Dobytheshark2327 Dobytheshark2327
  • 22-05-2019
  • Mathematics
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A laptop computer is purchased for $2250 . After each year, the resale value decreases by 35% . What will the resale value be after 3 years?

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jdoe0001 jdoe0001
  • 22-05-2019

[tex]\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &2250\\ r=rate\to 35\%\to \frac{35}{100}\dotfill &0.35\\ t=\textit{elapsed time}\dotfill &3\\ \end{cases} \\\\\\ A=2250(1-0.35)^3\implies A=2250(0.65)^3\implies A\approx 617.91[/tex]

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