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A certain population has 10,000 people. A disease is spreading through the population at a rate...

A certain population has 10,000 people. A disease is spreading through the population at a rate proportional to both the infected population and the unaffected population. If it is known that 1,000 were infected two months ago, and 4,000 were infected last month, how many should be infected this month? How many months from now will 90% of the population be infected?

AP Calculus BC, Chapter 8, Logistic Models

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