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)   What percentage of doctors are prescribing the medication after 10 months?

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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)
 
What percentage of doctors are prescribing the medication after 10 months?
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