We answer the first part of the problem here.

P = 50000, so our differential equation becomes:

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Solving using Scientific Notebook gives us the number of people affected at time t:

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[We'll see how to solve this kind of problem in the Separation of Variables section.]

Now, we are told that at t = 10, A = 1000.

So now we can substitute and solve for c:

c = 4. 6416 × 10-6

So substituting this value of c into the expression for A(t) gives us:

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