SOLUTION: A colony of bacteria grows at an exponential rate according to the function, P(t)=800e^{0.03t} , which describes the number of bacteria P at time t (in hours). A) Find the

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: A colony of bacteria grows at an exponential rate according to the function, P(t)=800e^{0.03t} , which describes the number of bacteria P at time t (in hours). A) Find the       Log On


   



Question 981314: A colony of bacteria grows at an exponential rate according to the function,
P(t)=800e^{0.03t} , which describes the number of bacteria P at time t (in hours).
A) Find the population after 12 hours. (Round your answer to the nearest whole number.)
B) When will the population double? (Round your answer to the nearest whole number.)

Answer by Alan3354(69443) About Me  (Show Source):
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A colony of bacteria grows at an exponential rate according to the function,
P(t)=800e^{0.03t} , which describes the number of bacteria P at time t (in hours).
A) Find the population after 12 hours. (Round your answer to the nearest whole number.)
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P(t)=800e^{0.03t}
Sub 12 for t.
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B) When will the population double? (Round your answer to the nearest whole number.)
P(t)=800e^{0.03t}
===================================
800e^{0.03t} = 2*800e^{0.03t}
Solve for t.