Answer:
20 student
Explanation:
Break even point = Fixed cost / Contribution
Break even point = $8,500 / $420
Break even point = 20.23809523809524
Break even point = 20 student
So, the enrollment will have to be for 20 student for the university to break even.
Olive Tree Products sold 86,000 units during the last period when industry volume totaled 334,000 units. The company originally expected to sell 89,000 based on a budgeted market share of 20 percent. The budgeted selling price was $59 per unit. Budgeted variable costs were $34 per unit. Budgeted fixed costs were $314,000 and applied based on units produced.
Required: Compute the sales activity variance, and break it down into market share variance and the industry volume variance
Answer: See explanation
Explanation:
Actual units sold = 86000
Budgeted units sold = 89000
Budgeted selling price = 59
Budgeted variable cost = 34
Budgeted contribution margin = 59 - 34 = 25
Budgeted market share = 20%
Acual industry volume = 334000
Standard units sold = 20% × 334000 = 66800
Sales activity variance:
= (Actual units sold - Budgeted units sold) × Budgeted contribution margin
= (86000 - 89000) × 25
= -3000 × 25
= 75000 Unfavorable
Market share variance will be:
= (86000 × 25) - (66800 × 25)
= 2150000 - 1670000
= 480000 Favorable
Industry volume variance:
= (66800 × 25) - (89000 × 25)
= 1670000 - 2225000
= 555000 Unfavorable
This information relates to Blossom Co..
1. On April 5, purchased merchandise from Sunland Company for $28,800, terms 4/10, n/30.
2. On April 6, paid freight costs of $620 on merchandise purchased from Sunland Company.
3. On April 7, purchased equipment on account for $34,200.
4. On April 8, returned $3,500 of April 5 merchandise to Sunland Company.
5. On April 15, paid the amount due to Sunland Company in full.
1. Prepare the journal entries to record the transactions listed above on Blossom Co.’s books. Blossom Co. uses a perpetual inventory system.
2. Assume that Blossom Co. paid the balance due to Sunland Company on May 4 instead of April 15. Prepare the journal entry to record this payment.
Answer:
1. Apr 5
Dr Merchandise inventory $28,800
Cr Account payable $28,800
Apr 6
Dr Merchandise inventory $620
Cr Cash $620
Apr 7
Dr Equipment $34,200
Cr Account payable $34,200
Apr 8
Dr Account payable $3,500
Cr Merchandise inventory $3,500
Apr 15
Dr Account payable $25,300
Cr Cash $24,288
Cr Merchandise inventory $1,012
b) May 4
Dr Account payable $25,300
Cr Cash $25,300
Explanation:
1. Preparation of the journal entries to record the transactions listed above on Blossom Co.’s books. using a perpetual inventory system.
Apr 5
Dr Merchandise inventory $28,800
Cr Account payable $28,800
Apr 6
Dr Merchandise inventory $620
Cr Cash $620
Apr 7
Dr Equipment $34,200
Cr Account payable $34,200
Apr 8
Dr Account payable $3,500
Cr Merchandise inventory $3,500
Apr 15
Dr Account payable $25,300
($28,800-$3500)
Cr Cash (25,300*96%) $24,288
Cr Merchandise inventory $1,012
($25,300-$24,288)
b) Preparation of the journal entry to record this payment.
May 4
Dr Account payable $25,300
($28,800-$3500)
Cr Cash $25,300
Anyina Corporation has an actual profit of $80,000. The break-even point is $500,000 and the variable expenses are 60% of sales. Given this information, the margin of safety, based on actual sales, is:
Answer:
Margin of safety = $200,000
Explanation:
Given:
Actual profit = $80,000
Break-even point = $500,000
Variable expenses = 60% of sales
Find:
Margin of safety
Computation:
Assume sales = a
So,
Variable expenses = 0.6a
Pv ratio = [(Sales - Variable expenses) / Sales]100
Pv ratio = [(a - 0.6a)/a]100
Pv ratio = 40%
Margin of safety = Profit / Pv ratio
Margin of safety = 80,000 / 40%
Margin of safety = $200,000
Why do cell phone service providing firms often charge higher price to pre-paid clients than those on contract?
