The Management of a small fast-food chain believes that t days after the end of an advertising campaign, the rate at which the volume V (in dollars) of sales is changing is well approximated by the exponential function V’(t)=-29,000e^-0.46t. On the day the advertising campaign ended (when t=0) the sales volume was $130,00.

(A) find and interpret the rate of change V’(5)

(B) find the function V’(t) which gives the volume of days after the end of the campaign

(C) Find and interpret V(5)

The manufacturer of a new product developed the following expression to predict the monthly profit, in thousands of dollars, from sales of the productwhen it is sold at a unit price of x dollars.-0.5x^2 + 22x - 224what is represented by the zero(s) of the expression? a.the profit when the unit price is equal to 0b.the unit price(s) when the profit is equal to 0c.the profit when the unit price is greatestd.the unit price(s) when profit is greatest

Which function has the domain x> -11?

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.