A business generates $120 million in revenue, $70 million in gross profit, $50 million in operational income, and $24 million in net income. There are 10 million active shares. The operational margin of the business.
The business's retained earnings for Year 8 would be $20 million and its EPS for Year 8 would be $2.50. The company's total earnings for Year 8 would be $10 million (net income of $50 million less interest charges of $10 million less dividend payments of $30 million = $10 million) if we calculate EPS and retained earnings. In Year 8, the corporation would have an EPS of $2.50 and $20 million in retained earnings (net income of $50 million less dividend payments of $30 million). the business's credit standing would be no less than an A as operating profit exceeds annual interest expenses by a factor of seven.
The company's retained earnings for Year 8 would be $10 million (net income of $50 million less interest costs of $10 million less dividend payments of $30 million). Its EPS for Year 8 would be $5.50. The operational profit of $70 million less interest expenses of $10 million, less dividend payments of $30 million, or $30 million divided by 20 million shares, would result in the company's EPS for Year 8 being $1.50 operational income.
Now, the query can be responded to as follows: business
We may calculate the following from the question:
EPS is calculated as Net Income / Outstanding Common Stock, which is $50 million / 20 million shares, or $2.50.
Dividend payments equal the number of outstanding shares of common stock Dividend per share equals 20,000,000 * $1.50, or $30,000,000.
Net income minus dividend payments equals retained earnings, or $50 million minus $30 million, or $20 million.
The company's retained earnings for Year 8 would be $20 million (net income of $50 million less dividend payments of $30 million) and its EPS for Year 8 would be $2.50 (B) operational income.
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an organization plans the destruction of old hdds. in an effort to save money, the organization damages the media by impact, but they did not destroy all of the data. which method has the organization tried?
Base on findings the method the organization tried in an effort to save money, the organization damages the media by impact, but they did not destroy all of the data is Degaussing.
What is degaussing?Degaussing is a method use by persons or organization that is use to destroy data permanently from memory devices by removing the magnets or neutralizing the magnetic field in the memory devices which is normally use to store data for use. Degausser is the device use for degaussing..
Therefore, degaussing is the method the organization used to destroy data from media storage.
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the net asset value (nav) of an international bond fund can be expected to increase if interest rates rise abroad. interest rates fall abroad. the u.s. dollar strengthens. the u.s. dollar weakens.
The net asset value of an international bond fund can be expected to increase if, Interest rates fall abroad and the U.S. dollar weakens.
What is net asset value (nav)?
An investment fund's net asset value is calculated by dividing the number of outstanding shares by the net worth of the fund's assets less its liabilities. The price at which the shares of funds registered with the U.S. Securities and Exchange Commission (SEC) are traded is referred to as the NAV most frequently when discussing mutual funds or exchange-traded funds (ETFs).
The difference between an entity's assets and liabilities is referred to as the company's capital for businesses and other legal entities as well as its net assets or net worth. The fund value and price, which are determined by dividing the difference between assets and liabilities by the number of shares held by investors, are referred to as NAV.
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it's marketing's job to ensure that consumers have a seamless experience with brands, products, and services at all touchpoints across the globe. what are the three touchpoints?
Digital, analog, and personal are the three touchpoints. A touchpoint is a message or method by which a brand communicates with their target market, providing engagement and allowing the brand to be perceived favourably by the prospective customer.
What is touchpoints in marketing ?A touchpoint is any way for a consumer to interact with a business organisation, whether it is face-to-face, through a website, an app, or any other form of communication. When customers interact with these touchpoints, they have the opportunity to compare their prior perceptions of the company and form an opinion.
Touchpoints in marketing communications refer to the various ways in which a brand interacts with and displays information to prospective and current customers. Touchpoints enable customers to have experiences every time they "touch" any part of a product, service, brand, or organisation, across multiple channels and time.
Touchpoints are a component of the IMC that represent the brand communicators' willingness to use specific communication motives to reach the appropriate target audience.
