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I NEED HELP ASAP! : An initial population of 175 quail increases at an annual rate of 22%. Write an exponential function to model the quail population. What will the approximate population be after 5 years?

Respuesta :

Answer:

About 473 quails.

[tex]P=175(1.22)^t[/tex]

Step-by-step explanation:

Exponential equation with [tex]P_0[/tex] as the initial amount and rate of r is:

[tex]P=P_0(1+r)^t[/tex]

[tex]P=175(1+.22)^t[/tex]

[tex]P=175(1.22)^t[/tex]

After 5 years the population will be:

[tex]P=175(1.22)^5[/tex]

[tex]P \approx 472.9739[/tex]

So the population will be about 473 quails.

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