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The resale value of a certain industrial machine decreases at a rate that depends on its age. When the machine is t years old, the rate at which its value is changing is -960e^ -t/5 dollars per year.
a)Express the value of the machine in terms of its age and initial value.
b) If the machine was originally worth $5,200 how much will it be worth when it is 10 years old?
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