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The Deer Population in a State Park Is Modelled By f(t)=50

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The deer population in a state park is modelled by f(t)=50sin(πt6)+230f(t)=50 \sin \left(\frac{\pi t}{6}\right)+230 where tt is the number of months since January 1,2005 . If 0t120 \leq t \leq 12 , find the value(s) of tt at which the deer population is equal to 272 . Round your answer to the nearest tenth.

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