1.

The Cool Company determines that the supply function for its basic air conditioning unit is S(p)=50+0.02p^3and that its demand function is D(p)=250-0.2p^2, where p is the price. Determine the price for which the supply equals the demand.

a)

$22.36

b)

$21.86

c)

$22.86

d)

$21.36

2. Wind speed varies in the first twenty meters above the ground. For a particular day, let f(x)=1.5lnx+7.0model the wind speed x metersabove the ground. What is the wind speed9meters above the ground? Round results to the nearest hundredth.

a)	9.92 meters per second

b)	10.30 meters per second

c)	9.20 meters per second

d)	-3.70meters per second

3.

Prices in an economy with a 7% annual inflation rate can be modeled by P = pe^rt, where r is the inflation rate, t is the time in years, and p is the current price. How long will it take for prices in the economy to double at a 7% annual inflation rate?

:

a)	23.45 years

b)	10.9 years

c)	15.69 years

d)

9.9 years

4. A stone is thrown into a pond. A circular ripple is spreading over the pond in such a way that the radius is increasing at the rate of6.4feet per second. Find a function, r(t), for the radius in terms of t. Find a function, A(r), for the area of the ripple in terms of r. find(A r)(t)

a)	(Ar)(t)=12.8t2

b)	(Ar)(t)=40.96t2

c)	(Ar)(t)=6.4t2

d)	(Ar)(t)=40.962t

5.

he profit for a product is given by p = 2262 + x²- 107x, where x is the number of units produced and sold. Graphically find the x-intercepts of this function to find how many units will give break-even (that is return a profit of zero).

Question 19 options:

a)

29 units

b)

78 units

c)	They will never break even.

d)	29 or 78 units

6.

Write the equation of the quadratic function whose graph is a parabola containing the given points. (0,-1), (4, 51), (-2, 9)

Question 21 options:

a)

y=3x2-x-1

b)

y=3x2+x-2

c)

y=3x2+x-1

7.

(-7,9); horizontal Question 28 options:

a)

y=9

b)

x=-7

c)

x=-9

d)

y=7