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A car depreciates at a rate of 13% each year for the first 5 years after it is driven off of the lot. A recent high school graduate is looking to buy a car that is worth $23150.

 

 

Using logarithms, algebraically determine the number of years it will take the car to worth less than $15000.

 

 

Thank you for helping:) 

 Jun 1, 2021
 #1
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value = 23150 * ( 1 - .013)n

15000 = 23150(.87)n

15000/23150   = .87n

 

log ( 15000/23150) = n log (.87)        I think you can take it from here, no ?  cheeky

 Jun 1, 2021

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