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Gustave and Hanna Rio have obtained an $80,000 mortgage loan on a small retirement condominium at an annual interest rate of 7.5% for 30 years. What is the total amount to be paid in dollars

User Sridharan
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Answer:

The total amount to be paid on the $80,000 mortgage loan at an annual interest rate of 7.5% for 30 years is $201,895.20.

Explanation:

To calculate the total amount to be paid on the $80,000 mortgage loan, we can use the formula for calculating the monthly payment for a mortgage:

P = (Pv * r) / (1 - (1 + r)^-n)

where P is the monthly payment, Pv is the present value (in this case, $80,000), r is the monthly interest rate (which can be calculated by dividing the annual interest rate by 12), and n is the total number of payments (in this case, 30 years or 360 months).

First, we need to calculate the monthly interest rate:

r = (7.5% / 100) / 12 = 0.00625

Next, we can substitute the values into the formula and solve for P:

P = ($80,000 * 0.00625) / (1 - (1 + 0.00625)^-360) = $560.82 (rounded to the nearest cent)

So the monthly payment on the mortgage is $560.82. To find the total amount to be paid, we can multiply the monthly payment by the total number of payments:

Total amount to be paid = $560.82/month * 360 months = $201,895.20

Therefore, the total amount to be paid on the $80,000 mortgage loan at an annual interest rate of 7.5% for 30 years is $201,895.20.

User Kishorekumaru
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