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A given bacteria culture initially contains 1500 bacteria and doubles every half hour. The number of...

A given bacteria culture initially contains 1500 bacteria and doubles every half hour. The number of bacteria p at a given time t (in minutes) is given by the formula p(t)=1500e^(kt) for some constant k. (You will need to find k to answer the following.)

a) Find the size of the bacterial population after 110 minutes.

b) Find the size of the bacterial population after 8 hours.​

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