A mutual fund offers safety through diversification because a loss in one investment may be offset by gains in other investments within the fund. A mutual fund is a collection of funds that is professionally managed by a fund manager.
A mutual fund is a type of financial instrument that combines investor capital with a single investing goal. Depending on the goals of the scheme, it subsequently investment the funds in different asset classes including equities and bonds. These investments are made on behalf of the investors by an asset management company (AMC). Anyone wishing to diversify their portfolios may find mutual funds to be a beneficial investment. Find out if investing in mutual funds is the right choice for you. Mutual funds provide convenience and diversification.
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beginning three months from now, you want to be able to withdraw $4,100 each quarter from your bank account to cover college expenses over the next four years. if the account pays .81 percent interest per quarter, how much do you need to have in your bank account today to meet your expense needs over the next four years? note: do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.
$61,294.59 need to have in my bank account today to meet my expense needs over the next four years.
We must determine the Present Value of the Annuity, or the amount of money needed in the bank right now, in order to solve this problem. The following is the formula: Present value of annuity = Annuity x PVAF, where: Annuity = Quarterly withdrawal = $4,100.
PVAF, or present value annuity factor, is equal to 1-(1+r)-n/r, where r is the periodic rate and is equal to 0.0081, and n is the number of periods, which is 4 X 4 or 16 quarters.
We determine PVAF in this way: 1-(1+0.0081)-16/0.0081 = 14.9499.
To determine the annuity's Present Value, use the formula Annuity x PVAF = $4,100 X 14.9499 = $61,294.59.
A bank account is a financial record of the financial transactions between a bank and a customer that is kept by a bank or other financial organization.
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5. that employers are reluctant to decrease nominal wages during economic downturns and raise nominal wages during economic expansions is one reason nominal wages are described as a. long-run. b. unyielding. c. flexible. d. real. e. sticky.
That employers are reluctant to decrease nominal wages during economic downturns during economic expansions is one reason nominal wages are described as a Sticky explanation .
How does an increase in nominal wages affect the overall supply?
A rise in nominal wages would result in lower production since the cost of labor, a crucial resource, would rise. As a result, the aggregate supply curve would turn left.
What will happen to the short-term price level, nominal wages, real wages, and output?Both output and price are on the rise in the short term. Nominal salaries, costs, and opinions will eventually change to reflect this new price level. The short-run aggregate-supply curve will move to the left as a result.
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when a foreman orders an assembly-line employee to carry out a task that the employee perceives as unethical, yet the employee feels compelled to do it because of the foreman's position, the foreman is exercising which type of power?
When a foreman orders an assembly-line employee to carry out a task that the employee perceives as unethical, yet the employee feels compelled to do it because of the foreman's position, the foreman is exercising legitimate power.
A lower-level management role that is largely centred on power over employees or a workplace is known as a foreman, lead, or lead position. A professor who supervises a PhD dissertation is an example of one of the most senior members of staff who can serve as a supervisor.
On the other side, supervision can be done by someone without this official designation, such as parents. Any employee who has this responsibility as part of their job description can be referred to by the word "supervisor" in its own right. Employees that are unable to do the aforementioned tasks lawfully are most likely not supervisors but fall under another category, such as work group leader or lead hand.
