# math

A market research company finds that traffic in a local mall over the course of a day could be estimated by the function P(t)=-1800cos(π/ππ)+ππππ where P,is the number of people going to the mall ,and t is the time, in hours ,after the mall opens. The mall opens at 9.30 a.mοΏ½οΏ½i)sketch the graph of function P(t)οΏ½ii)When does the mall reach its peak hours and state the number of people.οΏ½iii)Estimate the number of people in the mall at 7.30p.m
iv)Determine the time when the number of people in the mall reaches 2570.

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