When a customer buys a product or service, this is used to engage them in the pre- and post-purchase experience. Touchpoints enable prospective customers to learn about the brand and the benefits it provides, allowing them to decide whether or not to purchase the product or service.
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bruno's lunch counter is expanding and expects operating cash flows of $27,300 a year for 4 years as a result. this expansion requires $65,000 in new fixed assets. these assets will be worthless at the end of the project. in addition, the project requires $4,000 of net working capital throughout the life of the project. what is the net present value of this expansion project at a required rate of return of 14 percent?
The net present value of the expansion project is $2,889.50.
What is the net present value?Net present value is a capital budgeting method that is used to determine the present value of after-tax cash flows from an investment less the amount invested.
Only projects with a positive net present value value should be undertaken. A project that has negative net present value is not a profitable venture.
Net present value can be calculated using a financial calculator
Cash flow in year 0 = $-65,000
Cash flow in year 1 - 4= $27,300 - $4,000 = $23,300
I = 14 %
NPV = 23,000 / 1.14 + 23,000 / 1.14² + 23.000 / 1.14 + 23,000³ / 1.14^4
NPV = $2,889.50
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learning curves are a strong competitive weapon, especially in developing group of answer choices a. a pricing strategy b. an advertising campaign c. a long-term customer d. none of the above
Learning curves are a strong competitive weapon, especially in developing group of (a) a Price strategy.
What are Learning Curves?
The relationship between a person's level of competence and their experience is represented graphically by a learning curve. The horizontal axis represents experience, while the vertical axis represents proficiency; hence, the more often a person, group, business, or industry performs a task, the better they perform at it.
What are the different types of learning curve?
1. Diminishing-Returns Learning Curve
2. Increasing-Returns Learning Curve
3. Increasing-Decreasing Return Learning Curve
4. Complex Learning Curve.
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for the year ending december 31, beard clinical supplies co. mistakenly omitted adjusting entries for (1) $7,590 of unearned revenue that was earned, (2) earned revenue that was not billed of $11,990, and (3) accrued wages of $5,450. indicate the combined effect of the errors on (a) revenues, (b) expenses, and (c) net income.
Unearned revenue is the money a company receives from a client or customer but has not yet received the services required to earn it. It is seen as a duty that the corporate entity is required to fulfill.
What exactly is unearned income?
Unearned revenue is money received by a person or business for a good or service that hasn't yet been rendered or supplied. It indicates a debt owing to the client and is listed as a liability on a company's balance sheet.
What exactly is unearned income and when does it happen?
When a business sells a product or service before the client receives it, unearned revenue results. Customers who pay in advance for goods or services frequently enjoy discounts.
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merchandise with an invoice price of $5,000 is purchased on september 2 subject to terms of 2/10, n/30, fob destination. freight costs paid by the seller totaled $200. what is the cost of the merchandise if paid on september 12, assuming the discount is taken? $5,200 $5,096 $4,704 $4,900
When a potential customer enters your store, merchandise refers to everything you do to advertise and sell your products. When we discuss merchandise, we are usually referring to goods that may be purchased, usually in a retail setting.
Explain about the merchandise ?Any item you can sell or buy is referred to as merchandise. The term "merchandise" refers to any good that is offered for sale; some examples are groceries at a supermarket, clothing in a retail setting, electronics online, and raw materials in a manufacturing facility.
Given:
On September 2, an invoice for $5,000 is paid under the conditions of 2/10, n/30, and fob destination.
The Seller paid a total of $200 for freight.
Expenses are paid on September 12.
Because September 12 is still inside the 10-day discount period, the payment is made net of discounts.
5,000 x 2% = 100
5,000 - 100 = 4900
If made on September 12, the needed payment is $4900.
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which statement accurately depicts the current growth of the global capital market? multiple choice question. it is growing slowly. it continues to decline. it is growing quickly. it has stagnated in the past decade.
The statement that is used to accurately depict the current growth rate of the global capital market is that it is growing quickly.
What is the global capital market?The global market can be described as the market where savings would have to meet with a lot of investments.
This is the market where the capital is the savings that is made by the private individuals. In this market, capital that is gotten is as a result of funds that would have tp come from hedge funds, pension and other forms of people that are seeking for interests.
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massive dynamic computers sources the components for its laptops from various suppliers on the market. the firm pays $100 for processors, $35 for disk drives, $50 for screens, $10 for memory, and $40 for graphics and wireless internet cards. massive dynamic has determined that it would cost $200 per unit to produce all of the necessary components in its in-house manufacturing facility. in this scenario, massive dynamic should
Given that at the moment Gold Leaf spends roughly $235 to source a single unit (processor, disk drives, screens, memory, graphics, and wireless internet cards) various suppliers on the market.
A corporation often owns the whole supply chain when employing a vertical integration strategy (such as sourcing, manufacturing, and various suppliers distributing). The ideal course of action for Gold Leaf in this situation would be vertical integration because it will standardize its sourcing, suppliers, and distributors, lowering the overall costs associated with producing one unit.
The Gold Given that at the moment Gold Leaf spends roughly $235 to source a single unit (processor, disk drives, screens, memory, graphics, and wireless internet cards). Leaf should choose a vertical integration various suppliers plan for better control over its supply chain because producing their own products in-house will directly cut the overall cost by $35 and cost roughly $200 each unit.
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a(n) is a specific version of a product, while a(n) is a group of closely related products that are considered to be a group because of marketing, technical, or end-use considerations.
product item is a specific version of a product, while product line is a group of closely related products that are considered to be a group because of marketing, technical, or end-use considerations.
What is marketing?
Marketing is the process of discovering, developing, and delivering value to satisfy a target market's needs for products and services. It may involve choosing a target audience, choosing particular qualities or themes to emphasise in advertising, running advertising campaigns, participating in trade shows and public events, designing products and packaging that appeal to consumers, and defining the terms of sale, such as the purchase price, discounts, warranties, and return policies. The seller, who is typically a retailer or manufacturer, is responsible for marketing.
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r. snook had a fee simple estate and sold it to mr. dunn, but kept a life estate based upon his own life and remained in possession. mr. snook then sold his interest to mr. britt and gave possession to mr. britt. when mr. dunn heard of the sale, he demanded possession of the property. who is entitled to possession?
Mr. Britt, is entitled to possess the property or the estate until Mr. Snook dies.
Real estate is any immobile property of this kind that has a stake in a piece of land, a building, or property in general. It also includes the natural resources on the land, such as water, crops, minerals, and minerals. In legal terminology, real refers to real property, which is distinct from personal property, and estate refers to a person's "interest" in that real property. Real estate is distinct from private possessions, which includes things like cars, yachts, jewels, furniture, equipment, and a farm's rolling stock but is not affixed to the land permanently.
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your bagel shop sells bagels for $1.00 each and currently employs 4 bakers. the marginal product of the last worker hired is 12. the current wage is $8. could you increase profits?
Yes you could increase profits by hiring at least one more worker. The extra production that occurs from adding one unit of an input, like labour, to the current combination of productive elements is known as the marginal product of that input.
marginal product The change in output that results from a change in an input per unit while holding all other input components constant is known as the marginal product. Examples include labour, supplies, etc. Given that all other factors remain constant, the marginal product of labour is determined by dividing the change in output by the change in labour.
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while the industry for 5g compatible devices is in the introduction stage, the industry for 3g compatible devices are in the maturity stage. what does this imply?
While the industry for 5g compatible devices is in the introduction stage, the industry for 3g compatible devices are in the maturity stage. It implies that the market for 3G compatible devices has reached its maximum size, whereas the market for 5G compatible devices is still small in size.
