The percentage of men age 65 years and older in the workforce from 1950 (t = 0) through 2000 (t = 50) is approximately P(t) = 0.0135t2 − 1.093t + 41.3      (0 ≤ t ≤ 50). Show that the percentage of men age 65 years and older in the workforce in the period of time under consideration was smallest around June 1990.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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The percentage of men age 65 years and older in the workforce from 1950 (t = 0) through 2000 (t = 50) is approximately
P(t) = 0.0135t2 − 1.093t + 41.3      (0 ≤ t ≤ 50).
Show that the percentage of men age 65 years and older in the workforce in the period of time under consideration was smallest around June 1990.
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