Respuesta :
[tex] \bf ~~~~~~~~~~~~\textit{Future Value of an ordinary annuity}\\
~~~~~~~~~~~~(\textit{payments at the end of the period})
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right] [/tex]
[tex] \bf \begin{cases}
A=
\begin{array}{llll}
\textit{accumulated amount}\\
\end{array}
\begin{array}{llll}
\end{array}\\
pymnt=\textit{periodic payments}\to &200\\
r=rate\to 3.2\%\to \frac{3.2}{100}\to &0.032\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly, thus twelve}
\end{array}\to &12\\
t=years\to &2
\end{cases} [/tex]
[tex] \bf A=200\left[ \cfrac{\left( 1+\frac{0.032}{12} \right)^{12\cdot 2}-1}{\frac{0.032}{12}} \right]
\\\\\\
A= 200\left( \cfrac{(1.002\overline{66})^{24}-1}{0.002\overline{66}} \right)\implies A\approx 4950.1193 [/tex]
