3. W A. 43 ft B. 40 ft C. 80 ft 80 ft A bungee jumper leaps off a bridge 80 feet above the ground using a 55-foot-long bungee cord. Her height as a function of time is modeled by the following equation: h (1)=60sin (+1)+30 D. 65 ft E. 34 ft 55 ft What is the highest elevation the bungee jumper achieves after the initial descent?

Please write clearly thank you.

Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second hand is 15cm long. Use t=0 to represent the moment the second hand begins it's cycle at the top of the clock, and let y(t) represent the vertical distance above the center of the clock when t is in seconds. Graph the function, explaining how the values of A,B,C,D each give information about the graph of the function.

Residents of the town of Maple Grove who are connected to the municipal water supply are billed a fixed amount yearly plus a charge for each cubic foot of water used. A household using 1000 cubic feet was billed $56, while one using 1600 cubic feet was billed $84. (a) What is the charge in dollars per cubic foot? Give an exact answer. 28 600 (b) Write an exact equation for C, the total cost, of a resident's water as a function of w, cubic feet of water used. Use lower case w. 28 600 C(w) = 10+ + w 3 (c) How many cubic feet of water used would lead to a bill of $130? Round your answer to the nearest cubic foot. ft3

Graph the function h (x)=-3x- 2. 8- -8 -6 Check 69 2,411 600 338 O80

A parking garage charges a $5 flat fee, plus an additional $2 per hour. a) Write an equation to describe the total cost (C) as a function of how many hours a customer parks (t). C (t) = b) If Jimmy parks his car in this garage for 7 hours, what is the total cost? Total cost = $ %3D The home prices in a certain area have been increasing at a rate of 2.1% per year for many years. If I buy a house for $263,127 today, how much would my house have been worth 14 years ago? (round to the nearest dollar) (you do not need to include a $ for the unit; I will assume your answer is in dollars) A nuclear reactor produces 64 kg of Uranium-252, which has a half-life of 70 years. How many kg of Uranium will be left after 115 years? (round to the nearest tenth) (you do not need to include a unit. I will assume your answer is in kg) The population of the chumbawamba fish is decreasing at a rate of 4% per year. If

Write an equation for a trig function which matches the graph below: (бл, 8) (0, 5) (2т, 2) 10 15 20 25

For this item, select the answers from the drop- down menus. Select the phrases that best complete the sentence. A crane lifts construction materials from a palette to the top of a building at a constant rate. The equation y = 4x + 3 models the height of the materials, y, in feet, after seconds of lifting. The crane lifts the materials at a rate of Oand the initial height of O feet per second 3 feet per second Finish 4 feet per second

D represents Rachel's remaining distance (in meters) as a function of time t (in seconds). D=-38t+220D What is Rachel's speed?

A person invests $5000 in an account at 4% interest compounded annually. Let V = f(t) be the value (in dollars) of the account after t years or any fraction thereof. a. Find an equation of f. b. What is the V-intercept? What does it mean in this situation? c. What will be the value of the investment in five years? d. When will the value of the investment be $7000? ... a. f(t) = (Simplify your answer. Use integers or decimals for any numbers in the expression.)