Answer:
Contract customer ensures a regular income as compared to the pre paid users and hence cell phone service provider prefer to hold these customers by lowering their services rates
Explanation:
Prepaid phone call rates are higher than the call rates of contract phone services because the contract services ensures a minimum of certain amount per month. Along with that the service provider charges an activation charge prior to providing contract services hence they make the call rates and rates of other services like internet low for contract customers.
Kanye, Jonny, Jaco, and Neil are trying to form a band. They each have some basic skills on most instruments, so their current plan is for each of them to rotate among vocals, guitar, bass, and drums. After a year of practice and rehearsals the band still sounds awful. Kanye cannot keep a steady beat when on bass or drums, Jaco sounds terrible on everything except the bass, nobody except Jonny can remember all the chords on guitar, and even Neil's own mother thinks his singing sounds like a dying cow. At their current rate, they expect it will be several years before they are good enough to land their first paid performance. None of them have enough money saved up to last that long. They all know you are taking economics and ask your advice. What would you say to them?
Answer:
2- Have each member specialize in the role that they are best in, to take advantage of benefits from specialization.
Explanation:
Here are the options
1- Continue with the current plan, as economies of scale should eventually kick in.
2- Have each member specialize in the role that they are best in, to take advantage of benefits from specialization.
3- Abandon the band, as continued practice is doomed to suffer diminishing marginal returns.
4- Invest their remaining savings in new instruments, as they are at a point where the marginal product of capital exceeds the marginal product of labor.
5- Change the rotation to be random rather than equal, to take advantage of heteroskedasticity.
Specialisation is when a person focuses on an activity in which they are efficient in or have a comparative advantage in
A person has a comparative advantage in production if he produces at a lower opportunity cost when compared to other people
Jaco seems to be efficient at playing bass, thus he should specialise in this activity
Jonny seems to be efficient at playing the guitar, thus he should specialise in this activity
An advantage of specialisation : Increased efficiency as a result of carrying out the same activity multiple time.
Projects are also often embedded with different options that can help making decisions under uncertainty. There are techniques used to evaluate these embedded options which are called real options. The models used to value these options are based on the type of the real option available for the project. Real options the value of capital investment projects.
A real option embedded in a capital project gives the investing firm the right but not the obligation to buy, sell, or transform an asset at a set price during a specified period of time.
a. True
b. False
Answer:
a. True
Explanation:
The real option should be used in the decision that made for the capital investment in order to rise the worth of the project. So it rise the capital investment value for the project. Also a real option in a capital asset provides the right to the investing firm but not the liability to purchase or sell or transform the asset at a fixed price
Therefore the given statement is true
Newton Company is considering the purchase of an asset that will provide a depreciation tax shield of $19,200 per year for 10 years. Assuming the company is subject to a 40% tax rate during the period, and a zero salvage value, what is the depreciable cost of the new asset
Answer:
$480,000
Explanation:
The computation of the depreciable cost of the new asset is shown below:
Given that
Depreciation tax shield = $19,200
Tax rate= 40%
Now
Actual Depreciation for the year is
= $19,200 ÷ 40%
= $48,000
Now
Total Depreciation cost for 10 years is
= $48,000 × 10
= $480,000
You can borrow and lend at the interest rates of 7.00% in the US and 5.00% in Canada. Based on Interest Rate Parity, the forward premium for CAD should be exactly equal to: Group of answer choices 1.90% - 1.87% 1.02% 98.11%
Answer:
1.90%
Explanation:
Note that that CAD exchange rate would be in terms of how many US dollars can be exchanged for 1 CAD, which means that the formula for forward premium would be stated in terms of US dollars, I mean the US$ as the numerator and CAD's interest rate would be the denominator
the forward premium for CAD=((1+US interest rate)/(1+Canada interest rate))-1
the forward premium for CAD=((1+7%)/(1+5%))-1
the forward premium for CAD=1.90%
What are some of the suggestions that financial expert Beth Kobliner gives to D.Woods regarding controlling spending and increasing savings
Answer:
Pay yourself first, distinguish between needs and wants, automatic deposit
Explanation:
Some of the suggestions given by financial expert Beth Kobliner to D. Woods are mentioned below:
Pay yourself first
It is the key concept of personal finance. The term does not mean about receiving a paycheck rather it is a money-saving method that simply requires one to save money for long-term and future needs. Examples of such could be depositing money into retirement accounts, buying insurance, or depositing money into a savings account.
