For each weekly meeting of a group of business leaders, members take turns being the note-taker, the facilitator, and the speaker. in how many different ways can these positions be chosen from the 9 members?

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

Frank owns a $141,000 home, for which he has a 30-year mortgage in the amount of $700 a month. once he has paid off mortgage, how much will he have paid in investment? a. $111,000 b. $109,000 c. $120,000 d. $141,000

Which statement accurately describes how to perform a 90° clockwise rotation of point a (1,4) around the origin?