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In: Advanced Math

Suppose that a bacterial count satisfies the logistic hypothesis. The initial count is 450 organisms /...

Suppose that a bacterial count satisfies the logistic hypothesis. The initial count is 450 organisms / mL and the maximum sustainable count is 10,000 organisms / mL. The count is found to increase 18% in the first 12 hours. Establish and solve an Initial Value Problem to express the count as a function of time, graph this function and calculate how long the count reaches 8,000 organisms / mL.

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