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a bacteria population is 4000 at time t=0 and its rate of growth is 1000(5^t) bacteria per hour after t hours. what is the population after one hour?

User Dorita
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To find the population after one hour, we can substitute t = 1 into the given growth rate equation and calculate the population at that time.

Given:

Initial population (t=0): 4000

Rate of growth: 1000(5^t) bacteria per hour

Substituting t = 1 into the growth rate equation:

Rate of growth at t=1: 1000(5^1) = 1000(5) = 5000 bacteria per hour

To find the population after one hour, we add the rate of growth to the initial population:

Population after one hour = Initial population + Rate of growth

Population after one hour = 4000 + 5000 = 9000 bacteria

Therefore, the population after one hour is 9000 bacteria.

User Riemannzz
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