SOLUTION: A laptop is purchased for $4800. Each year its value is 75% of its value the year before. After how many years will the laptop be worth $500 or less? Write the number as a whole nu
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Question 393918: A laptop is purchased for $4800. Each year its value is 75% of its value the year before. After how many years will the laptop be worth $500 or less? Write the number as a whole number.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
^t\ \leq\ 500)
^t\ \leq\ \frac{5}{48})
^t\ \leq\ \ln(5)\ -\ \ln(48))
\ \leq\ \ln(5)\ -\ \ln(48))
\ -\ \ln(48)}{\ln(0.75)})
Note change of inequality sense because \ <\ 0)
Calculate the RHS and round up to the next higher integer.
John
My calculator said it, I believe it, that settles it
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