On May 1, 2016, Ryde Inc. had common stock of $345,000, additional paid-in capital of$1,298,000, and retained earnings of $3,013,000. Ryde did not purchase or sell any common stock during the year. The company reported net income of$556,000 and declared dividends in the amount of $78,000 during the year ended April 30, 2017.

Required Prepare a financial statement that explains the differences between the beginning and ending balances for the accounts in the Stockholders’ Equity category of the balance sheet.

Write a flow proof.

Given: angle 2 and angle 3 are supplementary.

Prove: c || d

Clifford Company’s comparative balance sheet included dividends payable of $80,000 at December 31, 2016, and$100,000 at December 31, 2017. Dividends declared by Clifford during 2017 amounted to $400,000.

Required

1. Calculate the amount of dividends actually paid to stockholders during 2017.
2. How will Clifford report the dividend payments on its 2017 statement of cash flows?

The given function in the following exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at $8 \%$ compounded continuously and find the following: (a) the present value; (b) the accumulated amount of money flow at $t=10$.

$$f(x)=0.02 x+300$$

How can a glacier continue to flow toward its toe even though its toe is retreating?

Fresh water flows horizontally from pipe section 1 of cross-sectional area A underscore 1 into pipe section 2 of cross-sectional area A underscore 2. The given figure gives a plot of the pressure difference $p_{2}-p_{1}$ versus the inverse area squared $A_{1}^{-2}$ that would be expected for a volume flow rate of a certain value if the water flow were laminar under all circumstances. For the conditions of the figure, what are the values of the volume flow rate?

An equilibrium mixture of the following reaction was found to have $\left[\mathrm{SO}_3\right]=0.391$ $\mathrm{M}$ and $\left[\mathrm{O}_2\right]=0.125$ $\mathrm{M}$ at $600{ }^{\circ} \mathrm{C}$. What is the concentration of $\mathrm{SO}_2$ ?

$$\begin{gathered} \mathrm{N}_2(g)+3 \mathrm{H}_2(g) \rightleftharpoons 2 \mathrm{NH}_3(g) \\ K_{\mathrm{eq}}=4.34 \text { at } 600^{\circ} \mathrm{C} \end{gathered}$$

Which valve prevents the backward flow of blood into the left atrium when the left ventricle contracts?

Using curved arrows, display the flow of electrons in the reaction of each of the enols of 2-butanone with ${Cl}_2$.

if $P(x)=x^2+x+1$ and $Q(x)=5 x^2-1$ , find the following. See the discussed examples.

$$P(-4)$$

The accompanying figure shows a network of one-way streets with traffic flowing in the directions indicated. The flow rates along the streets are measured as the average number of vehicles per hour.

a. Set up a linear system whose solution provides the unknown flow rates.

b. Solve the system for the unknown flow rates.

c. Is it possible to close the road from $A$ to $B$ for construction and keep traffic flowing on the other streets? Explain.

Assume that the following amounts are known for Miles Company for the current year:

$$\begin{array}{lr} \text { Retained Earnings, beginning balance } & \$ 420,000 \\ \text { Retained Earnings, ending balance } & 500,000 \\ \text { Cash dividends declared } & 100,000 \\ \text { Fair value of large stock dividend declared } & 50,000 \\ \quad \text { Dividend Payable, beginning balance } & 90,000 \\ \quad \text { Dividend Payable, ending balance } & 80,000 \end{array}$$

Required

1. Assume that the only other amount that affected Retained Earnings during the year was the net income. Compute the net income for Miles Company for the current year.
2. Compute the amount of cash dividends actually paid in cash to stockholders during the year.

The differential equation $\frac{d y}{d x}=1-y$ can be solved using Eq. (2) in Section 9.2 and using Theorem 1 in this section. Show that both approaches lead to the same general solution.

Which leader do you think is more revolutionary-King or Malcolm $X$ ? THIHK ABOUT

$$\left\{\begin{array}{l}\cdot \text { what "revolutionary" means to you } \\ \cdot \text { each leader's arguments and results }\end{array}\right.$$