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
116 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 standard deviation of a set of 20 data points: 5, 7, 9, 10, 11, 12, 15, 17, 18, 18, 19, 21, 23, 26, 27, 29, 30, 33, 35, 40?
+
What is the solution to the equation 3x + 2 = 14?
+
Question: Convert 7.2 meters to feet.
+
New questions in Mathematics
𝑦 = ( 𝑥2 − 3) (𝑥3 + 2 𝑥 + 1)
5(4x+3)=75
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, 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.
Imagine that you are in an electronics store and you want to calculate the final price of a product after applying a discount. The product you are interested in has an original price of $1000 MN, but, for today, the store offers a 25% discount on all its products. Develop an algorithm that allows you to calculate the final price you will pay, but first point out the elements.
The director of a company must transfer 6 people from the human resources department to the sales department, in order to sustain sales during the month of December. What is the probability that he will transfer only 2 of them?
9b^2-6b-5
A construction company is working on two projects: house construction and building construction. Each house requires 4 weeks of work and produces a profit of $50,000. Each building requires 8 weeks of work and produces a profit of $100,000. The company has a total of 24 work weeks available. Furthermore, it is known that at least 2 houses and at least 1 building must be built to meet the demand. The company wants to maximize its profits and needs to determine how many houses and buildings it should build to meet demand and maximize profits, given time and demand constraints.
Find the equation of the line perpendicular to −5𝑥−3𝑦+5=0 passing through the point (0,−2)
A force of 750 pounds compresses a spring 3 inches from its natural length, which is 15 inches. What will be the work done to compress it 3 inches more?
15/5+7-5
v Is the following statement a biconditional? If Shannon is watching a Tigers game, then it is on television.
Task 1 angel has 3 quarters 3/8 of a tank of gasoline and Miguel 7/8, who has more gasoline? number line on number line
It is known that the content of milk that is actually in a bag distributes normally with an average of 900 grams and variance 25 square grams. Suppose that the cost in pesos of a bag of milk is given by 𝐶(𝑥) = { 3800 𝑠𝑖 𝑥 ≤ 890 4500 𝑠𝑖 𝑥 > 890 Find the expected cost.
Determine the reduced form of the slope equation equal to 2
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
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.)
Build a truth table for the statement ~(pvq)^~p
A property sold for $745,000 in a co-brokered transaction. The seller has agreed to pay a 7% commission to the listing firm. The listing firm has agreed to equally split the commission with the selling firm. If the buyer’s broker will receive 8% of the selling firm’s commission, how much commission will the buyer’s broker receive? $14,900 $3725 $$37250 $18625
How many moles are there in 235 grams of potassium thiosulfate pentahydrate? K2S2O3*5(H2O)
56 × 12 = 672. How should you adjust this answer 672 to determine 57 × 12? a) The answer increases by 1 b) The answer increases by 57 c) The answer increases by 56 d) The answer increases by 12