In a population of anteaters in South Africa, T₁ and T₂ are autosomal, incompletely dominant alleles that control tongue length. The alleles are polymorphic in this population, with f(T₁) = 0.95 and f(T₂) = 0.05. Anteaters that have long tongues are T₁T₁, T₁T₂ individuals have medium-length tongues, and T₂T₂ individuals have short tongues. A disease that wipes out the ants with deep nests occurs in this ecosystem, exerting strong natural selection on the long-tongued anteaters (they are ineffective at eating ants from shallow nests). As a result, 100% of the short-tongued anteaters survive this change in food supply, 40% of the medium-tongued anteaters survive, and 10% of the long-tongued anteaters survive.

A) Assuming the population begins in Hardy-Weinberg equilibrium and consists of 1,000 individuals, how many long-, medium-, and short-tongued individuals would you expect to be present in the original population (before selection)?

B) Assuming the population begins in Hardy-Weinberg equilibrium, what are the allele frequencies after one round (the initial round) of natural selection?

C) Assuming random mating takes places among the survivors of this first round of selection, what are the genotype frequencies of their offspring (the second generation)?

In a population of anteaters in South Africa, T₁ and T₂ are autosomal, incompletely dominant alleles that control tongue length. The alleles are polymorphic in this population, with f(T₁) = 0.95 and f(T₂) = 0.05. Anteaters that have long tongues are T₁T₁, T₁T₂ individuals have medium-length tongues, and T₂T₂ individuals have short tongues. A disease that wipes out the ants with deep nests occurs in this ecosystem, exerting strong natural selection on the long-tongued anteaters (they are ineffective at eating ants from shallow nests). As a result, 100% of the short-tongued anteaters survive this change in food supply, 40% of the medium-tongued anteaters survive, and 10% of the long-tongued anteaters survive.

D) The deep-nesting ants have gone extinct and tongue length remains a trait under selection in the second generation of anteaters as in the initial population (i.e., same proportion of survivors). What are the allele frequencies in the surviving population of the second generation of anteaters when they begin to mate?

E) What will the equilibrium frequencies of T₁ and T₂ become (after many generations), given the permanent change in the anteater’s food supply? Briefly explain your reasoning.

Nazira is employed as a Malaysian chef at Gossip Gees restaurant at South Bank, which is owned by George Calamari. Her supervisor, Charlie, greatly enjoys Nazira’s company, and touches her hair at every opportunity and continually asks her to have sexual relationship with him. Nazira greatly dislikes this, and has asked Charlie to stop or she will make a complaint. One day in the restaurant kitchen, Charlie puts his arm around Nazira’s waist. She was furious, left the kitchen and walked straight to the manager George Calamari who was at the restaurant bar. George did not take her complaints seriously because Charlie is his cousin. George said to Nazira, “We took a gamble on you because you are supposed to be a brilliant chef. I should have known better than to hire a Malaysian woman. You’re all the same; you’re so sensitive and take offence at everything. You can’t work in a kitchen if you’re going to be offended by every little thing that happens! Get out of here, you’re fired! We should never hire Malaysian women to work in this restaurant". As a result of being fired by George Calamari and enduring the humiliation of his criticism, Nazira is depressed and according to her doctor, she will not be fit to undertake any work for at least a month. Question 5 Using only the Anti-Discrimination Act 1991 (Qld) and the supporting common law, advise Nazira as to whether she can bring a complaint against George for direct and/or indirect discrimination. (You are NOT required to discuss exemptions, vilification, vicarious liability, procedure or remedies). Question 6 Nazira would like to know if she can sue Charlie for touching her body, and for his suggestive comments when she was working at the restaurant. Advise Nazira on this issue using only the Anti-Discrimination Act 1991 (Qld) and the supporting common law. As part of your answer, you should discuss the procedure Nazira must follow to lodge a claim, and what remedies (if any) are available to Nazira. (You do NOT need to discuss direct or indirect discrimination, exemptions, or vicarious liability for this question.)

3. A company owned exclusively by residents in the New South Wales coastal community

   of Coffs Harbour is offered three projects for which the cash flows are as per the table

   below in thousands of dollars. The directors work on 12 per cent as their RRR. Assume

   all cash flows occur at the end of the relevant years. There are no salvage values factored

   into the expected cash flows, and no salvage values are expected.

Project Year 0   Year 1   Year 2   Year 3   Year 4   Year 5

A           -900      300         260        300         220        140

B           -800       180         180        240         260        260

C           -820       500         120        120         120        380

Required:

1. Calculate the Accounting Rate of Return, Payback Period and Net Present Value for each project. Show workings.

2. Rank the projects and advise the directors which projects, if any, to accept. Give

              your reasons.