Distinguish between needs and wants
Another suggestion by Beth Kobliner was the distinction between needs and wants. As needs are something that one requires to survive while wants are something one can live without. From the financial perspective view, an individual must be able to prioritize between what is needed to sustain life and what can be delayed as it is a luxury.
Automatic deposit
This refers to the payment to the recipient's bank account immediately and without any waiting period. This method is an electronic service and replaces the old-fashioned way of sending paper check mails. With the deletion of the paper check method in exchange for using direct deposits, the risk of wages being stolen is eliminated. This way direct deposits are a simple and flexible solution for employees.
Kansas Company acquired a building valued at $150,000 for property tax purposes in exchange for 10,000 shares of its $5 par common stock. The stock is widely traded and sold for $16 per share. At what amount should the building be recorded by Kansas Company
Answer:
$160000
Explanation:
Below is the calculation for the amount that should be recorded.
The actual value of building = $150000
Number of shares = 10000 shares
The stock is traded at the price = $16 per shares
The Kansas company should record the amount of building = total share x Sell price
The Kansas company should record the amount of building = 10000 x 16
The Kansas company should record the amount of building = $160000 (fair market value or price of shares)
Four Seasons Industries has established direct labor performance standards for its maintenance and repair shop. However, some of the labor records were destroyed during a recent fire. The actual hours worked during August were 2,750, and the total direct labor budget variance was $1,430 unfavorable. The standard labor rate was $17.60 per hour, but recent resignations allowed the firm to hire lower-paid replacement workers for some jobs, and this produced a favorable rate variance of $3,850 for August.
Required:
a. Calculate the actual direct labor rate paid per hour during August.
b. Calculate the dollar amount of the direct labor efficiency variance for August.
c. Calculate the standard direct labor hours allowed for the actual level of activity during August.
Answer:
a. (AR-SR)* Actual hours = Labour rate variance
Actual rate = (-3,850/2,750) + $17.60
Actual rate = -$1.4 + $17.60
Actual rate = $16.20
b. Direct labour efficiency variance for August = Total direct labour budget variance - Direct labour rate variance
= 1,430 - (-$3,850)
= $5280 Unfavourable
c. Direct Labour efficiency variance = (AH-SH)*SR
5280 = (2,750 - SH) * 17.60
(2,750 - Standard hours) = 5280/17.60
(2,750 - Standard hours) = 300
Standard hours = 2,750 - 300
Standard hours = 2,450
Beckenworth had cost of goods sold of $10,521 million, ending inventory of $3,189 million, and average inventory of $2,075 million. Its days' sales in inventory equals: __________
Answer:
am i supposed to know
Explanation:
Karla makes a pitch to her supervisor about changing their company's stance on recycling but finds out after the pitch meeting that her supervisor was already considering a change to the recycling policy. Which component of advocacy did Karla fail to consider
Answer:
Knowing the supervisor's knowledge
Explanation:
In making a pitch about a particular idea it is important to to follow the steps of advocacy in order to effectively promote the idea and get a positive result.
In the given scenario Karla makes a pitch to her supervisor about changing their company's stance on recycling.
