Consider $f(x)=\dfrac{x^2}{x^2+3}$. Find the local maximum and minimum values of $f$.

In January 2014, the management of Weast Company concludes that it has sufficient cash to purchase some short-term investments in debt and stock securities. During the year, the following transactions occurred.

Feb.  1 Purchased 1,200 shares of ALF common stock for $51,600.
Mar.  1 Purchased 500 shares of LNC common stock for$18,500.
Apr.  1 Purchased 70 $1,000, 8% CRT bonds for$70,000. Interest is payable semiannually on April 1 and October 1.
July  1 Received a cash dividend of $0.80 per share on the ALF common stock.
Aug.  1 Sold 200 shares of ALF common stock at$42 per share.
Sept. 1 Received $2 per share cash dividend on the LNC common stock.
Oct.  1 Received the semiannual interest on the CRT bonds.
Oct.  1 Sold the CRT bonds for$75,700. 

At December 31, the fair values of the ALF and LNC common stocks were $39 and$30 per share, respectively.

Instructions

(a) Journalize the transactions and post to the accounts Debt Investments and Stock Investments. (Use the T-account form.)

Using a chart like the one below, analyze the last two paragraphs of "The Harvest" and explain the theme of the story.

$$\begin{array} {|l|l|} \hline \text{Words From the Text} & \text{Insights}\\ \hline \text{ } & \text{ }\\ \hline \text{Theme:} \\ \hline \end{array}$$

Companies use many kinds of promotions to attract customers besides advertising. Which types of promotions work best at persuading you to buy?

Normally the post office processed letters at a rate of 2500 per hour. During the holiday season the rate tripled. How many hours did it take to process 60,000 letters during the holiday season?

On December 1, 2014, Boline Distributing Company had the following account balances.

$$\begin{array}{lclc} &\underline{\textbf{Debit}}&&\underline{\textbf{Credit}}\\[3pt] \text{Cash}&\text{\$\hspace{5pt}7,200}&\text{Accumulated Depreciation—Equipment}&\text{\$\hspace{5pt}2,200}\\ \text{Accounts Receivable}&\text{\hspace{10pt}4,600}&\text{Accounts Payable}&\text{\hspace{10pt}4,500}\\ \text{Inventory}&\text{\hspace{5pt}12,000}&\text{Salaries and Wages Payable}&\text{\hspace{10pt}1,000}\\ \text{Supplies}&\text{\hspace{10pt}1,200}&\text{Common Stock}&\text{\hspace{5pt}15,000}\\ \text{Equipment}&\underline{\text{\hspace{5pt}22,000}}&\text{Retained Earnings}&\underline{\text{\hspace{5pt}24,300}}\\ &\underline{\underline{\text{\$\hspace{1pt}47,000}}}&&\underline{\underline{\text{\$\hspace{1pt}47,000}}}\\ \end{array}$$

During December, the company completed the following summary transactions.

Dec.  6 Paid $1,600 for salaries due employees, of which$600 is for December and $1,000 is for November salaries payable.
      8 Received$1,900 cash from customers in payment of account (no discount allowed).
     10 Sold merchandise for cash $6,300. The cost of the merchandise sold was$4,100.
     13 Purchased merchandise on account from Gong Co. $9,000, terms 2/10, n/30.
     15 Purchased supplies for cash$2,000.
     18 Sold merchandise on account $12,000, terms 3/10, n/30. The cost of the merchandise sold was$8,000.
     20 Paid salaries $1,800.
     23 Paid Gong Co. in full, less discount.
     27 Received collections in full, less discounts, from customers billed on December 18.

Adjustment data:

1. Accrued salaries payable$800.
2. Depreciation $200 per month.
3. Supplies on hand$1,500.
4. Income tax due and unpaid at December 31 is $200.

Instructions

(c) Journalize and post adjusting entries.

Read "Secrets of the Slime Hag." by Frederie H. Martini (Scientific American, Oct. 1998, vol. 279, D? 70-75). What unusual method do slime hags use to repel attacks? Why is it risky to let the harvest of slime haga go unregulated?

What is a post-audit; why do firms use them; and what problems can arise when they are used?

Consider $h(x)=x^5-2 x^3+x$. Find the local maximum and minimum values.

Find the local maximum and minimum values of $f$.

$$f(x)=\left(x^2-1\right)^3$$

Explain how bleeding is naturally controlled after the placenta is expelled.

A rancher wants to build a fence for a square lot with dimensions of 50 yd by 50 yd. He wants to install a fence post every 5 yd with a post at each corner. How many fence posts will he need?

The year-end financial statements of Fighting Illini Financial Services are provided below.

$$\text{FIGHTING ILLINI} \\ \underline{\text{Income Statement}} \\ \begin{matrix} \text{Service revenue} & \text{ } & \text{\$89,700}\\ \text{Expenses:} & \text{ } & \text{ }\\ \text{Salaries} & \text{$\$ 50,000$} & \text{ }\\ \text{Supplies} & \text{10, 100} & \text{ }\\ \text{Rent} & \text{$8,500$} & \text{ }\\ \text{Delivery} & \underline{4,700} & \underline{73,300}\\ \text{Net income} & \text{ } & \underline{\underline{\$ 16,400}}\\ \end{matrix}$$

$$\text{FIGHTING ILLINI} \\ \underline{\text{Statement of Stockholders' Equity}} \\ \begin{matrix} \text{ } & \text{Common} & \text{Retained} & \text{Total}\\ \text{ } & \text{Stock} & \text{Earnings} & \text{S. Equity}\\ \text{Beg. bal.,} & \text{ } & \text{ } & \text{ }\\ \text{Jan. 1} & \text{$\$ 70,000$} & \text{$\$ 33,300$} & \text{$\$ 103,300$}\\ \text{Issue stock} & \text{$20,000$} & \text{ } & \text{$20,000$}\\ \text{Net income} & \text{ } & \text{$16,400$} & \text{$16,400$}\\ \text{Dividends} & \text{\_\_\_\_\_} & \underline{(7,000)} & \underline{(7,000)}\\ \text{Ending bal.,} & \text{ } & \text{ } & \text{ }\\ \text{Dec. 31} & \underline{\underline{\$ 90,000}} & \underline{\underline{\$ 42,700}} & \underline{\underline{\$ 132,700}}\\ \end{matrix}$$

$$\text{FIGHTING ILLINI} \\ \underline{\text{Balance Sheet}} \\ \begin{matrix} \underline{Assets} & \text{ } & \underline{Liabilities} & \text{ } & \text{ }\\ \text{Cash} & \text{\$7,600} & \text{Accounts payable} & \text{ } & \text{\$5,100}\\ \text{Accounts receivable} & \text{$10,200$} & \underline{\text{Stockholders' Equity:}} & \text{ } & \text{ }\\ \text{Land} & \text{$120,000$} & \text{Common stock} & \text{$\$ 90,000$} & \text{ }\\ \text{ } & \text{\_\_\_\_\_} & \text{Retained earnings} & \underline{42,700} & \underline{132,700}\\ \text{Total assets} & \underline{\underline{\$ 137,800}} & \text{Total liabs. and equities} & \text{ } & \underline{\underline{\$ 137,800}}\\ \end{matrix}$$

1. Record year-end closing entries. 2. Prepare a post-closing trial balance.

Find the surface area and volume of the given sphere.

a. radius = 5cm

b. radius = 3cm