A salesman's monthly gross pay consists of $3500 plus 20 percent of the dollar amount of his sales. If his gross pay for one month was$15,500, what was the dollar amount of his sales for that month? $$ F \ $12,000 $$ $$ G \ $16,000 $$ $$ H \ $60,000 $$ $$ J \ $70,000 $$

Simplify the expression

$$Y=A \cdot \bar{B} \cdot \bar{C}+A \cdot \bar{B} \cdot C+\bar{A} \cdot B \cdot C+A \cdot B \cdot C$$

using the boolean algebra.

In given problem, find the indicated limit. In most cases, it will be wise to do some algebra first.

$$\lim _{x \rightarrow-1} \frac{x^3-4 x^2+x+6}{x+1}$$

The sale price of the new car was $18,500. The sales-tax rate was 6.5 percent. a. What was the sales tax on the car? b. What was the total price including tax? c. If the commission paid to a salesperson is 2 percent of the sale price, how much is the commission on a$18,500 sale?

By using a computer algebra system to solve the cubic equation

$$x^3+x+1=3+ε,$$

find the largest possible value of δ that works for any given ε > 0.

Identify and sketch the quadric surface. Use a computer algebra system to confirm your sketch.
$16 x^2+9 y^2+16 z^2-32 x-36 y+36=0$

The Marketing Manager at Foodco, a large grocery store, wants to determine if store display location influences sales of a particular grocery item. He instructs employees to rotate the display location of that item every week and then tallies the weekly sales at each location over a 24-week period (8 weeks per location). The following sales results were obtained.

$$\begin{array}{|c|c|c|} \hline \begin{array}{c} \text { Front of store } \\ \text { (units sold) } \end{array} & \begin{array}{c} \text { Center of store } \\ \text { (units sold) } \end{array} & \begin{array}{c} \text { Side aisle } \\ \text { (units sold) } \end{array} \\ \hline 947 & 858 & 1096 \\ \hline 1106 & 780 & 1047 \\ \hline 1143 & 786 & 910 \\ \hline 1162 & 816 & 823 \\ \hline 967 & 800 & 919 \\ \hline 956 & 770 & 924 \\ \hline 1057 & 876 & 1091 \\ \hline 996 & 802 & 1027 \\ \hline \bar{x}_1=1041.8 & \bar{x}_2=811.0 & \bar{x}_3=979.6 \\ \hline s_1^2=7583.4 & s_2^2=1418.3 & s_3^2=9840.0 \\ \hline & \overline{\bar{x}}=944.1 & \\ \hline \end{array}$$

c. At the $5 \%$ significance level, what is the conclusion of the test?

Find $I_z$ for the given lamina with uniform density of $1$ . Use a computer algebra system to verify your results.

$$z=x^2+y^2, \quad 0 \leq z \leq h$$

For the following problem, use algebra to prove the identity.

$$\frac{\sin x \cos y+\cos x \sin y}{\cos x \cos y-\sin x \sin y}=\frac{\tan x+\tan y}{1-\tan x \tan y}$$

Use a computer algebra system, if available, to evaluate the expressions that follow. (We will see in the next section how a calculator can be used to evaluate such expressions.)

$$\log _{4.5} 12$$

Use a computer algebra system, if available, to evaluate the expressions that follow. (We will see in the next section how a calculator can be used to evaluate such expressions.)

$$\log _5 30$$

Noterman Company has credit sales of $600,000 in January. Past experience suggests that 40% is collected in the month of sale, 50% in the month following the sale, and 10% in the second month following the sale. Compute the cash collections from January sales in January, February, and March.

Use a computer algebra system to find the indicated Taylor polynomials for the function f. Graph the function and the Taylor polynomials. \

$$f(x)=\frac{1}{x^2+1}$$

\

$$n=4, \quad c=1$$

In given problem, find the indicated limit. In most cases, it will be wise to do some algebra first.

$$\lim _{x \rightarrow 0} \frac{x^4+2 x^3-x^2}{x^2}$$