Determine the (a) overhead, (b) net profit and (c) net-profit rate.

$$\scriptscriptstyle\begin{array}{|l|l|c|c|l|l|l|} \hline \text { Item } & \text { Markup } & \begin{array}{c} \text { Selling } \\ \text { Price } \end{array} & \begin{array}{c} \text { Overhead } \\ \text { Percent } \end{array} & \text { Overhead } & \text { Net Profit } & \begin{array}{c} \text { Net-Profit } \\ \text { Rate } \end{array} \\ \hline \text { Dishwasher } & \$ 239.56 & \$ 446.50 & 40 \% & \text { a. } & \text { b. } & \text { c. } \\ \hline \end{array}$$

Find the prime factorization of the number. 3190

For which of the following data sets would you expect a histogram to be skewed to the right? For which would it be skewed to the left?

$\textbf{a.}\hspace{10pt}$ Annual incomes for residents of a town

$\textbf{b.}\hspace{10pt}$ Amounts of time taken by students on a one-hour exam

$\textbf{c.}\hspace{10pt}$ Ages of residents of a town

Using the vocabulary list for this lesson, supply the correct word to complete each sentence.

The _____ people were forced to leave town to find work.

Write the prime factorization of the number. 26

a) Let $\left\{s_{n}\right\}$ be a sequence of step functions such that $s_{n} \rightarrow f$ everywhere on R. Prove that, for every real a, $f^{-1}((a,+\infty))=\bigcup_{n=1}^{\infty} \bigcap_{k=n}^{\infty} s_{k}^{-1}\left(\left(a+\frac{1}{n},+\infty\right)\right)$. b) If f is measurable on R, prove that for every open subset A of R the set $f^{-1}(A)$ is measurable.

The effectiveness E (on a scale from 0 to 1 ) of a pain-killing drug t hours after entering the bloodstream is given by

$$E=\frac{1}{27}\left(9 t+3 t^2-t^3\right), \quad 0 \leq t \leq 4.5 .$$

Find the average rate of change of $E$ on each indicated interval and compare this rate with the instantaneous rates of change at the endpoints of the interval. $[0,1]$

Cineplex Corporation is a diversified company that operates in five different industries: A, B, C, D, and E. The following information relating to each segment is available for 2021.

$$\begin{array} {lrrrrrrrrr} &\underline{\hspace{15pt}\text{A}\hspace{15pt}}&\underline{\hspace{15pt}\text{B}\hspace{15pt}}&\underline{\hspace{15pt}\text{C}\hspace{15pt}}&\underline{\hspace{15pt}\text{D}\hspace{10pt}}&\underline{\hspace{10pt}\text{E}\hspace{10pt}}\\ \text{Sales - net}\hspace{5pt} \ &\ \text{{\$\hspace{7pt}40,000}}&\text{{\$\hspace{7pt}75,000}}&\text{{\$\hspace{7pt}580,000}}&\text{{\$\hspace{7pt}55,000}}&\text{{\$\hspace{7pt}13,964}}\\ \text{Cost of goods sold}& \text{19,000}&\text{50,000}&\text{270,000}&\text{19,000}&\text{30,000}\\ \text{Operating expenses}\hspace{5pt}& \text{\underline{\hspace{13pt}{10,000}}}& \text{\underline{\hspace{13pt}{40,000}}}& \text{\underline{\hspace{13pt}{235,000}}}& \text{\underline{\hspace{13pt}{12,000}}}& \text{\underline{\hspace{13pt}{18,000}}}\\ \hspace{20pt}\text{Total expenses}\hspace{5pt}& \text{\underline{\hspace{13pt}{29,000}}}& \text{\underline{\hspace{18pt}{90,000}}}& \text{\underline{\hspace{8pt}{505,000}}}& \text{\underline{\hspace{13pt}{31,000}}}& \text{\underline{\hspace{13pt}{48,000}}}\\ \text{Operating profit (loss)}\hspace{5pt}& \underline{\underline{\$\hspace{8pt}\text{11,000}}}& \underline{\underline{\$\hspace{5pt}\text{(15,000)}}}& \underline{\underline{\$\hspace{8pt}\text{75,000}}}& \underline{\underline{\$\hspace{13pt}\text{4,000}}}& \underline{\underline{\$\hspace{13pt}\text{7,000}}}\\ \text{Identifiable assets}\hspace{5pt}& \underline{\underline{\$\hspace{8pt}\text{35,000}}}& \underline{\underline{\$\hspace{13pt}\text{80,000}}}& \underline{\underline{\$\hspace{3pt}\text{500,000}}}& \underline{\underline{\$\hspace{8pt}\text{65,000}}}& \underline{\underline{\$\hspace{8pt}\text{50,000}}}\\\\ \end{array}$$

Sales of segments B and C included intersegment sales of $20,000 and$100,000, respectively.

Instructions

a. Determine which of the segments are reportable based on the:

1. Revenue test.

2. Operating profit (loss) test.

3. Identifiable assets test.

b. Prepare the necessary disclosures required by GAAP.

Find the (a) overhead, (b) net profit, and (c) net-profit rate. Round answers to the nearest whole percent..

$$\scriptscriptstyle\begin{array}{|c|c|c|c|c|c|c|c|} \hline \text { Item } & \text { Markup } & \text { Selling Price } & \begin{array}{c} \text { Overhead } \\ \text { Percent } \end{array} & \text { Overhead } & \text { Net Profit } & \begin{array}{c} \text { Net-Profit } \\ \text { Rate } \end{array} \\ \hline \text { Basketball } & \$ 40.00 & \$ 50.00 & 30 \% & \text { a. } & \text { b. } & \text { c. } \\ \hline \end{array}$$

Complete the given below sentence by adding an appropriate adjective in the space provided.
Her best friend moved to a town in the _________part of the state.

Write the prime factorization of the number. 19,345

Which of the following is a sign that a game day tailgate party might be getting out of control?
A. The food ran out and there are still two hours until kick-off.
B. People are upset at the team because they are losing.
C. People are getting obnoxious and stumbling.
D. Both the first and third answers are appropriate.

Find the (a) overhead, (b) net profit, and (c) net-profit rate. Round answers to the nearest whole percent..

$$\scriptscriptstyle\begin{array}{|c|c|c|c|c|c|c|c|} \hline \text { Item } & \text { Markup } & \text { Selling Price } & \begin{array}{c} \text { Overhead } \\ \text { Percent } \end{array} & \text { Overhead } & \text { Net Profit } & \begin{array}{c} \text { Net-Profit } \\ \text { Rate } \end{array} \\ \hline \text { Jacket } & \$ 35.00 & \$ 70.00 & 25 \% & \text { a. } & \text { b. } & \text { c. } \\ \hline \end{array}$$

Select the best choice, and briefly indicate the reason for your choice:

a. Smallest radius: Sc Ti V

b. Greatest volume: $\mathrm{S}^{2-} \quad \mathrm{Ar} \quad \mathrm{Ca}^{2+}$

c. Lowest ionization energy: $\mathrm{K} \quad \mathrm{Rb} \quad \mathrm{Cs}$

d. Highest electron affinity: $\mathrm{Cl} \mathrm{Br} \mathrm{I}$

e. Most energy necessary to remove an electron:

$$\mathrm{Cu} \mathrm{Cu}^{+} \mathrm{Cu}^{2+}$$