + 14w + 49 - 169 = 0 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 2w^2 + 14w - 120 = 0 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n6. Divide the entire equation by 2 to simplify:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w^2 + 7w - 60 = 0 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n7. Factor the quadratic equation:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w+12w5 = 0 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n8. Solve for \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>w\u003C/math-field>\u003C/math-field>:\u003Cbr />\n - Either \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w + 12 = 0 \u003C/math-field>\u003C/math-field> which gives \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w = -12 \u003C/math-field>\u003C/math-field> notpossibleinthiscontext,sincewidthcantbenegative\u003Cbr />\n - Or \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w - 5 = 0 \u003C/math-field>\u003C/math-field> which gives \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w = 5 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n9. Find the length:\u003Cbr />\n - Length = \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w + 7 = 5 + 7 = 12 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nTherefore, the width is 5 feet and the length is 12 feet.",445,"a-water-pipe-runs-diagonally-under-a-rectangular-garden-that-is-7-feet-longer-than-it-is-wide-if-the-pipe-is-13-feet-long-what-are-the-dimensions-of-the-garden",{"first":6,"last":176,"prev":8,"next":10},180,{"current_page":6,"from":6,"last_page":176,"links":178,"path":212,"per_page":213,"to":213,"total":214},[179,182,185,187,189,191,193,196,199,202,205,208,210],{"url":6,"label":180,"active":181},"1",true,{"url":10,"label":183,"active":184},"2",false,{"url":13,"label":186,"active":184},"3",{"url":16,"label":188,"active":184},"4",{"url":19,"label":190,"active":184},"5",{"url":22,"label":192,"active":184},"6",{"url":194,"label":195,"active":184},7,"7",{"url":197,"label":198,"active":184},8,"8",{"url":200,"label":201,"active":184},9,"9",{"url":203,"label":204,"active":184},10,"10",{"url":206,"label":207,"active":184},179,"179",{"url":176,"label":209,"active":184},"180",{"url":10,"label":211,"active":184},"Next »","https://api.math-master.org/api/question",20,3587,{"data":216},{"id":217,"category":36,"slug":218,"text_question":219,"photo_question":8,"text_answer":220,"step_text_answer":8,"step_photo_answer":8,"views":221,"likes":222,"expert":223},536123,"case-1-additional-tax-in-august-2019-a-limited-liability-company-incorporated-in-chile-sent-to-a-taxpayer-without-domicile-or-residence-in-the-country-income-for-benefits-received-that-are-not-co","CASE 1: Additional Tax\n In August 2019, a limited liability company incorporated in Chile sent to a taxpayer, without domicile or residence in the country, income for benefits received that are not contained in articles 58 and 59 of the Law on Income Tax. Rent.\n The withholding of the Additional Tax, carried out by the company in accordance with the rules contained in the first paragraph of article 60 of the Income Tax Law with a general rate of 35%, amounted to 3,000,000.\nBasedontheinformationabove,youareaskedtoanswerthefollowingquestions:\na)IsthebeneficiaryoftheincomeobligedtosubmitanannualtaxreturninChileusingFormN°22?\nb)Whathappenstothewithholdingmadebythecompany,amountingtothesumof3,000,000, whether or not the taxpayer should file the tax return?\n CASE 2: Inheritance Tax\n A natural person, married under the marital partnership regime, died on 08/20/2020 at his home located in Valparaíso, Chile.\n Background:\n The deceased's heirs are his spouse and 3 living children.\n The estate of the deceased records the following assets:\n Real estate, non-agricultural. Tax valuation upon death: 200,000,000.\nAutomobile.Taxvaluationupondeath:12,400,000.-\n Shares: 85,000,000.\nInheritancedoesnotdeclareaninventoryofotherassets.\nTaxappraisal,addressatdeath:65,200,000.-\n There is no will.\n Other background:\n UTM value on the date of death: 49,229.\nUTMvalueonthedateoftaxpayment:49,673.