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 value of the constant function f(x)=5 when x = 10?
+
What is the unit vector component along the x-axis for a vector v with magnitude 5 and direction 30 degrees above the positive x-axis?
+
What is the slope-intercept equation of a line that passes through the points (2, 5) and (5, -1)?
+
New questions in Mathematics
Let f(x)=||x|−6|+|15−|x|| . Then f(6)+f(15) is equal to:
11(4x-9)= -319
224 × (6÷8)
To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?
Analyze the following situation Juan is starting a new business, he indicates that the price of his product corresponds to p=6000−4x , where x represent the number of tons produced and sold and p It is given in dollars. According to the previous information, what is the maximum income that Juan can obtain with his new product?
Find the derivatives for y=X+1/X-1
The average number of babies born at a hospital is 6 per hour. What is the probability that three babies are born during a particular 1 hour period?
Two minus log 3X equals log (X over 12)
Show work on 4108 divided by 4
The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion is greater than 35%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is z= 2.6. Find the P-value for this test.
What is the value of f(-3) for the function X squared+5x-8=
The annual real property tax liability for a residential property is $4302 and has been paid by the seller in advance of closing. Using the 30-day month/260-day year method what will be the tax proration entry on the settlement statement round to the nearest dollar for a closing on Oct. 26 if the buyer owns the day of closing? a. $3525 credit to the buyer and $777 debit to the seller b. $777 debit to the buyer and $3525 debit to the seller c. $777 credit to the buyer and $777 debit to the seller d. $3525 debit to the buyer and $3525 credit to the seller *Can anyone help with this? I am studying for my real estate exam and am having trouble with some of the calculations :)
Gender and communication : Answer the question ( 1 paragraph is ok) . Please can you write about women? Compared to your other identities, how much of a role does gender play in your life? And has your own sex/gender offered you privileges or disadvantages? How so?
0<x<2π aralığındaki f(x)=x÷2 fonksiyonunun 0 < x < 4π için grafiğini çiziniz ve 0<x<2n için Fourier seri dönüşümünü gerçekleştiriniz.
-6 - t / 4 = -1
How many digits are there in Hindu-Arabic form of numeral 26 × 1011
Carmen's age was twice as old as Luis was when Carmen was Luis's age. When Luis is Carmen's age, their ages will add up to 112.
Find the orthogonal projection of a point A = (1, 2, -1) onto a line passing through the points Pi = (0, 1, 1) and P2 = (1, 2, 3).
Exercise The temperature T in degrees Celsius of a chemical reaction is given as a function of time t, expressed in minutes, by the function defined on ¿ by: T (t )=(20 t +10)e−0.5t. 1) What is the initial temperature? 2) Show that T' (t )=(−10 t +15)e−0 .5t. 3) Study the sign of T' (t ), then draw up the table of variations of T . We do not ask for the limit of T in +∞. 4) What is the maximum temperature reached by the reaction chemical. We will give an approximate value to within 10−2. 5) After how long does the temperature T go back down to its initial value? We will give an approximate value of this time in minutes and seconds. DM 2: study of a function Exercise The temperature T in degrees Celsius of a chemical reaction is given as a function of time t, expressed in minutes, by the function defined on ¿ by: T (t )=(20 t +10)e−0.5t. 1) What is the initial temperature? 2) Show that T' (t )=(−10 t +15)e−0.5 t. 3) Study the sign of T' (t ), then draw up the table of variations of T . We do not ask for the limit of T in +∞. 4) What is the maximum temperature reached by the reaction chemical. We will give an approximate value to within 10−2. 5) After how long does the temperature T go back down to its initial value? We will give an approximate value of this time in minutes and seconds.
Find the rule that connects the first number to the second number of each pair. Apply the rule to find the missing number in the third pair. (18 is to 22) (54 is to 26) (9 is to ?)