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Suppose there is an initial population of 100 rabbits on Prosperity Island.Assuming that the rabbits have more than enough of everything they need to live prosperously, we might expect the population to grow exponentially.If so, find a formula for P(t), the number of rabbits on Prosperity Island at time t, given that after one year there are 140 rabbits on the island.(Assume t is in years.)Use this formula to determine how many years it will be before there are 400 rabbits on Prosperity Island.Round to 1 decimal place.
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