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A laptop computer is purchased four 4400 dollars. Each year, it's value is 75% of it's value the year before. After how many years will the laptop computer be worth 900 dollars or less? Write the smallest possible whole number answer

A laptop computer is purchased four 4400 dollars Each year its value is 75 of its value the year before After how many years will the laptop computer be worth 9 class=

Respuesta :

We will determine the time it will take to be worth $900 or less as follows:

[tex]\begin{gathered} 900=4400(0.75)^x\Rightarrow\frac{9}{44}=(0.75)^x \\ \\ \Rightarrow ln(\frac{9}{44})=xln(0.75)\Rightarrow x=\frac{ln(9/44)}{ln(0.75)} \\ \\ \Rightarrow x=5.516384956...\Rightarrow x\approx6 \end{gathered}[/tex]

So, it will be approximately 6 years until the laptop is worth $900 or less.

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