A bacteria culture is experiencing a growth pattern of 12% per hour in its population P; that is where P is the population of the culture and t is the time, in hours, from noon.

(a) Given that the town’s population at noon was 40000, find the solution of the equation assuming P0 = 40000 and k = 0.12.
(b) What will the population be at 6 pm?
(c) What is the doubling time of the population?


(a)

(b) 82,177

(c) 5.8 hr

Mathematics

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Mathematics