Pharmaceutical firms invest significant money in testing any new medication. After the drug is approved for​ use, it still takes time for physicians to fully accept and start prescribing the medication. The acceptance by physicians approaches a limiting value of​ 100%, or​ 1, after time​ t, in months. Suppose that the percentage P of physicians prescribing a new cancer medication is approximated by the equation below. Complete parts​ (a) through​ (c).   P(t)=100(1−e^−0.44t)     ​a) What percentage of doctors are prescribing the medication after 9 ​months?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter1: Equations And Graphs
Section1.2: Graphs Of Equations In Two Variables; Circles
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Pharmaceutical firms invest significant money in testing any new medication. After the drug is approved for​ use, it still takes time for physicians to fully accept and start prescribing the medication. The acceptance by physicians approaches a limiting value of​ 100%, or​ 1, after time​ t, in months. Suppose that the percentage P of physicians prescribing a new cancer medication is approximated by the equation below. Complete parts​ (a) through​ (c).
 
P(t)=100(1−e^−0.44t)
 
 
​a) What percentage of doctors are prescribing the medication after
9
​months?
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