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The Population P of a Culture of Bacteria Is Described P=1600e0.052tP = 1600 e ^ { 0.052 t }

Question 43

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The population P of a culture of bacteria is described by the equation P=1600e0.052tP = 1600 e ^ { 0.052 t } ,where t is the time,in hours,relative to the time at which the population was 1600.
(a)What was the population at t=3t = 3 hours? Show your work.
(b)After how many hours will the population reach 10000.00? Round to the nearest tenth of an hour.Show your work.

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