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A Lake Is Stocked with 422 Fish of a New P(t)=26371+5.05e0.39tP ( t ) = \frac { 2637 } { 1 + 5.05 e ^ { - 0.39 t } }

question 143

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A lake is stocked with 422 fish of a new variety. The size of the lake, the availability of food, and the number of other fish restrict growth in the lake to a limiting value of 2637. The population of fish in the lake after time t, in
Months, is given by the function P(t) P(t) =26371+5.05e0.39tP ( t ) = \frac { 2637 } { 1 + 5.05 e ^ { - 0.39 t } } . Find the population after 1 months.


Definitions:

Y Chromosome

A sex chromosome that is typically present in male individuals and is one of the determinants of male biological sex in humans.

X Chromosome

One of the two sex chromosomes, with females typically having two X chromosomes and males having one X and one Y chromosome.

Menarche

The first menstrual period in a person's life, marking the onset of reproductive capability.

Ovaries

Female reproductive organs that produce eggs (ova) and secrete hormones such as estrogen and progesterone.

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