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 y = tanh(x) - cosh(x) at x = 0?
+
What is the value of x in the equation log(base 2) x = 5?
+
What is the domain of the function f(x) = sin(x) + 2cos(x) in radians between -π/2 and 3π/2?
+
New questions in Mathematics
Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution
8x-(5-x)
3(4×-1)-2(×+3)=7(×-1)+2
5 people can complete a task in 72 hours. How many people are needed to complete the task in 60 hours.
Solve the math problem 400 students are asked if they live in an apartment and have a pet: Apartment: 120 Both: 30 Pet: 90 The probability that a randomly selected student not living in an apartment has a pet is
What is the r.p.m. required to drill a 13/16" hole in mild steel if the cutting speed is 100 feet per minute?
Find the equation of the line perpendicular to −5𝑥−3𝑦+5=0 passing through the point (0,−2)
The durability of a tire of a certain brand is a Normal random variable with an average of 64,000 km and a standard deviation of 9,000 km. Assuming independence between tires, what is the probability that the 4 tires on a car will last more than 58,000 km?
Log5 625
TEST 123123+1236ttttt
(2m+3)(4m+3)=0
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.
The population of Pittsburgh, Pennsylvania, fell from 520,117 in 1970 to 305,704 in 2010. Write an exponential function P(t) modeling the population t years after 1970. Round the growth factor to the nearest tem thousandth.
Quadratic equation 2X = 15/X + 7
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
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.
When taking a test with m closed answers, a student knows the correct answer with probability p, otherwise he chooses one of the possible answers at random. What is the probability that the student knows the correct answer given that he answered the question correctly.
x²-7x+12=0
a coffee shop has 9 types of creamer and 11 types of sweetener. In how any ways can a person make their coffee?
Convert (324)𝑓𝑖𝑣𝑒 into base-ten