Ononot — A population model follows \frac{dP}{dt} = rP(1 - \frac{P}{K

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Real-World Applicationshard

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A population model follows $\frac{dP}{dt} = rP(1 - \frac{P}{K})$ where $r=0.2$ and $K=1000$ . If $P(0) = 100$ , what is the expression for $P(t)$ ?