The percentage of men age 65 years and older in the workforce from 1950 (t = 0) through 2000 (t = 50) is approximately P(t) = 0.0155t²-1.111t+ 41.1 (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 November 1985. , which implies that t = is a critical number of P. (Round the value of t to one decimal place.) P'(t) = P"(t) = , which implies that P" at this critical number is ---Select--- 0, so the critical number gives a ---Select--- value of P. This occurs around November 1985. What is that percentage? (Round your answer to two decimal places.) %

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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) = 0.0155t²-1.111t+ 41.1 (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 November 1985.
, which implies that t =
is a critical number of P. (Round the value of t to one decimal place.)
P'(t) =
P"(t) =
, which implies that P" at this critical number is --Select--- 0, so the critical number gives a ---Select--- value of P. This occurs around November 1985.
What is that percentage? (Round your answer to two decimal places.)
%
Transcribed Image Text:The percentage of men age 65 years and older in the workforce from 1950 (t = 0) through 2000 (t =50) is approximately P(t) = 0.0155t²-1.111t+ 41.1 (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 November 1985. , which implies that t = is a critical number of P. (Round the value of t to one decimal place.) P'(t) = P"(t) = , which implies that P" at this critical number is --Select--- 0, so the critical number gives a ---Select--- value of P. This occurs around November 1985. What is that percentage? (Round your answer to two decimal places.) %
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