2. A resort hotel charges 7.5% in taxes. Additionally, they charge a $33 resort fee each day. (The resort fee is not subject to sales tax.) The following functions represent the situation: f(a) = 1.075a g(b) = b + 33 a. Match the following to their description. a b f(a) g(b) A. The cost of the hotel room, with sales tax and the resort fee. B. The cost of the hotel room and sales tax, but without the resort fee. C. The cost of the hotel room without sales tax or the resort fee. b. Is g(f(a)) = g(b)? Justify your answer.

Find the area and perimeter of each composite figure. use 3.14 for π. round your answer to the nearest tenth. a square and a right triangle share a common side. image long description a 3-meter by 0.5-meter rectangle has triangles attached like wings to the 3-meter sides. the other two sides of both triangles measure 2.5 meters. the height of each triangle is 2 meters. a 6-inch by 4-inch rectangle has 2 half-circles attached like wings to the 6-inch sides. the radius of each half-circle is 3 inches. find the surface area and volume of each figure. use 3.14 for π. round your answer to the nearest tenth. a right circular cylinder has a base radius of 6 yards and a height of 20 yards. a rectangular prism has a base that is 9 centimeters long and 7 centimeters wide. the height is 2 centimeters. a rectangular prism has a base that measures 11 millimeters by 11 millimeters. the height is 11 millimeters.

Explain step-by-step how to simplify -5(2x – 3y + 6z – 10).

What is the solution to this system of equations? y= 2x - 3.5 x - 2y = -14