A store owner estimates that by charging x dollars each for a certain brand of sunglasses, he can sell 40−x pairs of sunglasses each week. The quadratic function R(x)=−x2+40x is used to find the revenue, R, received when the selling price of a pair of sunglasses is x. Find the selling price that will give him the maximum revenue, and then find the amount of the maximum revenue.

step-by-step explanation:

in which figure is point g a centroid

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

step-by-step explanation: