# Pre Calculus

The population P of a culture of bacteria is described by the equation P = 1600e^0.052t

where t is time, in hours, relative to the time at which the population was 1600.
(a) What was the population at t = 6 hours? Show your work.
(b) After how many hours will the population reach 8000? Round to the nearest tenth of an hour.

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