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 derivative of the function f(x) = x^3 - 2x^2 + 5x + 1?
+
Question: How many different ways can a committee of 4 members be selected from a group of 10 people?
+
Math question: What is the derivative of the function f(x) = 5x^3 - 2x^2 + 7x - 1?
+
New questions in Mathematics
1 + 1
Solution of the equation y'' - y' -6y = 0
2. Juan is flying a piscucha. He is releasing the thread, having his hand at the height of the throat, which is 1.68 meters from the ground, if the thread forms an angle of elevation of 50°, at what height is the piscucha at the moment that Juan has released 58 meters of the thread?
(6.2x10^3)(3x10^-6)
what is the annual rate on ​$525 at 0.046​% per day for 3 months?
The expected market return is 13,86% and the risk free rate 1%. What would then be the risk premium on the common stocks of a company which beta is 1,55? (in %, 2 decimal places)
The thermal representation f(x) = 20 times 0.8 to the power of x is known from an exponential function f. Specify the intersection point with the y-axis
I want you to solve this problem as a grade sixth pupil in primary school: 8 Pigs ate 6 bags of fee in 20 days. How long will it take 10 pigs to eat 15 bags of feed eating at the same rate?
-1%2F2x-4%3D18
The volume of a cube decreases at a rate of 10 m3/s. Find the rate at which the side of the cube changes when the side of the cube is 2 m.
A popular cell phone family plan provides 1500 minutes. It charges 89.99/month for the first 2 lines and 9.99 for every line after that. Unlimited text messages for all phone lines costs $30.00/month, and Internet costs $10.00/month per phone line. If a family with a $200 monthly budget buys this plan and signs up for unlimited text messaging and Internet on each phone line, how many cell phone lines can they afford? Use an inequality to solve this problem. Graph your solution on the number line and explain the meaning of your graph in a sentence.
A,B,C and D are the corners of a rectangular building. Find the lengths the diagonals if AB measures 38' - 9" and AD measures 56' - 3"
A building lot is in the shape of a triangle with a base of 133 feet and a height of 76 feet. What is it's area in square feet?
suppose a city with population 80,000 has been growing at a rate of 8% per year if this rate continues find the population of this city in 10 years
Find the area of a triangle ABC when m<C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.
How many cards do you expect to pull from a poker deck until you get an ACE?
If sin A=0.3 and cos A=0.6, determine the value of tan A.
2 - 6x = -16x + 28
The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?
8(x+4) -4=4x-1