The stockholders’ equity of All-Star Uniforms as of December 31, 2012 and 2011 follows:

$$\begin{matrix} & \text{2012} & \text{2011}\\ \text{Common stock, 2,000,000 shares authorized, 1,000,000 and 950,000 shares issued, respectively } & \text{\$ 100,000 } & \text{\$ 95,000 }\\ \text{Paid-in capital in excess of par} & \text{39,980,000 } & \text{37,905,000}\\ \text{Paid-in capital-treasury stock transactions } & \text{55,000 } & \text{50,000 }\\ \text{Retained earnings} & \text{67,000,000 } & \text{60,000,000 }\\ \text{Treasury stock, at cost, 20,000 and 25,000 shares, respectively } & \text{(792,000)} & \text{(990,000) }\\ \text{Total stockholders' equity} & \text{\$106,343,000} & \text{\$97,060,000}\\ \end{matrix}$$

What is the par value of the common stock? How many shares of common stock were outstanding at the end of 2012? As of December 31, 2012, what was the average price that stockholders paid for all common stock when issued? Prepare a summary journal entry to record the change in common stock during the year. What was the average price that stockholders paid for the common stock issued in 2012? What was the average price paid by All-Star for the treasury stock? Prepare a summary journal entry to record the change in treasury stock during the year. Assuming net income for 2012 was $10,000,000, prepare a summary journal entry to record the dividends declared during 2012.

Use identities to write each expression as a function of $\theta$. $\cos \left(270^{\circ}+\theta\right)$

Consider the sublimation of iodine at 25.0$^{\circ} \mathrm{C}$: $\mathrm{I}_{2}(s) \longrightarrow \mathrm{I}_{2}(g)$ a. Find $\Delta G_{\mathrm{rxn}}^{\circ}$ at 25.0 $^{\circ} \mathrm{C}$ b. Find $\Delta G_{\mathrm{rxn}}^{\circ}$ at 25.0 $^{\circ} \mathrm{C}$ under the following nonstandard conditions: i. $P_{l_2}$ = 1.00 mmHg. ii. $P_{l_2}$ = 0.100 mmHg. c. Explain why iodine spontaneously sublimes in open air at 25.0$^{\circ} \mathrm{C}$.

If you had the flu, how would you try to reduce the chances of spreading it to other members of your family?

The electromotive force E, in volts, in a certain ac (alternating circuit) circuit obeys the function $E(t)=120 \sin (120 \pi t), \quad t \geq 0$ where t is measured in seconds. What is the maximum value of E?

A $36-\mathrm{kg}$ child is moving on a $2.0-k g$ skateboard at speed $6.0 \mathrm{m} / \mathrm{s}$ when she comes to a ledge that is $1.2 \mathrm{m}$ above the surface below. Just before reaching the ledge, she pushes off the board. The board leaves the ledge moving horizontally and lands $8.0 \mathrm{m}$ horizontally from the edge of the ledge. Make a list of the physical quantities describing the motion of the child after leaving the ledge and determine two of them. Describe any assumptions you made.

One of the possible fission modes of Uranium-235 involves nearly equal fragments, palladium nuclei with $Q_{1}=Q_{2}=46e.$ The masses of the two palladium nuclei add up to less than the mass of the original nucleus. (In addition to the two main fission fragments there are typically one or more free neutrons in the final state; in your analysis make the simplifying assumption that there are no free neutrons, just two palladium nuclei. The mass of the U-236 nucleus is 235.996 u (unified atomic mass units), and the mass of each Pd-118 nucleus is 117.894 u, where $1 \mathrm{u}=1.7 \times 10^{-27} \mathrm{kg}$ (approximately the mass of one nucleon). Although in most problems you solve in this course it is adequate to use values of constants rounded to two or three significant figures, in this problem you must keep at least six significant figures throughout your calculation. Problems involving mass changes require many significant figures because the changes in mass are small compared to the total mass. The kinetic energy of the fast-moving daughter nuclei is eventually absorbed in the surrounding material and raises the temperature of that material. In a fission power plant, this thermal energy is used to boil water to drive a steam turbine and generate electricity. If a mole of uranium undergoes this fission reaction, how much kinetic energy is generated? For comparison, only around $1 \times 10^{6} \mathrm{J}$ are obtained from burning a mole of gasoline, which is why energy from fission is of great interest, if some way can be found to deal with the waste products.

Sketch the level curve of f(x, y) that passes through P and draw the gradient vector at P. f(x, y)=

$$y / x ^ { 2 }$$

; P(-2, 2)

Let X be a continuous random variable with PDF

$$f_{X}(x)=\left\{\begin{array}{ll}{1 / 8} & {1 \leq x \leq 9,} \\ {0} & {\mathrm { otherwise. }}\end{array}\right.$$

Let $Y=h(X)=1 / \sqrt{X}$. (a) Find E[X] and Var[X]. (b) Find h(E[X]) and E[h(X)]. (c) Find E[Y] and Var[Y].

Let Q(x, y) be a production function, where x and y represent units of labor and capital, respectively. If unit costs of labor and capital are given by p and q, respectively, then px + qy represents the total cost of production. Show that with the fixed production level $A x^{a} y^{\beta}=k,$ where k is a constant and $\alpha$ and $\beta$ are positive with $\alpha+\beta=1,$ the joint cost function C(x, y) = px + qy is minimized when $x=\frac{k}{A}\left(\frac{\alpha q}{\beta p}\right)^{\beta} \quad y=\frac{k}{A}\left(\frac{\beta p}{\alpha q}\right)^{\alpha}$

Identify a person in your school or community who has worked hard to achieve a specific goal. Interview that person and try to determine the motivation behind his or her success. Also find out if the person gave up anything or had to overcome obstacles to achieve his or her goal. Write a brief summarizing your findings.

How can the solar wind affect life on Earth?

On what intervals is the function positive? On what intervals is it negative?

Use your math skills and the formula below to answer the following questions. Suppose that the CPI for last year was 164 and that for this year it is 168. To calculate the inflation rate, use the following formula: CPI for Year A minus CPI for Year B divided by CPI for Year B multiplied by 100. For example. If the CPI for 2004 (Year A)=188.9 and the CPI for 2003 (Year B)=184.0 then, 188.9-184.0=4.9. 4.9$\div$184.0=.027. .027$\times$100=2.7. If the inflation rate were 10%, what would the CPI be for next year?