Problem

4. April took out a $600 loan from the bank. At the end of 5 years, she pays back the principal, plus $60 simple interest. What was the annual interest rate?

Answer

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Answer

R=0.02 or 2% when expressed as a percentage.

Steps

Step 1 :Given in the problem: Principal (P) = 600,Interest(I)=60, Time (T) = 5 years. We need to find the rate (R).

Step 2 :The formula for simple interest is I=PRT, where I is the interest, P is the principal, R is the rate, and T is the time.

Step 3 :Substituting the given values into the formula, we get: 60=600R5.

Step 4 :Solving for R, we get: R=606005.

Step 5 :Solving the above equation, we get R=0.02.

Step 6 :So, the annual interest rate is 0.02, or 2% when expressed as a percentage.

Step 7 :Let's check our answer: If we substitute R=0.02 back into the formula, we get: I=PRT, I=6000.025, I=$60.

Step 8 :This matches the interest given in the problem, so our answer is correct. The annual interest rate is 2%.

Step 9 :R=0.02 or 2% when expressed as a percentage.

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