The design specifications for the thickness of a component are 5.2cm ± 0.9cm. The process that makes this component produces it with an average thickness of 5.2cm and a standard deviation of 0.3cm.
1) What is LSL? What is USL?
2) What is the yield rate of this process?
3) What is Cp of this process?
4) Is this 3-sigma process or 6-sigma process?
5) Suppose there were some improvements in the old process and the standard deviation becomes 0.15cm instead of 0.3cm. Is this 3-sigma process or 6-sigma process?

Answers

Answer 1

LSL (Lower Specification Limit) = 4.3cm, USL (Upper Specification Limit)  = 6.1cm, Yield Rate  = 1.33, Cp = 1.33,

The answer to the design specifications

1) LSL (Lower Specification Limit) = 5.2cm - 0.9cm = 4.3cm

USL (Upper Specification Limit) = 5.2cm + 0.9cm = 6.1cm

2) The yield rate of this process can be calculated using the following formula:

Yield Rate = (USL - LSL) / (6 x Standard Deviation)

Yield Rate = (6.1cm - 4.3cm) / (6 x 0.3cm) = 1.33

3)Cp (Process Capability Index) can be calculated using the following formula:

Cp = (USL - LSL) / (6 x Standard Deviation)

Cp = (6.1cm - 4.3cm) / (6 x 0.3cm) = 1.33

4) This is a 6-sigma process because the specification limits are defined as ± 0.9cm, which is 6 times the standard deviation of the process.

5) If the standard deviation becomes 0.15cm instead of 0.3cm, the new process would be a 6-sigma process because the specification limits remain unchanged at ± 0.9cm, which is still 6 times the standard deviation of the process.

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Related Questions

What is the difference between ERA (resources, events, Agents) diagram and ER (entity-relationship) diagram?

Answers

The ERA (resources, events, agents) diagram and the ER (entity-relationship) diagram are both types of data modeling diagrams used in software engineering and database design. However, they differ in their approach to modeling.

The ERA diagram focuses on three main components: resources, events, and agents. Resources refer to physical or virtual objects that are relevant to the system being modeled. Events are the interactions that take place between these resources, and agents are the entities that participate in those interactions. In an ERA diagram, these components are connected by relationships that describe how they interact with each other.

On the other hand, the ER diagram focuses on entities and their relationships. An entity is a concept or object that is represented in the system being modeled, and relationships describe how these entities are related to each other. The ER diagram is typically used to model the structure of a database, and includes entities such as customers, products, and orders, as well as relationships such as one-to-one, one-to-many, and many-to-many.

In summary, the main difference between the ERA diagram and the ER diagram is the approach to modeling. The ERA diagram focuses on resources, events, and agents, while the ER diagram focuses on entities and their relationships.

2. A business entity is owned
Gramma.
What type of business is an example of
A sole trade

B patternship
C limited liabilities

Answers

A business entity is owned Gramma.   type of business is an example of sole trade.

What kind of enterprise is its own entity?

A corporation, sometimes known as a C Corp, is a business with its own legal identity and owners. Corporations are subject to taxation, are liable in court, and can turn a profit. Although corporations provide the strongest protection against personal responsibility for their owners, forming one is more expensive than creating other types of arrangements.

Do you have a sole proprietorship?

A company that is owned and run by one individual is known as a sole proprietorship (individual). This is the most basic type of corporate structure. A sole proprietorship is not a legitimate business. The proprietor is the owner of the business; the business has no existence apart from the proprietor.

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Savings accounts are never guaranteed by a government agency.
True
False

Answers

Answer:

True......................

False. Savings accounts are often guaranteed by a government agency. For example, in the United States, savings accounts are typically insured by the Federal Deposit Insurance Corporation (FDIC) up to a certain amount per depositor per bank. This insurance protects depositors in case the bank fails or is unable to return the depositors' money for some reason. Other countries may have similar government-backed insurance programs for savings accounts.

discuss with your friends or family
about which of the business presented in the
opinion poll (a business that sells high quality
cleaning products vs. a business that sells educational
toys) is a better idea for the current economic
climate.

