Answer:
Number of units possible in S are 4.
Explanation:
Given S is a set of complex number of the form [tex]a+bi[/tex] where a and b are integers.
[tex]z\in S[/tex] is a unit if [tex]w\in z[/tex] exists such that [tex]zw=1[/tex].
To find:
Number of units possible = ?
Solution:
Given that:
[tex]zw = 1[/tex]
Taking modulus both sides:
[tex]|zw| = |1|[/tex]
Using the property that modulus of product of two complex numbers is equal to their individual modulus multiplied.
i.e.
[tex]|z_1z_2|=|z_1|.|z_2|[/tex]
So,
[tex]|zw| = |1|\\\Rightarrow |zw| =|z|.|w| =1\\\Rightarrow |z|=\dfrac{1}{|w|}[/tex]......... (1)
Let [tex]z=a+bi[/tex]
Then modulus of z is [tex]|z| = \sqrt{a^2+b^2}[/tex]
Given that a and b are integers, so the equation (1) can be true only when [tex]|z| = |w| =1[/tex] (Reciprocal of 1 is 1). Modulus can be equal only when one of the following is satisfied:
(a = 1, b = 0) , (a = -1, b = 0), (a = 0, b = 1) OR (a = 0, b = -1)
So, the possible complex numbers can be:
[tex]1.\ 1 + 0i = 1\\2.\ -1 + 0i = -1\\3.\ 0+ 1i = i\\4.\ 0 -1i = -i[/tex]
Hence, number of units possible in S are 4.
A company has revenues of $1,250,000 with a net profit margin of 10%. If the depreciation for the year is $75,000, short-term investments decreased by $15,000, accounts receivable increased by $10,000, inventory decreased by $5,000 and accounts payable decreased by $6,000, what is the net cash provided by operations.
Answer:
$204,000
Explanation:
The computation of net cash provided by operations is shown below
Cash flow from operating activities
Net profit ($1,250,000 × 10%) $125,000
Add: depreciation expense $75,000
Add: Decrease in short term investment $15,000
Less: Increase in account receivable -$10,000
Add: Decrease in inventory $5,000
Less: Decrease in account payable -$6,000
Net Cash provided by operations $204,000
The minus sign depicts the cash outflow and the positive sign depict the cash inflow
If a manager is called upon to hire a new vendor and negotiate the best services for the best price, which type of role is required?
Answer:
decision making role
Explanation:
Management roles vary depending on which type of manager we are talking about: upper, middle or lower management. Management roles include:
Leadership and Interpersonal RolesInformational RolesDecision Making Roles: are themselves divided into 4 categories (entrepreneur, disturbance handler, resource allocator, negotiator). In this case, the manager is allocating resources since labor is a resource.Jacob is looking to buy some car insurance and is reviewing different policies from several different agencies. The first policy he sees costs$750 for the upcoming year and is worth $10000 if he gets in a collision.After doing some research, he estimates that he has a 8% of getting in acar accident for that year. What is the expected value of buying this insurance policy
The expected value of buying this insurance policy is $50.
The expected value of buying the insurance policy is the weighted average of probabilities of the cost of the insurance and the cover if Jacob gets into an accident.
If Jacob gets into an accident and is covered, his payout will be:
= benefit - cost
= 10,000 - 750
= $9,250
The probability of this happening is 8%.
If Jacob does not get into an accident he would lose the $750 he paid in insurance premiums. The probability of this happening is:
= 100% - 8%
= 92%
The expected value of the insurance is:
= (probability of accident * payout if there is an accident) + (probability of no accident * payout if there is no accident)
= (8% * 9,250) + (92% * -750)
= $50
More information on expected value can be found at https://brainly.com/question/17069001.
A project manager has just found out that a major subcontractor for her project is consistently late delivering work. The project team member responsible for this part of the project does not get along with the subcontractor. To resolve the problem, the project manager says, "You both will have to give up something to solve this problern," What conflict resolution method is she using
Answer:
compromise
Explanation:
Compromise as a conflict resolution strategy is one that involves finding acceptable reasons such that all the parties involved in the conflict have their concerns satisfied partly.
The project manager saying "You both will have to give up something to solve this problem" means that both parties involved in the conflict will have to come to an agreement that suits or benefits both parties.
Cheers.
Sanchez Inc. reported the following on the company's cash flow statement for 20Y7: Net cash flow from operating activities $500,000 Net cash flow used for investing activities (200,000) Net cash flow used for financing activities 150,000 Thirty percent of the cash flow used for investing activities was used to purchase property, plant, and equipment. What is the free cash flow for 20Y7?
