After beginning antiseptic treatment, the number of bacteria in a population decreases at a rate of 10% per hour, that is, dN/dt = -0.10N, where N is the number of bacteria and t is the time, in hours.

a) When t = 0 , there are 80,000 bacteria present. Find a function that satisfies this equation.
(b) How many bacteria will remain after 24 hr?
(c) After how long do half of the original bacteria remain?


(a)

(b) 7257

(c) 6.93 hr

Mathematics

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