Carlos invests \( \$ 6,000 \) at \( 4 \% \) simple interest for 35 years. How much is in the account at the end of the 35 year period? Round your answer to the nearest cent. Answer: \( \$ \) Enter an integer or decimal number [more.]
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To find the total amount in the account at the end of the investment period using simple interest, you can use the formula: \[ A = P + I \] where \( A \) is the total amount, \( P \) is the principal amount, and \( I \) is the interest earned. First, calculate the interest: \[ I = P \times r \times t \] \[ I = 6000 \times 0.04 \times 35 = 8400 \] Now, plug the interest back into the total amount formula: \[ A = 6000 + 8400 = 14400 \] Thus, the total amount in the account at the end of 35 years is \( \$14,400.00 \).