Answer: $440,000
Explanation:
From the question, we are informed that the net cash flow from operating activities is $500,000, the net cash flow used for investing activities is (200,000) and that the net cash flow used for financing activities 150,000. We are further told that thirty percent of the cash flow used for investing activities was used to purchase property, plant, and equipment.
The free cash flow for 20Y7 will be:
= $500,000 - ($200,000 × 30%)
= $500,000 - ($200,000 × 0.3)
= $500,000 - $60,000
= $440,000
started the year with total assets of $30,000 and total owner's equity of $20,000. During the year a) assets increased by $20,000, b) the business recorded $45,000 in revenues, c) the business recorded $30,000 in expenses, and d) the owner withdrew $5,000 for personal use. Liabilities at the end of the year were:
Answer:
$20,000
Explanation:
The computation of the liabilities at the end of the year is shown below:
As we know that
Total assets = Total liabilities + equity
where,
Total assets are
= Begining balance + increased assets
= $30,000 + $20,000
= $50,000
And, the equity is
= Starting balance + revenues - expenses - withdrawn amount
= $20,000 + $45,000 - $30,000 - $5,000
= $30,000
So, the liabilities is
= $50,000 - $30,000
= $20,000
Trent is an avid fly fisherman and for his hobby he large rubber rafts, hip waders, special fishing rods, reels, line, and an assortment of fishing tackle and lures. There are no sporting goods stores near him so he orders his fishing supplies from the L.L. Bean catalog. His supplies are generally delivered to his home within 72 hours. Trent is using a ________ to satisfy his fishing supply needs.
Answer:
Home delivery retailer
Explanation:
Retailing is the sale of services or goods directly to the end use customers through stores, malls, online and by home delivery, to make a certain amount of profit. Retailers are there to close the gap between the producers, wholesalers and the end users. Retailing involves the the fulfilling of small orders of very many end use customers
Being that Trent intends to buy the supplies for his personal use and hobbies and have them delivered to his home. Trent is using a home delivery retailer to satisfy his fishing supply needs.
Considering the scenerio, whereby Trent who is an avid fly fisherman got delivered his fishing supplies to him is example of home delivery retailer.
What is a retail?
In channel distribution, a retailer can be regarded as one that by goods from the wholesaler and resell to the final consumer.
In the above case, hip waders, special fishing rods, reels were supplied to Trent from a retailer who delivered it to him.
We can conclude that he ordered his service from a retailer.
Learn more about retailer at:
https://brainly.com/question/25694974
Project managers typically use ________, also called analogous estimating or the ______ method when there is a past history of similar projects and rough-cut estimates are needed for strategic purposes two-to-five years out because, as estimating methods go, it is faster and less expensive. Multiple Choice bottom-up, learning curve top-down, range estimating top-down, apportion top-down, phase estimating bottom-up, range estimating
Answer:
1. top-down
2. apportion
Explanation:
Based on the manufacturing industry standards, Project managers typically use TOP-DOWN also called analogous estimating or the APPORTION method when there is a past history of similar projects and rough-cut estimates are needed for strategic purposes two to five years out because, as estimating methods go, it is faster and less expensive.
Ashley bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $350 more than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 6% per year. The total finance charges for one year were $398. How much did each computer cost before finance charges
Answer:
Laptop = $3250
Desktop = $2900
Explanation:
Total finance charge = $398
Laptop cost = 350 + x
Desktop = X
Workings
Finance cost = (7% *X ) + (6% * 350+x ) = 398
0,07 X + 0.06 X + 21 = 398
0.13 X + 21 = 398
0.13 X = 398 -21
0.13 X = 377
Therefore ,X = 377/0.13
=2900
Cost of Desktop = 2900
Cost of Laptop =2900+350 =3,250
Your clients, spouses Jared and Joaquim, are both 33 years old. They are concerned about saving money for a down payment on a home. Currently they have $120,000 set aside for that purpose. They plan to start a family in about a year and would like to buy the home in six months. The amount they have saved is more than 20% of the value of the homes in the area they want to move. They look to you for a place to save the money until they need it. Which of the following is the most suitable recommendation for the couple?
A) A 26-week T-bill
B) The Windmill Growth Fund
C) The Oldtime Life Insurance Company Variable Annuity
D) The Benji Money Market fund
Answer:
) The Oldtime Life Insurance Company Variable Annuity
Which of the following is one of the seven website design elements that marketers can use to produce an effective customer experience online?A. consistencyB. collaborationC. commercializationD. commerceE. creativity
Explanation:
The answer is D
Commerce
hope this helps
Mariposa, a young office manager, is trying to exchange text messages with her supervisor, Bill. Although Bill has been the general manager of the business for years, he has never learned how to use the texting function on his cell phone. What barrier to communication is Alexandria experiencing?
