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Suppose That a School of Fish in a Pond Grows P(t)=P0ektP ( t ) = P 0 e ^ { k t }

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Suppose that a school of fish in a pond grows according to the exponential law P(t)=P0ektP ( t ) = P 0 e ^ { k t } and suppose that the size of the colony triples in 24 days. If the initial size of the school was 50, when will the school contain 200 fish? Enter your answer exactly in the form alnblnc\frac { \mathrm { a } \ln \mathrm { b } } { \ln \mathrm { c } }


Definitions:

Human Chromosome

A thread-like structure of nucleic acids and protein found in the nucleus of most living cells, carrying genetic information in the form of genes.

Genes

Units of heredity made up of DNA that carry information for the development, functioning, and reproduction of organisms.

Heritability

The proportion of variation among individuals that we can attribute to genes.

Genetic Similarity

The degree to which the genetic makeup of individuals or species resembles each other.

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