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 The logistic function P(t)=151+5e4t models the growth of a population. \text { The logistic function } P ( t ) = \frac { 15 } { 1 + 5 e ^ { - 4 t } } \text { models the growth of a population. }

question 17

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 The logistic function P(t) =151+5e4t models the growth of a population. \text { The logistic function } P ( t ) = \frac { 15 } { 1 + 5 e ^ { - 4 t } } \text { models the growth of a population. } Determine when the population reaches of the maximum carrying capacity. Round your answer to three decimal places.


Definitions:

Standard Deviation

A metric quantifying the extent of difference or scatter among a group of figures.

Blackjack

A casino card game where players aim to get a card total as close to 21 as possible without exceeding it.

Discrete

Referring to data that can take on only integer values and which are countable.

Continuous

A type of variable or data that can take an infinite number of values within a given range or interval.

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