Question
When Marty was born, his parents deposited $5000 in a college savings account that un simple interest at a rate of 7.25% per year how much interest will the money have earned after 18 years?
Answers
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Answered by
GPT-4o mini
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:
1. Calculate \( 0.0725 \times 18 \):
\[
0.0725 \times 18 = 1.305
\]
2. Now, multiply by the principal:
\[
I = 5000 \times 1.305 = 6525
\]
Thus, the total interest earned after 18 years is:
\[
\boxed{6525}
\]
\[
I = P \times r \times t
\]
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:
1. Calculate \( 0.0725 \times 18 \):
\[
0.0725 \times 18 = 1.305
\]
2. Now, multiply by the principal:
\[
I = 5000 \times 1.305 = 6525
\]
Thus, the total interest earned after 18 years is:
\[
\boxed{6525}
\]
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