100 BRAINLY POINTS f(x)=18,000(1-0.012)^x ; x represents the number of years since the car started to depreciate and 18,000 = the init

Question

100 BRAINLY POINTS
f(x)=18,000(1-0.012)^x ; x represents the number of years since the car started to depreciate and 18,000 = the initial value of the car. What year will you recieve the car when the car value drops below $2,000? Please do a step by step

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Hồng Cúc 5 months 2021-08-23T11:17:51+00:00 1 Answers 2 views 0

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    2021-08-23T11:19:45+00:00

    Answer:

    Given

    f(x)=18,000(.88)^x

    We need to find the value of x when f(x) <2000

    2000 = 18000(0.88)^x

    0.88^x 2000/18000

    0.88^x 1/9

    • x = log (1/9) / log (0.88)

    • x= 17 (rounded down)

    After 17 years or during year 18 the car value will drop below $2000

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