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.

F(x)=5x-1/2 F(x)=ax+b Interpret a and b. If F(7m)=80m, find all values of m.

h$=4h²-10h If 3c$=90c, find all values of c.

x∆c=4x-5xc+10c If 4∆3b=10b, find b∆b.

a∇b=5a-3b+abc If 10∇10=1200, find 5∇6.

n people purchase a gift (g) for $l. m people purchase another gift (p) for $q. If n>m and l<q, find the difference in price between g and p.

F(x)=3x²-10x If F(2b)=100b, find all values of b.