A survey of several 8 to 10 year olds recorded the following amounts spent on a trip to the mall:

$11.83,$24.11,$19.93,$15.34

Construct the 99% confidence interval for the average amount spent by 8 to 10 year olds on a trip to the mall. Assume the population is approximately normal.

Shannon Industries is considering a project that has the following cash flows :   

The project has a payback of 2.25 years.
The firm’s cost of capital is 9.3 percent. What is the project’s net present value (NPV)?

At the beginning of the current fiscal year, the balance sheet of Cummings Co. showed liabilities of $439,000. During the year, liabilities decreased by $74,000, assets increased by $151,000, and paid-in capital increased by $15,000 to $381,000. Dividends declared and paid during the year were $123,000. At the end of the year, stockholders' equity totaled $751,000.

Required:
Calculate net income or loss for the year. (Amounts to be deducted should be indicated with a minus sign.)

1.) Ajax corporation has a project with a 10 year life and a $200,000 cost. The project is depreciated straight life over the life of the project. Other fixed costs amount to $400,000 and variable costs per unit are $30. If the company intends on selling 50,000 units and has a 10% return requirement, calculate the company’s financial break-even price

2.) Scorpio Inc. is a seafood company specializing in crayfish. Each pound of crayfish cost $25 to produce and can be sold for $100. The company has fixed overhead costs of $300,000 per year, and can claim depreciation of $50,000 per year. What is the cash break-even quantity of sales for Scorpio Inc.

3. The scores for all students taking the ACT test in a recent year are normally distributed with a mean of 21.0 and a standard deviation of 4.7.

1. If a student who takes the ACT is randomly selected, find the probability that their score is above 23.
2. If five ACT scores are randomly selected from the population of students who took the test, find the probability that all five of the scores are above 23. (Remember the Multiplication Rule from Chap 4)
3. If five students who took the ACT are randomly selected, find the probability that their mean score is above 23.
4. Find P₉₀, the score separating the bottom 90% from the top 10%.

Assume ABC Corp. pays the dividend of $4.55 this year. For the next 30 years, the firm's dividend will grow by 5.4%, then will grow by 4.7% each year afterwards. The required rate of return for the firm's industry is 10.8%. What is the present value of the firm's stock under the Dividend Discount Model?

Martin lives in South Carolina, and it has been a rough year for him. In May, Martin’s house caught on fire and he suffered a personal casualty loss of $4,500. Insurance, however, paid Martin $5,000 for the damages. Then, in September, Hurricane Florence destroyed his home, inflicting a $23,000 loss. If Martin’s AGI was $65,000 in 2018, how much can Martin deduct as casualty losses on Schedule A?

A company must make payments of $10 annually in the form of a 10- year annuity- immediate. It plans to buy two zero coupon bonds to fund these payments. The first bond matures in 2 years and the second bond matures in 9 years, and both are purchased to yield 10% effective. What face amount of each bond should the company buy in order to be immunized from small changes in the interest rate (redington immunization)?

Which of the following could be expressed as seconds of arc per year?

A. Radial velocity

B. Proper motion

C. Tangential velocity

D. Space velocity

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The proper motion of a star is

A. its tangential speed in km/s (measured in a direction perpendicular to the line of sight from the Earth to the star).

B. its radial speed in km/s (measured along the line of sight from the Earth to the star).

C. the diameter of the circle through which the star appears to move in the sky each year due to the motion of the Earth.

D. the angle through which the star moves across our sky per year.

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How can we tell that there is a binary system of stars even if we cant resolve both stars in a telescope?

A. The spectral class will vary with time in such a way to show two stars.

B. The luminosity class of the star will vary between giant and dwarf classifications.

C. Two sets of spectral lines will Doppler-shift red and blue opposite each other as time goes on.

D. The larger star will be stationary, but the smaller star will show a proper motion which will appear as a continuous Doppler shift.

E. The pair of stars’ luminosities will vary with time as they interact, and exchange matter.

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The spectra of spectroscopic binaries changes regularly due to

A. changes in the temperatures of the stars as they revolve.

B. changes in the size of the stars as they revolve.

C. changes in the absolute magnitudes of the stars as they revolve.

D. the Doppler effect.

E. [A, B, and C.]

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Of the following, which is the more fundamental quantity?

A. Absolute magnitude

B. Apparent magnitude

C. [They are equally fundamental.]

D. [No general statement can be made.]

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A star with an apparent magnitude of 3 emits ______ times as much energy as a star with an apparent magnitude of 5.

A. 0.6

B. 2

C. 2.5

D. 6.25

E. [The answer cannot be determined from the information given.]

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A star with an absolute magnitude of 3 emits_________ times as much energy as a star with an absolute magnitude of 5.

A. 0.6

B. 2

C. 2.5

D. 6.25

E. [The answer cannot be determined from the information given.]