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olga nikolaevna [1]
3 years ago
6

Felipe Rivera's savings account has a balance of 2163 After 3 years what will the amount of interest be at 4%

Mathematics
1 answer:
Allisa [31]3 years ago
3 0

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad  \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2163\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &3 \end{cases} \\\\\\ A=2163\left(1+\frac{0.04}{4}\right)^{4\cdot 3}\implies A=2163(1.01)^{12}\implies A\approx 2437.322540175

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Answer:

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To simplify and solve this equation we must follow PEMDAS.

P=Parentheses

E=Exponents

M=Multiplication (from left to right)

D=Division (from left to right)

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We begin the process.

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New equation looks like this:

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Hope this helps!

P.S. I forgot this was scientific notation and I solved it a different way. But both ways give the same answer. Let me know if you want the other method.


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