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Solve the Problem P(t)=11+6.69e0.753t\mathrm { P } ( \mathrm { t } ) = \frac { 1 } { 1 + 6.69 \mathrm { e } ^ { - 0.753 \mathrm { t } } }

Question 495

Multiple Choice

Solve the problem.
-The logistic growth model P(t) =11+6.69e0.753t\mathrm { P } ( \mathrm { t } ) = \frac { 1 } { 1 + 6.69 \mathrm { e } ^ { - 0.753 \mathrm { t } } } represents the proportion of the total market of a new product as it penetrates the market t years after introduction. When will the product have 65% of the market?


A) 2.95 years
B) 3.35 years
C) 4.35 years
D) 1.95 years

Correct Answer:

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