Determine the simple interest earned on \( \$ 10,000 \) after 20 years if the APR is \( 14 \% \).

To calculate the **simple interest** earned on an investment, you can use the following formula: \[ \text{Simple Interest (I)} = P \times r \times t \] Where: - \( P \) = Principal amount (initial investment) - \( r \) = Annual Percentage Rate (APR) in decimal form - \( t \) = Time the money is invested for, in years **Given:** - \( P = \$10,000 \) - \( \text{APR} = 14\% = 0.14 \) (in decimal) - \( t = 20 \) years **Plugging the values into the formula:** \[ I = \$10,000 \times 0.14 \times 20 \] \[ I = \$10,000 \times 2.8 \] \[ I = \$28,000 \] **So, the simple interest earned after 20 years is \$28,000.** **Total Amount After 20 Years:** If you also want to know the **total amount** accumulated after 20 years (principal + interest), you can add the simple interest to the principal: \[ \text{Total Amount} = P + I = \$10,000 + \$28,000 = \$38,000 \] **Summary:** - **Simple Interest Earned:** \$28,000 - **Total Amount After 20 Years:** \$38,000