SOLUTION: the population P of a culture is described by the equation P=1600e^0.052t , where t is the time, in hours, relitive to the time at which the population was 1600 (A) what was the p

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: the population P of a culture is described by the equation P=1600e^0.052t , where t is the time, in hours, relitive to the time at which the population was 1600 (A) what was the p      Log On


   

Question 1159697: the population P of a culture is described by the equation P=1600e^0.052t , where t is the time, in hours, relitive to the time at which the population was 1600
(A) what was the population at t=6 hours?
(B) After how many hours will the population reach 8000?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
P=1600e%5E%280.052t%29 parenthesesincluded


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(B) After how many hours will the population reach 8000?
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1600e%5E%280.052t%29=8000
e%5E%280.052t%29=5
ln%28e%5E%280.052t%29%29=ln%285%29
0.052t=ln%285%29
t=ln%285%29%2F0.052
highlight%28t=31%29