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[answered] 10 The number of bacteria in a culture is given by the func


13.10?The number of bacteria in a culture is given by the function n(t)=975e0.4t where t is measured in hours.

This function is the same as the one that is used for continuously compounded interest: A=Pert, except that instead of money growing, bacteria are growing. In this formula, P is the initial amount, A is the final amount, r is the rate of growth (as a decimal), and t is the time.

(a) What is the rate of growth of this bacterium population??
Your answer is _____ percent.

(b) What is the initial population of the culture??
Your answer is _____

(c) How many bacteria will the culture contain at time t=5??
Your answer is (round off to the nearest integer) _____

 


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