The steps to follow are:
- identify a challenge or opportunity
- determine your audience
- find out what they already know or perceive
- determine how receptive they are
- establish objectives for the audience
- define points for the audience
- determine channel of communication
- decide on needed resources
- set timelines for activities
- evaluate success
Karla did not know her supervisor was already considering a change to the recycling policy.
So she failed to determine her Supervisor's knowledge of the situation.
The component of advocacy that Karla has failed to consider here is the supervisors knowledge.
She made a pitch about the issue without finding out if the supervisor already had a prior knowledge to what was happening.
This would have made her to make her case in a different way. The principle of advocacy is done with the aim of promoting a cause or interests of certain people.
She did not consider that the pitch she was making had already been dealt with by the supervisor she was giving it to.
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Your firm currently has net working capital of $ that it expects to grow at a rate of % per year forever. You are considering some suggestions that could slow that growth to % per year. If your discount rate is %, how would these changes impact the value of your firm?
Complete Question:
Your firm currently has net working capital of $132,000 that it expects to grow at a rate of 4% per year forever. You are considering some suggestions that could slow that growth to 2% per year. If your discount rate is 10%, how would these changes impact the value of your firm? The value of the firm would $ (Round to the nearest dollar.)
Answer:
The Firm
a. The changes will reduce the value of the firm from $2,200,000 to $1,650,000, a difference of $550,000.
b. The value of the firm would be $1,650,000 if the changes are retained.
Explanation:
a) Data and Calculations:
Current net working capital = $132,000
Expected growth rate = 4%
Desired growth rate = 2%
Firm's discount rate = 10%
Value of firm with expected growth rate of 4% = NWC/(k - g)
where NWC = Net Working Capital
k = discount rate
g = growth rate
Therefore value of the firm = $132,000/(0.1 - 0.04)
= $132,000/0.06
= $2,200,000
Value of the firm with reduced growth rate of 2%:
= $132,000/(0.1 - 0.02)
= $132,000/0.08
= $1,650,000
From the list choose the letter that contains the word, phrase, name, etc that best matches the word, phrase, name, etc listed on the bottom.
1. Government-mandated, government-sanctioned, and voluntary private programs that tend to focus on access to education and employment, granting special rights to historically excluded groups
2. Equal Pay Act of 1963
3. Collective bargaining
4. Improvement in productivity due to higher union wages
5. National Labor-Management
6. Prior to the passage of the Civil Rights Act of 1964
7. The DREAM Act (Development, Relief, and Education for Alien A law requiring all minors to become the citizens of the United States
8. Decline in manufacturing, increased competition from foreign manufacturers, the passage of laws aimed at protecting workers
9. When higher union wages lead to higher quantity
10. Minimum wage laws
A. Legislative proposal providing path to legal residency to qualifying immigrants who entered the United States as minors (before the age of 16)
Relations Act of 1935
B. Requires that men and women be given equal pay for equal work in the same establishment
C. May increase demand for unionized labor
D. A law requiring companies to pay equal wage to all their workers regardless of race, age or sex
E. A law granting states the power to allow workers to opt out of the union in their workplace if they so desired
F. Leads to a shortage of labor
G. Companies in many states could legally refuse to hire a black worker regardless of the credentials or experience of that worker supplied of labor and lower quantity demanded of labor
H. Women were not allowed to work in certain sectors of the economy
I. Lead to a decline of labor unions in the United States
J. Affirmative action
K. Lead to a decline of labor unions in the United States
L. A law granting workers the right to unionize
M. A process of negotiation between firms and labor unions regarding wages, compensation, working conditions, and other factors affecting workers
N. Help reduce the downward pressure on wages of low-skill workers that may arise due to increased competition from immigration
Answer:
Matching with the Best Word, Phrase, Name, etc:
1. J. Affirmative action
2. B. Requires that men and women be given equal pay for equal work in the same establishment
3. M. A process of negotiation between firms and labor unions regarding wages, compensation, working conditions, and other factors affecting workers
4. C. May increase demand for unionized labor
5. L. Relations Act of 1935. A law granting workers the right to unionize
6. G. Companies in many states could legally refuse to hire a black worker regardless of the credentials or experience of that worker supplied of labor and lower quantity demanded of labor
7. A. Legislative proposal providing path to legal residency to qualifying immigrants who entered the United States as minors (before the age of 16)
8. I. Lead to a decline of labor unions in the United States
9. K. Lead to a decline of labor unions in the United States
10. D. A law requiring companies to pay equal wage to all their workers regardless of race, age or sex
Explanation:
The DREAM Act, Relations Act of 1935, Equal Pay Act of 1963, Civil Rights Act of 1964, and Affirmative action are some of the government-sponsored programs to ensure that some level of equity applies to individual cases.