- January2020\n Table for determining the Inheritance Tax:\n\n FROM TO FIXED DEDUCTION RATE\n 0.1 UTM 960 UTM 1% of 0 UTM\n 960.01 UTM 1920 UTM 2.50% 14.4 UTM\n 1920.01 UTM 3840 UTM 5% 62.4 UTM\n 3840.01 UTM 5760 UTM 7.50% 158.4 UTM\n 5760.01 UTM 7680 UTM 10% 302.4 UTM\n 7680.01 UTM 9600 UTM 15% 686.4 UTM\n 9600.01 UTM 14440 UTM 20% 1166.4 UTM\n 14440.01 UTM AND MORE 25% 1886.4 UTM\n\n It is requested:\n a)Determine the percentage of assignment of assets to the succession.\n b)Determining the tax base affects the Inheritance Tax.\n c)Determine the tax obligation.","Let's break down each case and provide insights into the taxation issues described:\u003Cbr />\u003Cbr />#### Case 1: Additional Tax\u003Cbr />\u003Cbr />**a) Obligation to Submit an Annual Tax Return in Chile using Form N° 22:**\u003Cbr />- According to Chilean tax law, non-residents receiving income from Chilean sources subject to withholding tax usually don't need to file an annual tax return if tax is fully withheld at source.\u003Cbr />- Since the income has a final withholding tax rate of 35% and there are no other Chilean-source income or additional tax obligations, the taxpayer generally would not need to file Form N° 22.\u003Cbr />\u003Cbr />**b) Withholding Made by the Company:**\u003Cbr />- The 3,000,000withholdingat35362,600,000\u003Cbr />- **Tax Base Determination**: Total estate value is considered.\u003Cbr />- **Tax Obligation**: \u003Cbr /> - Estate value in UTM = 362,600,000/49,229 ≈ 7368 UTM\u003Cbr /> - Tax payable = 10 - 302.4 UTM\u003Cbr /> - Tax in UTM = 736.8 - 302.4 = 434.4 UTM\u003Cbr /> - Convert UTM to currency = 434.4 UTM * 49,673=21,583,835.2\u003Cbr />\u003Cbr />### Answer:\u003Cbr />- **Case 1**: No need for annual tax return; withholding is final.\u003Cbr />- **Case 2**: Inheritance tax payable is approximately 21,583,835.2.",1333,267,"id":10,"name":224,"photo":225,"biography":226,"createdat":8,"updatedat":8,"rating":227,"totalanswer":228,"Corbin","https://api.mathmaster.org/img/experts/2/2.webp","MynamesisJamesAgustinMolina,IamfromPhilippines.BackwhenIinhighschool,IwasnotthebestinMathinmyclass;but,IfIweretocomparemymathskillstomyothersubjects,IthinkMathismybestsubject.Ialwaysfindsolvingandlearningmathtechniquesfun.BecauseIthinkmyMathisthemybestsubjectandIalwaysfascinatedinhowthingswork,Itookengineeringinmycollege.Incollege,Ireallyenjoyedmathandthinkingofpursuingateachingcareer.Ialsotookandpassedmylicensureexamrightaftergraduation.Currently,IamtakingmyMastersDegreeinMathematics.",4.6,102,"data":230,"questions":231,[232,236,240,244,248,252,256,260,264,268,272,276,280,284,288,292,296,300,304,308],"id":233,"category":36,"textquestion":234,"slug":235,532001,"Anormalrandomvariablexhasameanof50andastandarddeviationof10.Woulditbeunusualtoseethevaluex=0?Explainyouranswer.","anormalrandomvariablexhasameanof50andastandarddeviationof10woulditbeunusualtoseethevaluex0explainyouranswer","id":237,"category":36,"textquestion":238,"slug":239,532054,"Asoftwarecompanyincursacostof50 per license sold plus 5,000infixedcosts.Howmanylicensesshouldyouselltominimizetotalcosts?","asoftwarecompanyincursacostof50perlicensesoldplus5000infixedcostshowmanylicensesshouldyouselltominimizetotalcosts","id":241,"category":36,"textquestion":242,"slug":243,532071,"Anormallydistributedpopulationhasameanof118withastandarddeviationof18.Whatscoreseparatesthelowest72104259 is taken out for 10 years with an annual interest rate of 9.4%, compounded quarterly. What quarterly payment is required to pay the loan off in 10 years? \n\nEnter to the nearest cent twodecimals. Do not use signsorcommasintheanswer.","17aloanfor104259istakenoutfor10yearswithanannualinterestrateof94compoundedquarterlywhatquarterlypaymentisrequiredtopaytheloanoffin10yearsentertothenearest","id":285,"category":36,"textquestion":286,"slug":287,534538,"A20yearoldhopestoretirebyage65.Tohelpwithfutureexpenses,theyinvest6 500 today at an interest rate of 6.4% compounded annually. At age 65, what is the difference between the exact accumulated value and the approximate accumulated value usingtheRuleof72?","a-20-year-old-hopes-to-retire-by-age-65-to-help-with-future-expenses-they-invest-6-500-today-at-an-interest-rate-of-6-4-compounded-annually-at-age-65-what-is-the-difference-between-the-exact-acc",{"id":289,"category":36,"text_question":290,"slug":291},534546,"The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is