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It is estimated that t months from now the population of a certain town will be increasing at a rate of 150t/ cubed root of

It is estimated that t months from now the population of a certain town will be increasing at a rate of

150t/ cubed root of (7t+8) people per month.1

If the current population is 10000, what will be the population 8 months from now? (Round to the nearest person).

Please explain each step

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