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The average monthly precipitation P (in inches) for a certain city can be modeled by P = 1.11 sin(0.55 t 2.22) + 2.78, 0 t

The average monthly precipitation P (in inches) for a certain city can be modeled by

P = 1.11 sin(0.55t 2.22) + 2.78, 0 t 12,

where t is the time (in months), with t = 1 corresponding to January. Find the total annual precipitation, in inches, for the city. (Round your answer to three decimal places.)

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