In a certain city the temperature (in °F) t hours after 9 a. m. was modeled by the function T(t) = 40 + 15 sin πt 12 . Find the average temperature Tave (in °F) during the period from 9 a. m. to 9 p. m.

Kevin is an insurance salesman. when he sells a policy, he makes 20 percent of the policy premium (p) up front; then each year the policy is active, he receives 15 percent of the original premium. which equation could be used to figure his total commission on a policy that has been active for five years? c=0.80p c=0.20p + 0.15p c=0.35p + 4(0.15) c=0.95p

Haruka hiked several kilometers in the morning. she hiked only 66 kilometers in the afternoon, which was 25% less than she had hiked in the morning. how many kilometers did haruka hike in all?

Which of the following represents the length of a diagonal of this trapezoid?