: In an article published in the American Naturalist in November 1897, A. E. Dolbear wrote about his findings concerning crickets chirping and the temperature of the environment. He wrote, “The rate of chirp seems to be entirely determined by the temperature and this to such a degree that one may easily compute the temperature when the number of chirps per minute is known.” Also, “Below a temperature of 50°[F] the cricket has no energy to waste in music and there would be but 40 chirps per minute.” He presented the following data. At 60 °F, the rate is 80 chirps per minute and at 70 °F, the rate is 120 chirps per minute.

1. Design a table and record the pertinent values in the problem statement. ( 1 2 3 4 5 ) (5.5 pts)

2. Assume there is a linear relationship between the chirping rate, N, and the temperature T; make a sketch of a linear graph for the data in your table, with T on the y-axis and N on the x-axis. ( 1 2 3 4 5 ) (3.5 pts)

3. Using your graph, calculate the equation that gives the temperature as a function of the chirping rate. ( 1 2 3 4 5 ) (3.5 pts)

4. Using the equation that you derived above, calculate chirping rate you would expect to hear if the temperature was 59 °F. ( 1 2 3 4 5 ) (2.5 pts)

5. The Library of Congress (LOC) website (http://www.loc.gov/rr/scitech/mysteries/cricket.html) made the following observation, “To get a rough estimate of the temperature in degrees Fahrenheit, count the number of chirps in 15 seconds and then add 37. The number you get will be an approximation of the outside temperature.”

Write an equation (the LOC’s equation) for the approximation equation for the temperature from what you understand from the statement given by the LOC’s website. ( 1 2 3 4 5 ) (2.5 pts)

6. Calculate the chirping rate (in chirps per minute) using your LOC’s equation for the temperature of 59 °F. ( 1 2 3 4 5 ) (3.5 pts)

7. Write a few sentences (no less than three sentences) to let me know how you would reconcile any difference between the chirping rate you calculated from the equation you derived and that calculated from the LOC’s equation. ( 1 2 3 4 5 ) (4.5 pts)

Williams Auto has a machine that installs tires. The machine is now in need of repair. The machine originally cost $10,200 and the repair will cost $1,200, but the machine will then last two years. The labor cost of operating the machine is $0.45 per tire. Instead of repairing the old machine, Williams could buy a new machine at a cost of $5,200 that would also last two years; the labor cost would then be reduced to $0.25 per tire. Williams expects to install 10,200 tires in the next two years.

a. Determine the total (two-years) cost for both repairing and replacing the machine.

b. Should Williams repair or replace the machine?

• Repair

• Replace

Consider the meaning of these two statements to you. Discuss....How do these relate to the Emancipation Proclamation?

"Any attempt now to separate the freedom of the slave from the victory of the government; any attempt

to secure peace to the whites while leaving the blacks in chains will be labor lost."

Frederick Douglass (1862)

"My paramount object in this struggle is to save the union, and is not either to save or destroy slavery"

Abe Lincoln (1862)

Given the following information, use Table B.4 in Appendix B to determine whether the correlations are significant and how you would interpret the results.

1. The correlation between speed and strength for 20 women is .567. Test these results at the .01 level using a one-tailed test.

2. The correlation between the number correct on a math test and the time it takes to complete the test is -.45. Test whether this correlation is significant for 80 children at the .05 level of significance. Choose either a one- or two-tailed test and justify your choice.

3. The correlation between the number of friends and grade point average (GPA) for 50 adolescents is .37. Is this significant at the .05 level for a two-tailed test?

Quantitative Problem: At the end of last year, Edwin Inc. reported the following income statement (in millions of dollars):

Sales $4,100.00

Operating costs excluding depreciation 3,011.00

EBITDA $1,089.00

Depreciation 300.00

EBIT $789.00

Interest 150.00

EBT $639.00

Taxes (40%) 255.60

Net income $383.40

Looking ahead to the following year, the company's CFO has assembled this information:

• Year-end sales are expected to be 6% higher than $4.1 billion in sales generated last year.
• Year-end operating costs, excluding depreciation, will equal 60% of sales.
• Depreciation costs are expected to increase at the same rate as sales.
• Interest costs are expected to remain unchanged.
• The tax rate is expected to remain at 40%.

On the basis of this information, what will be the forecast for Edwin's year-end net income? Enter your answers in millions. For example, an answer of $10,550,000 should be entered as 10.55. Enter all values as positive numbers. Do not round intermediate calculations. Round your answers to two decimal places.

You are attempting to value a call option with an exercise price of $75 and one year to expiration. The underlying stock pays no dividends, its current price is $75, and you believe it has a 50% chance of increasing to $95 and a 50% chance of decreasing to $55. The risk-free rate of interest is 10%. Based upon your assumptions, calculate your estimate of the the call option's value using the two-state stock price model. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

50. Falzone Company has two shareholders, Rita and Sal Corporation. Rita acquired her 300 shares in 2003 for $30,000 and Sal Corporation acquired its 200 shares in 1999 for $15,000. On August 2, 2013, Falzone Company sold one of its businesses that it had held since 1999. Due to this sale, Falzone Company redeemed 50 shares from each shareholder in exchange for $20,000 each. Falzone’s E&P at the time of the redemption was $250,000. What are the tax consequences of this transaction to Rita and Sal Corporation?

You are attempting to value a call option with an exercise price of $75 and one year to expiration. The underlying stock pays no dividends, its current price is $75, and you believe it has a 50% chance of increasing to $95 and a 50% chance of decreasing to $55. The risk-free rate of interest is 10%. Based upon your assumptions, calculate your estimate of the the call option's value using the two-state stock price model. (Do not round intermediate calculations. Round your answer to 2 decimal places.)  

Value of the call            $   

1. Rader Tire has the following results for the last six periods. Calculate and compare the betas using each index. Do not round intermediate calculations. Round your answers to three decimal places.

   	RATES OF RETURN
   Period	Rader Tire (%)		Proxy Specific Index (%)		True General Index (%)
   1	29		14		16
   2	13		12		12
   3	-11		-7		-9
   4	18		12		20
   5	20		20		26
   6	-5		-8		0

   β_{using proxy}:

   β_{using true}:

2. If the current period return for the market is 12 percent and for Rader Tire it is 13 percent, are superior results being obtained for either index beta? Do not round intermediate calculations. Round your answers to two decimal places.

   E(R_R)_{using proxy}:   %

   E(R_R)_{using true}:   %

   Rader’s performance would be -Select-inferior compared to eithersuperior compared to eithersuperior compared to true and inferior compared to proxysuperior compared to proxy and inferior compared to trueItem 6 .

1. Sassy has been advised by her financial planner to invest $30,000 today in an ETF Sustainable Fund. If the fund earns 6% annual return with quarterly compounding, to what amount will her investment grow in 10 years?

Group of answer choices

53,725.43

66,241.19

308,571.54

54,420.55

2

Eduardo is planning to invest $10,000 in a mutual fund at the end of each of the next 10 years. If his opportunity cost rate is 7% compounded annually, how much will his investment be worth after the last annuity payment is made?

Group of answer choices

147,835.99

62,889.46

100,000.00

138,164.48

3

Happy purchased a new jeep today for $35,000. It was financed by using a five-year loan with an 8% simple annual interest rate compounded monthly. How much will Happy owe on his vehicle loan after making payments for two years? (Hint: First find the monthly payment).

Group of answer choices

$25,186.08

$22,590.77

$21,946.80

$22,646.97