Powell French
05/11/2024 · Middle School

5. Ethan put \( \$ 1,250 \) into a savings account. The account pays \( 4.5 \% \) simple interest on an annual basis. If he does not add or withdraw money from the account, how much interest will he earn after 2 years? Round to the nearest cent. (Example 1)

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To calculate the simple interest earned on an account, you can use the formula: \[ I = P \times r \times t \] where: - \( I \) is the interest earned, - \( P \) is the principal amount (the initial amount of money), - \( r \) is the annual interest rate (in decimal form), - \( t \) is the time the money is invested or borrowed for, in years. In this case: - \( P = 1250 \) (the initial amount), - \( r = 4.5\% = 0.045 \) (the interest rate in decimal form), - \( t = 2 \) (the time in years). Now, plug in the values: \[ I = 1250 \times 0.045 \times 2 \] Calculating this step-by-step: 1. Calculate \( 0.045 \times 2 = 0.09 \). 2. Now multiply by the principal: \( 1250 \times 0.09 = 112.5 \). Thus, the interest earned after 2 years is: \[ I = 112.50 \] So, Ethan will earn **$112.50** in interest after 2 years.

Quick Answer

Ethan will earn $112.50 in interest after 2 years.
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