
Arturo O. answered 06/14/17
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P(t) = population as function of time
P(t) = P(0)(3t/30)
t = time in minutes
P(0) = initial population = 30
Solve for t in
20,000 = 30(3t/30)
3t/30 ≅ 666.67
(t/30) ln3 = ln(666.67)
t = 30 ln(666.67) / ln3 ≅ 177.56 minutes