Common stock holders: Group of answer choices have one vote in the election of how the company operates. are last in line to receive income. are guaranteed to get paid when the company fails. receive income before preferred stockholders.
Answer:
are last in line to receive income.
Explanation:
Common stock holders are referred to as the owners of the company. They own shares that gives them the right to vote in a company's general meeting, receive dividends, and they have the right to get newly issued shares in the company before others.
However they are also called unsecured creditors of the company because when the business makes income they are the last in line to receive dividends if any remains.
Also in the case of bankruptcy preference share holders and other creditors are paid first. Common share holders are paid last.
ce Corporation produces and sells a single product. Data concerning that product appear below: Per Unit Percent of Sales Selling price $ 240 100 % Variable expenses 36 15 % Contribution margin $ 204 85 % Fixed expenses are $160,000 per month. The company is currently selling 1,100 units per month. Required: Management is considering using a new component that would increase the unit variable cost by $75. Since the new component would improve the company's product, the marketing manager predicts that monthly sales would increase by 600 units. What should be the overall effect on the company's monthly net operating income of this change if fixed
Answer:
Ace Corporation
The overall effect on the company's monthly net operating income of this change if fixed is a reduction:
= $5,100
Explanation:
a) Data and Calculations:
Per Unit Percent of Sales
Selling price $ 240 100 %
Variable expenses 36 15 %
Contribution margin $ 204 85 %
Fixed expenses are $160,000 per month
Current sales units per month = 1,100 units
Expected increase in unit variable cost = $75
New variable cost per unit = $111 ($36 + $75)
Expected increase in sales units per month = 600 units
New sales units per month = 1,700
Old Component New Component Overall Effect
Sales revenue $264,000 $408,000
Variable costs 39,600 188,700
Contribution margin $224,400 $219,300
Fixed expenses 160,000 160,000
Net operating income $64,400 $59,300 -$5,100
g e-Dynamix Technologies, another electronics manufacturing firm, in important factors such as manufacturing capability and adaptability to market conditions. Which of the following terms best describes Futura-Core's abilities in comparison to Core-Dynamix? A. absolute advantage B. collective bargaining C. comparative advantage D. competitive advantage
Complete Question:
Futura-Core Technologies, an electronics manufacturing firm, has advantages in financial capability and sustainability, but a disadvantage in speed of innovation. It is also at a disadvantage relative to Core-Dynamix Technologies, another electronics manufacturing firm, in important factors such as manufacturing capability and adaptability to market conditions.
Answer:
C. comparative advantage
Explanation:
Comparative advantage in economics is the ability of an individual or country to produce a specific good or service at a lower opportunity cost better than another individual or country.
Generally, comparative advantage gives a country or business firm a stronger sales margin than their competitors because they are able to sell their specific products or render their peculiar services at a lower opportunity cost.
Hence, the term which best describes Futura-Core's abilities in comparison to Core-Dynamix is comparative advantage.
Dée Trader opens a brokerage account and purchases 400 shares of Internet Dreams at $20 per share. She borrows $2,500 from her broker to help pay for the purchase. The interest rate on the loan is 7%. a. What is the margin in Dée’s account when she first purchases the stock?
