Find the income tax T (in dollars) for a person with adjusted gross income g (dollars), where 30,500≤g≤74,100. The tax function is T(g)=4220+0.25(g−30,500). Determine the domain of T(g).
Find the minimum unit cost C of an airplane engine given the function C(x)=0.6x2−168x+23,446, where x is the number of engines made.
Unit cost: $$22,168.00
Find the number of soda (x) and juice (y) bottles purchased, given x bottles of soda have 25g of sugar each, y bottles of juice have 15g of sugar each, and the total sugar is 300g.
Contractor needs nails for house. Small boxes have 200 nails, large 400. Bought 3 times more large boxes. Solve 3y+x=28 and 2x+3y=14 to find small boxes x and large boxes y.
The number of a company's video stores can be approximated by y=−266x+4887, where x is years after 2005.
a. Graph the linear equation.
b. The missing coordinate is (8,−2009).
c. The company will have 400 video stores in 2013.
d. The y-coordinate of the y-intercept is 4887.
e. The x-intercept represents the year when the company had 0 video stores.
Find the number of signatures each person has, given that Victor has 50 more signatures than Marsha and they have a total of 280 signatures. Let s be the number of signatures Marsha has. Then, Victor has s+50 signatures. The total number of signatures is s+(s+50)=280.
Determine which points (x,y) satisfy the system of inequalities: x≥−4, x+2y<10, 3x+6y≥9. Explain why each of the given points (−1,1), (3,0), (−5,−5), and (0,5) is or is not a solution.
A car worth $42,000 depreciates by $6000 per year. The model is y=−6000x+42,000. Find the missing coordinate (4,?) and interpret the y-intercept. What does the x-intercept represent?