Question

I am earning $5 000 a month. I borrow $250 000 from a commercial bank. I was told to pay monthly interest of 4% over three years time. The interest is based on the principle. A: How much will I repay the loan in total over the 3 years time? B: How much will be the loan repayment on the first month, second month, third month and forth month?

149

likes
744 views

Answer to a math question I am earning $5 000 a month. I borrow $250 000 from a commercial bank. I was told to pay monthly interest of 4% over three years time. The interest is based on the principle. A: How much will I repay the loan in total over the 3 years time? B: How much will be the loan repayment on the first month, second month, third month and forth month?

Expert avatar
Hester
4.8
117 Answers
Step 1: Calculate the total amount to be repaid over 3 years.
Given: Principal amount (P) = 250,000, monthly interest rate (r) = 4%, monthly earning = 5,000

Formula to calculate total interest over n months: P\times r \times n
Total repayment = Principal amount + Total interest
Total interest over 3 years = $250,000 * 0.04 * 36
Total repayment = 250,000 + 360,000

Step 2: Calculate monthly interest payment over the 3 years period.
Total monthly payment = Total repayment / 36 months

Step 3: Calculate monthly interest payment for each month.
For the first month, the remaining principal is 250,000. Calculate the interest using the formula: remaining\ principal\times monthly\ interest\ rate$

For the second month, the remaining principal will be the previous remaining principal minus the principal amount paid in the first month. Calculate interest in the same way.

Continue this process for the third and fourth months.

Step 4: Provide the answers.
A: Total repayment over 3 years time is \ 250,000 + \ 360,000 = \ 610,000$.

B:
- Loan repayment for the first month = Total monthly payment
- Loan repayment for the second month = Remaining principal after the first month * 0.04
- Loan repayment for the third month = Remaining principal after the second month * 0.04
- Loan repayment for the fourth month = Remaining principal after the third month * 0.04

\textbf{Answer:}
A: Total repayment over 3 years time is \ 610,000$.
B:
- First month: \ 16,944$
- Second month: \ 16,611$
- Third month: \ 16,278$
- Fourth month: \ 15,945$

Frequently asked questions (FAQs)
What is the mass in kilograms of a object that weighs 500 pounds?
+
In a triangle with sides: a = 10, b = 15, angle C = 60°, find side c using the Sine Law.
+
Question: Find the value of cos(45°) - sin(30°) + tan(60°) + 2sin(90°)
+
New questions in Mathematics
One contestant on a game show has 1,500 points and another contestant has -250 points. What is the difference between the scores of the contestants?
QUESTION l. An investigation has been carried out in a region to know the perception of "citizen insecurity" of its inhabitants. 1,270 people in the region were interviewed, of which 27.1% responded that it was a "serious" problem. Knowing that this opinion was previously held by 25.3% of the population of that region, we want to know if said opinion has changed significantly for a confidence level of 97.2%. Taking this statement into account, the following is requested: a) Critical value of the contrast statistic. b) Solve the hypothesis test and indicate what conclusion we can reach. c) P-value of contrast.
A person who weighs 200 pounds on earth would weigh about 32 pounds on the moon. Find the weight of a person on earth who would weigh 15 pounds on the moon.
Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6
The bus one way of the road which is 10km is heading with speed of 20km/h ,then the bus the other 10km is heading with speed of 60km/h. The middle speed of the road is it equal with arithmetic speed of the v1 and v2 ?
9b^2-6b-5
-0.15/32.6
4. Show that if n is any integer, then n^2 3n 5 is an odd integer
At the dance there are 150 boys the rest are girls. If 65% are girls what is the total amount in the room
The grading on a $159,775 house comes to $3974.75. What percent of the total cost is this? (Express your answer to the nearest hundredth percent.)
How to factorise 5y^2 -7y -52
Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution. Determine the pH of final solution.
Solve the following 9x - 9 - 6x = 5 + 8x - 9
Convert (324)𝑓𝑖𝑣𝑒 into base-ten
Recall that with base- ten blocks, 1 long = 10 units, 1flat = 10 long, and a block = 1 unit. Then what number does 5 flat, 17long and 5 units represent represent ?
The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?
Define excel and why we use it?
23,456 + 3,451
The car with an irresponsible driver starts to brake when it goes through a red light. When passing the traffic light, he does so at a speed of 115 kph in the right lane. Further ahead, 70 meters from the traffic light, a child is crossing the street and falls. If the effect of the car's brakes is equivalent to a deceleration of magnitude 5.7m/s². Is the child hit by the car or not? How far from the traffic light does the car stop?
Construct a set of six pieces of data with​ mean, median, and midrange of 67 and where no two pieces of data are the same.