A car’s purchase price is $24,000. At the end of each year, the value of the car is three-quarters o

Discussion in 'Calculator Requests' started by math_celebrity, Jan 6, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A car’s purchase price is $24,000. At the end of each year, the value of the car is three-quarters of the value at the beginning of the year. Write the first four terms of the sequence of the car’s value at the end of each year.

    three-quarters means 3/4 or 0.75. So we have the following function P(y) where y is the number of years since purchase price:
    P(y) = 24000 * 0.75^y

    First four terms:
    P(1) = 24000 * 0.75 = 18000
    P(2) = 18000 * 0.75 = 13500
    P(3) = 13500 * 0.75 = 10125
    P(4) = 10125 * 0.75 = 7593.75
     

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