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PtichkaEL [24]
2 years ago
12

Dan was getting rs. 100 for 5 years at an interest rate of 5%. Find the accumulated value of annuity at the end of 5 years

Mathematics
1 answer:
Citrus2011 [14]2 years ago
5 0

The future value of the annuity after the end of 5 years is $552.56.

Given that, r =5%= 0.05, 5 years  = 5 yearly payments, so n = 5, and P = $100.

<h3>What is the annuity formula?</h3>

The formula to find the annuity formula FV=\frac{P \times ((1+r)^{n}-1 )}{r}.

Now, FV=\frac{100 \times ((1+0.05)^{5}-1 )}{0.05}

⇒FV = 100 × 55.256

⇒FV = $552.56

Therefore, the future value of the annuity after the end of 5 years is $552.56.

To learn more about the annuity formula visit:

brainly.com/question/11691655.

#SPJ1

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\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3700\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\dotfill &7 \end{cases} \\\\\\ A=3700e^{0.045\cdot 7}\implies A=3700e^{0.315}\implies A\approx 5069.96

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