100 BRAINLY POINTS f(x)=18,000(.88)^x ; x represents the number of years since the car started to depreciate and 18,000 = the initial

Question

100 BRAINLY POINTS
f(x)=18,000(.88)^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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Xavia 6 months 2021-08-23T10:56:31+00:00 1 Answers 2 views 0

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  1. thongdat2
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    2021-08-23T10:57:39+00:00
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    Answer:

    • After 17 years and 3 months

    Step-by-step explanation:

    Given function:

    • f(x)=18000(0.88)^x

    We are looking for the value of x at f(x) < 2000

    Solve the equation:

    • 2000 = 18000(0.88)^x
    • (0.88)^x = 2000/18000
    • (0.88)^x = 0.1111
    • log (0.88)^x = log 0.1111
    • x = log 0.1111 / log 0.88
    • x = 17.18

    After 17 years and 3 months the car value drops below $2,000

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