Find the surface area of a sphere with the volume of 27π.

A factory in Hackensack manufactures T-shirts. The factory has monthly operating costs of $14,000 per month regardless of how many shirts are produced. Additionally, the factory must spend $7.45 for each shirt produced. In July, the total factory costs were $19,000. Approximately how many shirts were produced? Find an expression for C(n) where cost is[…]

9xy+14x=15y-40+100x. Find an expression for y in terms of x.

Line s is perpendicular to line t and passes through (12,32). Find an equation to describe line s.

Staples now sells their own notebooks. Making notebook has a fixed factory cost of$6,000 and a per unit cost of $0.58 per notebook. Staples sells these notebooks for $3.99 each. As a function of the number of notebooks staples sells (n), write an equation for Staples’ profit P(n). How many notebooks does Staples need to[…]

Sarah goes to Staples and buys 8 notebooks, on sale for 15% off. The notebooks are subject to a 7.5% New Jersey sales tax. The final price of one notebook is 2.98. What was the original price?

Staples also sells pens. Pens ordinarily cost $1.55 each. This month, they are on sale in Vermont for 18% off, but are subject to an 8% sales tax. What is the final price of the pens?

The final price of an item is F. The initial price is P. If the item is on sale for 22% off but subject to a 19% tax, find the value of P in terms of F.

The quantity of pens supplied can be described as a function of price (p) such that s(p)=80+4p. The quantity of pens demanded can be described as a function of price(p) such that d(p)=100-12p. How do s(p) and d(p) differ? A market clears when supply equals demand. At what quantity and price does the market clear?

m² is directly related to 3r. When m is 4, r is 10. Find r when m is 7.