Solve each matrix equation. If an equation cannot be solved, explain why.

$$\left[\begin{array}{cc}{0} & {-4} \\ {0} & {-1}\end{array}\right] X=\left[\begin{array}{l}{0} \\ {4}\end{array}\right]$$

Solve the inequality and sketch the solution on the real number line. (Some inequalities have no solutions.)

$$-4<\frac{2 x-3}{3}<4$$

Factor completely.

$$10x^2(x + 1) - 7x(x + 1) - 6(x + 1)$$

State the number using Babylonian notation. 227,597

A procedure to measure the alkalinity (Box 11-1) of home swimming pool water is to titrate a fixed volume of pool water by counting the number of drops of standard H2SO4 to reach the bromocresol green end point.31 Explain what is measured in this titration and why bromocresol green was chosen.

Find the horizontal asymptotes of the function by computing the limits at infinity.

$$f(t)=\frac{t^{1 / 3}-t^{-1 / 3}}{\left(t-t^{-1}\right)^{1 / 3}}$$

Factor completely, or state that the polynomial is prime.

$$x^3 + 2x^2 - x - 2$$

Give the missing property of P–v–T and x for water at. 10 MPa, 0.003 m3/kgb. 1 MPa, $190^{\circ} \mathrm{Cc} .200^{\circ} \mathrm{C}$, 0.1 m3/kgd. 10 kPa, $10^{\circ} \mathrm{C}$

Solve each equation. Give exact solutions. Then approximate each solution to the nearest hundredth, if necessary.

$$\frac{1}{2} x^2=6$$

Factor completely, or state that the polynomial is prime.

$$20y^4 - 45y^2$$

Factor completely.

$$7 q^4-4 q^3+28 q^2-16 q$$

Solve each matrix equation. If an equation cannot be solved, explain why.

$$\left[\begin{array}{cc}{5} & {-3} \\ {4} & {-2}\end{array}\right] X=\left[\begin{array}{c}{5} \\ {10}\end{array}\right]$$

Does this model represent a compound? Explain your answer. 2 green spheres connected by 1 grey stick.

The following amounts summarize the financial position of Davis Computing, Inc., on September 30, 2018:

$$\begin{array}{c} &&&& \textbf{Assets} &&&& = & \textbf{Liabilities} & + & \textbf{Stockholders’} & \textbf{Equity}\\ \\ &&& \textbf{Accounts} &&&&&& \textbf{Accounts} && \textbf{Common} && \textbf{Retained}\\ & \textbf{Cash} & + & \textbf{Receivable} & + & \textbf{Supplies} & + & \textbf{Equipment} & = & \textbf{Payable} & + & \textbf{Stock} & + & \textbf{Earnings}\\ \text{Bal} & 2,400 &&3,450 &&&& 11,700 && 7,900 && 5,500 && 4,150\\ \end{array}$$

During October 2018, Davis Computing completed these transactions:

a. The company received cash of $3,500 and issued common stock.

b. Performed services for a customer and received cash of$6,500.

c. Paid $4,400 on accounts payable.

d. Purchased supplies on account,$1,200.

e. Collected cash from a customer on account, $1,700.

f. Consulted on the design of a computer system and billed the customer for services rendered,$4,700.

g. Recorded the following expenses for the month: (1) paid office rent, $1,800; (2) paid advertising,$550.

h. Declared and paid a cash dividend of $2,700.

Requirements

1. Analyze the effects of the preceding transactions on the accounting equation of Davis Computing, Inc.

2. Prepare the income statement of Davis Computing, Inc., for the month ended October 31, 2018. List expenses in decreasing order by amount.

3. Prepare the statement of retained earnings of Davis Computing, Inc., for the month ended October 31, 2018.

4. Prepare the balance sheet of Davis Computing, Inc., at October 31, 2018.