The Population P of a Culture of Bacteria Is Described $P = 1600 e ^ { 0.052 t }$

Essay

The population P of a culture of bacteria is described by the equation $P = 1600 e ^ { 0.052 t }$ ,where t is the time,in hours,relative to the time at which the population was 1600.
(a)What was the population at $t = 3$ 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.