8. Reece made a deposit into an account that earns 8% simple interest. After 8 years, Reece had earned $400. How much was Reece's initial deposit?

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SuleymaQ750075 SuleymaQ750075

03-11-2022
Mathematics

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8. Reece made a deposit into an account that earns 8% simple interest. After 8 years, Reece had earned $400. How much was Reece's initial deposit?

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AyaatW735457 AyaatW735457 · Answer 1 · 2022-11-03T19:16:28+01:00

AyaatW735457 AyaatW735457

03-11-2022

[tex]\begin{gathered} P\cdot r\cdot t=I \\ r=0.08 \\ t=8 \\ I=400 \\ \text{from the first equation one has} \\ P=\frac{I}{r\cdot t} \\ \text{hence} \\ P=\frac{400}{0.08\cdot8} \\ P=\frac{400}{0.64} \\ P=625 \end{gathered}[/tex]

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