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Agnes Hammer is a senior majoring in management science. She has interviewed with several companies for a job when she graduates, and she is curious about what starting salary offers she might receive. She asked 12 of her classmates at random what their annual staring salary offers were, and she received the following responses
$28500 $35500
$32600 $36000
$34000 $25700
$27500 $29000
$24600 $31500
$34500 $26800
Compute the sample mean and sample variance for these data. (Please write down the calculation process)
Suppose the starting salaries are normally distributed, the mean is the same as the sample mean and variance is the same as sample variance that you calculate from the previous question. What is the probability that Agnes will receive a salary offer of less than $27000? (For probability of normal distribution, please use the probability table posted on Blackboard)
Suppose the starting salaries are normally distributed, the mean is the same as the sample mean and variance is the same as sample variance that you calculate from the previous question. What is the probability that Agnes will receive a salary offer of between $27000 and $40000 (meaning 27000<= salary <= 40000)? (For probability of normal distribution, please use the probability table posted on Blackboard)
Mean = 30516.67
Standard deviation, s = 3996.55P(x < 27000) = 0.0011518Step-by-step
explanation:
Given the data:28500 35500 32600 36000 34000 25700 27500 29000 24600 31500 34500 26800Mean, xbar = Σx / n = 366200 /12 = 30516.67
Standard deviation, s = [√Σ(x - xbar) / n-1]Using calculator, s = 3996.55
The ZSCORE = (x - mean) / s/√nZscore = (27000 - 30516.67) / (3996.55/√12)Zscore = - 3516.67 / 1153.7046Zscore = - 3.048P(x < 27000) = P(Z < - 3.049) = 0.0011518By standard deviation,
what do you mean?The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.
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which document outlines how to communicate standards, procedures, and baselines that help an employee perform their job safely and effectively?
User Education and Awareness Policy outlines how to communicate standards, procedures, and baselines that help an employee perform their job safely and effectively,
What is meant by user education?According to Fleming, user education is any of the various programs of instruction, education, and exploration that libraries offer to their patrons in order to help them use the information sources and services that these libraries give them access to more effectively, efficiently, and independently.
User education is any official or informal attempt to assist current and prospective users in identifying and formulating their information needs, using information services effectively and efficiently, and evaluating sources of information that can satisfy certain requirements.
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a strategic alliance is a type of blank firms use to expand into the foreign market. multiple choice question. global licensing strategy global exporting strategy global entry strategy foreign direct investment
A strategic alliance is a type of global entry strategy firms use to expand into the foreign market. The correct answer would be option C.
A strategic alliance is an agreement between two businesses to work together on a project that will benefit both parties while maintaining their individual freedom. Compared to a joint venture, which involves two companies pooling resources to form a new business organization, the arrangement is less intricate and legally enforceable.
A business could form a strategic alliance to increase its market share, enhance its product offering, or gain an advantage over rivals. The agreement enables two businesses to collaborate on a mutually beneficial project. The partnership could last a short while or be ongoing, and the contract could be formal or informal. Despite the fact that the strategic alliance may be informal, each member's duties are well-defined.
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knowledge check when investors doubt the creditworthiness of a borrower, what should happene to the price and yield of the bond
knowledge check when investors doubt the creditworthiness of a borrower, what should happen to the price and yield of the bond Prices go down, yield goes up.
An investor is a person who allocates monetary capital with the expectancy of a future return (earnings) or to advantage a bonus (interest).[1][2] thru this allocated capital most of the time the investor purchases some species of assets.[3] kinds of investments consist of equity, debt, securities, actual property, infrastructure, foreign money, commodity, token, derivatives consisting of placed and contact alternatives, futures, forwards, etc.
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scenario: assume that empathy state bank begins with the balance sheet shown and is not fully loaned-up. if this bank is subject to a reserve requirement of 5%, how much more can it loan out if it wants to be fully loaned-up?
Empathy state bank begins with the balance sheet shown and is not fully loaned-up. if this bank is subject to a reserve requirement of 5%, The amount of its excess reserves is $5000.
The assets, liabilities, and owner equity of a company are listed on the balance sheet as of any given date. Usually, a balance sheet is created at the conclusion of predetermined periods (e.g., every quarter; annually). In a balance sheet, there are two columns. The company's assets are listed in the column on the left. A balance sheet provides you with a quick overview of your company's financial situation at any given time. A balance sheet, along with an income statement and a cash flow statement, can aid business leaders in assessing the financial health of their organization. The purpose of a healthy balance sheet is to fund the company's core operations with an optimum amount of working capital (current assets less current liabilities), ultimately generating revenue and profit. It's critical for a firm to comprehend what that ideal level is. The balance sheet is crucial because it informs you and other interested parties about your financial situation. Making better management decisions can be aided by keeping this information current. It can also enhance your operating effectiveness, borrowing capacity, and overall financial stability.
