(a) Assume that the carrying capacity for the US population is 800 million. Use it and the fact that the 282 million in 2000 to formulate a logistic model for the US population. (Let t = 0 correspond to the your constant.) 112800 P(t) = -kt millions 141 + 259e (b) Determine the value ofk in your model by using the fact that the population in 2010 was 309 milli k = 0.014496

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