Two stars of mass M?1 and M?2<M?1 are orbiting eachother in a circular orbit. The heavy star experiences a supernova explosion, losing most of its mass in a spherically symmetric outflow (i.e. without losing angular momentum) and leaving behind a small neutron star of mass M??NS. Show that if the mass lost is larger then half of the total mass of the system, the binary is disrupted.
In: Physics
The Harding Corporation has $50 million of bonds outstanding that were issued at a coupon rate of 10.25 percent seven years ago. Interest rates have fallen to 9 percent. Preston Alter, the vice-president of finance, does not expect rates to fall any further. The bonds have 18 years left to maturity, and Preston would like to refund the bonds with a new issue of equal amount also having 18 years to maturity. The Harding Corporation has a tax rate of 25 percent. The underwriting cost on the old issue was 2.5 percent of the total bond value. The underwriting cost on the new issue will be 1.8 percent of the total bond value. The original bond indenture contained a five-year protection against a call, with an 8 percent call premium starting in the sixth year and scheduled to decline by one-half percent each year thereafter (Consider the bond to be seven years old for purposes of computing the premium). Use Appendix D. (Round "PV factor" to 3 decimal places.)
a. Compute the discount rate. (Round the final answer to 2 decimal places.)
Discount rate 6.75 6.75 Correct %
b. Calculate the present value of total outflows. (Do not round intermediate calculations. Enter the answers in whole dollars, not in millions. Round the final answer to nearest whole dollar.)
Total outflows $ 3436284 3436284 Incorrect
c. Calculate the present value of total inflows. (Do not round intermediate calculations. Enter the answers in whole dollars, not in millions. Round the final answer to nearest whole dollar.)
Total inflows $ 4801477 4801477 Correct
d. Calculate the net present value. (Do not round intermediate calculations. Round the final answer to nearest whole dollar.)
Net present value $ Not attempted
e. Should the Harding Corporation refund the old issue?
Yes
No
The Harding Corporation has $50 million of bonds outstanding that were issued at a coupon rate of 10.25 percent seven years ago. Interest rates have fallen to 9 percent. Preston Alter, the vice-president of finance, does not expect rates to fall any further. The bonds have 18 years left to maturity, and Preston would like to refund the bonds with a new issue of equal amount also having 18 years to maturity. The Harding Corporation has a tax rate of 25 percent. The underwriting cost on the old issue was 2.5 percent of the total bond value. The underwriting cost on the new issue will be 1.8 percent of the total bond value. The original bond indenture contained a five-year protection against a call, with an 8 percent call premium starting in the sixth year and scheduled to decline by one-half percent each year thereafter (Consider the bond to be seven years old for purposes of computing the premium). Use Appendix D. (Round "PV factor" to 3 decimal places.) a. Compute the discount rate. (Round the final answer to 2 decimal places.) Discount rate 6.75 6.75 Correct % b. Calculate the present value of total outflows. (Do not round intermediate calculations. Enter the answers in whole dollars, not in millions. Round the final answer to nearest whole dollar.) Total outflows $ 3436284 3436284 Incorrect c. Calculate the present value of total inflows. (Do not round intermediate calculations. Enter the answers in whole dollars, not in millions. Round the final answer to nearest whole dollar.) Total inflows $ 4801477 4801477 Correct d. Calculate the net present value. (Do not round intermediate calculations. Round the final answer to nearest whole dollar.) Net present value $ Not attempted e. Should the Harding Corporation refund the old issue? Yes No The The Harding Corporation has $50 million of bonds outstanding that were issued at a coupon rate of 10.25 percent seven years ago. Interest rates have fallen to 9 percent. Preston Alter, the vice-president of finance, does not expect rates to fall any further. The bonds have 18 years left to maturity, and Preston would like to refund the bonds with a new issue of equal amount also having 18 years to maturity. The Harding Corporation has a tax rate of 25 percent. The underwriting cost on the old issue was 2.5 percent of the total bond value. The underwriting cost on the new issue will be 1.8 percent of the total bond value. The original bond indenture contained a five-year protection against a call, with an 8 percent call premium starting in the sixth year and scheduled to decline by one-half percent each year thereafter (Consider the bond to be seven years old for purposes of computing the premium). Use Appendix D. (Round "PV factor" to 3 decimal places.) a. Compute the discount rate. (Round the final answer to 2 decimal places.) Discount rate 6.75 6.75 Correct % b. Calculate the present value of total outflows. (Do not round intermediate calculations. Enter the answers in whole dollars, not in millions. Round the final answer to nearest whole dollar.) Total outflows $ 3436284 3436284 Incorrect c. Calculate the present value of total inflows. (Do not round intermediate calculations. Enter the answers in whole dollars, not in millions. Round the final answer to nearest whole dollar.) Total inflows $ 4801477 4801477 Correct d. Calculate the net present value. (Do not round intermediate calculations. Round the final answer to nearest whole dollar.) Net present value $ Not attempted e. Should the Harding Corporation refund the old issue? Yes No
In: Finance
At the Three Little Pigs Processing Plant, the cooling step is a CCP and the critical limit is 1.5 hours to get from 130 to 80°F. Develop a corrective action record for the following deviation, a monitor finds one lot of hot dogs required 3 hours to cool from 130 to 80F. Detail what you have to/would do - be as detailed as possible.