Excess Reserves = $100,000*5%= $5000.
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Assume that the Empathy State Bank begins with the balance sheet below and is fully loaned up. Empathy State Bank Assets Liabilities Vault Cash $2,500 Deposits $100,000 Deposits at the Federal Reserve 7,500 Loans 90,000 Reference: Ret 12-1 If this bank is subject to a reserve requirement of 5%, what is the amount of its excess reserves? A $2,500 B. $5,000 C. $10,000 D. Negative.
ezekiel agrees, for a certain fee, to serve as a private investigator for macy's and company, a new york retail establishment. to support a contract, the consideration exchanged by the parties must a. wisely priced. b. adequately considerate. c. equally valuable. d. legally sufficient.
To support a contract, the consideration exchanged by the parties must be d. legally sufficient.
In the field of business, a contract can be described as an official document that represents a bond or offer that has been made by two people, organizations,s or firms.
The considerations that are made inside the contract are legally sufficient for both parties to start the contract. Any kind of consideration that is made in the contract and is not followed will cause a case to be done against the person in the contract.
In the scenario mentioned in the question, the considerations that are made by Ezekiel and Macy's and the company should be legally sufficient.
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what responsibilities do project managers have during the forming stage of team development? select all that apply.
The responsibilities do project managers have during the forming stage of team development is to Provide context about the project and clarify project roles and goals.
Who is a project manager?An expert who organizes, plans, and manages projects while adhering to constraints like budgets and timetables is known as a project manager. Project managers oversee the work of entire teams, establish the objectives of a project, consult with stakeholders, and see it through to completion.
Major responsibilities include managing overall production of the essential deliverables. planning and monitoring the project. utilizing any delegation and project assurance responsibilities while adhering to predetermined reporting structures.
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the statement a kodak all-in-one printer may cost a little more, but you'll pay far less for replacement ink than you will with other printers . a. gains attention by describing a problem b. builds interest in a product c. motivates action d. reduces resistance
Gains attention by asking a question that focuses on reader benefits as there is effective pricing.
Thus, the correct option is A.
What is effective pricing?A successful pricing strategy will correctly match the value your service offers with the willingness to pay of your target market.
Perhaps the most significant pricing tactic of all is value pricing. This considers how valuable, important, and beneficial your customers consider your goods or services to be.
Depending on the sector and type of business, value-based, competition-based, cost-plus, and dynamic pricing are all regularly employed approaches.
Less costly products are frequently associated by consumers with subpar production values.
The value of a product is typically correlated with its price. A price that is excessively high could prevent a customer from purchasing it.
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8. natural monopoly analysis the following graph shows the demand (d) for electricity services in the imaginary town of utilityburg. the graph also shows the marginal revenue (mr) curve, the marginal cost (mc) curve, and the average total cost (atc) curve for the local electricity company, a natural monopolist. on the following graph, use the black point (plus symbol) to indicate the profit-maximizing price and quantity for this natural monopolist. monopoly outcome 0 1 2 3 4 5 6 7 8 9 10 40 36 32 28 24 20 16 12 8 4 0 price (cents per kilowatt-hour) quantity (thousands of kilowatt-hours) d mr mc atc which of the following statements are true about this natural monopoly? check all that apply. the electricity company is experiencing economies of scale. the electricity company must own a scarce resource. the electricity company is experiencing diseconomies of scale. it is more efficient on the cost side for one producer to exist in this market rather than a large number of producers. true or false: without government regulation, natural monopolies can earn positive profit in the long run. true false
True, because it is difficult to enter a market, natural monopolies can limit output and raise prices without government intervention.
What is Natural Monopoly?If there are no barriers to entrance into the market, there is said to be a natural monopoly. Economy of scale and ownership of a valuable natural resource are the entry hurdles that lead to a natural monopoly. Government regulation can govern the market to avoid pricing discrimination but it cannot force businesses to enter or leave the market.
