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The rate of change of the population of a small town is dP/dt=kP, where P is the population, t is time in years and k is the growth rate.

If P=20000 when t=3 and P=30000 when t=5, what is the population when t=10? Round your answer to the nearest integer.

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Just to get you started,
dP/dt=kP
dP/P = k dt
ln P = kt + ln c
P = c*e^(kt)

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