Determine the simple interest earned on \( \$ 10,000 \) after 10 years if the APR is \( 9 \% \).

To calculate the simple interest earned, we can use the formula for simple interest: \[ I = P \times r \times t \] where: - \( I \) is the interest earned, - \( P \) is the principal amount (the initial amount of money), - \( r \) is the annual interest rate (as a decimal), - \( t \) is the time the money is invested or borrowed for, in years. Given: - \( P = 10,000 \) dollars, - \( r = 9\% = 0.09 \), - \( t = 10 \) years. Now, substituting the values into the formula: \[ I = 10,000 \times 0.09 \times 10 \] Calculating this step-by-step: 1. Calculate \( 0.09 \times 10 \): \[ 0.09 \times 10 = 0.9 \] 2. Now multiply by the principal: \[ I = 10,000 \times 0.9 = 9,000 \] Thus, the simple interest earned after 10 years is \[ \boxed{9000} \text{ dollars.} \]