Sales (in thousands) of a certain product are declining at a rate proportional to the amount of
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Sales (in thousands) of a certain product are declining at a rate proportional to the amount of sales, with a decay constant of 15% per year.
(a) Write a differential equation to express the rate of sales decline.
(b) Find a general solution to the equation in part (a).
(c) How much time will pass before sales become 25% of their original value?
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