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The population of a colony of rabbits grows exponentially. The colony begins with 18 rabbits; five years later there are 500 rabbits. (a) Give



The population of a colony of rabbits grows exponentially. The colony begins with 18 rabbits; five years later there are 500 rabbits. (a) Give a formula for the population of the colony of rabbits as a function of time in years. (b) Estimate how long it takes for the population of the colony to reach 1000 rabbits. NOTE: Round your answer to two decimal places.

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