Experiments show that a colony of bacteria with sufficient food and no predators and with zero death rate, grows at a rate proportional to the size of the its population P at time t (in minutes). Hence the population P satisfies the initial value problem dP =kP, or some positive constant k (in /minute) dt where the initial population P(0) = P = 19922.7 0 bacteria (decimals allowed). If the population doubled after 20.68 minutes, when will the population triple? Answer: minutes. (Use two decimal places for the answer, no units needed)

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