The National Hockey League (NHL) has 80% of its players born outside the United States, and of those born outside the United States, 50% are born in Canada. Suppose that n=12 NHL players were selected at random. Let x be the number of players in the sample who were born outside of the United States so that p=.8. Find the following probabilities: a. At least five or more of the sample players were born outside the United States. b. Exactly seven of the players were born outside the United States. c. Fewer than six were born outside the United States.
In: Statistics and Probability
Kaye's Kitchenware has a market/book ratio equal to 1. Its stock price is $14 per share and it has 4.9 million shares outstanding. The firm's total capital is $130 million and it finances with only debt and common equity. What is its debt-to-capital ratio? Round your answer to two decimal places.
In: Finance
A capacitor consists of two 4.3-cm-diameter circular plates separated by 1.0 mm. The plates are charged to 130 V , then the battery is removed.
A) How much energy is stored in the capacitor?
| U_C = __J |
How much work must be done to pull the plates apart to where the distance between them is 2.0 mm?
W = _J
In: Physics
Product Profitability
Porter Insurance Company has three lines of insurance: automobile, property, and life. The life insurance segment has been losing money for the past five quarters, and Leah Harper, Porter’s controller, has done an analysis of that segment. She has discovered that the commission paid to the agent for the first year the policy is in place is 55 percent of the first-year premium. The second-year commission is 20 percent, and all succeeding years a commission equal to 5 percent of premiums is paid. No salaries are paid to agents; however, Porter does advertise on television and in magazines. Last year, the advertising expense was $500,000. The loss rate (payout on claims) averages 50 percent. Administrative expenses equal $450,000 per year. Revenue last year was $10,000,000 (premiums). The percentage of policies of various lengths is as follows:
| First year in force | 65% | ||
| Second year | 25 | ||
| More than two years in force | 10 |
Experience has shown that if a policy remains in effect for more than two years, it is rarely cancelled.
Leah is considering two alternative plans to turn this segment around. Plan 1 requires spending $250,000 on improved customer claim service in hopes that the percentage of policies in effect will take on the following distribution:
| First year in force | 50% | ||
| Second year | 15 | ||
| More than two years in force | 35 |
Total premiums would remain constant at $10,000,000, and there are no other changes in fixed or variable cost behavior.
Plan 2 involves dropping the independent agent and commission system and having potential policyholders phone in requests for coverage. Leah estimates that revenue would drop to $7,000,000. Commissions would be zero, but administrative expenses would rise by $1,200,000, and advertising (including direct mail solicitation) would increase by $1,000,000.
Required:
1. Prepare a variable-costing income statement for last year for the life insurance segment of Porter Insurance Company. Enter operating income as a positive amount. Enter an operating loss as a negative amount.
| Porter Insurance Company | |
| Variable-Costing Income Statement | |
| For the Last Year | |
| Sales | $ |
| Less: Variable expenses | |
| Contribution margin | $ |
| Less: Fixed expenses | |
| Operating income (loss) | $ |
2. What impact would Plan 1 have on
income?
Increases segment income by $__
3. What impact would Plan 2 have on
income?
Increases segment income by $__
In: Accounting
In: Accounting
With the growing popularity of casual surf print clothing, two recent MBA graduates decided to broaden this casual surf concept to encompass a “surf lifestyle for the home.” With limited capital, they decided to focus on surf print table and floor lamps to accent people’s homes. They projected unit sales of these lamps to be 7,800 in the first year, with growth of 8 percent each year for the following four years (Years 2 through 5). Production of these lamps will require $43,000 in networking capital to start. Total fixed costs are $103,000 per year, variable production costs are $25 per unit, and the units are priced at $50 each. The equipment needed to begin production will cost $183,000. The equipment will be depreciated using the straight-line method over a five-year life and is not expected to have a salvage value. The effective tax rate is 40 percent, and the required rate of return is 22 percent. What is the NPV of this project?
In: Finance
A study conducted by the Metro Housing Agency in a midwestern city revealed the following information concerning the age distribution of renters within the city. (Round your answers to four decimal places.)
| Age | Adult Population, % | Group Who Are Renters, % |
|---|---|---|
| 21-44 | 44 | 57 |
| 45-64 | 35 | 40 |
| 65 and over | 21 | 63 |
(a) What is the probability that an adult selected at random
from this population is a renter?
(b) If a renter is selected at random, what is the probability that
he or she is in the 21-44 age bracket?
(c) If a renter is selected at random, what is the probability that
he or she is 45 years old or older?
In: Statistics and Probability
alculate the child tax credit for the following taxpayers. Round any division "up" to the nearest whole number. a. Jeremy is a single (head of household) father with $80,100 of AGI and has a dependent 8-year-old son: $ b. Jerry and Ann have $100,000 of AGI, file jointly, and claim two dependent preschool children: $ c. James and Apple have AGI of $118,250, file jointly, and claim two dependent children (ages 7 and 10): $
In: Accounting
Dwyran Ltd. manufactures 3 components Alpha, Bravo and Charlie, on its new machine which has 60,000 hours available, with the 3 components being used to produce Delta which is a relatively new product and Dwyran Ltd. are trying to grow their market share. Dwyran Ltd. has orders for 5,000 units of each, from relatively established customers and Ruth is determined not to let these customers down. Other producers of the components have been sourced and Dwyran Ltd. are satisfied with the quality of these replacements and confident that they can buy them in if necessary.
The following information has been produced:
Each unit takes the following machine hours to make one unit of
each component:
Alpha: 3 hours Bravo: 5 hours Charlie: 6 hours
The variable cost per unit of component is:
Alpha: £40 Bravo: £60 Charlie: £50
The buy in purchase cost of each component is:
Alpha: £44 Bravo: £66 Charlie: £65
In order to maximise their profits how many units of each component should the company produce or buy in?
In: Accounting
Find the average, median and mode income of the residents Find interquartile range Find the mean deviation from the mean and median
The following data on income of residents generated from County X
|
Min |
Max |
No. of people |
|
1000 |
2000 |
28 |
|
2000 |
3000 |
52 |
|
3000 |
4000 |
45 |
|
4000 |
5000 |
35 |
|
5000 |
6000 |
63 |
|
6000 |
7000 |
130 |
|
7000 |
8000 |
110 |
|
8000 |
9000 |
62 |
|
9000 |
10000 |
55 |
|
10000 |
11000 |
38 |
|
11000 |
12000 |
35 |
|
12000 |
13000 |
50 |
|
13000 |
14000 |
55 |
|
14000 |
15000 |
88 |
|
15000 |
16000 |
60 |
|
16000 |
17000 |
35 |
|
17000 |
18000 |
30 |
|
18000 |
19000 |
22 |
|
19000 |
20000 |
7 |
In: Statistics and Probability