1.Show that the statement is true by using properties of the real numbers.

5x(y9)=5xy45x

Rewrite 5x(y9) by multiplying 5x by each term inside the parentheses using the distributive property.

Rewrite 5x(y9) using this property.

5x(y9)=(5x)=. -(5x)=.

(Type the terms of your expression in the same order as they appear in the originalexpression.)

2.Use the functions given below to solve the problem. C(x) represents thecost, indollars, of x units of a product andR(x) represents therevenue, indollars, from the sale of x units. Find the number of units that must be produced and sold in order to break even.

C(x)=108,000+40x and R(x)=49x

The number of units that must be produced and sold in order to break even is

=. units

3.Suppose products A and B have demand and supply equations that are related to each other. If qA and qB are the quantities produced and sold of A andB, respectively, and pA and pB are their respectiveprices, the table below shows the demand equations and the supply equations. Eliminate qA and qB to get the equilibrium prices.

demand equations supply equations

qA=3-pA+pB qA=-7+6pA-2pB

qB=22=pA-pB qB=-3-2pA=6pB

.The prices are pA=$ (. ) and pB=$(. )

.

(Round to the nearest cent asneeded.)

4.Find (a) the compound amount and (b) the compound interest rate for the given investment and rate.

$7000 for 5years at an effective rate of 2%

(a) The compound amount in the account after 5 years is $=

.

(Do not round until the final answer. Then round to the nearest cent asneeded.)