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Find the future value of the loan. Round your answer to the nearest cent. \[ P=\$ 300, r=4 \%, t=10 \text { years } \] The future value of the loan is \( \$ \square \)

Ask by Owen Stephens. in the United States
Feb 22,2025

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The future value of the loan is \$444.07.

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To find the future value of the loan, we can use the formula for compound interest: \[ FV = P(1 + r)^t \] Here, \( P = 300 \), \( r = 0.04 \) (4% expressed as a decimal), and \( t = 10 \). Substituting the values into the formula: \[ FV = 300(1 + 0.04)^{10} \] \[ FV = 300(1.04)^{10} \] \[ FV \approx 300(1.48024) \] \[ FV \approx 444.07 \] Thus, the future value of the loan is approximately \( \$ 444.07 \).

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