21 rounded to the nearest 10 is 20 :)
You must do 1/2 times base times height
1 person because there is 1 in 100 chance that you get your hat back
Equilibrium is point where supply = demand
Solve with substitution.
From supply equation ---> q = 2p - 63
Sub into demand equation ---> (p+30)(2p-63+25) = 2584
Solve for p:
2p^2 +22p - 1140 = 2584
p^2 + 11p -1862 = 0
(p+49)(p-38) = 0
p = 38
Sub back into supply equation to find q
q = 2(38) - 63
q = 13
Answer: Equilibrium is 13 units sold at price of $38.
Plug the given x and y values (x, y) into the equations and solve
It look like the second equation is the answer.