saracef2lowar saracef2lowar

21-11-2016
Mathematics

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A population of bacteria is growing according to the function below, where t is in hours. How many hours will it take for the population to grow to 1,000 bacteria? Round your answer to the nearest integer. Do not include units in your answer.

B(t) = 50 e2.5t ...?

Respuesta :

syed514 syed514

21-11-2016

B(t)=50×e^2.5t

e^2.5t = 20
t= ln(20) / 2.5
set B(t)=1000 and solve for t via 1000=50e2.5t
20=e2.5t
ln(20)=2.5t
t=ln(20) / 2.5

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