Question
A family purchases a camping RV for $24,000. They borrow the money from a credit union at an 11% simple interest rate for 4 years. How much in interest will the family pay in total? Round to the nearest whole dollar.
Answers
GPT-4o mini
To calculate the total amount of interest paid on a loan using simple interest, you can use the formula:
\[
\text{Interest} = P \times r \times t
\]
where:
- \( P \) is the principal amount (the initial amount borrowed),
- \( r \) is the annual interest rate (in decimal form),
- \( t \) is the time the money is borrowed for (in years).
For this scenario:
- The principal \( P = 24,000 \) dollars,
- The interest rate \( r = 11\% = 0.11 \),
- The time \( t = 4 \) years.
Now, we can substitute these values into the formula:
\[
\text{Interest} = 24000 \times 0.11 \times 4
\]
Calculating this step by step:
1. Calculate \( 0.11 \times 4 = 0.44 \).
2. Then multiply by \$24,000:
\[
\text{Interest} = 24000 \times 0.44 = 10560
\]
Therefore, the total interest the family will pay is \$10,560.
Rounding to the nearest whole dollar, the total interest is:
\[
\boxed{10560}
\]
\[
\text{Interest} = P \times r \times t
\]
where:
- \( P \) is the principal amount (the initial amount borrowed),
- \( r \) is the annual interest rate (in decimal form),
- \( t \) is the time the money is borrowed for (in years).
For this scenario:
- The principal \( P = 24,000 \) dollars,
- The interest rate \( r = 11\% = 0.11 \),
- The time \( t = 4 \) years.
Now, we can substitute these values into the formula:
\[
\text{Interest} = 24000 \times 0.11 \times 4
\]
Calculating this step by step:
1. Calculate \( 0.11 \times 4 = 0.44 \).
2. Then multiply by \$24,000:
\[
\text{Interest} = 24000 \times 0.44 = 10560
\]
Therefore, the total interest the family will pay is \$10,560.
Rounding to the nearest whole dollar, the total interest is:
\[
\boxed{10560}
\]