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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Step-by-step Solution
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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