Answer: $5500
Explanation:
The margin in Dée’s account when she first purchases the stock will be calculated thus:
First, we calculate the value of the 400 shares which will be:
= 400 × $20
= $8000
Since the borrowed amount is $2500, therefore the margin will be:
= Purchase price - Borrowed amount
= $8000 - $2500
= $5500
Therefore, the margin is $5500
Suppose that it costs $400 per day to search for chanterelle mushrooms at Pt. Reyes National Seashore. On an average day, the total weight of mushrooms M found at Pt. Reyes is M=100x-x^2 pounds ,where X is the number of people mushroom hunting on that day. Chanterelles can be sold for $90 per pound. How many more people will go mushroom hunting than is socially optimal?
Answer: 48
Explanation:
Firstly, we need to solve the marginal product which will be:
= dM/dx
= d(100x - x²)/dx
= 100-2x
At socially optimal level, it should be noted that:
Price × Marginal Product = Cost
90 × (100-2x) = 400
9000 - 1800x = 400
1800x = 9000 - 400
1800x = 8600
x = 8600/180
x = 47.77
x = 48
Therefore, the optimal number of workers will be 48.
Assume that an investor purchased a put option on BP with an exercise price of $1.900 for $0.0215 per unit. There are 31,250 units in a GBP options contract. At the time of the option expiration date, the spot price for GBP was $1.885. What was the net profit/loss on this option to the investor?
a. $203.125
b. $671.8750
c. $468.75
d. $1,140.625
Answer:
a. $203.125
Explanation:
Calculation to determine the net profit/loss on this option to the investor
Net profit/loss=((1.900 - 1.885) - 0.0215)(31,250)
Net profit/loss=(0.015-0.0215)*31,250
Net profit/loss=0.0065*31,250
Net profit/loss=$203.125
Therefore the net profit/loss on this option to the investor will be $203.125
At the beginning of 2004, the Alaska Corporation had 2 million shares of common stock outstanding and no preferred stock. At the end of August, 2004, Alaska issued 600,000 new shares of common stock. If Alaska reported net income equal to $8.8 million, what was the firm's earnings per share for 2004
Answer:
$4
Explanation:
Earning per share (EPS) refers to earnings available to common shareholders which is divided by the weighted average number of common shares outstanding.
The weighted average number of shares outstanding equals the original 2 million shares plus 4/12 of the additional 600,000 shares.
The 4/12 weight is used because the new shares were only outstanding 4 months of the year.
Hence,
EPS = $8.8 million / [2 million + (4/12)(600,000)
EPS = $8.8 / $2.2
EPS = $4
Read the following paragraph and respond to the questions below.
(1) Frequently, department managers and supervisors recruit applicants without working through our corporate human-resources office. (2) Our human-resources departments at all of our locations across the country have experienced this problem. (3) Recently, the manager of our tool-design department met with a recent industrial design graduate to discuss an opening for a tool designer. (4) The graduate was sent to the human-resources department, where she was told that no such position existed. (5) When the tool-design manager asked the director of human resources about the matter, the manager learned that the company president had ordered a hiring freeze for two months. (6) I’m sure that our general employment situation will get better. (7) As a result of the manager’s failure to work through proper channels, the applicant was not only disappointed but bitter.
a. Which number sentence is the topic sentence?
b. Which number sentence does not contribute to paragraph unity?
c. What is the writer providing in sentences 3 through 7 to help the reader understand his/her point?
d. Why is that helpful, or why is the message better by adding sentences 3 through 7?
Answer:
a. The number sentence that is the topic sentence is sentence (1).
b. Sentence (6) does not contribute to the paragraph's unity. It can be eliminated, without changing the meaning that can be obtained from the paragraph. It does not support the topic.
c. The writer, in sentences 3 through 7, provides an example and further details to help the reader to understand her point.
d. The example in a sentence makes the idea clearer to the reader. Without the example, which provides further details, the reader may not clearly appreciate the topic under discussion.
