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Kelsey earned some Money doing odd jobs last summer and put it in a savings account that earns 5% interest compounded quarterly after 7 years there is 400.00 in the account how much did Kelsey earn doing odd jobs

User Priyanga
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1 Answer

3 votes

The final amount is


\begin{gathered} A=P(1+(R)/(n*100))^(nT) \\ Here,\text{ A is the final amount, P is the principal or the money earned by Kelsey, T is time in years, n is the number of tnes the comound interest is taken.} \end{gathered}

Here,A=400, R=5%, N=4,T=7. We have to find the principal.Substituting the values,


\begin{gathered} 400=P(1+(5)/(4*100))^(4*7) \\ \text{ 400=P(1+}(5)/(400))^(28) \\ \text{ P=}\frac{400}{\text{(1+}(5)/(400))^(28)} \\ \text{ =282.48} \end{gathered}

Therefore, the money earned by Kelsey doing odd jobs​ is 282.48.

User Peo Bondesson
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