The revenue for a manufacturer of compute printers is given by the equation R= x(30-0.4x), where revenue is in thousands of dollars and x thousand printers are manufactured and sold. a) Find the 2 possible numbers of printers that could be sold to bring in a revenue of $440,000? b) Which of this possible outputs benefits the manufacturer? Explain. (Remember this function gives you revenue, not profit)

A punter kicks a football. Its height in meters is given by the function, h(t) = - 4.9t ^ 2 + 18.42t + 0.8 where represents the height (meters) and represents the time, in seconds. The height of an approaching blocker's hands can be modeled by the equation, h(t) = - 2.21t + 7.45 using the same timeCan the blocker knock down the punt? If so, at what time does this happen ? Use the Desmos Graphing Calculator below to help answer this question

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A rectangular parcel of land has width, w feet. The length of the diagonal, d, between opposite corners is 18 feet more than the length of the parcel. Note that d is lowercase. (a) Express the length, L, of the parcel as a function of d. (b) Express the width, w, of the parcel as a function of d. (c) Express the area, A, of the parcel as a function of d. L = W = A = (d) Suppose a fence is to be built around the perimeter of the rectangular parcel of land. The fencing material will cost $25 per foot. Express the total cost, C, of fencing the parcel as a function of d. C =

You purchased a car for $30 000. It depreciates by 25% of its current value every year. a) Write a function that can be used to model the value of the car after x years. b) How much will the car be worth 3 years after it is purchased? c) How long would it take for the car to depreciate to a value of $20 000?

The amount of money in a fund F (in millions of dollars) can be approximated by the equation F=.634x2-5.17x+23.8, where x=5 corresponds to the year 2005. What year produced $72 million?

The total yield of corn on Mr. Geller's farm from 1991 to 2010 can be modeled by the function f(x) =2x3+154x2+292x-600 (measured in kilograms) and the area of Mr. Geller's farm from 1991 to 2010 can be modeled by g(x) = 2x + 150(measured in hectares), where x is the number of years since1991. Which of the following expressions correctly describes the average yield of corn per hectare?

The yearly profit, "P" of your store can be estimated by the function P(n)=15n-45,000 where "n" is the number of items you sell per year, and P is measured in dollars. A) what is your estimated profit if you sell 5,280 items this year? B) Estimate the number of items you must sell to make $150,000 profit? C) Estimate the number of items you must sell to break even ($0 profit)

A 1000-square-foot rectangular plot of land is going to be divided into three equal-sized, adjacent playgrounds (see diagram). Find the number of feet of fencing required as a function of x. (Note: there is only one fence between the playgrounds, not two.) Answer:

The population of bees at the Cincinatti Zoo is modeled using the function below: "w" represents the number of weeks that have passed since the colony was set up. "b" represents the number of bees in thousands that live in the colony. b(w) = 4w² + 5w + 100 How many weeks will it take for the population of bees to reach 225 000? Paragraph BI U✓ A + v ... X 11.