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math

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a new car depreciated by 20% in its first year. each succeeding year it depreciated by 10% assume the car is still in good working condition after 10 years. if the car costs $25,000 calculate the value of the car after 10 years. express your answer to the nearest $10.

please help and show me your steps in working out this equation

  • math - ,

    After the first year the value is
    25000(.8) = 20000

    so after the next 9 years depreciating at 10% would leave
    20000(.9)^9
    7748.41 or 7750

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