The u. s energy information administration reported that the average cost of residential electricity use in 2000 was 0.0824 per kilowatt hour. if the cost of a kilowatt-hour of electricity since 2000 followed the model y=0.0797(1.04) to the power of x, what is the expected cost of a kilowatt-hour of electricity in 2015? round your answer to the nearest hundredth of a dollar.

Which rectangle if translated 6 units right and 16 units down and the rotated 90° clockwise about the point (4, -11) will result in rectangle e?

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)

Use a transformation to solve the equation. w/4 = 8 can you also leave a detailed explanation on how this equation = 32