Question
Find the simple interest earned after 2 years on $8,950 at an interest rate of 3.24%.
$46.27
$579.96
$89.50
$73.33
$46.27
$579.96
$89.50
$73.33
Answers
GPT-4o mini
To calculate simple interest, you can use the formula:
\[
\text{Simple Interest} = P \times r \times t
\]
Where:
- \( P \) is the principal amount (the initial amount of money),
- \( r \) is the interest rate (as a decimal),
- \( t \) is the time in years.
Given:
- \( P = 8,950 \) dollars
- \( r = 3.24\% = \frac{3.24}{100} = 0.0324 \)
- \( t = 2 \) years
Now we can plug in the values:
\[
\text{Simple Interest} = 8950 \times 0.0324 \times 2
\]
First, calculate \( 8950 \times 0.0324 \):
\[
8950 \times 0.0324 = 289.68
\]
Now multiply that by 2:
\[
\text{Simple Interest} = 289.68 \times 2 = 579.36
\]
So, the simple interest earned after 2 years is approximately $579.36.
However, checking the provided options, it appears the closest (but not exact) is:
\[
\text{Simple Interest} \approx \$579.96
\]
So the answer is:
**$579.96**
\[
\text{Simple Interest} = P \times r \times t
\]
Where:
- \( P \) is the principal amount (the initial amount of money),
- \( r \) is the interest rate (as a decimal),
- \( t \) is the time in years.
Given:
- \( P = 8,950 \) dollars
- \( r = 3.24\% = \frac{3.24}{100} = 0.0324 \)
- \( t = 2 \) years
Now we can plug in the values:
\[
\text{Simple Interest} = 8950 \times 0.0324 \times 2
\]
First, calculate \( 8950 \times 0.0324 \):
\[
8950 \times 0.0324 = 289.68
\]
Now multiply that by 2:
\[
\text{Simple Interest} = 289.68 \times 2 = 579.36
\]
So, the simple interest earned after 2 years is approximately $579.36.
However, checking the provided options, it appears the closest (but not exact) is:
\[
\text{Simple Interest} \approx \$579.96
\]
So the answer is:
**$579.96**