A particular type of monopoly known as a "natural monopoly" arises when there is only one business that can successfully also provide service in a given area because of high start-up costs and significant economies of scale. A company with a natural monopoly could be the exclusive provider of a good or service in a certain industry or geographic area.
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to compute cash flows from financing activities, accountants normally analyze changes in all of the following accounts except:
To compute cash flows from financing activities, accountants normally analyze changes in all of the following accounts except: Common stock, retained earnings, bond payable, notes payable but not interest payable.
The portion of a company's cash flow statement titled Cash flow from Financing Activities displays the net cash flows utilized to fund the business. Deeds including debt, equity, and dividends are examples of financing operations.
Add your dividends paid to the repurchase of debt and stock to get your cash flow from financing operations. Next, deduct the sum from cash inflows from issuing equity or debt to arrive at your cash flow from financing activities. Likewise, a cash flow statement has them.
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this proposal is not without its critics, however. generally, what might be some of the concerns of this type of engineering strategy? check all that apply.
Since Sulphur dioxide after volcanic eruption will lead to increased amount of gas particles in the atmosphere which will increase. Technical specifications that outline the logic behind a certain solution to a given problem serve as the foundation of an efficient engineering strategy.
A "diagnostic and guiding policy" document is then graduated when a pattern becomes more obvious. Making decisions to achieve the bigger company vision is the focus of an engineering strategy. vision and strategy. Writing the vision and plan places the organisation on a road to reach the goal, one of atmosphere that may lead there. By thoroughly analysing the resources that are already available for a project, strategic planning assists project managers in making well-informed decisions by assessing, monitoring.
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information technology can be utilized to do all of the following except build silos of responsiblites with limited interaction between store managers, designers, and market specialists
Information technology can be utilized to do all of the following except build silos of responsibilities with limited interaction between store managers, designers, and market specialists: job rotation
Information is the practice of creating one's living or earning money by producing or buying and promoting products. it's also "any interest or agency entered into for income."
Commercial enterprise information is information that holds means, fee, or importance to your commercial enterprise. it might encompass any reviews, spreadsheets, metrics, regulatory reporting, net pages, files, dashboards, etc that fit the definition of having which means, value, or importance on your business. enterprise information is all the facts that are associated with a business enterprise, which include income data, customer contact facts, and even internet site visitor statistics.
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kileau corp., a calendar tax-year s corporation, terminated its s corporation status on september 22, 2018 when it failed the shareholder requirements. what is the first date on which kileau can re-elect s status?
Kileau Corp. can re-elect S status on January 1, 2019.
According to the IRS, a corporation that terminates it's S corporation status can re-elect S status only " on the first day of the first taxable year following the taxable year in which the termination occurred." Since Kileau Corp. terminated it's S corporation status on September 22, 2018, the first day of the first taxable year following that termination is January 1, 2019.
Re-electing S Corporation Status: An OverviewS corporations are a special type of business entity that offer certain tax benefits to their shareholders. However, the requirements for maintaining S corporation status are complex and must be met in order for a company to continue to qualify for these benefits.
In some cases, a company may find that it has failed to meet the requirements for S corporation status, resulting in the termination of its status. When this occurs, the company may choose to re-elect S corporation status in order to take advantage of the tax benefits available to S corporations.
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a binding price floor in a market is removed. which of the following is likely to occur as a result? the supply of the item will rise. the market price will fall. the demand for the item will fall. the market price will rise.
The market experiences surplus supply when a binding price floor is implemented. In other words, there is more supply than demand. If the price floor is lifted, the market price begins to decline and will do so until it reaches the equilibrium level.
It is forbidden to purchase and sell at the equilibrium price or any other price that is lower than the price floor when there is a binding price floor. Non-binding price floors are those that are set below the equilibrium price.
There will be no change in the cost or availability of the product on the legal market. There may be a shortage if the supply is insufficient to meet demand if the price ceiling is set below the equilibrium price.
