To calculate the simple interest earned over a specific period, you can use the formula:
\[ I = P \times r \times t \]
where:
- \( I \) is the interest earned,
- \( P \) is the principal amount (initial deposit),
- \( r \) is the annual interest rate (in decimal form),
- \( t \) is the time in years.
For this problem:
- \( P = 5000 \)
- \( r = 7.25% = 0.0725 \)
- \( t = 18 \) years
Now, plug in the values:
\[ I = 5000 \times 0.0725 \times 18 \]
Calculating this step by step:
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Calculate \( 0.0725 \times 18 \): \[ 0.0725 \times 18 = 1.305 \]
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Now, multiply by the principal: \[ I = 5000 \times 1.305 = 6525 \]
Thus, the total interest earned after 18 years is:
\[ \boxed{6525} \]