An equation for potential energy states U=mgh. If U is in joules (J), with m in kg, h in m, and g in

$$m/s^2$$

, find the combination of SI base units that are equivalent to joules.

Nordtown Company is a marketing firm. The company’s trial balance on August 31, 2014, follows.

$$\begin{array}{c} \textbf{Nordtown Company}\\ \textbf{Trial Balance}\\ \textbf{August 31, 2014}\\ \end{array}$$

$$\begin{array}{lrr} \text{Cash (111)} & 10,590\\ \text{Accounts Receivable (113)} & 5,500\\ \text{Office Supplies (116)} & 610\\ \text{Office Equipment (146)} & 4,200\\ \text{Accounts Payable (212)} && 2,600\\ \text{D. Guetta, Capital (311)} && 18,300\\ \hline & \underline{\underline{20,900}} & \underline{\underline{20,900}}\\ \end{array}$$

During the month of September, the company completed the following transactions:

Sept. 2 - Paid rent for September, $650.

Sept. 3 - Received cash from customers on account,$2,300.

Sept. 7 - Ordered supplies, $380.

Sept. 10 - Billed customers for services provided,$2,800.

Sept. 12 - Made a payment on accounts payable, $1,300.

Sept. 14 - Received the supplies ordered on September 7 and agreed to pay for them in 30 days,$380.

Sept. 17 - Discovered some of the supplies were not as ordered and returned them for full credit, $80.

Sept. 19 - Received cash from a customer for services provided,$4,800.

Sept. 24 - Paid the utility bill for September, $250.

Sept. 26 - Received a bill, to be paid in October, for advertisements placed in the local newspaper during the month of September to promote Nordstrom Company,$700.

Sept. 29 - Billed a customer for services provided, $2,700.

Sept. 30 - Paid salaries for September,$3,800.

Sept. 30 - Made a cash withdrawal of $1,200.

Required

1. Open accounts in the ledger for the accounts in the trial balance plus the following accounts: D. Guetta, Withdrawals (313); Marketing Fees (411); Salaries Expense (511); Utilities Expense (512); Rent Expense (514); and Advertising Expense (516).

2. Enter the August 31, 2014, account balances from the trial balance.

3. Enter the September transactions in the general journal (page 22).

4. Post the journal entries to the ledger accounts. Be sure to make the appropriate posting references in the journal and ledger as you post.

5. Prepare a trial balance as of September 30, 2014.

6. Examine the transactions for September 3, 10, 19, and 29. What were the revenues, and how much cash was received from the revenues? What business issues might you see arising from the differences in these numbers?

Use mathematical induction to prove that the statement is true for ail positive integers n. Find row 9 of Pascal's triangle.

Find the areas bounded by the indicated curves.

$$y^2 = x^4 (1 - x^3)$$

A mixture containing $2.50 \mathrm{~g}$ each of $\mathrm{CH}_4(\mathrm{~g}), \mathrm{C}_2 \mathrm{H}_4(\mathrm{~g})$, and $\mathrm{C}_4 \mathrm{H}_{10}(\mathrm{~g})$ is contained in a 2.00- $\mathrm{L}$ flask at a temperature of $15^{\circ} \mathrm{C}$.

Calculate the total pressure of the mixture.

Humpback whales sometimes catch fish by swimming rapidly in a circle, blowing a curtain of bubbles that confuses a school of fish and traps it in a small area, where the whales can easily catch and eat them. Suppose a $\textrm{28,000-kg}$ humpback whale swims at $2.2 \mathrm{~m} / \mathrm{s}$ in a circle of radius $8.5 \mathrm{~m}$. What centripetal force must the whale generate?

The decomposition of sulfuryl chloride, $\mathrm{SO}_2 \mathrm{Cl}_2$, to sulfur dioxide and chlorine gases is a first-order reaction.

$$\mathrm{SO}_2 \mathrm{Cl}_2(g) \longrightarrow \mathrm{SO}_2(g)+\mathrm{Cl}_2(g)$$

At a certain temperature, the half-life of $\mathrm{SO}_2 \mathrm{Cl}_2$ is $7.5 \times 10^2$ min. Consider a sealed flask with $122.0 \mathrm{~g}$ of $\mathrm{SO}_2 \mathrm{Cl}_2$. (a) How long will it take to reduce the amount of $\mathrm{SO}_2 \mathrm{Cl}_2$ in the sealed flask to $45.0 \mathrm{~g}$ ? (b) If the decomposition is stopped after $29.0 \mathrm{~h}$, what volume of $\mathrm{Cl}_2$ at $27^{\circ} \mathrm{C}$ and $1.00 \mathrm{~atm}$ is produced?

The graph shows the number of files scanned by a computer virus detection program over time. Use estimation to find the rate of change between points A and B?

Explain how tube feedings are given.

In each of the following sentences, decide what type of complement the underlined word is. Above the word, write DO for direct object, IO for indirect object, or *OC for objective complement. The photographer gave $\underline{us}$ one of the pictures she had taken of the school.

An object moving in a circle at a constant speed has an acceleration that is (a) in the direction of motion, (b) toward the center of the circle, (c) away from the center of the circle, (d) zero

A paper-towel tube is about 4 cm in diameter. The circumference of a paper-towel tube is about how many centimeters? (Use 3.14 for

$$\pi$$

.)

The following frequency distribution summarizes the weights of $195$ fish caught by anglers participating in a professional bass fishing tournament.

$$\begin{array}{ll} \text{\bf{Weight (Pounds)}} & \text{\bf{Frequency}} \\ 1-3 & 53\\ 4-6 & 118\\ 7-9 & 21\\ 10-12 & 3 \end{array}$$

Calculate the (approximate) sample variance for these data.

For each of the following sentences, identify the underlined clause by writing above it ADJ for adjective clause or ADV for adverb clause. Circle the word or words that the underlined clause modifies.

Please give that coat, $\underline{\text{which is too small for you}}$, to your cousin.