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Ryan Cozzens withdraws $400 from his checking account at the local bank and keeps it in his wallet. a. How will the withdrawal change the T-account of the local bank and the money supply?
b. If the bank maintains a reserve ratio of 10%, how will it respond to the withdrawal? Assume that the bank responds to insufficient reserves by reducing the amount of deposits it holds until its level of reserves satisfies its required reserve ratio. The bank reduces its deposit by calling in some of its loans, forcing borrowers to pay back these loans by taking cash from their checking deposits (at the same bank) to make repayment. c. If every time the bank decreases its loans, checkable bank deposits fall by the amount of the loan, by how much will the money supply in the economy contract in response to Ryan's withdrawal of $400?
d. If every time the bank decreases its loans, checkable bank deposits fall by the amount of the loan and the bank maintains a reserve ratio of 20%, by how much will the money supply contract in response to a withdrawal of $400?
The bank must withdraw $3,600 from its deposits.
$1,600.
What is T-account?
A collection of financial records that employ double-entry bookkeeping are referred to informally as T-accounts. Because of the way the book keeping entries are organized, the account is known as a T-account. Just above the T, the account title can be seen.
The T-account instructs accountants on how to enter information in a ledger to obtain an adjusting balance, ensuring that revenues and expenses are equal.
Debits and credits may represent increases or decreases for various accounts, but they must always be recorded on the left and right sides of the T's outline, respectively. After any financial transaction takes place, a T-account can reflect the three main elements of the balance sheet: assets, liabilities, and shareholders' equity (SE).
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The financial statements of Concord Manufacturing Company report net sales of $744600 and accounts receivable of $86000 and $16000 at the beginning and end of the year, respectively. What is the average collection period for accounts receivable in days?
42.2 days
50.0 days
7.8 days
25.0 days
The average collection period for accounts receivable in days is 25 days. The answer is D.
What is account receivable?It is the proceeds or payment which the company will receive from its customers who have purchased its goods and services on credit. Usually the credit period is short ranging from few days to months or in some cases maybe a year.
How to calculate average collection period for accounts receivable in days
= 365 / average account receivable turnover ratio
Average account receivable turnover ratio
= net credit sales / average account receivable
= $744,600 / ((86,000 + 16000)/2)
= 744,600 / 51,000
= 14.6
Average collection period for account receivable in days
= 365 / 14.6
= 25 days
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Jack M. Balkin says that people and business entities act as information fiduciaries for each of the following scenarios. Which of the following is not one of the factors described in his vague formulation?
A. When businesses give people belief that they will not misuse personal information
B. When existing social norms or patterns of practice justify the trust people put in the business
C. When businesses hold themselves out as respecting privacy to gain trust
D. When people pay money and the business is required by law to protect the information
The right response is (b), i.e., when prevailing social standards or patterns of behavior support people's faith in the company.
What does Jack M. Balkin have to say regarding "information fiduciaries"?A fiduciary is a person or entity that has a legal duty to act honorably and in the best interests of another. Examples include the specialists and managers who look after our estates or finances. An information fiduciary is a person or business that transacts in information as opposed to money. Doctors, attorneys, and accountants are a few examples; they must keep our secrets private and are not allowed to use the information they learn about us negatively to our interests.
The law expects accountants, attorneys, and doctors to operate honestly since they are people we trust and know a great deal about. In the event that they fail to do so, they run the risk of having their legal practice license revoked and being sued by clients. In some cases, the law even protects them from being required to reveal the private information they have learned.
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when sonya, who works for a toy manufacturer, ’visits a local toy store without an appointment to show the store owner the company’s new toys and games, this is an example of .
When Sonya, who works for a toy manufacturer, ’visits a local toy store without an appointment to show the store owner the company’s new toys and games, this is an example of cold calling.
A agency's income pressure includes its group of workers of salespeople. The function of the income pressure relies upon to a big volume on whether or not a agency is promoting at once to purchasers or to different businesses. In client income, the income pressure is generally worried without a doubt with taking and last orders.
A agency income pressure is composed of folks that are personnel of the promoting agency. Order taker. (An order taker is a salesclerk whose number one duty is to procedure recurring orders for products.
