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The Number of Bacteria in a Culture Is Increasing According

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The number of bacteria in a culture is increasing according to the law of exponential growth.After 5 hours there are 130 bacteria in the culture and after 10 hours there are 330 bacteria in the culture.Answer the following questions,rounding numerical answers to four decimal places. ​
(I) Find the initial population.

(II) Write an exponential growth model for the bacteria population.Let t represent time in hours.

(III) Use the model to determine the number of bacteria after 20 hours.

(IV) After how many hours will the bacteria count be 10,000?


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