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A Hunting Club Stocks a Wildlife Preserve with 18 Elk p(t)=1801+9e0.154tp ( t ) = \frac { 180 } { 1 + 9 e ^ { - 0.154 t } }

question 5

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A hunting club stocks a wildlife preserve with 18 elk. The carrying capacity of the preserve is 180 animals and the growth of the herd, allowing for the effect of controlled hunting of the elk, is expected to be modeled by the logistic curve p(t) =1801+9e0.154tp ( t ) = \frac { 180 } { 1 + 9 e ^ { - 0.154 t } } , where t is measured in years. After how many years will the population be 153? Round to the nearest year.


Definitions:

Absolute Threshold

The minimum intensity of a stimulus that one can detect 50% of the time.

Response Criterion

The subjective standard or rule used by individuals to decide whether or not to respond in a particular situation.

Base Value

The initial value used as a reference point for comparison or calculation in various contexts, such as mathematics or finance.

Transduction

The process of converting one form of energy into another, as in sensory systems converting physical stimuli into neural signals.

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