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true or false. servant leadership stresses the role of personal influence in the leadership process.
Answer: True
Explanation:
under the world trade organization's most-favored nation rule: all import restrictions imposed by other nations on their goods are illegal unless a cultural waiver is issued. all import restrictions are illegal unless proven scientifically. most-favored nations can oppose the dumping of goods by any nation in their home market. most-favored nations can impose heavy tariffs on other nations.
Under the world trade organization’s most-favored nation is rule so the correct option is all import restrictions are illegal unless proven scientifically.
What are the World trade organization?The sole international body dealing with international trade regulations is the World Trade Organization (WTO). The WTO agreements, which were negotiated, signed, and ratified by the majority of the world's trading states, form its foundation. The World Commerce Organization, or WTO, is a global organisation whose main goal is to promote free trade for the good of all. The WTO's overarching goal is to support its members in using trade as a tool to enhance people's lives, raise living standards, and generate jobs. The WTO manages the world trade system and aids poorer nations in increasing their trade capability.
What are the major issues in world trade?Globalization, also known as global commerce and investment, is currently a shared market condition for all nations in the world. It does, however, not come without difficulties. The globe is currently confronting seven significant obstacles to international trade and investment.
Economic Conflict
Polarization and competing concerns pose a serious threat to globalisation. There are more conflicts happening around the world, large economic forces are gaining power, financial penalties are being used as a weapon, and the Internet is disintegrating. As a result, there may be a slowdown in the flow of goods, information, and services across international borders.
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you are a contractor working on a 10-story condominium in ballard, wa that covers 5 acres. describe the elements required to be included in the stormwater pollution prevention plan (swppp) narrative
The SWPPP must include a description of each BMP put in place at the construction site, as well as a narrative evaluation of all areas of construction activity and possible sources of construction pollution that are expected to occur there.
What is swapp Narative?
By controlling facilities that release water pollutants, an SWPPP aids the Environmental Protection Agency (EPA) in maintaining and enhancing water quality. Due to the possibility that compost leachate might have significant concentrations of phosphorus or other contaminants, these pollutants are of concern.
Certain firms receive assistance from the Planning Program to reduce dangerous chemicals at their source, reduce the production of hazardous waste, and stop the release of pollutants into the environment. It outlines how we should safeguard and manage the sustainability of resources, air quality, water quality, and ecosystems, all of which are directly related to humanity's future. Additionally, it aids in avoiding any environmental harm brought on by technology growth.
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one of the ways in which president nixon and his secretary of state henry kissinger tried to weaken communism was by
By fostering closer ties with the Soviet Union and the People's Republic of China at a time when tensions between those two communist countries were rising, President Nixon and his secretary of state Henry Kissinger attempted to undermine communism.
The strategy of President Richard Nixon attempted rapprochement with both countries, which were hostile to both the United States and one another. He departed from the conventional American strategy of containing Communism in the hopes that all parties would want American favor.
According to political science, Henry Kissinger invented triangle diplomacy as a technique of managing ties between the rival communist nations, the Soviet Union and China, during the Vietnam War (1955–1975).
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what number do you put for k in a savings annuity formula problem when you need to figure out how much money you need to deposit now
Annuity Formula
The yearly interest rate is represented by the decimal r. The number of compounding periods in a calendar year is k.
On a calculator, how do you calculate an annuity?Annuity versus perpetuity
Calculating Effective Annual Rates.
Formula. C is the cash flow per period, I is the interest rate, and n is the frequency of payments. The present value of an annuity is equal to C(1(1+i)(n)))/i.
Annuity with a tax benefit.
How do you figure out interest when solving an annuity problem?The equation A = P(1 + rt) is ultimately used to determine the interest rate in a regular annuity.
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a major tire manufacturer nearly did not reach agreement with one of its major unions last time over health care coverage and retirement provisions. the contract has 10 months to go before expiration, but both sides are hard at work on the new contract. the detroit free press had a lead article that health care would be further reduced under the new agreement. at noon, after the workers had read and discussed the matter, they walked off the job to demonstrate their dissatisfaction with the proposed management action. what kind of technique is being used?
