Mathematics: John decides to invest $2,000 per year and an account that he opened and expects to earn 8.25%. if he keeps this up for 35 years, how much would he end up with in his account?

John decides to invest $2,000 per year and an account

Ответ:

bellabrill

14.03.2022

$\bf \qquad \qquad \textit{Future Value of an annuity due}\\
\left. \qquad \right.(\textit{payments at the beginning of the period})
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)
\\\\
\qquad 
$

$\bf \begin{cases}
A=
\begin{array}{llll}
\textit{accumulated amount}\\
\end{array}\\
pymnt=\textit{periodic payments}\to &2000\\
r=rate\to 8.25\%\to \frac{8.25}{100}\to &0.0825\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &35
\end{cases}$

$\bf A=2000\left[ \cfrac{\left( 1+\frac{0.0825}{1} \right)^{1\cdot 35}-1}{\frac{0.0825}{1}} \right]\left(1+\frac{0.0825}{1}\right)
\\\\\\
A=2000\left( \cfrac{1.0825^{35}-1}{0.0825} \right)(1.0825)$

which is very close to 400000.

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Ответ:

drippyc1363

06.06.2020

Mathematics

Equilateral, isosceles, and scalene are the type of triangles that can be formed by taking the cross section of a cube.

Hope this helps!!

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John decides to invest $2,000 per year and an account that he opened and expects to earn 8.25%. if he keeps this up for 35 years, how much would he end up with in his account?

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