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Waldo borrows $720 at 4.8% simple interest per month, and he pays the loan back in 5 years. How much interest does he pay?

A) $3,456
B) $3,600
C) $2,880
D) $2,592

User Ryanjones
by
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1 Answer

6 votes

Final answer:

Waldo will pay a total of $2,073.60 in simple interest over 5 years for his $720 loan at a monthly interest rate of 4.8%, after converting the rate to an annual percentage. The provided options do not match the calculated interest, suggesting there may be an error in the question setup.

Step-by-step explanation:

To calculate the simple interest that Waldo will pay on his loan, we use the simple interest formula:

I = PRT, where:

  • I is the interest
  • P is the principal amount (the initial amount of the loan)
  • R is the rate of interest per year
  • T is the time the money is borrowed for, in years

For Waldo's loan, P is $720, the rate of R is 4.8% per year, and T is 5 years. However, the rate given is monthly, so we need to first convert it to an annual rate by multiplying by 12. Then we calculate as follows:

R = 4.8% per month × 12 months/year = 57.6% per year

Now, plug these values into the formula:

I = $720 × 57.6% × 5 years

I = $720 × 0.576 × 5

I = $2,073.60

Therefore, the total interest Waldo will pay over 5 years is $2,073.60, which means none of the provided options A) $3,456 B) $3,600 C) $2,880 D) $2,592 is correct. The question might have an error in the interest rate being monthly instead of annually.

User Kvass
by
8.1k points
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