Question
Understanding Interest Quick Check
1 of 51 of 5 Items
Question
Calculate the final loan amount of a $22,500 auto loan with a 3.2% simple interest rate over a 5-year term.(1 point)
Responses
$72,000
$72,000
$26,100
$26,100
$58,500
$58,500
$3,600
Answers
GPT-4o mini
To calculate the final loan amount of the auto loan, you can use the formula for simple interest:
\[
\text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time}
\]
Where:
- Principal = $22,500
- Rate = 3.2% = 0.032
- Time = 5 years
Now, plug in the values:
\[
\text{Interest} = 22,500 \times 0.032 \times 5
\]
\[
\text{Interest} = 22,500 \times 0.16
\]
\[
\text{Interest} = 3,600
\]
Now, add the interest to the principal to find the final loan amount:
\[
\text{Final Loan Amount} = \text{Principal} + \text{Interest}
\]
\[
\text{Final Loan Amount} = 22,500 + 3,600
\]
\[
\text{Final Loan Amount} = 26,100
\]
Therefore, the final loan amount is **$26,100**.
\[
\text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time}
\]
Where:
- Principal = $22,500
- Rate = 3.2% = 0.032
- Time = 5 years
Now, plug in the values:
\[
\text{Interest} = 22,500 \times 0.032 \times 5
\]
\[
\text{Interest} = 22,500 \times 0.16
\]
\[
\text{Interest} = 3,600
\]
Now, add the interest to the principal to find the final loan amount:
\[
\text{Final Loan Amount} = \text{Principal} + \text{Interest}
\]
\[
\text{Final Loan Amount} = 22,500 + 3,600
\]
\[
\text{Final Loan Amount} = 26,100
\]
Therefore, the final loan amount is **$26,100**.