The percentage P of doctors who prescribe a certain new medicine is P(t) = 100 (1 - e -0.231), where t is the time, in m

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The Percentage P Of Doctors Who Prescribe A Certain New Medicine Is P T 100 1 E 0 231 Where T Is The Time In M 1 (221.22 KiB) Viewed 35 times

The percentage P of doctors who prescribe a certain new medicine is P(t) = 100 (1 - e -0.231), where t is the time, in months. Complete parts a) through d). e P(1) - 1% (Do not round until the final answer. Then round to the nearest percent as needed.) P(6)=% (Do not round until the final answer. Then round to the nearest percent as needed) b) Find P (t). P(t)= 0 c) How many months will it take for 90% of doctors to prescribe the new medicine? After about months, 90% of doctors will prescribe the new medicine (Do not round until the final answer. Then round to one decimal place as needed.) d) Find lim P(t), and discuss its meaning lim P(t)=% 00 Discuss the meaning of the limit lim P(t). Choose the correct answer below. 100 A. Eventually, no, or almost no doctors will prescribe the medication B. The percentage of doctors prescribing the new medication will peak after approximately 4.3 years and then decline C. Eventually, all, or nearly all doctors will prescribe the medication. D. The percentage of doctors prescribing the new medication will approach but not exceed approximately 62% ОО