Consider the sociological study of Exercise 43. Out of a group of non-isolated doctors, let yn be

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Consider the sociological study of Exercise 43. Out of a group of non-isolated doctors, let yn be the percent who adopted the new drug after n months. Then yn satisfies the difference equation
yn = .0025yn-1(500 - yn-1), y0 = 3.
That is, initially 3% had adopted the drug.
(a) What percent had adopted the drug after 1 year?
(b) When had over half of the doctors adopted the drug?
(c) When had over 99% adopted the drug?
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Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

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