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Applications of quadratic equations: Maxima and minima
Between 1989 and 1997 the percentage of households with incomes of $100,000 or more (in 1997 dollars) is modeled by f(x) = .071x2 - .426x + 8.05, where x = 0 represents the year 1989. (Source; American Demographics, January 1999). Based on this model when did the percent of people in this income level reach its minimum? You do not have to graph the function.
Calculate the surface area of an unopened steel can that has a height of 5cm and a radius of 7cm.
The United States House of Representatives has 78 women representative with 59 being democrats and 19 being republicans. If a lobbyist for AARP randomly selects three different representatives to visit what is the probability
If you have 248 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
A company manufactures tables and chairs. Each chair requires 2.5 hours of assembly and 0.5 hours of packaging. Each table requires 5 hours of assembly and 0.65 hours of packaging(Please show all work)
the number of widgets sells can be modeled by -5p+100 where p is the price of a widget. Revenue from sales is the product of the price and the number sold. What price will maximize the revenue? What is the maximum revenue?
the daytime maximum temp of a city is 33 degrees C. At night the temp became 26 degrees c. what is the rise in temperature from daytime to night time?
What percentage of those residents using the maid service are retired?
An IRS auditor randomly selects 3 returns from 59 returns of which 10 contain errors. What is the probability of her selecting NONE of those that contain errors?
Sketch the graph of the inventory as a function of time t (days). At what times is the graph discontinuous?
Find the velocity of the top of the ladder at time t=3.
A one compartment vertical file is to be constructed by bending the long side of an 8 inch by 20 inch sheet of plastic along two lines to form a U shape. How tall should the file be to maximize the volume that it can hold?
A tank is in the form of an inverted cone having an altitude of 12m and radius of 4m. Water is flowing into the tank at a rate of 2 m/min.
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