The market for 3G-capable gadgets has achieved its maximum size, whilst the market for 5G-capable gadgets is still rather modest. The fourth stage of an industry's life cycle is when the industry structure changes into an oligopoly with a small number of dominant companies. Since the market has grown to its maximum size, future industry demand is probably going to be nil or perhaps negative. However, the initial market size is extremely tiny at this point.
The phrase "industry life cycle" refers to the four stages through which an industry or business grows. Each stage is characterized by certain commercial characteristics. The four stages of an industry's life cycle are introduction, growth, maturity, and decline. Industries are founded when new products are developed, but it is unclear how big the market will be, what the products will look like, and who the main competitors will be.
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average total cost is increasing whenever a. marginal cost is less than average total cost. b. marginal cost is greater than average total cost. c. marginal cost is increasing. d. total cost is increasing
Average total cost is increasing whenever Marginal cost is greater than average total cost.
The AVC (average variable cost), ATC (average total cost), and MC (marginal cost) all rise in tandem with an increase in the price of the variable input. The relative position and shape of the curves remain unchanged. Only the ATC moves up when the price of the fixed input goes up.Typically, they have a U form. The connection between the ATC and the MC, ATC is dropping whenever MC is less than ATC. ATC is rising whenever MC exceeds ATC.Every time the MC rises, the ATC also does. Models of the VC curve depict it as a horizontal line. MC stands for the variation in total cost related to the manufacturing of another unit TC = FC + VC + MC.Thus the correct option is B.
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a forklift operator in an auto parts warehouse, haider recognized that his employer did not follow osha standards such as pre-shift safety inspections, enforcing speed limits, or ensuring all forklift operators were certified. after a coworker was seriously injured on the job, haider acted as a(n) and filed a report with osha and gave an interview to the local news.
Haider acted as a whistleblower after a coworker suffered a serious workplace injury, reporting the incident to OSHA and speaking with the local media.
A whistleblower is what?
A whistleblower is someone who discloses information about activity inside a private or public organization that is thought to be unlawful, immoral, illicit, dangerous, or fraudulent. They are frequent employees. Whistleblowers can share information or accusations through a variety of internal or external channels.
In the hopes that the company will address and resolve the problems, over 83% of whistleblowers report internally to a supervisor, human resources, compliance, or a neutral third party within the organization. A whistleblower may also make allegations public by speaking with outside groups like the press, the government, or law enforcement. Both the public and private sectors are susceptible to whistleblowing.
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fred has heard rumblings from some creditors about forcing friendly foam into bankruptcy before he is ready just so they can get paid more quickly. he asks you whether this is just bluster or an action the creditors can actually take. how should you respond?
Yes, it is true that creditors can file petitions, and these are allowed under bankruptcy chapter. So, what Fred heard is true.
A creditor is an individual or organization that offers other party money to borrow money, often through a loan arrangement or agreement. Creditors are frequently divided into personal and actual categories.
People who lend money to their friends, families, or a business that beneficial for a variety service or supplies to a business or individual but permits a delays and cost overruns may be regarded as private creditors.
Real creditors are bankers or financial businesses with contractual arrangements and loan commitments that grant the lender the power to seize any of the borrower's tangible goods or security if person fails to repay the loan.
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xyz company is paying a 25% stock dividend to its common stockholders. if an investor owns 100 shares at $120.00 before the stock dividend, how many shares will the investor own and at what price per share after the dividend is paid?
125 shares for 96 dollars.
How do dividends from stocks appear in a journal entry?
Cash Dividends Payable (a liability account) and Retained Earnings (a stockholders' equity account) are both debited and credited in the journal entry for the declaration of the cash dividends.
What is a dividend on stock of 10%?
Each shareholder will receive an additional share of stock for each ten shares held if the board of directors approves a 10% stock dividend. The corporation will not benefit from the stock dividend, so the value of each share should decrease because each shareholder will receive additional shares.
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which category of funds is used to account for most of the day-to-day public services provided by a government? a. fiduciary type funds b. enterprise type funds c. proprietary type funds d. governmental-type funds
The category of funds used to account for most of the day-to-day public services provided by a government are called governmental-type funds.
