b) The weekly demand and supply functions for a new brand of TV are given by p = -0.2x2 + 150 and p = 0.2x2 + 0.7x + 75 respectively, where p is the unit price in dollars and x is the quantity demanded each week, in units of a hundred. a (i) Determine the unit price when there is no demand. [1 mark] (ii) Determine the quantity supplied when the unit price is set at $95. [2 marks] (iii) Determine the equilibrium price and quantity. [3 marks]

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3

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.

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: