An item is priced at $13.66. if the sales tax is 7%, what does the item cost including sales tax? a. $14.62 b. $0.96 c. $28.28 d. $23.22

Which of the following transformations does not preserve congruence? * 5 points a. (x, y) → (y − 3, x − 3) b. (x, y) → (x + 5, y − 1) c. (x, y) → (y + 9, −x + 2) d. (x, y) → (3x + 1, 3y − 2)

Problems and applications q5 four roommates are planning to spend the weekend in their dorm room watching old movies, and they are debating how many to watch. here is their willingness to pay for each film: willingness to pay (dollars) shen antonio dmitri jake first film 10 9 8 3 second film 8 7 6 2 third film 6 5 4 1 fourth film 4 3 2 0 fifth film 2 1 0 0 within the dorm room, the showing of a movie a public good. if it costs $12 to rent a movie, the roommates should rent movies in order to maximize the total surplus. suppose the roommates choose to rent the optimal number of movies you just indicated and then split the cost of renting equally. this means that each roommate will pay $ .

Which statement is true about the local minimum of the graphed function? 27 +0,25) over the interval [-4, -2], the local minimum is 0. over the interval (-2,-1], the local minimum is 25. over the interval (-1, 4], the local minimum is 0. over the interval [4, 7), the local minimum is -7. (-34, 139,0n 760) in modo