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Suppose that love is stocked with 525 fish, and blologists predict that the population of these fish will be approximated by the function PO - 5251n(21 + e), where!is measured in years. What will be the fish population in 18 years? Round your answer to the nearest whole numberAnswerto enter your answer tonens in new windowKeypadKeboard Shortcuts

Suppose that love is stocked with 525 fish and blologists predict that the population of these fish will be approximated by the function PO 5251n21 e whereis me class=

Respuesta :

It is given that the population of the fish over time is approximated by the function:

[tex]P(t)=525\ln(2t+e)[/tex]

It is required to find the approximate population of the fish in 18 years.

To do this, substitute t=18 into the function:

[tex]P(18)=525\ln(2\cdot18+e)=525\ln(36+e)[/tex]

Evaluate and round to the nearest whole number as required:

[tex]P(18)=525\ln(36+e)\approx1920[/tex]

Hence, the fish population will be about 1920 in 18 years.

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