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Principat: 
$8400 Rate: 
7.25% Years: 
9(1)/(2)

A=P(1+((APR)/(n)))^(n)

$8291.66

$2506.16

$16,691.66

$2516.61
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Principat: $8400 \$ 8400 Rate: 7.25% 7.25 \% Years: 912 9 \frac{1}{2} \newlineA=P(1+(APRn))n A=P\left(1+\left(\frac{A P R}{n}\right)\right)^{n} \newline$8291.66 \$ 8291.66 \newline$2506.16 \$ 2506.16 \newline$16,691.66 \$ 16,691.66 \newline$2516.61 \$ 2516.61 \newline44 Moving to another question will save this response.

Full solution

Q. Principat: $8400 \$ 8400 Rate: 7.25% 7.25 \% Years: 912 9 \frac{1}{2} \newlineA=P(1+(APRn))n A=P\left(1+\left(\frac{A P R}{n}\right)\right)^{n} \newline$8291.66 \$ 8291.66 \newline$2506.16 \$ 2506.16 \newline$16,691.66 \$ 16,691.66 \newline$2516.61 \$ 2516.61 \newline44 Moving to another question will save this response.
  1. Identify Formula: Identify the formula for compound interest.\newlineA=P(1+(rn))(nt)A = P(1 + (\frac{r}{n}))^{(nt)}\newlineWhere AA is the amount of money accumulated after nn years, including interest.\newlinePP is the principal amount (the initial amount of money).\newlinerr is the annual interest rate (decimal).\newlinenn is the number of times that interest is compounded per year.\newlinett is the time the money is invested for in years.
  2. Convert Interest Rate: Convert the annual interest rate from a percentage to a decimal.\newline7.25%=0.07257.25\% = 0.0725
  3. Determine Compounding Frequency: Since the interest is compounded annually, nn is 11.\newlinen=1n = 1
  4. Calculate Final Amount: Plug the values into the formula to calculate the final amount.\newlineA=8400(1+(0.0725/1))(19.5)A = 8400(1 + (0.0725/1))^{(1*9.5)}\newlineA=8400(1+0.0725)9.5A = 8400(1 + 0.0725)^{9.5}\newlineA=8400(1.0725)9.5A = 8400(1.0725)^{9.5}
  5. Calculate Amount: Calculate the amount.\newlineA=8400×(1.0725)9.5A = 8400 \times (1.0725)^{9.5}\newlineA8400×2.009567A \approx 8400 \times 2.009567\newlineA16880.3626A \approx 16880.3626

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