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(1 point) A given bacteria culture initially contains 3000 bacteria and doubles every half hour. The number of bacteria p at a given time : (in minutes) is given by the formula p(t) = 3000e for some constant k. (You will need to find the value of k to answer the following. Keep at least 6 decimal places for your k value when you do your calculations.) (a) Find the size of the bacterial population after 20 minutes. (b) Find the size of the bacterial population after 5 hours. Remark: Pay attention to the unit of time you choose to use