What are the types of governmental funds?General Fund
A general fund is the term used to describe the main operating money for the entire government. It functions partly as a catch-all fund for assets that are neither required nor designated to another fund.. For instance, the general fund receives the federal government of the United States' tax revenue.
Funds for Special Revenue
These are used to keep an eye on the revenue restricted to specific uses from specific sources. It is the most frequently tapped fund, and most commonly, parks, schools, and libraries are funded with its help. The public has access to information on how much was spent on the creation or maintenance of these particular sources.
Fund for Debt Service
Long-term debt issued to finance certain government initiatives is repaid using a debt service fund. The principal as well as interest are inclusive.
Fund for Capital Projects
This takes into account the financial resources needed to build significant capital structures or projects. Work on long-lasting infrastructure, like libraries or governmental structures, is frequently included in capital projects.
Contingent Fund
A restricted endowment fund like this one generates and distributes funds to individuals who are eligible to receive them. For instance, the state's distribution of oil money to Alaskan citizens is one of the most well-liked permanent fund disbursements.
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for the retail inventory method, normal spoilage of inventory is treated as: multiple choice deducted in the retail column after calculating the cost-to-retail ratio. deducted in the cost column before calculating the cost-to-retail ratio. deducted in the cost column after calculating the cost-to-retail ratio. deducted in the retail column before calculating the cost-to-retail ratio.
The spoilage of inventory is deducted in the retail column after calculating the cost-to-retail ratio.
Inventory spoiling is the term used to describe how products naturally degrade while going through the production or inventory stages of the sales cycle. This is the product line degradation that is typically seen as inevitable and expected. Following the determination of the cost-to-retail proportion, spoilage is subtracted from the retail column.
By deducting the period's sales from the items that are currently on the retail market, the retail inventory technique first calculates the quantity of ending inventory at retail. The cost-to-retail ratio is then multiplied by the ending inventory at retail to arrive at the cost. Cost percentages are typically based on partnerships from prior years, which may not accurately represent the relationship at hand. An overestimation of the ending inventory may also result from failing to account for theft or inventory spoilage.
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deluge writing is preparing to launch a new product. the cfo has been asked to present a financing plan to the board. what would be his best approach if he wants to keep the company from being heavily leveraged?
As the CFO has been asked to present a financing plan to the board, his best approach to keep the company from being heavily leveraged from product launch will be to maintain a moderate debt level.
What do we mean by Financial leverage?Basically, a leverage means the use of debt (borrowed capital) in order to undertake an investment or project. The result of the process is to multiply the potential returns from a project but it will also multiply the potential downside risk in case the investment does not pan out.
Going forward, when we refers to a company as "highly leveraged," this means that item has more debt than equity. In conclusion, most investors use leverage to significantly increase the returns that can be provided on an investment.
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question content area prior to an adjusting entry, prepaid expenses have a.not yet been recorded as expenses b.not yet been recorded as expenses and not been paid c.been incurred and not yet paid d.been recorded as expenses and paid
Although they have been paid, prepaid expenses have not yet been reported as such.
Prepaid expenses are ones that have already been paid for but have not yet been reported as such by a business. To put it another way, prepaid expenses are costs that are paid in one accounting period but won't be recorded until a subsequent accounting period. Because they will have future economic benefits and will be expensed when those benefits materialize, prepaid expenses are initially reported as assets (the matching principle).
Referring to the first instance of prepaid rent, a company's financial statements are unaffected by the initial journal entry for a prepaid expense. Prepaid rent is debited in the first journal entry and cash is credited accounting period.
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an investor wishes to purchase 100 shares of an nyse-listed common stock. the instructions to the registered representative taking the order stipulate that the purchase is to be made as close as possible to the closing price of the stock. shortly after the order is entered, there is a level 3 trading halt. what is the effect of this halt on the investor's order?
