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At time t hours after taking the cough suppressant hydrocodone bitartrate, the amount A, in mg, remaining in the body is given by A=13(0.82)^t.

a) What was the initial amount taken?
b) What percent of the drug leaves the body each hour?
c) How much of the drug is left in the body 6 hrs after the does is administered?
Round to two decimal places.
d) How long is it until only 1 mg of the drug remains in the body?
Round to two decimal places.

  • Pre-Calculus -

    a) 13 mg
    b) 18%
    c) 13(.82)^6 = 3.95 g
    d) 1 = 13(.82)^t so t=12.92 hrs

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