Answer:
Generational differences
Explanation:
Barriers to communication refer to different things that can affect the communication in a company. One of these barriers is the generational differences because it refers to the gap that exists between people of different ages that can be seen in different opinions, beliefs, values, behaviors and way of doing things. According to that, the answer is that the barrier to communication that Alexandra is experiencing is generational differences because there is a difference in the mean Mariposa and her supervisor use to communicate because of their age as Mariposa uses a technology that Bill is not familiar with which causes a problem in the communication.
When the number of units in work in process and finished goods inventories decrease, absorption costing net operating income will typically be greater than variable costing net operating income.
a. True
b. False
Answer:
b. False
Explanation:
The difference between absorption costing net operating income and variable costing net operating income lies in the fixed costs deferred in closing inventory.
If Production is greater than Sales - Increase in Finished Goods Inventory, Absorption costing net operating income will typically be greater than Variable costing net operating income.
However, If Production is less than Sales - Decrease in Finished Goods Inventory, Absorption costing net operating income will typically be less than Variable costing net operating income.
Assume that a single commercial bank has no excess reserves and that the reserve ratio is 20 percent. If this bank sells a bond for $1,000 to a Federal Reserve Bank, it can expand its loans by maximum of:
Answer:
it should be only 1,000
Explanation:
In a case, that an individual commercial bank has no extra reserves and that the reserve ratio is 20 percent. If this bank sells a bond for $1,000 to a Federal Reserve Bank, it can expand its loans by maximum of $1,000.
When commercial banks receive loan from the Federal bank?Banks can acquire the loan from the Federal Banks to receive reserve responsibilities. The rate traveled to banks is called the discount rate, that is normally higher than the rate that banks hasten each other.
Banks can acquire from each another to meet reserve requirements, which is charged at the federal funds rate.
In the scenario of a single commercial bank with no surplus reserves and a reserve ratio of 20%. If this bank sells a bond to a Federal Reserve Bank for $1,000, it can increase its loan limit by $1,000.
Therefore, the loan can be expanded by the maximum of $1,000.
Learn more about the loan, refer to:
https://brainly.com/question/11794123
#SPJ2
Question 9
1 pts
a
D
ESPE
The cost of a van is $16,000 with a residual value of
$2,000. The van has an estimated useful life of 5 years.
The mount of depreciation expense using straight-line
each year is:
D
O $933
O $373
O $737
O none of the above
Answer:
The correct answer is:
None of the above (d)
Explanation:
Depreciation is the reduction in the fair value of an asset over time.
cost of van = $16,000
residual value = $2,000
useful life = 5 years
depreciation using straight-line allocation is allocating the depreciation cost equally over the useful life of the asset.
[tex]Annual\ depreciation\ expenses\ = \frac{(cost\ of\ asset\ -\ salvage\ value}{useful\ life\ of\ asset} \\\\\\Annual\ depreciation\ expenses\ = \frac{16,000 - 2,000}{5} \\= \frac{14,000}{5} \\Annual\ depreciation\ expenses\ = \$2,800[/tex]
Answer:
none of the above
Explanation:
depreciation expense per year using straight line method = (purchase cost - residual value) / useful life = ($16,000 - $2,000) / 5 years = $14,000 / 5 = $2,800 per year
The straight line method for calculating depreciation expense is the simplest method that we can use, since the depreciation expense is the same for every year. Unlike double balance, sum of digits or any other kind of deprecation expense method which varies from year to year.
Assume Bob of "Gut-Bomb Burgers" Corp. would like to increase his company's market share by one share point to a total of nine percent. The burger industry's total marketing effort is $50 million. Bob is currently spending $4 million on marketing. How much additional money would Bob have to invest in marketing to increase his company's market share by one share point?
Answer:
$750,000
Explanation:
Calculation for the additional money that Bob have to invest in marketing to increase his company's market share by one share point
Based on the information given we were told that the burger industry's total marketing effort was the amount of $50 million, this means that the share of point will be calculated as :
Share of point=Total marketing effort of $50,000,000/100
Share of point=$500,000
Second step is for us to make use of the 1.5 rule from the parity budget by multiplying it with the amount of $500,000
Hence,
Additional money=$500,000*1.5
Additional money=$750,000
Therefore the additional money that Bob have to invest in marketing to increase his company's market share by one share point will be $750,000
The introduction of automatic elevator equipment allowed firms to handle the movement of people in a multistory building at less cost, thus decreasing the demand for elevator operators. The best explanation for this change is that the Multiple Choice marginal product of elevator operators was equal to its price. marginal product of automatic elevator equipment was equal to its price. marginal product of automatic elevator equipment divided by its price was greater than that for elevator operators. marginal product of elevator operators divided by its price was greater than that for automatic elevator equipment.