Show all calculations

Researchers at the University of South Alabama compared the attitudes of male college students towards their fathers with their attitudes toward their mother. Each of a sample of 13 males was asked to give a numerical grade to describe his relationship with his father and a numerical grade to describe his relationship with his mother, with 1 being the lowest and 5 being the highest. The result is reported as follows:

Assuming that the data is Normal, construct a 99% confidence
interval for the difference between male college students' attitude between their father and mother. Round your answer to 3 decimal places.

Group of answer choices

(-1.183,-0.563)

(-0.529,0.071)

(-1.336,0.736)

(-1.183,0.563)

(-1.343,0.743)

The foreclosure crisis has been particularly devastating in housing markets in much of the south and west United States, but even when analysis is restricted to relatively strong housing markets the numbers are staggering. For example, in 2017 an average of three residential properties were auctioned off each weekday in the city of New York, up from an average of one per week in 2011. Use Excel functions to compute the probabilities. Write the Excel function to the solution.

1. What is the probability that exactly four foreclosure auctions occurred on a randomly selected weekday of 2017 in New York?
2. What is the probability that at least one foreclosure auction occurred in New York on a randomly selected weekday of 2017?
3. What is the probability that no more than two foreclosure auctions occurred on a randomly selected weekday of 2017 in New York?
4. What is the probability that exactly 10 foreclosure auctions occurred during a randomly selected five-day week in 2017 in New York?

A trooper is moving due south along the freeway at a speed of 33 m/s. At time t = 0, a red car passes the trooper. The red car moves with constant velocity of 45 m/s southward. At the instant the trooper's car is passed, the trooper begins to speed up at a constant rate of 1.5 m/s2. What is the maximum distance ahead of the trooper that is reached by the red car? m

I bought a new car recently -- a Kia Forte. Kia, of course, is a South Korean company. The price sticker says 2% of the parts in my car were made in the US or Canada, 55% were made in Mexico, and 43% were made in Korea. Final assembly of the vehicle was in Mexico. I bought it at a dealership here in Phoenix. So which country gets GDP credit for this car? Why?

Deutche Bank

South African firm applied for a revolving letter of credit in favor of a German exporter at a branch of Barclays Bank in Johannesburg. The letter of credit was issued covering shipments of pharmaceuticals and was confirmed by Deutsche Bank in Germany. Shipments proceeded with no problem, growing larger and more frequent. Barclays increased the amount of the letter of credit on several occasions to accommodate the growing business. To Barclays’ knowledge, their account party had always taken possession of the goods and sold them quickly for a profit. Barclays was pleased with their customer’s history and increased their financing. In the last shipment, the largest of all, Deutsche Bank honored the seller’s sight draft for the full amount of the letter of credit and presented the documents to Barclays. While Barclays was inspecting the documents, it learned that the South African buyer had ceased business. In the meantime, Deutsche Bank discovered that the seller has ceased business also. On inspection by Barclays, the cargo containers were found to contain only worthless junk. The investigative reports placed both buyer and seller as now being in Brazil.

Explain what happened in this case?

What are the rights and liabilities of the advising and confirming banks in this case?

Who is ultimately liable in this case?

Who will end up paying in this case?

How should banks handle problems like this?

Nazira is employed as a Malaysian chef at Gossip Gees restaurant at South Bank, which is owned by George Calamari. Her supervisor, Charlie, greatly enjoys Nazira’s company, and touches her hair at every opportunity and continually asks her to have sexual relationship with him. Nazira greatly dislikes this, and has asked Charlie to stop or she will make a complaint. One day in the restaurant kitchen, Charlie puts his arm around Nazira’s waist. She was furious, left the kitchen and walked straight to the manager George Calamari who was at the restaurant bar. George did not take her complaints seriously because Charlie is his cousin. George said to Nazira, “We took a gamble on you because you are supposed to be a brilliant chef. I should have known better than to hire a Malaysian woman. You’re all the same; you’re so sensitive and take offence at everything. You can’t work in a kitchen if you’re going to be offended by every little thing that happens! Get out of here, you’re fired! We should never hire Malaysian women to work in this restaurant". As a result of being fired by George Calamari and enduring the humiliation of his criticism, Nazira is depressed and according to her doctor, she will not be fit to undertake any work for at least a month. Question 5 Using only the Anti-Discrimination Act 1991 (Qld) and the supporting common law, advise Nazira as to whether she can bring a complaint against George for direct and/or indirect discrimination. (You are NOT required to discuss exemptions, vilification, vicarious liability, procedure or remedies). Question 6 Nazira would like to know if she can sue Charlie for touching her body, and for his suggestive comments when she was working at the restaurant. Advise Nazira on this issue using only the Anti-Discrimination Act 1991 (Qld) and the supporting common law. As part of your answer, you should discuss the procedure Nazira must follow to lodge a claim, and what remedies (if any) are available to Nazira. (You do NOT need to discuss direct or indirect discrimination, exemptions, or vicarious liability for this question.)