# PreCalculus

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2000(1 – 0.75) = 2000 (.25)
= 500 survivors after the dose of prescription a is taken

Then,
500(1.40)3 = 1374 bacteria after the 3 hours period at the instant before the second dose is taken.

1.) For antibiotic A, determine the bacterial population after nine hours (before the fourth dose is taken)

2.) Another antibiotic, Antibiotic B, is taken every 6 hours and has an effectiveness of 90%. Use a process similar to (1) to find the equation N(t). Then use N(t) to determine the bacterial population after 3 days (72 hours) in a patient who has an initial bacterial population of 2000 and who is being treated with Antibiotic B.

3.) A third antibiotic, antibiotic C, has an effectiveness of 99.5%. Explain why antibiotic C cannot cure a person if it is administered every 24 hours

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