Answer:
The marginal product of automatic elevator equipment divided by its price was greater than that for elevator operators
Explanation:
Since in the question, it is mentioned that the automatic elevator introduction permit the firms to handle the movement of the people at least cost also it declines the demand for the operators of the elevator
This represents that the marginal product of elevator equipment would be divided by price and also it is more than for operators who are dealing in elevators
The Wagner Company made the following expenditures for research and development early in 2014: $80,000 for materials, $100,000 for contract services, $80,000 for employee salaries, and $800,000 for a building with an expected life of 20 years to be used for current and future research projects. Wagner uses straight-line depreciation. The company allocated $20,000 in overhead to research and development. What is Wagners' research and development expense for 2014
Answer:
$320,000
Explanation:
Research & development expense for 2014 = Materials Expenditure + Contract services expenditure + Employee salaries + Building expenditure + Overhead
Research & development expense for 2014 = $80000 + $100000 + $80000 +($800000/20) + $20000
Research & development expense for 2014 = $80000 + $100000 + $80000 + $40000 + $20000
Research & development expense for 2014 = $320,000
Antonio runs an online retail site and wants to set up a sitewide tag to measure online conversions for his future Google Ad campaigns. He's already set up conversion actions and has Google Tag Manager managing tags on his site. Which tag type should he choose to complete this process?
Answer:
The answer is Conversion Linker tag.
Explanation:
Antonio should have set up Google Tag Manager on his website. If the case is, without changing the code on his page, he should choose the Conversion Linker tag additionally to his landing page URLs, which automatically identifies the lead source.
A judge requires Harry to make a payment to Sally. The judge says that Harry can pay her either $10,000 today or $12,000 two years from today. Of the following interest rates, which is the highest one at which Harry would be better off paying the money today?
a. 11 percent
b. 6 percent
c. 4 percent
d. 9 percent
Answer:
d. 9 percent
Explanation:
After 2 years the value of $10,000 at present time =
$10,000 * (1 + x / 100)^2 = $12,000
(1 + x / 100)^2 = 12,00 / 10,000
(1 + x / 100)^2 = 1.2
The square root of 1.2 is 1.0954
(1 + x / 100) = 1.0954
x = 9.54
9%( Approximately.)
pls help this the last one
The main challenge of career planning in changing times is the need to adjust plans often.
Is this statement true or false?
true
false
True, the challenge is the need to adjust plans often.
Firstly, let understand career planning refers to the process of determining and choosing a professional path that best suit one's personality, interests and goals.
The ability to Discover, Learn, Identify, Understand, Assess and Choose a good path that suit one's lifestyle determines the likelihood of been successful in the path.However, career planning can be challenging because what might been assess today might become sophisticated tomorrow, so these pose a challenge for who is planning a career.In conclusion, the statement is true and these makes planning of career little bit complicated.
Learn more about Career planning here
brainly.com/question/6457203
Timothy, a laboratory manager at a multinational photography company, manages a team of seven designers. All of them report to him, and he has the power to command them and assign duties to them. In this scenario, Timothy most likely has_____.
Answer:
line authority
Explanation:
Line authority is when someone that has a supervisor position has the power to give orders to his/her subordinates in order to accomplish the company's goals. According to this, the answer is that in this scenario, Timothy most likely has line authority because he has a team that he supervises and he has the authority to assign duties to them.
2. Describe the following trends in business. Give an example of wha
productive business environment that supports each trend.
a. Social responsibility (1 point)
Answer:
Social responsability is the attribute of a business that tries to benefit the whole of society instead of only pursuing profits.
Social responsability has been an important trend in recent decades, and many businesses have made it a part of their corporate policy.
This is both because of altruistic and business reasons. When a business engages in social responsability, it not only helps society in some way, but it also helps itself, by earning respect, name-recognition, and prestige, which often results in more customers, and higher profits later on.
Sectoral shifts, frictional unemployment, and job searches Suppose the world price of steel falls substantially. The demand for labor among steel-producing firms in Pennsylvania will _____. The demand for labor among automobile-producing firms in Michigan, for which steel is an input, will _____. The temporary unemployment resulting from such sectoral shifts in the economy is best described as _____ unemployment.
