A new mixture of self-tanning & moisturizing lotions for everyday use is being developed. This mixture is made by mixing 400 ounces of everyday moisturizing lotion for $0.40 per ounce with self-tanning lotion worth $2 per Ounce. If the new self-tanning & moisturizing lotion
mixture is to cost $1.20 per ounce, how many ounces of the self-tanning lotion should be in the mixture?

Consider the function f(x)=−2/3x+5 . what is f(1/2) ? enter your answer, as a simplified fraction, in the box. f(1/2)=

Convert 3,200,000 to a scientific notation.

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 $ .