Suppose Anna and Carl travel to planet Y a distance of 27 LY away, and suppose they travel at 0.9c. Assume Bob remains at Earth. Anna approaches Planet Y from earth in one direction while Carl approaches Planet Y in the exact same distance away as Anna is, but approaches in the opposite direction. Answer the following questions (Explain fully to get full credit. Show any calculations):

(a) In Bob’s frame, Anna takes (27 LY)/0.9 = 30 years to get to Planet Y. In Anna’s frame, how many years does it take to get to Planet Y?

(b) As in the example in class, Carl and Anna pass each other at Planet Y each going 0.9c but in opposite directions. In Carl’s frame, how much has Bob aged since Carl passed Planet Y?

(c) Based on your answer in (b), what age would Carl conclude Bob was when he passed Planet Y?

(d) In Bob’s frame, how old is Bob when his 10th birthday message reaches Planet Y?

(e) In Carl’s frame, how long does it take Bob’s 10th birthday image to get from Earth to Planet Y? If Carl then calculates the time elapsed in Bob’s frame for the message to get to him, what will he conclude about how old Bob was when he was at Planet Y?

(f) In Anna’s frame, how long does it take the 10th birthday message to get from Earth to Planet Y?

(g) Since Anna knows about time dilation, she calculates how much time it took for the message to get from Earth to her at Planet Y. What would she conclude about Bob’s age when she was at Planet Y?

(h) In Carl’s frame, how long does it take for the 10th birthday message to get from Earth to Planet Y? What does he conclude about Bob’s age when he passed Planet Y?

In the Betz limit the maximum efficency of a wind turbine is Cp=16/27. When the rotation of the wake is included, the maximum efficiency decreases. Explain why this makes phyiscal sense.

Bionca buys a 14-year bond with semiannual coupons of $27 each and a redemption value of $1310. She bought the bond to yield 6% compounded semiannually. Determine the book value of this bond 8 years after issue of the bond.

One study reports that 27 ​% of newly hired MBAs are confronted with unethical business practices during their first year of employment. One business school dean wondered if her MBA graduates had similar experiences. She surveyed recent graduates from her​ school's MBA program to find that 24 ​% of the 115 graduates from the previous year claim to have encountered unethical business practices in the workplace What is the value of the test​ statistic? A. The assumptions and conditions are not​ met, so the test cannot proceed. B. The test statistic is nothing . ​(Round to two decimal places as​ needed.)

A University found that 27% of its graduates have taken an introductory statistics course. Assume that a group of 15 graduates have been selected.

1. Compute the probability that from this group, there are exactly 2 graduates that have taken an introductory statistics course.
2. Compute the probability that from this group, there are at most 3 graduates that have taken an introductory statistics course.
3. Compute the probability that from this group, there are at least 4 graduates that have taken an introductory statistics course.
4. Compute the expected number, the variance and the standard deviation of graduates that have taken an introductory statistics course.

The Robinson Corporation has $27 million of bonds outstanding that were issued at a coupon rate of 10.950 percent seven years ago. Interest rates have fallen to 10.250 percent. Mr. Brooks, the Vice-President of Finance, does not expect rates to fall any further. The bonds have 17 years left to maturity, and Mr. Brooks would like to refund the bonds with a new issue of equal amount also having 17 years to maturity. The Robinson Corporation has a tax rate of 30 percent. The underwriting cost on the old issue was 2.70 percent of the total bond value. The underwriting cost on the new issue will be 1.80 percent of the total bond value. The original bond indenture contained a five-year protection against a call, with a call premium of 6 percent 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 for an approximate answer but calculate your final answer using the formula and financial calculator methods. Assume the discount rate is equal to the aftertax cost of new debt rounded up to the nearest whole percent (e.g. 4.06 percent should be rounded up to 5 percent)

a. Compute the discount rate. (Do not round intermediate calculations. Input your answer as a percent rounded up to the nearest whole percent.)
  

b. Calculate the present value of total outflows. (Do not round intermediate calculations and round your answer to 2 decimal places.)
  

c. Calculate the present value of total inflows. (Do not round intermediate calculations and round your answer to 2 decimal places.)
   

d. Calculate the net present value. (Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places.)
  

Colin is 40 years old and wants to retire in 27 years. His family has a history of living well into their 90s. Therefore, he estimates that he will live to age 95. He currently has a salary of $150,000 and expects that he will need about 75% of that amount annually if he were retired. He can earn 8 percent from his portfolio and expects inflation to continue at 3 percent. Some years ago, he worked for the government and expects to receive an annuity that will pay him $20,000 in today’s dollars per year beginning at age 67. The annuity includes a cost of living adjustment, which is equal to inflation. Colin currently has $200,000 invested for his retirement. His Social Security benefit in today’s dollars is $30,000 per year at normal age retirement of age 67. How much does he need to accumulate at age 67 exclusive of his pension and Social Security benefits? A. $2.1 million. B. $2.2 million. C. $2.8 million. D. $2.9 million.

Use the following information for questions 27-30: A researcher is creating a new treatment protocol for Myelodysplastic Syndrome (MDS), a form of preleukemia.  Following the old treatment protocol, 33% of patients with MDS will develop Leukemia within 5 years of MDS diagnosis.  He believes his new treatment protocol will lead to fewer MDS patients developing Leukemia.  He takes a random sample of 100 individuals on his new treatment protocol.  Of these 100 individuals, 27 develop Leukemia within 5 years of MDS diagnosis.  The researcher decides to conduct the appropriate hypothesis test using α (alpha) = 0.05.  Assume all conditions are met.

Which of the following below best describes the p-value?