According to a research study in 2010, there were 440 coyotes in a given region, and the predicted growth rate was 17% each year. According to the study, what would be the coyote population in 2030? Round to the nearest whole number. Enter your answer in the box.

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According to a research study in 2010, there were 440 coyotes in a given region, and the predicted growth rate was 17% each year. This gives you that after t years passed, the number of coyots will be

[tex]C=C_0\cdot (1+r)^t,[/tex]

where [tex]C_0[/tex] is initial number of coyots,

r is predicted rate,

t is time (in years).

Since [tex]C_0=440, r=0.17, t=20,[/tex]

you have

[tex]C=440\cdot (1+0.17)^{20}\approx 10166.[/tex]

Answer: 10166.

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