The Red Sox won the World Series on October 29, 2007. The stock market rose on the same day. The S&P 500 index (an index of the 500 largest corporations in the United States) closed at $1540.98$. Ten-year Treasury notes paid $4.38 \%$ on the government's 10-year obligations. The Fed was set to announce a quarter-point reduction in the fed funds rate to $4.75$ percent. Look up the S&P 500, the 10-year treasury interest rate, and the fed funds rate today. They can be found at http://money.cnn.com. Please explain what has happened to those three numbers since 2007.

Teresa won the Florida lottery and was given the option of receiving $\$22$ million right away or $\$1.250,000$ per year for the next 30 years. a. How much will Teresa receive in total if she chooses the 30 annual payments? b. Given a 4percent interest rate, what is the present value of the 30 annual payments? Should Teresa choose the upfront payment or the 30 instalments based on this value? c. Given an interest rate of 8percent, what is the present value of the 30 annual payments? Should Teresa choose the upfront payment or the 30 instalments based on this value?

Describe your college or university's capital stock. How would you go about determining its worth? Has your school recently made any significant investments?  If so, describe them. What does your school hope to gain from these investments?

Which of the following is a capital letter, and which is not? Explain your responses. a. A video poker game machine at a local bar that takes quarters b. A $\$ 10$ bill c. A college education d. The Golden Gate Bridge e. The shirts on the rack at Sears f. A government bond g. The Empire State Building h. A savings account i. The Washington Monument j. A Honda plant in Marysville, Ohio

Assume you were offered $2,000 to be delivered in one year. Assume you had the option of putting your money in a safe certificate of deposit that paid a 10percent annual interest rate. Would you be willing to pay$1,900 in exchange for $2,000 after a year? What is the most you would be willing to pay for the$2,000 offer? Assume the offer was $ 2,000, but delivery was to take two years rather than one. What is the highest amount you are willing to pay?

Use the following information. The altimeter in an airplane gives the altitude or height h (in feet) of a plane above sea level by measuring the outside air pressure P (in kilopascals). The height and air pressure are related by the model $P=101.3 e^{-\frac{h}{26,200}}$ Use the formula you found in Exercise 18 to approximate the height of a plane above sea level when the outside air pressure is 57 kilopascals.

Presented below is selected information related to the financial instruments of Dawson Company at December 31, 2020. This is Dawson Company's first year of operations.

$$\begin{array} {lcccc} &{\hspace{15pt}\text{Carrying }\hspace{15pt}}&{\hspace{10pt}\text{Fair Value}\hspace{10pt}}\\ &\underline{\hspace{10pt}\text{Amount}\hspace{10pt}}&\underline{\hspace{5pt}\text{(at December 31)}\hspace{5pt}}\\ \text{Investment in debt securities (intent is to hold to maturity)} &\ \text{\$40,000}&\text{\$41,000}\\ \text{Investment in Chen Company stock }& \text{{800,000}}&\text{{910,000}}\\ \text{Bonds payable}& \text{{220,000}}&\text{{195,000}}\\ \end{array}$$

Instructions

a. Dawson elects to use the fair value option for these investments. Assuming that Dawson's net income is $100,000 in 2020 before reporting any securities gains or losses, determine Dawson's net income for 2020. Assume that the difference between the carrying value and fair value is due to credit deterioration.

b. Record the journal entry, if any, necessary at December 31, 2020, to record the fair value option for the bonds payable.

The altimeter on a low-speed Piper Aztec reads 8000 ft. A Pitot tube mounted on the wing tip measures a pressure of 1650 lb/ft2. If the outside air temperature is $500^{\circ} \mathrm{R}$, what is the true velocity of the airplane? What is the equivalent airspeed?

Account for the fact that the ${ }^{29}$ Si NMR spectrum of a mixture of $\mathrm{SiCl}_4$ and $\mathrm{SiBr}_4$ that has been standing for $40 \mathrm{~h}$ contains five singlets which include those assigned to $\mathrm{SiCl}_4(\delta-19 \quad \mathrm{ppm})$ and $\mathrm{SiBr}_4$ $(\delta-90 \mathrm{ppm})$.

A company started and managed by business students is selling campus calendars. The students have conducted a market survey with the various campus constituents to determine sales potential and identify which market segments should be targeted. (Should they advertise in the Alumni Magazine and/or the local newspaper?) The next table displays the results of the market survey.

c) What percent of the respondents who are very likely to buy the calendar are alumni?

(Enhancing Class Rectangle) Modify class Rectangle to include a draw function that displays the rectangle inside a 25-by-25 box enclosing the portion of the first quadrant in which the rectangle resides. Include a set Fill Character function to specify the character out of which the body of the rectangle will be drawn. Include a set Perimeter Character function to specify the character that will be used to draw the border of the rectangle. If you feel ambitious, you might include functions to scale the size of the rectangle, rotate it, and move it around within the designated portion of the first quadrant.

Consider a three-dimensional ket space. If a certain set of orthonormal kets—say, $|1\rangle,|2\rangle,$ and $|3\rangle$—are used as the base kets, the operators A and B are represented by

$$A \doteq\left(\begin{array}{ccc}{a} & {0} & {0} \\ {0} & {-a} & {0} \\ {0} & {0} & {-a}\end{array}\right), \quad B \doteq\left(\begin{array}{ccc}{b} & {0} & {0} \\ {0} & {0} & {-i b} \\ {0} & {i b} & {0}\end{array}\right)$$

with a and b both real. (a) Obviously A exhibits a degenerate spectrum. Does B also exhibit a degenerate spectrum? (b) Show that A and B commute. (c) Find a new set of orthonormal kets that are simultaneous eigenkets of both A and B. Specify the eigenvalues of A and B for each of the three eigenkets. Does your specification of eigenvalues completely characterize each eigenket?

The results of a survey of 80 households in Westville are shown at the right. a. What is the probability distribution of the number of computers in Westville households? b. If Westville has 15,200 households, predict the number of households that will have exactly 3 computers. c. How many households will have either two or three computers?

$$\begin{array}{c} \\ \text{Computer Survey}\\ \begin{array}{|c|c|} \hline \text { Number of Computers } & \text { Frequency } \\ \hline 0 & 12 \\ \hline 1 & 29 \\ \hline 2 & 31 \\ \hline 3 & 6 \\ \hline \text { More than } 3 & 2 \\ \hline \end{array} \end{array}$$

Predict the number of households in Westville that will have exactly 3 computers. Showyourwork.

The chief administrator for a group of not-for-profit early education centers and outreach facilities has hired you to conduct an audit. A mission of the organization is to provide child care and early education to children in economically distressed areas of the county. The organization receives funds from several sources, including federal programs. The federal programs and the amount of funding expended from each program for the fiscal year are as follows:

Required

Use the OMB Compliance Supplement to answer the following questions:

OMB allows “cluster programs” to be considered as a single program when conducting the riskbased approach to selecting programs for audit under the single audit. Of the programs listed, which (if any) are part of the same cluster?