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 measure of an angle bisector if two of its angles measure 30° and 60°?
+
Question: What is the value of (2^3) * (3^2) divided by the square root of 16?
+
What is the derivative of sin^2(x) with respect to cos(x)?
+
New questions in Mathematics
5 . {2/5 + [ (8/-9) - (1/-7) + (-2/5) ] ÷ (2/-5)} . 8/15
A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel unit, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.
STUDENTS IN A CLASS LEARN ONLY ONE FOREIGN LANGUAGE. two-sevenths of the students learn German, half of the students learn Spanish, and the remaining six students learn Italian. what is the number of students in this class? detail your reasoning carefully.
Calculate the equation of the tangent line ay=sin(x) cos⁡(x)en x=π/2
Divide 22 by 5 solve it by array and an area model
How many different ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a different experiment?
-27=-7u 5(u-3)
Determine the minimum degree that an algebraic equation can assume knowing that it admits 2 as a double root and -i as a triple root
Calculate the minimum size of a simple random sample assuming a sampling error of 5% assuming that the population size is 100 elements
There are 3 orchards, a, b and c. Orchard a has 60 fewer trees than orchard b orchard c has 3 times as many trees as orchard b. If the three orchards have 430 trees altogether, how many trees does orchard c have?
Use a pattern approach to explain why (-2)(-3)=6
9 x² + 2x + 1 = 0
9.25=2pi r solve for r
A car travels 211 miles on 15 gallons of gasoline. The best estimate of the car’s miles per gallon is?
How to factorise 5y^2 -7y -52
In poker, a full house consists of five cards, where two of the cards have the same number (or letter) and the remaining three also have the same number (or letter) as each other (but not as the previous two cards). Use a search engine or Wikipedia to understand the concept better if necessary. In how many different ways can one obtain a full house?
Find the vertex F(x)=x^2-10x
The average weekly earnings in the leisure and hospitality industry group for a re‐ cent year was $273. A random sample of 40 workers showed weekly average ear‐ nings of $285 with the population standard deviation equal to 58. At the 0.05 level of significance can it be concluded that the mean differs from $273? Find a 95% con‐ fidence interval for the weekly earnings and show that it supports the results of the hypothesis test.
To paint a 250 m wall, a number of workers were employed. If the wall were 30 m longer, 9 more workers would be needed. How many were employed at the beginning?
Kayla started a book club at her school. The number of girls in the book club was one more than twice the number of boys. If there are 15 girls in the book club, how many boys are in the club?