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A stock analyst plots the price per share of a certain common stock as a function of time and finds that it can be approximated

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A stock analyst plots the price per share of a certain common stock as a function of time and finds that it can be approximated by the function S(t) = 36 + 6 e -, where t is the time (in years) since the stock was purchased. Find the average price of the stock over the first six years. The average price of the stock is $ . (Round to the nearest cent as needed.)

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