In: Physics
Breakin Away Company has three employees-a consultant, a computer programmer, and an administrator. The following payroll information is available for each employee:
| Consultant | Computer Programmer | Administrator | ||||
| Regular earnings rate | $3,310 per week | $28 per hour | $40 per hour | |||
| Overtime earnings rate | Not applicable | 1.5 times hourly rate | 2 times hourly rate | |||
| Number of withholding allowances | 3 | 2 | 1 | |||
For the current pay period, the computer programmer worked 60 hours and the administrator worked 50 hours. The federal income tax withheld for all three employees, who are single, can be determined by adding $356.90 to 28% of the difference between the employee's amount subject to withholding and $1,796.00. Assume further that the social security tax rate was 6%, the Medicare tax rate was 1.5%, and one withholding allowance is $70.
Determine the The total earnings of an employee for a payroll period.gross pay and the Gross pay less payroll deductions; the amount the employer is obligated to pay the employee.net pay for each of the three employees for the current pay period. Assume the normal working hours in a week are 40 hours. If required, round your answers to two decimal places.
In: Accounting
The following table contains observed frequencies for a sample of 200.
| Column Variable | |||
| Row Variable | A | B | C |
| P | 20 | 44 | 50 |
| Q | 30 | 26 | 30 |
Test for independence of the row and column variables using a= .05
Compute the value of the test statistic (to 2 decimals).
In: Math
You are trying to price two bonds that have the same maturity
and par value but different coupon rates and different required
rates of return. Both bonds mature in 3 years and have par values
of $1000. One bond has a coupon rate of 7% and a required rate of
return of 7%. The other bond has a coupon rate of 5% and a required
rate of return of 5%. What is the absolute value of the difference
between the price of these two bonds?
$
You should set your calculator for at least four decimal places of
accuracy.
Place your answer in dollars and cents.
Do not include a dollar sign or comma in your answer.
In: Finance
An electronics firm manufactures two types of personal computers (PC), a desktop model and a laptop model. The production of a desktop computer requires a capital expenditure of $400 and 40 hours of labor. The production of a laptop computer requires a capital expenditure of $250 and 30 hours of labor. The firm has $20,000 capital and 2,160 labor-hours available for production of desktop and laptop computers. Each desktop computer contributes a profit of $320 and each laptop computer contributes a profit of $220.
What are the corner points of the feasible region if we want to maximize the profit?
(a) (50, 0),(30, 32),(0, 72) ;
(b) (50, 0),(54, 0),(30, 32) ;
(c) (0, 80),(0, 72),(30, 32) ;
(d) (0, 0),(50, 0),(30, 32),(0, 72) ;
(e) (0, 0),(50, 0),(0, 72) ;
What are the decision variables if we want to maximize the profit?
(a) x1, x2 and x3 ;
(b) number of desktop and number of laptop to be made ;
(c) x and y ;
(d) x, y and z ;
(e) x1 and x
In: Math
4-22 (Objectives 4-5 , 4-7) Each of the following situations involves a possible violation of the AICPA Code of Professional Conduct. For each situation, state the applicable rule of conduct and whether it is a violation.
Emrich, CPA, provides tax services, management advisory services, and bookkeeping services and also conducts audits for the same nonpublic client. Because the firm is small, the same person often provides all the services.
Steve Custer, CPA, set up a casualty and fire insurance agency to complement his auditing and tax services. He does not use his own name on anything pertaining to the insurance agency and has a highly competent manager, Jack Long, who runs it. Custer often requests Long to review the adequacy of a client’s insurance with management if it seems underinsured. He believes that he provides a valuable service to clients by informing them when they are underinsured.
Seven small Seattle CPA firms have become involved in an information project by taking part in an interfirm working paper review program. Under the program, each firm designates two partners to review the audit files, including the tax returns and the financial statements, of another CPA firm taking part in the program. At the end of each review, the auditors who prepared the working papers and the reviewers have a conference to discuss the strengths and weaknesses of the audit. They do not obtain authorization from the audit client before the review takes place.
Franz Marteens is a CPA, but not a partner, with three years of professional experience with Roberts and Batchelor, CPAs. He owns 25 shares of stock in an audit client of the firm, but he does not take part in the audit of the client, and the amount of stock is not material in relation to his total wealth.
A nonaudit client requests assistance of M. Wilkenson, CPA, in the installation of a local area network. Wilkenson has no experience in this type of work and no knowledge of the client’s computer system, so he obtains assistance from a computer consultant. The consultant is not in the practice of public accounting, but Wilkenson is confident of his professional skills. Because of the highly technical nature of the work, Wilkenson is not able to review the consultant’s work.
