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A culture of bacteria is growing at the rate of 20e^0.8t cells per day, where...

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A culture of bacteria is growing at the rate of 20e^0.8t cells per day, where t is the number of days since the culture was started. Suppose that the culture began with 50 cells.(a) Find a formula for the total number of cells in the culture after t days.T(t) =(b) If the culture is to be stopped when the population reaches 500, when will this occur? (Round your answer to one decimal place.)days

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