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)
Math question: Graph the inequality 2x + 3y ≀ 12. Does the point (1, 4) satisfy this inequality? Justify your answer.
+
What is the slope-intercept form of the linear function that represents a line passing through (2,5) and (4,9)?
+
What is the equation of a hyperbola with a center at (-2,5), one vertex at (-4, 5), and asymptotes given by the equations y = 2x + 9 and y = -2x + 1?
+
New questions in Mathematics
1 + 1
-6n+5=-13
5(4x+3)=75
Find the equation of the normal to the curve y=xΒ²+4x-3 at point(1,2)
how many arrangement can be made of 4 letters chosen from the 8 letters of the world ABBSOLUTE
By direct proof, how can you prove that β€œThe sum of any three consecutive even integers is always a multiple of 6”.
5.- From the probabilities: 𝐏(𝐁) = πŸ‘πŸŽ% 𝐏(𝐀 ∩ 𝐁) = 𝟐𝟎% 𝐏(𝐀 Μ…) = πŸ•πŸŽ% You are asked to calculate: 𝐏(𝐀 βˆͺ 𝐁)
If 0101, what is the binary representation of the 4x16 decoder output?
What is 28 marks out of 56 as a percentage
Two business partners have a bank balance of $17,942.00. After the first year their interest brings their balance to $18,928.91. What rate of interest is earned?
suppose random variable x follows poisson distribution with expected value 3. what is variance of x?
Calculate the value of a so that the vectors (2,2,βˆ’1),(3,4,2) and(a,2,3) are coplanar.
From 1975 through 2020 the mean annual gain of the Dow Jones Industrial Average was 652. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume the standard deviation is 1539
effectiveness of fiscal and monetary policy under closed and open economies
A diamond ring was reduced from $999.99 to $689.99. Find the percent reduction in the price. Round the answer to the nearest tenth of a percent, if necessary.
Calculate the area of the parallelogram with adjacent vertices (1,4, βˆ’2), (βˆ’3,1,6) 𝑦 (1, βˆ’2,3)
What is the total amount due and the amount of interest on a 3-year loan of $1,000 at a simple interest rate of 12% per year?
22. Let [AB] be a chord in a circle C, and k a circle which is internally tangent to the circle C at a point P and to the chord [AB] at a point Q. Show that the line P Q passes through the midpoint of the arc AB opposite to the arc APB.
5a-3.(a-7)=-3
f(x)= 9-x^2 find (f(x+h)-f(x) )/h