The logistic growth model P(t)=3000/(1+30.38e−0.442t) represents the population​ (in grams) of a bacterium after t hours a) Determine the initial population size. b) What is the population after 6 hours? c) When will the population be 900 g? d) When will the population be 700 g? e) How long does it take for the population to reach​ one-half the carrying​ capacity?

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