Question

A loan for $3,000 with a simple annual interest rate of 17% was made on June 14th and was due on August 16th the loan was made to avoid $100 price increase that will take place on June 19th the equipment is needed now but the money to pay for the equipment will not be available until mid middle of August use exact interest is it advisable to borrow the money to get the equipment now a no because of modest loss of blank will be gained or b yes because of modest savings of only blank will be realized

167

likes
835 views

Answer to a math question A loan for $3,000 with a simple annual interest rate of 17% was made on June 14th and was due on August 16th the loan was made to avoid $100 price increase that will take place on June 19th the equipment is needed now but the money to pay for the equipment will not be available until mid middle of August use exact interest is it advisable to borrow the money to get the equipment now a no because of modest loss of blank will be gained or b yes because of modest savings of only blank will be realized

Expert avatar
Darrell
4.5
100 Answers
To determine the wise decision, we need to calculate the interest on the loan for the specified period (from June 14 to August 16) and then compare it with the cost avoided by getting the equipment before June 19th.

Let's start by calculating the interest on the loan:

1. **Determine the Time Period in Years:**
- June 14th to August 16th is 63 days (from June 14th to July 14th is 30 days, then from July 14th to August 14th is another 30 days, and finally, from August 14th to 16th is 3 days). Converting this to years: \frac{63}{365} years.

2. **Apply the Interest Formula:**
- Principal (P): $3,000
- Rate (R): 17% or 0.17 as a decimal
- Time (T): \frac{63}{365} years

3. Using the interest formula \text{Interest} = P \times R \times T, we can calculate the interest:

\text{Interest} = 3000 \times 0.17 \times \frac{63}{365} = 88.03

The interest on the loan for the period from June 14th to August 16th would be approximately $88.03.

Now, let's compare this interest to the $100 price increase that would have been incurred if the equipment was bought after June 19th:

The difference would be 100 - 88.03 = 11.97.

**Answer:**

Therefore, it is advisable to borrow the money to get the equipment now because a modest saving of only $11.97 will be realized.

Frequently asked questions (FAQs)
What is the derivative of f(x) = 3x^4 - 2x^3 + 5x^2 - 7x + 9 when evaluated at x = 2.5?
+
What is the length of side b in a triangle if side a has a length of 10, angle B measures 60 degrees, and angle C measures 70 degrees?
+
What is the probability of rolling a sum of 10 with two fair dice?
+
New questions in Mathematics
10.Silvana must knit a blanket in 9 days. Knitting 8 hours a day, at the end of the fifth day, only 2/5 of the blanket was done. To be able to finish on time, how many hours will Silvana have to knit per day?
The profit G of the company CHUNCHES SA is given by G(x) = 3×(40 – ×), where × is the quantity of items sold. Find the maximum profit.
A brass cube with an edge of 3 cm at 40 °C increased its volume to 27.12 cm3. What is the final temperature that achieves this increase?
Find the root of x^4-10x^ 5=0 using Newton's method, with a precision of the smallest positive root.
Suppose 56% of politicians are lawyers if a random sample of size 873 is selected, what is the probability that the proportion of politicians who are lawyers will be less than 55% round your answer to four decimal places
Equivalent expression of the sequence (3n-4)-(n-2)
To celebrate the five-year anniversary of a consultancy specializing in information technology, the administrator decided to draw 3 different qualification courses among its 10 employees. Considering that the same employee cannot be drawn more than once, the total number of different ways of drawing among employees is:
Primes are numbers divisible only by 1 and themselves; There are infinitely many prime numbers and the first ones are 2, 3, 5, 7, 11, 13, 17, 19, 23, .... Consider a 12-sided die, with the faces numbered from 1 to 12. Out of 4 rolls, the probability that only the first three numbers are primes is:
User Before the election, a poll of 60 voters found the proportion who support the Green candidate to be 25%. Calculate the 90% confidence interval for the population parameter. (Give your answers as a PERCENTAGE rounded to TWO DECIMAL PLACES: exclude any trailing zeros and DO NOT INSERT THE % SIGN) Give the lower limit of the 90% confidence interval Give the upper limit of the 90% confidence interval
Let A, B, C and D be sets such that | A| = |C| and |B| = |D|. Prove that |A × B| = |C × D|
I. Order to add 40.25+1.31+.45 what is the first action to do ?
There are 3 orchards, a, b and c. Orchard a has 60 fewer trees than orchard b orchard c has 3 times as many trees as orchard b. If the three orchards have 430 trees altogether, how many trees does orchard c have?
On+January+10+2023+the+CONSTRUCTORA+DEL+ORIENTE+SAC+company+acquires+land+to+develop+a+real estate+project%2C+which+prev%C3% A9+enable+50+lots+for+commercial+use+valued+in+S%2F+50%2C000.00+each+one%2C+the+company+has+as+a+business+model+generate+ cash+flow+through%C3%A9s+of+the+rental%2C+so+47%2C+of+the+50+enabled+lots+are+planned to lease+47%2C+and+ the+rest+will be%C3%A1n+used+by+the+company+for+management%C3%B3n+and+land+control
When Sara was 15 years old, an uncle left her as inheritanceà a sum of 10,000 euros which he invested in a bank that applies the interest rate of 2,5% annual. Today Sara is 18 years and wants to buy a'car, how much she can ò withdraw from the bank?
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
We have received our p&l statement back from accounts. The board has asked for an innovation hub. What items should we prioritise reviewing to decide if we can afford an innovation hub?
17. A loan for $104259 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? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
2X+2=8
Let I be an interval and let f : I → R be a continuous function such that f(I) ⊂ Q. Show (in symbols) that f is constant.
(3.1x10^3g^2)/(4.56x10^2g)