In the above scenario the workers are using wildcat Strike technique by walking off the job to demonstrate their dissatisfaction with the proposed management action.
Wildcat strikes are actions conducted by workers to halt work without the approval of their respective unions. Although these strikes are frequently in violation of a collective bargaining agreement, they are not always unlawful. The term is based on the unpredictability and uncontrollability that are stereotypically associated with wildcats. Employers, the media, and the government frequently use these descriptors, not the workers themselves. Employers and the government have always questioned the legitimacy of strikes in general because they pose a threat to their dominance, power, and interests.
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a large publishing company contracts with a freelance writer for the task of copyediting a new manuscript, instead of hiring a full-time copyeditor. this is an example of:
This is an example of outsourcing.
A manuscript is a handwritten or typed file, especially a writer's first version of an e-book before it's far posted. He had seen a manuscript of the book. discovering an original manuscript of the tune in Paris. I'm thankful to him for letting me study his early chapters in the manuscript.
A manuscript is a handwritten or typed record, in particular, the author's first version of an ebook earlier than it is posted. A manuscript is a written, typed, or word-processed report submitted to a writer via the researcher. Researchers meticulously create manuscripts to talk their precise thoughts and clean findings to both the medical network and the majority.
The cause of the manuscript is to talk about how you conducted the work and the consequences received so that your target market can verify the veracity of the consequences and the realization.
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Suppoe that the number of bacteria preent in a certain culture after t minute i given by the equation Q(t) = Q0 e0. 04t , where Q0 repreent the initial number of bacteria. How long would it take for the bacteria count to grow from 500 to 2000?
It takes the micro organism count 35 minutes to develop from 500 to 2000. The exponential characteristic is a mathematical characteristic denoted with the aid of using "> or }">} (wherein the argument x is written as an exponent).
The required details for exponential functions in given paragraph
How to decide the time to develop to the very last cost 2000?
The equation of the characteristic is given as
Q(t) = Q₀e⁰°⁰⁴ˣ
Also, we have:
A increase from 500 to 2000
This method that
Q₀ = 500 and Q(t) = 2000
Substitute Q₀ = 500 and Q(t) = 2000 in the equation Q(t) = Q₀e⁰°⁰⁴ˣ
So, we have
500e⁰°⁰⁴ˣ = 2000
Divide each facets with the aid of using 500
e⁰°⁰⁴ˣ = 4
Take the herbal logarithm of each facets
0.04t = ln(4)
This gives
0.04t = 1.3863
Divide each facets
t = 34.6575
Approximate
t = 35
Hence, it takes 35 minutes.
Unless in any other case specified, the time period normally refers back to the positive-valued characteristic of a actual variable, despite the fact that it is able to be prolonged to the complicated numbers or generalized to different mathematical items like matrices or Lie algebras. The exponential characteristic originated from the perception of exponentiation (repeated multiplication).
However cutting-edge definitions (there are numerous equal characterizations) permit it to be carefully prolonged to all actual arguments, including irrational numbers. Its ubiquitous incidence in pure and implemented mathematics led mathematician Walter Rudin to opine that the exponential characteristic is "the maximum vital characteristic in mathematics".
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operations are able to respond quickly to customers and changes in the environment in a decentralized organization because blank .
Operations are able to respond quickly to customers and changes in the environment in a decentralized organization because there are fewer managers that must be consulted before a decision is made.
Decentralized Organization. A shape wherein decision-making authority is delegated as a way down the chain of command as possible. -All massive corporations are de-centralized to a few extent. The fundamental downside of a decentralized business enterprise is that you lose manage over the everyday sports of your company.
Maybe “lose” is simply too sturdy a word, however you're ceding authority for your managers, this means that which you consider their instincts, skills, and talents. Decentralization in enterprise is whilst day by day operations and decision-making energy are delegated with the aid of using pinnacle control to middle-and lower-degree managers — and every so often even group members
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