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A population of insects currently numbers 22,800 and is increasing at a rate of R(t) =...

A population of insects currently numbers 22,800 and is increasing at a rate of R(t) = 1225e^0.14t insects/week. If the survival function for the insects is S(t) = e^−0.2t, where t is measured in weeks, how many insects are there after 12 weeks?

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