A pay phone at an airport charges $0.85 for the first four minutes (or part of ) and$0.34 for each extra minute (or part of). Express the cost c(m) of an m-minute phone call as a split function using the greatest integer function.

Use systematic elimination to solve the given system.

$$\begin{aligned} (D-2) x &-y=-e^{t} \\ -3 x+(D-4) y &=-7 e^{t} \end{aligned}$$

The Tech-N-Text phone company charges $48 for unlimited texting per month, or$0.16 per text message sent or received. For what amount of text messages would the unlimited plan cost the same as the per-text plan?

Carry out the indicated temperature conversions. a. $-201$ ' $\mathrm{F}$ to kelvins b. $-201^{\circ} \mathrm{C}$ to kelvins c. $351^{\circ} \mathrm{C}$ to Fahrenheit degrees d. $-150^{\circ} \mathrm{F}$ to Celsius degrees

The adjusted trial balance of Pelton Company at December 31, 2019, includes the following accounts: Wages Expense, $22,400; Service Revenue,$38,400; Rent Expense, $3,200; Dividends,$4,000; Retained Earnings, $12,200; and Prepaid Rent,$1,000.

Required:

Prepare a single-step income statement for Pelton for 2019.

Write equations for the following acid-base reactions. Label the conjugate acids and bases, and show any inductive stabilization. Predict whether the equilibrium favors the reactants or products. Try to do this without using a table of $\mathrm{p} K_{\mathrm{a}}$ values, but if you need a hint, you can consult Appendix 4.

(a) $\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{OH}+\mathrm{CH}_3 \mathrm{NH}$
(b) $\mathrm{F}_3 \mathrm{CCOONa}+\mathrm{Br}_3 \mathrm{C}-\mathrm{COOH}$
(c) $\mathrm{CH}_3 \mathrm{OH}+\mathrm{H}_2 \mathrm{SO}_4$
(d) $\mathrm{NaOH}+\mathrm{H}_2 \mathrm{~S}$
(e) $\mathrm{CH}_3 \mathrm{NH}_3^{+}+\mathrm{CH}_3 \mathrm{O}^{-}$
(f) $\mathrm{BrCH}_2 \mathrm{CH}_2 \mathrm{OH}+\mathrm{F}_3 \mathrm{C}-\mathrm{CH}_2 \mathrm{O}^{-}$
(g) $\mathrm{NaOCH}_2 \mathrm{CH}_3+\mathrm{Cl}_2 \mathrm{CHCH}_2 \mathrm{OH}$
(h) $\mathrm{H}_2 \mathrm{Se}+\mathrm{NaNH}_2$
(i) $\mathrm{CH}_3 \mathrm{CHFCOOH}+\mathrm{FCH}_2 \mathrm{CH}_2 \mathrm{COO}^{-}$
(j) $\mathrm{CF}_3 \mathrm{CH}_2 \mathrm{O}^{-}+\mathrm{FCH}_2 \mathrm{CH}_2 \mathrm{OH}$

A wireless phone company's Call-All phone plan has a basic charge per month, which includes a certain amount of gigabytes. There is a charge for each additional gigabyte. The split function below gives the price c(g) of using gigabytes for data. Fractions of a gigabyte are charged as if they were a full GB.

$$c(g)=\left\{\begin{array}{l}{59} \\ {59+16.50(g-6)} \\ {59+16.50[g-6]+1}\end{array}\right.$$

when $g \leq 6$, when g > 6 and g is an integer, when g > 6 and g is not an integer. a. Describe the cost of the Call-All phone plan by interpreting the split function. b. Find the monthly cost of the Call-All phone plan for someone that used 7.7GB.

