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The Henley's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much will the loan be after 5 years?

Question

The Henley's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much will the loan be after 5 years?

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Solution

To calculate the total amount of the loan after 5 years with an annual interest rate of 4.3%, we use the formula for compound interest which is:

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

Where: A = the amount of money accumulated after n years, including interest. P = principal amount (the initial amount of money) r = annual interest rate (in decimal) n = number of times that interest is compounded per year t = time the money is invested for in years

In this case: P = $195,000 r = 4.3/100 = 0.043 (you divide by 100 to convert the percentage into a decimal) n = 1 (since the interest is compounded annually) t = 5 years

Substituting these values into the formula, we get:

A = $195,000(1 + 0.043/1)^(1*5)

Solving this equation will give us the total amount of the loan after 5 years.

This problem has been solved

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