After beginning antiseptic treatment, the number of bacteria in a population decreases at a rate of 60% per day, that is, dN/dt =-0.60N, where N is the number of bacteria and t is the time, in days.
(a) When t = 0 , there are 250,000 bacteria present. Find a function that satisfies this equation.
(b) How many bacteria will remain after 5 days?
(c) After how long do half of the original bacteria remain?
(a)
(b) 12,447
(c) 1.16
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