Mathematics, 19.10.2019 19:30, conner87
At the beginning of each year for 14 years, sherry kardell invested $400 that earns 10% annually. what is the future value of sherry's account in 14 years?
Answers: 3
![\bf \qquad \qquad \textit{Future Value of an ordinary annuity} \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right] \\\\\\](/tpl/images/0335/1413/16477.png)
![\bf \begin{cases} A= \begin{array}{llll} \textit{original amount}\\ \textit{already compounded} \end{array} & \begin{array}{llll} \end{array}\\ pymnt=\textit{periodic payments}\to &400\\ r=rate\to 10\%\to \frac{10}{100}\to &0.1\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, so once} \end{array}\to &1\\ t=years\to &14 \end{cases} \\\\\\ A=400\left[ \cfrac{\left( 1+\frac{0.1}{1} \right)^{1\cdot 14}-1}{\frac{0.1}{1}} \right] ](/tpl/images/0335/1413/f06f5.png)
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At the beginning of each year for 14 years, sherry kardell invested $400 that earns 10% annually. wh...
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