Questions: Burt takes out a loan for 15,000 from his local bank with a simple fixed interest rate of 7.5%. How much interest will he have paid after 8 years?
Select one:
a. 7100
b. 12,000
c. 24,000
d. 9,000
Transcript text: Burt takes out a loan for $\$ 15,000$ from his local bank with a simple fixed interest rate of $7.5 \%$. How much interest will he have paid after 8 years?
Select one:
a. $\$ 7100$
b. $\$ 12,000$
c. $\$ 24,000$
d. $\$ 9,000$
Solution
Solution Steps
Step 1: Identify the Formula for Simple Interest
The formula for calculating simple interest is given by:
\[
I = P \times r \times t
\]
where:
\( I \) is the interest,
\( P \) is the principal amount,
\( r \) is the rate of interest per year (as a decimal),
\( t \) is the time in years.
Step 2: Substitute the Given Values
Given:
Principal amount, \( P = 15,000 \) dollars,
Rate of interest, \( r = 7.5\% = 0.075 \),
Time, \( t = 8 \) years.
Substitute these values into the formula:
\[
I = 15,000 \times 0.075 \times 8
\]
Step 3: Calculate the Interest
Perform the multiplication:
\[
I = 15,000 \times 0.075 \times 8 = 9,000
\]
Final Answer
The interest Burt will have paid after 8 years is \(\boxed{\$ 9,000}\).