acceptable.","the-mean-of-4-numbers-is-5-and-the-mean-of-3-different-numbers-is-12-what-is-the-mean-of-the-7-numbers-together-produce-an-algebraic-solution-guess-and-check-is-acceptable",{"id":293,"category":36,"text_question":294,"slug":295},534580,"4m - 3t + 7 = 16","4m-3t-7-16",{"id":297,"category":36,"text_question":298,"slug":299},534594,"For how long does the principal amount of €7,537 bring the same interest as the principal amount of €12,345 invested for 8 months? Interest calculation is simple and decursive.","for-how-long-does-the-principal-amount-of-7-537-bring-the-same-interest-as-the-principal-amount-of-12-345-invested-for-8-months-interest-calculation-is-simple-and-decursive",{"id":301,"category":36,"text_question":302,"slug":303},534624,"-1/3x+15=18","1-3x-15-18",{"id":305,"category":36,"text_question":306,"slug":307},534626,"Let A denote the set of all people who were alive in 2010. Let B denote the set of all\nreal numbers. Let f assign, to each person in A, their weight during the year 2010.\nIs f a function? Explain in complete sentences.","let-a-denote-the-set-of-all-people-who-were-alive-in-2010-let-b-denote-the-set-of-all-real-numbers-let-f-assign-to-each-person-in-a-their-weight-during-the-year-2010-is-f-a-function-explain-in-c",{"id":309,"category":36,"text_question":310,"slug":311},534667,"fx= 9-x^2 find f(x+h-fx )/h","f-x-9-x-2-find-f-x-h-f-x-h",{"data":313},{"questions":314},[315,319,323,327,331,335,339,343,347,351,355,359,363,367,371,375,379,383,387,391],{"id":316,"category":36,"text_question":317,"slug":318},532006,"a to the power of 2 minus 16 over a plus 4, what is the result?","a-to-the-power-of-2-minus-16-over-a-plus-4-what-is-the-result",{"id":320,"category":36,"text_question":321,"slug":322},532011,"Convert the following function from standard form to vertex form \nfx = x^2 + 7x - 1","convert-the-following-function-from-standard-form-to-vertex-form-f-x-x-2-7x-1",{"id":324,"category":36,"text_question":325,"slug":326},532041,"The strength of Kefexin oral suspension is 100 mg/ml.\nNora has been prescribed cefalexin at a dose of 50 mg/kg/day divided in two single doses.\nNora weighs 14 kg.\nHow many milliliters of solution for Nora should be given as a single dose?","the-strength-of-kefexin-oral-suspension-is-100-mg-ml-nora-has-been-prescribed-cefalexin-at-a-dose-of-50-mg-kg-day-divided-in-two-single-doses-nora-weighs-14-kg-how-many-milliliters-of-solution-for",{"id":328,"category":36,"text_question":329,"slug":330},532043,"a ferry travels 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate.\nAt this rate, what fraction of the distance between the two ports can the ferry travel in one hour.","a-ferry-travels-1-6-of-the-distance-between-two-ports-in-3-7-hour-the-ferry-travels-at-a-constant-rate-at-this-rate-what-fraction-of-the-distance-between-the-two-ports-can-the-ferry-travel-in-one-h",{"id":332,"category":36,"text_question":333,"slug":334},532062,"431414-1*111111-4*53","431414-1-11111-1-4-5-3",{"id":336,"category":36,"text_question":337,"slug":338},532087,"A person who weighs 200 pounds on earth would weigh about 32 pounds on the moon. Find the weight of a person on earth who would weigh 15 pounds on the moon.","a-person-who-weighs-200-pounds-on-earth-would-weigh-about-32-pounds-on-the-moon-find-the-weight-of-a-person-on-earth-who-would-weigh-15-pounds-on-the-moon",{"id":340,"category":36,"text_question":341,"slug":342},533881,"Calculate the equation of the tangent line ay=sinx cos⁡xen x=π/2","calculate-the-equation-of-the-tangent-line-ay-sin-x-cos-x-en-x-2",{"id":344,"category":36,"text_question":345,"slug":346},533940,"4.2x10^_6 convert to standard notation","4-2x10-6-convert-to-standard-notation",{"id":348,"category":36,"text_question":349,"slug":350},533981,"1. Suppose we have a good whose quantity supplied changed from 100 to 120 units when the price increased from 10to12 per unit. Compute the price elasticity of supply using the midpoint method","1-suppose-we-have-a-good-whose-quantity-supplied-changed-from-100-to-120-units-when-the-price-increased-from-10-to-12-per-unit-compute-the-price-elasticity-of-supply-using-the-midpoint-method",{"id":352,"category":36,"text_question":353,"slug":354},534074,"Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll?\n Draw the diagram","solve-this-mathematical-problem-if-3-5-of-a-roll-of-tape-measures-2m-how-long-is-the-complete-roll-draw-the-diagram",{"id":356,"category":36,"text_question":357,"slug":358},534105,"A pair of die is thrown and the absolute difference of the two scores is recorded. What is the probability of the absolute difference being 4 or more?","a-pair-of-die-is-thrown-and-the-absolute-difference-of-the-two-scores-is-recorded-what-is-the-probability-of-the-absolute-difference-being-4-or-more",{"id":360,"category":36,"text_question":361,"slug":362},534214,"Nice's central library building is considered one of the most original in the world, as it is a mix between a sculpture and a work of habitable architecture. It was called La Tête Carrée and is made up of part of a bust that supports a cube divided into five floors.\n It is known that the building has a total height of approximately 30 meters. It admits that the cubic part of the sculpture is parallel to the floor and has a volume of 2744 meters3\n Calculate, in meters, the height of the bust that supports the cube.\n Displays all the calculations you made.","nice-s-central-library-building-is-considered-one-of-the-most-original-in-the-world-as-it-is-a-mix-between-a-sculpture-and-a-work-of-habitable-architecture-it-was-called-la-tete-carree-and-is-made-u",{"id":364,"category":36,"text_question":365,"slug":366},534340,"A bag has 4 green lollipops, 3 white lollipops, and 1 black lollipop. What is the probability of drawing a white lollipop?","a-bag-has-4-green-lollipops-3-white-lollipops-and-1-black-lollipop-what-is-the-probability-of-drawing-a-white-lollipop",{"id":368,"category":36,"text_question":369,"slug":370},534371,"Determine a general formula​ orformulas for the solution to the following equation.​ Then, determine the specific solutions​ ifany on the interval [0,2π).\ncos30=0","determine-a-general-formula-or-formulas-for-the-solution-to-the-following-equation-then-determine-the-specific-solutions-if-any-on-the-interval-0-2-cos30-0",{"id":372,"category":36,"text_question":373,"slug":374},534378,"Your grandfather has run a small high street pharmacy for 40 years. After much persuasion, he has agreed to open a digital store online. List 5 potential ways to improve sales and/or margins by having a digital pharmacy through the utilisation of historic or new sales data.","your-grandfather-has-run-a-small-high-street-pharmacy-for-40-years-after-much-persuasion-he-has-agreed-to-open-a-digital-store-online-list-5-potential-ways-to-improve-sales-and-or-margins-by-having",{"id":376,"category":36,"text_question":377,"slug":378},534417,"Let X be a discrete random variable such that EX=3 and VX=5. Let 𝑌 = 2𝑋^2 − 3𝑋. Determine EY.","let-x-be-a-discrete-random-variable-such-that-e-x-3-and-v-x-5-let-y-2x-2-3x-determine-e-y",{"id":380,"category":36,"text_question":381,"slug":382},534488,"7- A printing company found in its investigations that there were an average of 6 errors in 150-page prints. Based on this information, what is the probability of there being 48 errors in a 1200-page job?","7-a-printing-company-found-in-its-investigations-that-there-were-an-average-of-6-errors-in-150-page-prints-based-on-this-information-what-is-the-probability-of-there-being-48-errors-in-a-1200-page",{"id":384,"category":36,"text_question":385,"slug":386},534609,"Sally’s sales for last Sunday were 1,278.Thatwasanincreaseof6.5sicons":410},{"bxl:facebook-circle":411,"bxl:instagram":415,"mdi:web":417,"la:apple":419,"ph:google-logo-bold":422,"ph:google-logo":425},{"left":412,"top":412,"width":413,"height":413,"rotate":412,"vFlip":184,"hFlip":184,"body":414},0,24,"\u003Cpath fill=\"currentColor\" d=\"M12.001 2.002c-5.522 0-9.999 4.477-9.999 9.999c0 4.99 3.656 9.126 8.437 9.879v-6.988h-2.54v-2.891h2.54V9.798c0-2.508 1.493-3.891 3.776-3.891c1.094 0 2.24.195 2.24.195v2.459h-1.264c-1.24 0-1.628.772-1.628 1.563v1.875h2.771l-.443 2.891h-2.328v6.988C18.344 21.129 22 16.992 22 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