In preparing the personal tax returns for a client, Sarah Milsaps, CPA, observed that the deductions for contributions and interest were unusually large. When she asked the client for backup information to support the deductions, she was told, “Ask me no questions, and I will tell you no lies.” Milsaps completed the return on the basis of the information acquired from the client.
Roberta Hernandez, CPA, serves as controller of a U.S.-based company that has a significant portion of its operations in several South American countries. Certain government provisions in selected countries require the company to file financial statements based on international standards. Roberta oversees the issuance of the company’s financial statements and asserts that the statements are based on international financial accounting standards; however, the standards she uses are not those issued by the International Accounting Standards Board.
Archer Ressner, CPA, stayed longer than he should have at the annual holiday party of Ressner and Associates, CPAs. On his way home he drove through a red light and was stopped by a police officer, who observed that he was intoxicated. In a jury trial, Ressner was found guilty of driving under the influence of alcohol. Because this was not his first offense, he was sentenced to 30 days in jail and his driver’s license was revoked for one year.
In: Accounting
We assume that our wages will increase as we gain experience and become more valuable to our employers. Wages also increase because of inflation. By examining a sample of employees at a given point in time, we can look at part of the picture. How does length of service (LOS) relate to wages? The data here (data336.dat) is the LOS in months and wages for 60 women who work in Indiana banks. Wages are yearly total income divided by the number of weeks worked. We have multiplied wages by a constant for reasons of confidentiality.
(a) Plot wages versus LOS. Consider the relationship and whether
or not linear regression might be appropriate. (Do this on paper.
Your instructor may ask you to turn in this graph.)
(b) Find the least-squares line. Summarize the significance test
for the slope. What do you conclude?
| Wages = | + LOS |
| t = | |
| P = |
(c) State carefully what the slope tells you about the relationship
between wages and length of service.
This answer has not been graded yet.
(d) Give a 95% confidence interval for the slope.
( , )
worker wages los size 1 44.898 39 Large 2 85.8585 122 Small 3 37.6708 100 Small 4 44.1095 168 Small 5 47.756 25 Large 6 40.8481 22 Small 7 50.5179 27 Large 8 63.4659 70 Large 9 37.2126 86 Large 10 66.0707 95 Small 11 53.5897 56 Large 12 42.5586 18 Small 13 50.3493 129 Small 14 60.3041 75 Large 15 46.2348 93 Large 16 56.1494 23 Large 17 45.4136 15 Large 18 40.9541 44 Small 19 55.3183 26 Large 20 50.7934 58 Large 21 41.2603 79 Large 22 37.3516 19 Small 23 42.1137 30 Large 24 60.4141 88 Small 25 51.9331 119 Large 26 49.6191 20 Small 27 53.1292 116 Small 28 60.8961 62 Large 29 51.3743 31 Large 30 52.4964 42 Large 31 47.748 102 Small 32 47.1194 90 Large 33 60.6775 99 Large 34 70.5214 21 Small 35 39.4673 164 Large 36 50.4703 83 Large 37 66.2801 100 Large 38 62.3078 185 Small 39 43.79 18 Large 40 54.1258 56 Small 41 39.0053 174 Small 42 52.4289 59 Small 43 57.6612 89 Large 44 51.6591 17 Small 45 50.383 73 Large 46 38.2104 40 Small 47 52.421 78 Large 48 45.5227 55 Large 49 62.5477 53 Small 50 43.9493 58 Large 51 76.2546 87 Large 52 56.4322 110 Large 53 37.8525 64 Large 54 37.132 47 Small 55 50.4954 84 Small 56 49.1702 54 Large 57 41.8979 16 Small 58 45.3906 40 Large 59 57.8986 41 Small 60 40.3537 34 Large
In: Math
Suppose your research assistant screwed up and lost the information that linked the person’s identity across the two weight loss periods. This makes it impossible to run a paired t-test. Rather than start over:
a) Compute the mean and standard deviation of the two samples (2-pts)
b) Compute the two sample t-statistic (2pts)
c) How many degrees of freedom do you have(3pts)?
d) compute the P-value (4pts)
e) How does this P-value compare to the one you just computed using the paired ttest? (3pts))
Two Sample t-test (16pts):
Suppose you are interested in deciding if the 1990 Toyota Four Runner has been equally reliable as the 1990 Honda Passport. You go out a randomly sample of 5 people who own a 1990 Toyota and 5 other people who own a 1990 Honda and you ask them how often they have to take their vehicles in for maintenance. Here are your data (in thousands of miles):
Toyota: 30 35 32 34 30
Honda: 29 33 28 31 27
a) State the null and alternative hypotheses (2pts)
b) Compute the means and standard deviations of the two samples (2-pts)
c) Compute the two sample t-statistic (2 pts)
c) How many degrees of freedom do you have? (3pts)
d) Compute the P-value (4pts)
e) At an alpha = 0.05 would you accept or reject the null hypothesis? (3pts)
Please show work! thank you!
In: Math