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

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. $\$ 9,000$
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Solution

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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 \(\boxed{\$ 9,000}\).

The answer is d. \(\$ 9,000\).

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