Suppose the government wants to reduce this type of unemployment. Which of the following policies would help achieve this goal? Check all that apply.
a. Taxing the price of placing a resume or posting a job opening on a job-search website
b. Improving a widely used job-search website so that it matches workers to job vacancies more effectively
c. Increasing the benefits offered to unemployed workers through the government's unemployment insurance program
Answer:
fall
rise
frictional
b. Improving a widely used job-search website so that it matches workers to job vacancies more effectively
Explanation:
A fall in the price of steel would reduce the profitability of producing steel for steel producing companies. Hence, the supply of steel would fall. as a result, less labour would be needed, so the demand for labour would fall.
A fall in the price of steel would reduce the cost of producing cars and thus increase the production of cars. as a result, more labour would be employed to make cars.
Frictional unemployment is when labour is unemployed between the time he leaves his current employment and time he finds another. by improving on the job search website, workers would be matched faster with available jobs, this frictional unemployment would decrease.
Many gluten-free food options are found on the store shelves in the United States, but they are scarcely available in international markets. Given the increasing awareness of a healthy lifestyle, such products satisfy an unmet need. Therefore, a product such as gluten-free food in international markets:_________.
Answer: Is likely to have greater value
Explanation:
Gluten-free food are food that are safe to eat. Examples are most dairy products, such as cheese, butter and milk, fruit and vegetables, meat and fish (although not breaded or battered)
potatoes, rice and rice noodles. Although they are available at stores in America, they are scarce in the other part of world due to how they are valued. The demand of such food in those region is higher than that of America hence their shortage there.
If you put $100 into a bank account that earns five percent interest per year, what is the formula you should use to determine the account's future value in one year? Group of answer choices Future value equals the present value multiplied by the rate of interest. Future value equals the present value divided by the rate of interest. All of these yield the same answer. Future value equals the present value multiplied by one plus the rate of interest in decimals.
Answer:
Future value equals the present value multiplied by one plus the rate of interest in decimals.
Explanation:
Future value = present value x (1 + interest rate)
Interest rate = present value x interest rate
Which types of teams most are appropriate when the primary goal is innovation and the organization needs flexibility to cope with an uncertain environment
Answer:
Horizontal
Explanation:
An organization with a horizontal structure can be defined as that which is more flexible, dynamic and less bureaucratic, where employees have greater influence in the decision-making process and greater freedom in their work. Generally, employees need to report to only one manager and feel more motivated to contribute innovative ideas to the company due to greater autonomy and freedom at work.
Your client Jacinta is being pressured by her mortgage broker to lie on her loan application. The mortgage broker promises it will make the underwriting process easier, and that it's a normal way to get a better interest rate. Which statement BEST describes the situation
Answer:
This is a red flag for predatory lending AND mortgage fraud.
Explanation:
Considering the situation above, the statement that BEST describes the situation above is that "This is a red flag for predatory lending AND mortgage fraud."
This is because the act of cheating or fraudulent pursuits of some lenders during the loan process is known as predatory lending, in which lying during loan application is part of it.
Also, fraudulent activities such as misstatement, misrepresentation, or omission about a mortgage loan process are considered a mortgage fraud
Which of the following are good workplace writing
habits? Check all of the boxes that apply.
adjusting the writing style to the audience
and avoiding the use of technical terms if the
reader is not familiar with the subject
checking for errors and misspellings and
making sure to use the correct version of a
word
using abbreviations since everyone in the
office understands their meanings
The one that exemplifies good workplace writing habits would be:
A). adjusting the writing style to the audience and avoiding the use of technical terms if the reader is not familiar with the subject.
B). checking for errors and misspellings and making sure to use the correct version of a word.
Writing HabitsThe above two habits that exemplify good habits of writing at the workplace would be modifying the writing as per the audience.
The technical terms must be prevented before the audience that is not aware of it.
The other good habit is that it is searching for the mistakes that would assist in improving the vocabulary and pronunciation.
Thus, options A and B is the correct answer.
Learn more about "Workplace" here:
brainly.com/question/13838280
A company is considering replacing an old machine, which has a market value of $75,000 and a tax basis of $50,000. The new machine would cost $145,000 and would require an additional $12,000 in working capital for spare parts. If the company’s tax rate is 34%, what would be the initial cash outlay for this replacement project?
Answer:
$90,500
Explanation:
The computation of initial cash outlay is shown below:-
initial cash outlay = New machine cost + Increase in working capital - After tax salvage value
= $145,000 + $12,000 - (($75,000 - ($75,000 - $50,000) × 0.34
= $145,000 + $12,000 - $66,500
= $90,500
Therefore for computing the initial cash outlay we simply applied the above formula.