Today 11/11/19
(two separate questions)

in ogilvie’s class of 40 students, 24 students report that english is their favorite class and 40% of the students report that keyboarding is their favorite class. show your work to explain how to determine whether more students prefer english or keyboarding.

emerson purchased a game that was on sale for 18% off. the sales tax in his county is 8%. let y represent the original price of the game. write an expression that can be used to determine the final cost of the game.

Write the sine and cosine values of a, b, respectively, in the figure for (1) and (2) + explanation.

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.)

Predict which statements are true about the intervals of the continuous function. check all that apply