2. A conservation organization releases 100 animals of an endangered species into a game preserve. The organization believes that the preserve has a carrying capacity of 1000 animals and that the growth of the pack will be modeled by the logistic curve: 1000 P(t)=- I+9e016561 where t is measured in months. (a) Estimate the population after 5 months. (b) After how many months will the population be 500?

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