Mathematics: After 5 years, rachel’s amount in her savings account is $7446.52. her account earned interest at 4.32% apr and was compounded daily. how much did she invest?

After 5 years, rachel’s amount in her savings

Ответ:

dontcareanyonemo

12.03.2022

$\bf \qquad \textit{Continuously Compounding Earned Amount}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &7446.52\\
P=\textit{original amount deposited}\\
r=rate\to 4.32\%\to \frac{4.32}{100}\to &0.0432\\
t=years\to &5
\end{cases}
\\\\\\
7446.52=Pe^{0.0432\cdot 5}\implies \cfrac{7446.52}{e^{0.0432\cdot 5}}=P\implies 5999.92404\approx P$

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Ответ:

jasmine2919

16.05.2023

Mathematics

Documentation and time management

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After 5 years, rachel’s amount in her savings account is $7446.52. her account earned interest at 4.32% apr and was compounded daily. how much did she invest?

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