Question

The business loan disbursed in March for S/. 150,000 at an APR of 12% was agreed to be paid in 3 equal monthly installments of S/. 55,000 starting in April, however, only 1 installment was paid in April and the businessman wishes to modify his schedule by paying the entire available balance in 2 equal installments in October and November. Determine how much the fees are

213

likes
1066 views

Answer to a math question The business loan disbursed in March for S/. 150,000 at an APR of 12% was agreed to be paid in 3 equal monthly installments of S/. 55,000 starting in April, however, only 1 installment was paid in April and the businessman wishes to modify his schedule by paying the entire available balance in 2 equal installments in October and November. Determine how much the fees are

Expert avatar
Eliseo
4.6
110 Answers
1. **Initial Loan & Payment Details**:
- Original Loan Amount: 150,000
- Interest Rate (APR): 12%
- Monthly Interest Rate: \frac{12}{12} = 1\% = 0.01
- First Installment Paid: 55,000 in April

2. **Calculating Remaining Balance Before Re-Structuring**:
- Remaining Balance After April Payment (No Interest Considered for April):
150,000 - 55,000 = 95,000

3. **Paying the Balance in Two Equal Installments**:
- Since the loan should be cleared in two installments, simply divide the remaining balance by 2.
- Each installment:
\frac{95,000}{2} = 47,500

4. **Interest on Remaining Balance Between April and Installment Period**:

- Since there's no intermediate payment between the settled payment for April and the restructured installments in October and November, we assume interest needs to be recalculated on the unpaid balance.
- Adding accumulated interest from May to October on the remaining balance:

- Remaining Balance: 95,000
- Interest accumulation over 5 months on balance:

\text{Future Value (FV)} = 95,000 \times (1 + 0.01)^5

- \text{FV} = 95,000 \times 1.0510100501 \approx 99,845.95

5. **Final Payments**:
- Divide 99,845.95 equally over the two months:
\frac{99,845.95}{2} \approx 49,922.97 per month.

- Since we need to pay in two equal amounts aligning to business scenarios, we can correctly round this amount to manageable numbers relative to original debts:
- Final amount rounded: \approx S/. 50,000 each for two payments.

So, based on unpaid interest and redistribution of the loan, suitable equal payments in general business perspectives for October and November would be calculated around S/. 50,000 each to cover any inconsistencies due to challenge beyond the direct problem stated.

Frequently asked questions (FAQs)
What is the value of f(x) + g(x) when f(x) = 10^x and g(x) = e^x? (
+
Find the smallest positive value of x for which f(x) = cot(x) is equal to its maximum value, then evaluate f(x) at that point.
+
Math question: Find the fourth derivative of f(x) = 3x^5 - 2x^3 + 4x^2 - 6x + 1.
+
New questions in Mathematics
A particular employee arrives at work sometime between 8:00 a.m. and 8:50 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:50 a.m. Find the probability that the employee will arrive between 8:05 a.m. and 8:40 a.m. Round your answer to four decimal places, if necessary.
8x²-30x-10x²+70x=-30x+10x²-20x²
The ratio of tomatoes to red apples is 2:5. If there are 20 tomaoes in the garden, how many red apples are there?
2x-4y=-6; -4y+4y=-8
A soft drink machine outputs a mean of 23 ounces per cup. The machines output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 26 and 28 ounces round your answer to four decimal places
Analyze the following situation Juan is starting a new business, he indicates that the price of his product corresponds to p=6000−4x , where x represent the number of tons produced and sold and p It is given in dollars. According to the previous information, what is the maximum income that Juan can obtain with his new product?
2/3+5/6×1/2
∫ √9x + 1 dx
The price per night of a suite at the Baglioni Hotel in Venice is 1896 euros, VAT included. The VAT in Italy is 25%. The hotel gets a return of 10% out of the price VAT included. a) What is the amount of VAT paid by the hotel for one
Calculate the value of a so that the vectors (2,2,−1),(3,4,2) and(a,2,3) are coplanar.
Shows two blocks, masses 4.3 kg and 5.4 kg, being pushed across a frictionless surface by a 22.5-N horizontal force applied to the 4.3-kg block. A. What is the acceleration of the blocks? B. What is the force of the 4.3-kg block on the 5.4 -kg block? C. What is the force of the 5.4 -kg block on the 4.3 -kg block?
Show this compound proposition to be true or false. Paris is the capital of England or Rome is the capital of Italy
Two minus log 3X equals log (X over 12)
In a company dedicated to packaging beer in 750 mL containers, a normal distribution is handled in its packaging process, which registers an average of 745 mL and a standard deviation of 8 mL. Determine: a) The probability that a randomly selected container exceeds 765 mL of beer b) The probability that the beer content of a randomly selected container is between 735 and 755 mL.
-5x=115
What js the greatest 4-digit even number that can be formed by 3,6,1,4?
Beren spent 60% of the money in her piggy bank, and Ceren spent 7% of the money in her piggy bank to buy a joint gift for Deren, totaling 90 TL. In the end, it was observed that the remaining amounts in Ceren and Beren's piggy banks were equal. Therefore, what was the total amount of money that Beren and Ceren had initially? A) 120 B) 130 C) 150 D) 160 E) 180
-Please answer to the following questions: What is the price elasticity of demand? Can you explain it in your own words? What is the price elasticity of supply? Can you explain it in your own words? What is the relationship between price elasticity and position on the demand curve? For example, as you move up the demand curve to higher prices and lower quantities, what happens to the measured elasticity? How would you explain that? B-Assume that the supply of low-skilled workers is fairly elastic, but the employers’ demand for such workers is fairly inelastic. If the policy goal is to expand employment for low-skilled workers, is it better to focus on policy tools to shift the supply of unskilled labor or on tools to shift the demand for unskilled labor? What if the policy goal is to raise wages for this group? Explain your answers with supply and demand diagrams. Make sure to properly cite and reference your academic or peer-reviewed sources (minimum 2).
A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 55.0 min at 100.0 km/h, 14.0 min at 65.0 km/h, and 45.0 min at 60.0 km/h and spends 20.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.
Find the rule that connects the first number to the second number of each pair. Apply the rule to find the missing number in the third pair. (18 is to 22) (54 is to 26) (9 is to ?)