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Evan had $244,000 in student loan debt. His loans earned simple interest at an annual interest rate of 3.55%. For his first 3 years after college, Evan did not make any payments on this account. How much did he owe after 3 years?

a) $271,942
b) $256,656
c) $254,443
d) $239,157

1 Answer

4 votes

Final answer:

To calculate the total amount Evan owed after 3 years, the simple interest formula was used with a principal of $244,000, a rate of 3.55%, and a time of 3 years. The interest amounted to $25,962, leading to a total owed amount of $269,962, which does not match any of the provided answer choices, suggesting a possible error.

Step-by-step explanation:

To calculate how much Evan owed after 3 years with a simple interest rate of 3.55%, we will use the formula for calculating simple interest, which is Interest = Principal × Rate × Time. In this case, the principal amount (P) is $244,000, the rate (r) is 3.55%, and the time (t) is 3 years.

First, convert the annual interest rate from a percentage to a decimal by dividing by 100:

3.55% ÷ 100 = 0.0355

Next, plug the values into the formula:

Interest = $244,000 × 0.0355 × 3

Interest = $25,962

Now, add the interest to the principal to find the total amount owed after 3 years:

Total Amount Owed = Principal + Interest

Total Amount Owed = $244,000 + $25,962

Total Amount Owed = $269,962

It seems there may be a discrepancy as none of the provided answer choices match the calculated total amount owed. It might be due to a typographical error in the question or the answer options given. However, based on the information provided, this would be the correct approach to calculating the total owed amount.

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