Explanation:
The purpose of the topic sentence is to introduce the theme of the paragraph or the point of view of the writer. It captures the essence of the story. As it bears the central idea, it focuses the paragraph to achieve unity.
Find a company offering different products and discuss what the company did to retain its customers under particular circumstances.
Answer:
Explanation:
Consider Samsung, a global leader in electronic goods such as the Galaxy brand of smartphones, laptops, and home appliances, among others. A sector of Samsung Company known as Samsung C&T Fashion Group offers a variety of items to clients, including apparel and athletics.
What the company did to keep its consumer in a certain situation. Most regions of the world, as well as companies and business owners, have been affected by the recent COV-ID epidemic along with those in line of clothes and athletics. Samsung saw this and they began selling facial masks to protect clients from the viral infection, allowing the company to retain customers and boost its customer retention rate.
As a result, a few of their companies began producing UV sterilizers particularly for cleaning mobile devices in order to reduce the possibility of the virus spreading through mobile phones.
Assuming you have to pay $6.00 to play the game, explain what happens in the long run. (Is it a good idea to play the game
Answer:
Kindly check explanation
Explanation:
We create a probability distribution for the play and winning :
Possible winning, X = 0, 7, 20
Probability of winning :
Sum of 2 die rolls ; sample space = 6² = 36
P(winning 0) = (sum ≠ 2,3,5 or 6)/ sample space = 24 / 36 = 2/3
P(winning 20) = (sum = (2 or 3) / Sample space) = 9 / 36 = 1/4
P(winning 7) = (sum = (5or6) / sample space) = 3 / 36 = 1/12
Distribution table :
X _____ 0 _______ 7 _____ 20
P(x) ___ 2/3 _____ 1/4 ____ 1/12
Expected value of the game ; E(X) ;
E(X) = Σx*p(x)
E(X) = (0*2/3) + (7*1/4) + (20*1/12)
E(X) = 0 + 1.75 + 1.6667
E(X) = 3.417
E(X) = 3.42
This means the mean winning after a long play is expected to be $3.42
To know if the game should be paku in the long run : we calculate the payoff
Expected Value - cost of paly
Cost of play = $6
Payoff = 3.42 - 6 = - 2.58
Since, payoff is negative, the game should not be played.
A store has two different coupons that customers can use. One coupon gives the customer $15 off their purchase, and the other coupon gives the customer 30% off of their purchase. Suppose they let a customer use both coupons and choose which coupon gets applied first. For this context, ignore sales tax.
Let f be the function that inputs a cost (in dollars) and outputs the cost after applying the "$15 off" coupon, and let g be the function that inputs a cost (in dollars) and outputs the cost after applying the "35% off" coupon.
a. Suppose acustomerwants to purchase asi 40 item and apply the si 5 of coupon first, and then the 35% or coupon How much will the item cost after applying the coupons?
b. Suppose a customer wants to purchase a S 140 item and apply the SI 5 off coupon first, and then the 35% or coupon Ure ction notation to represent how much the item will cost (dollars) after applying the coupons.
c. Suppose a customer wants to purchase a $140 item and apply the 35% om coupon first and then the sis of coupon How much will the item cost after applying the coupons?
d. Suppose a customer wants to purchase a S 140 item and apply the "35% or coupon first and then the "S 15 off coupon. Usefu ction notation to represent how much the item will cost (dollars) after applying the coupons.
Answer:
16.25;
g(f(x)) ;
76 ;
f(g(x))
Explanation:
For 15 off
f(x) = x - 15
For 35% off
g(x) = (1 - 0.35)x = 0.65x
g(x) = 0.65x
A.)
For the $15 off coupon :
f(x) = x - 15
f(x) 40 - 15 = 25
For the 35% coupon :
g(x) = (1-0.35)x
g(x) = 0.65(25)
g(x) = 16.25
B.)
