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
--------------------
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.
-----------------------------------
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.
------------------------------------------------
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.]
-----------------------------------------------
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.]
------------------------------------
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.]
-------------------------------------------
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.]
In: Physics
Calculate the NPV of a 20-year project with a cost of $300,000 and annual cash flows of $25,000 in years 1-10 and $50,000 in years 11-20. The company's required rate of return is 10%
In: Finance
ABC company is planning on increasing its annual dividend by 8 percent a year for the next 3 years and then decreasing the growth rate to 3 percent per year forever. The company just paid its annual dividend in the amount of $0.20 per share. What is the current value of one share of this stock if the required rate of return is 10 percent?
In: Finance
4. Suppose that an insurance company charges $1150
per year to cover a car in a nearby city. Suppose that there are
three different scenarios that the company has to consider:
a. There is a .0005 probability that the policy holder
will cause a fatality and the company will pay $1,000,000.
b. There is a .01 probability that the policy holder
will injure someone and the company will pay $20,000.
c. There is a .1 probability that the policy holder
will be in an accident and the company will pay $2,000.
What is the expected value for the policy and is it wise for the
company to continue to offer it?
In: Statistics and Probability
Let the number of tropical cyclones per year in the Atlantic Basin (?) have a discrete uniform between 5 to 15; i.e. ? ∈ {5, 6, … , 15} with ?X(?) = 1 /11. If each cyclone can turn into a major hurricane with probability 0.3; find the expected number of major hurricanes per year (?). Hint: Use the Law of Interated Expectation; ?[?] = ?[?[?|?]].
In: Statistics and Probability
The firm is planning to invest up to £65 million next year. The information about the available investment projects is given in the table below.
|
Project |
Initial investment, millions of £ |
Internal rate of return |
Net present value, millions of £ |
Profitability index |
|
A |
50 |
15% |
12 |
|
|
B |
35 |
19% |
15 |
|
|
C |
30 |
28% |
42 |
|
|
D |
25 |
26% |
1 |
|
|
E |
15 |
20% |
10 |
|
|
F |
10 |
37% |
11 |
|
|
G |
10 |
25% |
13 |
|
|
H |
1 |
18% |
0.1 |
Assuming the projects are not divisible, use the profitability index(PI) as a criterion to determine the value-maximizing combination of projects. Show the calculations of the profitability indexes in the final column of the table.
In: Accounting
Brighton investment is a Singapore resident company which had the following incomes for the year.
$
Trading profits in Singapore 1,500,000
Fixed deposit interest [UOB Singapore] 44,000
Gross royalty income for foreign countries:
- China 112,000
- Hong Kong 155,000
- Malaysia 35,000
- India 23,000
All the above foreign sourced income was remitted into Singapore on December 2019. Singapore has tax treaties with China, Malaysia and India but no treaty with Hong Kong. The withholding tax rates in foreign countries are: Malaysia - 8%
Hong Kong - 5.5%
China - 10%
India - 10%
Determine the final tax liability for Brighton Pte Ltd for the year of assessment 2020 after allowing the partial exemptions.
In: Accounting
Markus Company’s common stock sold for $5.25 per share at the end of this year. The company paid a common stock dividend of $0.63 per share this year. It also provided the following data excerpts from this year’s financial statements:
| Ending Balance |
Beginning Balance |
|||
| Cash | $ | 49,000 | $ | 44,200 |
| Accounts receivable | $ | 92,000 | $ | 68,700 |
| Inventory | $ | 76,300 | $ | 92,000 |
| Current assets | $ | 217,300 | $ | 204,900 |
| Total assets | $ | 801,000 | $ | 875,400 |
| Current liabilities | $ | 85,500 | $ | 90,000 |
| Total liabilities | $ | 206,000 | $ | 185,400 |
| Common stock, $1 par value | $ | 165,000 | $ | 165,000 |
| Total stockholders’ equity | $ | 595,000 | $ | 690,000 |
| Total liabilities and stockholders’ equity | $ | 801,000 | $ | 875,400 |
| This Year | ||
| Sales (all on account) | $ | 1,095,000 |
| Cost of goods sold | $ | 635,100 |
| Gross margin | $ | 459,900 |
| Net operating income | $ | 313,875 |
| Interest expense | $ | 15,500 |
| Net income | $ | 208,862 |
1. What is the company’s operating cycle?
a.What is the total asset turnover?
b. What is the times interest earned ratio?
c. What is the debt-to-equity ratio at the end of this year?
d. What is the equity multiplier?
In: Accounting
Prepare a comprehensive operational budget for Under Armour’s annual report for the year 2017 and for the coming year assuming a 20% increase in sales. Prepare a comprehensive financial budget for Under Armour’s annual report for the year 2017 and for the coming year assuming a 20% increase in sales. Budget should include income statement for the current year, showing the percentage of sales method. Budget should reflect profit/loss for the coming year, using the Income Statement usder the percentatge of sales method.
Annual report link http://files.shareholder.com/downloads/UARM/6363326125x0x975316/629B335B-1D9C-4AB2-918C-999D4C9A5555/2017_UA_Annual_Report.pdf
In: Finance
What is the return to the general partner assuming a one-year investment with the following parameters? Investment amount: $100,000. Exit price: $115,000. Interest only debt at 50% LTV and 6% interest. NOI of $8,000. Preferred equity of $25,000 and a preferred rate of 10% with 25% of profits above a 10% IRR going to the preferred equity.
In: Accounting