Mathematics: An investment declines in value by 3% each month. by what percentage does its value decline in a year ?

An investment declines in value by 3% each month.

Ответ:

savannahwonder

14.03.2022

$\bf \qquad \qquad \textit{Annual Yield Formula}
\\\\
~~~~~~~~~~~~\left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly, thus twelve}
\end{array}\to &12
\end{cases}
\\\\\\
\left(1+\frac{0.03}{12}\right)^{12}-1\implies 1.0025^{12}-1~~\approx ~~ 0.03041596
\\\\\\
r\%=0.03041596\cdot 100\implies r\approx\stackrel{\%}{3.04}$

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Ответ:

markfaerman5408

30.09.2020

Mathematics

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An investment declines in value by 3% each month. by what percentage does its value decline in a year ?

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