After beginning antiseptic treatment, the number of bacteria in a population decreases at a rate of 40% per day, that is, dN/dt=-0.40N, After beginning antiseptic treatment, the number of bacteria in a population decreases at a rate of 40% per day, that is,
a) When t = 0 , there are 5,000,000 bacteria present. Find a function that satisfies this equation.
(b) How many bacteria will remain after 3 days?
(c) After how long do half of the original bacteria remain?
(a) N (t) =
(b) 1,505,971
(c) 1.73 days
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