Refer to the data below. Prepare journal entries for each of the transactions (a) through (f).

$$\begin{array}{cc} \begin{array}{rc} \begin{array}{r} \hspace{100pt} \text{Balance Sheet} \hspace{100pt}\\ \hline \end{array}\\ \begin{array}{lccccccccc} & \text{Cash} && \text{Noncash} && \text{Liabil-} && \text{Contrib.} && \text{Earned}\\ \text{Transaction} & \text{Asset} & + & \text{Assets} & = & \text{ltles} & + & \text{Capital} & = &\text{Capital}\\ \hline \text{a. Receive merchandise}\\ \text{inventory costing \$9,000,}\\ \text{purchased with cash.}&&& =\\ \text{b. Sell half of inventory in}\\ \text{(a) for \$7,500 on credit.}&&& =\\ \text{c. Place order for \$5,000 of}\\ \text{additional merchandise}\\ \text{inventory to be delivered}\\ \text{next month.}&&& =\\ \text{d. Pay employee \$4,000}\\ \text{for compensation earned}\\ \text{during the month.}&&& =\\ \text{e. Pay \$7,000 rent for use}\\ \text{of premises during the}\\ \text{month.}&&& =\\ \text{f. Receive full payment}\\ \text{from customer in part (b).} \end{array} \end{array} & \begin{array}{cc} \begin{array}{rc} \begin{array}{r} \hspace{50pt} \text{Income Statement} \hspace{50pt}\\ \hline \end{array}\\ \begin{array}{ccccc} &&&& \text{Net}\\ \text{Revenues} & - & \text{Expenses} & = & \text{Income}\\ \hline \\ \\ & -&& =\\ \\ & -&& =\\ \\ \\ \\ & -&& =\\ \\ \\ \\ \\ \\ & -&& =\\ \\ & -&& =\\ \end{array} \end{array} \end{array} \end{array}$$

Which of the following characteristics does not necessarily apply to an op-amp? (a) High gain, (b) Low power, (c) High input impedance, (d) Low output impedance

Are any of the vectors in the set

$$\begin{aligned} S=&\{(2,6,3,4,2),(3,1,5,8,3),(5,1,2,6,7)\\ &(8,4,3,2,6),(5,5,6,3,4)\} \end{aligned}$$

linear combinations of predecessors? Justify your answer.

Plot the point in a coordinate plane. Describe the location of the point. Q(4, - 5)

A flagpole is 30 feet high and a mailbox is 3.5 feet high. The mailbox casts a shadow that is 5.25 feet long. How long is the flagpole's shadow at the same time?

What does high morale contribute to in an organisation?

a. employee loyalty
b. high employee turnover
c. centralisation
d. low productivity
e. low returns to stakeholders

Consider the following information taken from Chicago Water Slide’s (CWS’s) financial statements:

$$\begin{aligned} &~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\textbf { September 30 (in thousands) }\\\hline &\begin{array}{lrr} & \mathbf{2 0 2 0} & \mathbf{2 0 1 9} \\ \hline \text { Current assets: } & & \\ \quad\text { Cash and cash equivalents } & \$~~~~2,548& \$12,900 \\ \quad\text { Receivables } & 60,142& 33,096\\ \quad\text { Inventories } & 63,592& 28,144\\ \quad\text { Other current assets } & \underline{~~~~~~9,636} & \underline{~~~~5,240}\\ \quad\quad \text { Total current assets } & \underline{\underline{\$135,918}}&\underline{\underline{\$79,380}} \\ & & \\ \text { Current liabilities: } & \\ \quad\text { Current portion of long-term debt } & \$~~~~~194&\$~~7,060\\ \quad\text { Accounts payable } & 46,248& 22,456\\ \quad\text { Accrued compensation costs } & 11,212& 3,858\\ \quad\text { Accrued expenses } & 18,216& 10,108\\ \quad\text { Other current liabilities } &\underline{~~~~1,748} & \underline{~~~~1,554} \\ \quad\quad \text { Total current liabilities } & \underline{\underline{\$ 38,809}} & \underline{\underline{\$ 45,036}} \\ \end{array} \end{aligned}$$

Also, CWS’s operating cash flows were $25,658 and$29,748 in 2019 and 2018, respectively. Note: Round all answers to two decimal places.

Required:

Provide some reasons why CWS’s liquidity may be considered to be improving and some reasons why it may be worsening.