Hugh curtin borrowed $35,000 on july 1, 2017. this amount plus accrued interest at 8% compounded annually is to be repaid on july 1, 2022. how much will hugh have to repay on july 1, 2022?

Respuesta :

Answer: $49,000

Explanation: In order to calculate how much he will need to repay we first need to calculate the amount of interest that he will pay. The formula for interest is Interest = Principal x rate x time.

Using the formula, Interest = $35,000 x .08 x 5, Interest = $14,000

On July 1, 2022 Hugh will need to repay the principal that he borrowed, which was $35,000 plus the interest of $14,000, which is a total of $49,000.

The amount that hugh will have to repay on july 1, 2022 is $51,426.48.

Using this formula  

A=P(1+r/100)^n

Where:

P=$35,000

r=8%

n=5 years

Let plug in the formula

A=$35,000(1+0.08)^5

A=$35,000×(1.08)^5

A=$35,000×1.4693280768

A=$51,426.48

Inconclusion the amount that hugh will have to repay on july 1, 2022 is $51,426.48.

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