Applying $15 off first, then 35%
Here, g is a function of f(x)
g(f(x))
Here g(x) takes in the result of f(x) ;
For the $140 off coupon :
f(x) = x - 15
f(140) = 140 - 15 = 125
For the 35% coupon :
g(125) = (1-0.35)x
g(124) = 0.65(125) = $81.25
C.)
x = 140
g(x) = 0.65x
g(140) = 0.65(140)
g(140) = 91
f(x) = x - 15
f(91) = 91 - 15
f(91) = 76
D.)
Here, F is a function of g(x)
f(g(x))
f(x) = (0.65*140) - 15
Consider an event you are familiar with, such as a baseball game, a rock concert, or delivering delivering product to a customer. Map out the logistics tasks needed and their sequence in organizing this particular event.
The correct answer to this open question is the following.
I am going to consider a rock concert. I am familiar with this event.
This is the logistics needed and the sequence in organizing this particular event.
1.- The promoter contacts the talent agency to negotiate with the band's management.
2.- The promoter has scheduled some dates in a specific venue where it is going to organize the show.
3.- The promoter and the manager negotiates the band fees.
4.- Both sign an agreement.
5.- THe promoter confirms the show with the venue.
6. The promoter order the printing of the tickets.
7.- The promoter double-checks all the permissions and authorizations required by the local government, according to the characteristics of the show.
8.- The promoter notifies the fire department, the police department, the traffic department, and rents medical or emergency services for the day of the show.
8.- The band's manager sents the "rider," the document where the band specifies its catering, backstage, rigging, light, and sound system. This document also includes hotel rooms, ground transportation necessities, and flight tickets.
9.- The promoter starts the marketing and promotion of the show in mass media outlets and social media.
10.- The promoter rents all the equipment needed.
11.- Everything is ready for the day of the show.
In the previous year, a company had revenues of $500,000, project overhead of $40,000 and company overhead of $75,000. The company expects the percentage for project and company overhead to remain the same for the current year. The company desires to make a 10% profit on a project it is bidding. The project would have $80,000 in direct costs. What should the bid price be
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Identify the organizational method/pattern used in each of the following sets of main points.
a. Fraudulent charity fund-raising is a widespread national problem.
b.The problem can be solved by a combination of government regulation and individual awareness.
c. At the top of the rainforest is the emergent layer, where trees can be 200 feet tall.
d. Below the emergent layer is the canopy, where vegetation is so dense that it filters out 80 percent of the sunlight.
e. Beneath the canopy is the understory, where trees are less than 12 feet tall and grow large leaves to collect the small amount of sunlight.
f. At the bottom is the forest floor, where there are almost no plants because of the lack of sunlight.
g. Sonia Sotomayor is best known as the first Hispanic justice of the U.S. Supreme Court.
Correct question options:
1 I.Fraudulent charity fund-raising is a widespread national problem.
II.The problem can be solved by a combination of government regulation and individual awareness.
2 I.At the top of the rainforest is the emergent layer, where trees can be 200 feet tall.
II.Below the emergent layer is the canopy, where vegetation is so dense that it filters out 80 percent of the sunlight.
III.Beneath the canopy is the understory, where trees are less than 12 feet tall and grow large leaves to collect the small amount of sunlight.
IV.At the bottom is the forest floor, where there are almost no plants because of the lack of sunlight.
3 I.Sonia Sotomayor is best known as the first Hispanic justice of the U.S. Supreme Court.
II.Sonia Sotomayor is also an accomplished communicator who has given hundreds of public speeches.
Answer:
1. Problem-solution pattern
2. Compare and Contrast
3. Sequence
Explanation:
Organizational models or structures are the various ways writers organize their ideas in their work in order to enable the reader better understand the write-up. Organizational models may depend on the type of essay or story being written. Example, an autobiography usually follows a sequence type of pattern. An article could also follow a problem-solution pattern as in the first example above.
what kind of business