The initial bacterium count in a culture is 1200. A biologist later makes a sample...

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The initial bacterium count in a culture is 1200. A biologist later makes a sample count of bacteria inthe culture and finds that the relative rate of growth is 15% per hour.a. Find a function that models the number of bacteria after t hours. [ n(t)=n_e"]b. What is the estimated count after 12 hours?c. After how many hours will the bacteria count reach 500,000?

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