The effect is that the order is cancelled.
A trading service will offer pricing data on a securities as a level III quote. The real-time bid price, ask price, quote size, cost and size of the most recent trade, as well as the day's high and low prices, are all included.
Institutions are permitted to send information, execute orders, and enter quotes at Level III. The level III service is only available to registered Nasdaq market makers since it provides a high level of market depth.
Shares of a publicly traded corporation are made available for trading on a stock exchange. A corporation that is listed in the United States has satisfied the Securities and Exchange Commission's (SEC) requirements for offering shares for sale to the general public and has been approved for trading on a market like the New York Stock Exchange.
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game theory a. is used to measure power b. was the approach taken by marx to analyze the international economy c. can be used to study strategic interactions between actors d. all of the above e. only b and c
Game theory can be used to study strategic interactions between actors.
Give a brief account on the Game Theory.The study of mathematical models of strategic interactions between rational beings is known as game theory. It first focused on two-player zero-sum games, in which each player's gains or losses are precisely balanced by those of the other players. Game theory is a broad word that refers to the study of logical decision-making in humans, animals, and computers in the twenty-first century. It is applicable to a wide range of behavioral relationships.
John von Neumann's proof of the mixed-strategy equilibrium in a two-player zero-sum game marked the beginning of modern game theory. The Brouwer fixed-point theorem on continuous mappings into compact convex sets was employed in Von Neumann's initial demonstration.
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the marketing department at kroger is using software to measure and interpret the effectiveness of a new promotional campaign it launched on sustainable seafood. it wants to evaluate the return on investment of the campaign and make changes to the campaign if needed. which tool is kroger most likely using?
The marketing decision support system tool is Kroger's most likely used.
A marketing decision support system, regularly abbreviated as MKDSS, is a gadget that facilitates you to attain a decision primarily based in your organization's advertising goals.
Advertising and marketing are complex, so anything which could streamline your efforts and provide you with an assisting hand is worthy of consideration.
Using this approach, it's far possible to predict with a high-quality deal of reliability what would appear if a selected situation has been chosen and pursued.
One main advantage of a marketing choice aid gadget is the ability to mission the outcomes of diverse situations earlier than making a real investment.
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the bid rate of the nzd is $0.3300 while the ask rate is $0.3350 at capitol federal. the bid rate of the nzd is $.3201 while the ask rate is $.3250 at midwest bank. calculate your profit if you use $1 million and conduct locational arbitrage.
We purchase 1 NZ dollar from bank Y at 0.325$ and sell it to Bank X at 0.33$
NZ dollars that can be bought by 1,000,000$ = 1,000,000/0.325 =3,076,923.077
Profit on 1,000,000$ = 3,076,923.077 *(0.33-0.325) = 15,384.62
Take your gross profit and add any extra earnings, then subtract your expenses. This gives you your internet income — a positive net income is earnings; a negative net income is a loss. Even agencies that have high gross earnings can submit losses if their charges get out of hand.
A P&L statement suggests a business enterprise's sales minus expenses for jogging the enterprise, which includes lease, a fee of products, freight, and payroll. Each entry on a P&L assertion affords perception into the cash glide of the organization and indicates where cash is coming from and the way it is used.
The income margin is a ratio of an organization's earnings (income minus all fees) divided by the aid of its sales. The income margin ratio compares earnings to income and tells you how nicely the organization is dealing with its budget normal. It is always expressed as a percent.
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when magazines publish special versions of an issue that contain editorial content and advertising geared to a specific demographic or regional grouping, this is known as
Regulated circulation a method of magazine distribution where readers who satisfy a set of advertiser-attractive requirements receive the publication free of charge. This entails free hotel and airline periodicals.
What are the 3 functions of magazine?MARKETING OF GOODS AND SERVICES.ENTERTAINMENT.SURVEILLANCE.Three broad categories of magazine publications are each of which includes more specialized magazines: general interest periodicals specialty publications. professional periodicals.
