Statistics Solutions

[See Steps] DEPRECIATION The resale value of a certain Industrial machine decreases at a rate that depends on its age, When the machine is r years old,

Question: DEPRECIATION The resale value of a certain Industrial machine decreases at a rate that depends on its age, When the machine is r years old, the rate at which its value is changing is \(-960 \mathrm{e}^{-t/5}\) dollars pet year

  1. Express the value of the machine in terms of its age and initial value
  2. If the machine was originally worth $5,200, how much will it be worth when it is 10 years old?

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