In each blank next to the following terms, place the identifying letter of its best description.

$$\begin{matrix} \text{\_\_\_\_\_\_\_ 1. Cost center} & \text{A. Incurs costs without directly yielding revenues}\\ \text{\_\_\_\_\_\_\_ 2. Investment center} & \text{B. Provides information used to evaluate the performance of a department.}\\ \text{\_\_\_\_\_\_\_ 3. Departmental accounting system} & \text{C. Holds manager responsible for revenues, costs, and investments.}\\ \text{\_\_\_\_\_\_\_ 4. Operating department} & \text{D. Engages directly in manufacturing or in making sales directly to customers.}\\ \text{\_\_\_\_\_\_\_ 5. Profit center} & \text{E. Does not directly manufacture products but contributes to profitability of the entire company}\\ \text{\_\_\_\_\_\_\_ 6. Responsibility accounting system} & \text{F. Incurs costs and also generates revenues.}\\ \text{\_\_\_\_\_\_\_ 7. Service department} & \text{G. Provides information used to evaluate the performance of a department manager.}\\ \end{matrix}$$

Use geometry drawing software to draw l line ℓ and a line m parallel to ℓ. Then draw ΔABC so that C is on line ℓ and A̅B̅ is on line m. Find the base AB, the height CD, and the area of ΔABC. Move point C to change the shape of ΔABC. What do your notice about the base, height, and area of ΔABC?

Use the Second Fundamental Theorem of Calculus to find F’(x). F(x) = ∫_(-3)^x (t²+3t+2) dt

A consultant has three sources of income—from teaching short courses, from selling computer software, and from advising on projects. His expected annual incomes from these sources are $20,000,$25,000, and $15,000, and the respective standard deviations are$2,000, $5,000, and$4,000. Assuming independence, find the mean and standard deviation of his total annual income.

Determine the number of significant figures in each measurement. 508.0 L

The following situations suggest a strength or a weakness in internal control.

a. Top managers delegate all internal control procedures to the accounting department. b. Accounting department staff (or the bookkeeper) orders merchandise and approves invoices for payment. c. Cash received over the counter is controlled by the sales clerk, who rings up the sale and places the cash in the register. The sales clerk matches the total recorded by the register to each day's cash sales. d. The employee who signs checks need not examine the payment packet because he is confident the amounts are correct.

Requirements

1. Define internal control.
2. The system of internal control must be tested by external auditors. What law or rule requires this testing?
3. Identify each item in the list above as either a strength or a weakness in internal control, and give your reason for each answer.

Lauhl Corporation provides janitorial services to several office buildings. During April, Lauhl engaged in the following transactions:

a. On April 1, Lauhl received $24,000 from Metro Corporation to provide cleaning services over the next 6 months.

b. On April 5, Lauhl purchased and received$8,500 of supplies on credit from Eagle Supply Company. During the month, Lauhl paid $5,000 to Eagle and used$1,300 of the supplies.

c. On April 20, Lauhl performed one-time cleaning services of $2,500 for Jones Company. Jones paid Lauhl the full amount on May 10.

d. On April 30, Lauhl paid employees wages of$3,400. An additional $850 was owed to employees for work performed in April.

Required:

Calculate the amount of net income that Lauhl should recognize in April under (1) cash-basis accounting and (2) accrual-basis accounting.

Convert to radians, correct to 3 significant figures: $396.7^{\circ}$

Use calculus to sketch the graph of the given function. $f(x)=3 x^{5}-5 x^{3}+4$

Use dynamic geometry software. a. Draw any segment and label it $\overline { A B }$. Construct the perpendicular bisector of $\overline { A B }$. b. Label a point C that is on the perpendicular bisector of $\overline { A B }$ but is not on $\overline { A B }$. c. Draw $\overline { C A } \text { and } \overline { C B }$ and find their lengths. Then move point C to other locations on the perpendicular bisector and note the lengths of $\overline { C A } \text { and } \overline { C B }$.

Solve the following initial value problems and leave the solution in implicit form. Use graphing software to plot the solution. If the implicit solution describes more than one function, be sure to indicate which function corresponds to the solution of the initial value problem.`$y^{\prime}(t)=\frac{2 t^{2}}{y^{2}-1}, y(0)=0$

Solve the following initial value problems an.d leave the solution in implicit form. Use graphing software to plot the solution.. If the implicit solution. describes more than one function., be sure to indicate which fun.ct ion. corresponds to the solution. of the initial value problem. $y^{\prime}(t)=\frac{2 t^{2}}{y^{2}-1}, y(0)=0$

Recognizing The Three Degrees of Comparison. Identify the degree of comparison of each underlined modifier by writing $P$ for positive, $C$ for comparative, or $S$ for superiative on the line. The lecture hall is $\underline{larger}$ than the lounge.

Yard Designs (YD) experienced the following events in 2016, its first year of operation:

1. On October 1, 2016, YD collected $54,000 for consulting services it agreed to provide during the coming year.

2. Adjusted the accounts to reflect the amount of consulting service revenue recognized in 2016.

Required

Based on this information alone,

Record the events under an accounting equation.