In general, magazine articles are concise, simple to read, and may have pictures or drawings. A magazine, at its most basic, offers material that may be more in-depth but less current than that of, say, a newspaper. A magazine frequently focuses on trends or concerns and can give context for breaking news.
The best publications not only provide their readers with excellent content, but they also do so in a friendly, conversational manner that builds a connection. An effective editor should leave his or her mark.
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surfshack corp. buys surfboards, wetsuits, and surf wax from rip to shreds, inc. for sale to consumers. what type of company is surfshack corp? multiple choice question. service business wholesale merchandiser retail merchandiser manufacturer
Buys surfboards, wetsuits, and surf wax from rip to shreds, inc. for sale to consumers. The type of company is surf shack corp is a retail merchandiser.
Merchandising is any practice that contributes to the sale of products to retail consumers. At the retail level, merchandising refers to the presentation of products that are sold in creative ways that induce customers to purchase more items or products.
Retail store clerks are responsible for ensuring that appropriate quantities of merchandise are available in stores and sold at appropriate prices. Clever planning, careful purchases, and smart advertising campaigns can increase your profits.
Merchandisers keep merchandise on retail shelves and present it appropriately to customers. They also track inventory levels, report problems and shortages to management, and clean up unwanted items for blatant violations of store decor.
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a sales contract that requires the seller to send the goods to the buyer but not to a specifically named destination is known as a(n) . group of answer choices
A sales contract that requires the seller to send the goods to the buyer but not to a specifically named destination is known as a shipment contract.
Define a shipment contract.
A shipment contract is a sort of contract that requires the seller of a good to entrust the goods to a carrier or transporter rather than delivering them directly to the customer. A seller commits to deliver products to a customer through a shipment contract, also known as a freight contract or a shipment agreement.
The seller will be responsible for any damage to the transported items up until they arrive at the point of shipping in addition to the "shipment" requirements. To put it another way, a shipment contract is an agreement that is both legally valid and enforceable between a buyer and a seller of goods who is then compelled to ship the products to the buyer.
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at the end of each quarter, patti deposits $500 into an account that pays 12% interest compounded quarterly. how much will patti have in the account in three years?
The account Patti owns will have $7096 in three years as per the compound interest.
Step- by- step explanation of compound interesttotal Quantum A = [tex]s( frac{( 1 frac{ r}{ n}){ n * t}- 1}{ frac{ r}{ n}})(/ tex)[/tex]
this is the formula used when certain quantum is added at regular intervals and if the interest is COMPOUNDED)
then,
s = deposit added at the end of each quarter = $ 500
n = number of times interest is compounded per unit' t' = 4
t = total time = 3 times
r = interest rate (expressed in numeric or bit not in) = 12/100 = 0.12)
A = 500[tex]( frac{( 1 frac{0.12}{ 4}){ 4 * 3}- 1}{ frac{0.12}{ 4}})(/ tex)[/tex]
by working further,
A [tex]=500(\frac{1.03)^{12}-1 }{0.03} )\\ \\ 500(\frac{1.42576-1}{0.03} )\\\\500(\frac{1.42576}{0.03})\\ \\=7,096[/tex]
(1.03) 12 = 1.42576(roughly)
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beginning three months from now, you want to be able to withdraw $3,400 each quarter from your bank account to cover college expenses over the next four years. if the account pays .56 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? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
You need to have in your bank account $607,142.9 to get $3,400 each quarter.
You must consider the fact that multiplying the starting amount by the percentage for computing interest when determining the initial sum of money in your bank.
Interest is calculated as follows: Initial Amount x Interest x Time
The following variables are available.
$3,400 = interest
Initial sum = What we are interested in
Interest = 0.56 percent, or 0.0056 each quarter.
Time = 1 quarter.
$3,400 = Initial amount x 0.0056 x 1
$607,142.9= Initial amount.
Thus, You need to have in your bank account $607,142.9 to get $3,400 each quarter.
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