Calculate the amount of money you'll have at the end of the indicated time period, assuming that you earn simple interest. You deposit \( \$ 3500 \) in an account with an annual interest of \( 5.7 \% \) for 10 years. The amount of money you'll have at the end of 10 years is \$ \( \square \) (Type an integer or a decimal.)
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Beyond the Answer
To calculate the total amount of money at the end of 10 years with simple interest, you can use the formula: \[ A = P + (P \times r \times t) \] Where: - \( A \) is the total amount of money after the interest. - \( P \) is the principal amount (initial deposit) – in this case, \( \$ 3500 \). - \( r \) is the annual interest rate (as a decimal) – \( 5.7\% = 0.057 \). - \( t \) is the time in years – \( 10 \) years. Calculating each part: 1. Calculate the interest earned: \[ Interest = P \times r \times t = 3500 \times 0.057 \times 10 = 1995 \] 2. Now add this interest to the principal: \[ A = 3500 + 1995 = 5495 \] So, the total amount of money you'll have at the end of 10 years is \( \$ 5495 \).
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