D(p) is the​ price, in dollars per​ unit, that consumers are willing to pay for p units of an​ item, and​ S(p) is the​ price, in dollars per​ unit, that producers are willing to accept for p units. Find the equilibrium point. ​D(p)=3500−20p​, ​S(p)=2500+5p What are the coordinates of the equilibrium​ point?

(40,2700)

Step-by-step explanation:

Given

Required

The equilibrium point

To do this, we have:

So, we have:

Collect like terms

Divide both sides by 25

Substitute in

Hence, the coordinates of the equilibrium is: (40,2700)

they will manufacture 8496 cars

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.