Answers

A business that sells educational toys  is a better idea for the current economic climate, as the population is increasing and every parent want the best possible growth of their child.

The general status of the local, governmental, or international economy is referred to as the "economic climate". The status of the stock market, the employment market, or the accessibility of credit are typically indicators of the economic climate. It could also be a reflection of how investors, economists, businesses, and consumers see the state of the economy.

A particularly strong economic downturn, from 2.7 percent in 2022 to 1.3 percent in 2023, is predicted for advanced economies. A realistic alternative scenario with increased financial sector stress shows that by 2023, global GDP would have fallen to around 2.5 percent, with advanced economies' growth dropping below 1 percent.

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New Day Vitamin Company's __________ relies heavily on advertising, personal selling, and a limited use of product sampling.

Answers

New Day Vitamin Company's promotion mix relies heavily on advertising, personal selling, and a limited use of product sampling.

Why is this so?

New Day Vitamin Company's promotion mix relies heavily on advertising, personal selling, and limited use of product sampling.

A promotion mix simply means the blend of different promotional tools that are used by organizations to create and increase the demand for goods and services.

A company's promotion mix combines promotional tools such as personal selling, advertising, sales promotion, publicity, sampling, public relations, etc.

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one of the following is not a personal characteristics of successful leader​

Answers

Self-assurance is not one of the character attributes of a successful leader.

We feel better equipped for life's experiences when we are Self-assurance Confident people are more likely to seize opportunities and advance with others than they are to back away from them.

Confidence motivates us to try something again if the first time doesn't work out. The opposite happens when confidence attributes is low. Anybody can gain confidence over time. Even while it won't always be easy, those with a growth mentality are more likely to succeed in developing the confidence they desire in the areas they want it.

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Passage of the Affordable Care Act incorporated which of the following health insurance market reforms?

Answers

Answer:

The ACA establishes federal requirements that apply to private health insurance. The reforms affect insurance offered to groups and individuals; impose requirements on sponsors of coverage; and, collectively, establish a federal floor with respect to access to coverage, premiums, benefits, cost sharing, and consumer protections. Although such market reforms may be new at the federal level, many of the ACA’s reforms had already been enacted in some form in several states, withgreat variation in...

Consider two different potential projects at a company where you have worked, and do the following:

Discuss the benefits and costs that you would consider in deciding which is better for the company
Reflect on how information technology would affect this decision

Answers

Benefits, costs, and IT impact should be considered when deciding between two potential projects at a company.

The decision to choose between two potential projects should consider their benefits and costs, as well as the impact of information technology. Factors such as return on investment, time frame, risk, and strategic alignment should be evaluated. Additionally, information technology can affect the decision through factors such as project management, data analysis, and communication. IT can improve project success rates and reduce costs through the use of automation, analytics, and collaboration tools. Ultimately, a thorough analysis of the projects and their potential impact on the organization should be conducted to make an informed decision.

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your research of competitors shows prices of

Answers

According to the question, If you throw out the highest and lowest data points (outliers),  the mean of the remaining prices would be 63$.

Therefore the answer is Mean= 63$.

How to find?

Given in the question-

Research of competitors shows prices of $45, $78, $13, $125, and $66.

Now, we take out the highest and lowest data points.

So, 125$ and 13$ are taken out.

We add the left values-

- 78+ 66+45= 189

To find the mean we divide this sum by 3-

= 189/3= 63$

Hence, the mean is 63$.

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Briefly discuss the power of Occupational Safety and Health Administration (OSHA) with respect to citations and penalties.

Answers

Answer:

The Occupational Safety and Health Administration (OSHA) is responsible for enforcing health and safety regulations in the workplace. OSHA has the power to issue citations and penalties to employers who violate health and safety regulations.

If OSHA finds that an employer has violated a regulation, it can issue a citation. A citation outlines the specific regulation that was violated, and the proposed penalty. Employers have the opportunity to contest the citation and penalty, and can request an informal conference with an OSHA representative to discuss the issue.

OSHA can also issue penalties for violations. The penalty amount varies depending on the severity of the violation. Willful violations, which are the most serious, can result in penalties of up to $136,532 per violation, while serious violations can result in penalties of up to $13,653 per violation.

The power of OSHA to issue citations and penalties is an important tool for promoting workplace safety. The threat of citations and penalties can encourage employers to take safety seriously and to take steps to prevent workplace accidents and injuries.

Explanation:

?
When does personal information offen need to be entered online?
O when conducting an Internet search
when watching streaming videos
O when downicading free software
O when gaining access to a website

Answers

Answer:

when gaining access to a website

Calculate the Marginal cost and Marginal benefit to cleaning up the waste!

Answers

Marginal Cost: 50, 100, 350, 700 (in thousands of dollars)

Marginal Benefit: 800, 500, 350, 250 (in thousands of dollars)

How to explain the marginal benefits

The marginal cost of cleaning up from 16 million gallons to 12 million gallons is 50 - 0 = 50 thousand dollars.

   The marginal cost of cleaning up from 12 million gallons to 8 million gallons is 150 - 50 = 100 thousand dollars.

   The marginal cost of cleaning up from 8 million gallons to 4 million gallons is 500 - 150 = 350 thousand dollars.

   The marginal cost of cleaning up from 4 million gallons to 0 gallons is 1200 - 500 = 700 thousand dollars.

   The marginal benefit of cleaning up from 16 million gallons to 12 million gallons is 800 - 0 = 800 thousand dollars.

   The marginal benefit of cleaning up from 12 million gallons to 8 million gallons is 1300 - 800 = 500 thousand dollars.

   The marginal benefit of cleaning up from 8 million gallons to 4 million gallons is 1650 - 1300 = 350 thousand dollars.

   The marginal benefit of cleaning up from 4 million gallons to 0 gallons is 1900 - 1650 = 250 thousand dollars.

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what you’ve learned in this class regarding international business? Did your views or perceptions of international business change after taking this course? Why or why not? Please explain.

Answers

Many people view international business as a way to create economic growth and job opportunities.

How is international business perceived ?

Engaging in international business provides a unique opportunity for cultural exchange and understanding between nations. Through conducting commerce with other countries, people and companies acquire an alternate perspective on diverse customs, different ways of working and varying habits which can result in enhanced respect and admiration for diversity.

However, there are apprehensions towards the ethical concerns in such an undertaking, largely due to issues pertaining to labor practices, human rights as well as environmental impact. To some, involving oneself in global commerce is viewed merely as utilizing workers or exploiting resources outside their own country to increase monetary gain.

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Value of Kenyan Shilling falls against US dollar as demand for imports rises sharply in Kenya. --Information above to show a depreciation in the value of the Kenyan shilling (Ksh) against the US dollar (USD) on the global foreign exchange market from 100 Ksh = 1 USD to 100 Ksh = 0.8 USD.
Question: Explain why an increase in demand for imports will have this effect, other things unchanged.​

Answers

When the demand for imports increases, Kenyans need to buy more foreign currencies to pay for those imports, which puts downward pressure on the value of the Ksh relative to the USD.

Why an increase in demand for imports will have this effect, other things unchanged.​

When there is an increase in demand for imports, Kenyan consumers need to purchase more goods and services from other countries, which requires them to exchange their Ksh for the currency of the exporting countries, such as the USD.

This increased demand for foreign currencies increases the supply of Ksh on the foreign exchange market, while decreasing the supply of foreign currencies, such as USD. As a result, the price of Ksh falls relative to the USD, leading to a depreciation in the exchange rate between the two currencies.

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What is the FOCI Mitigation:

Answers

FOCI Mitigation entails the steps taken by America's federal government to counteract foreign ownership, direction, or impact (FOCI) over US-based companies working in sensitive industries such as national defense, telecommunications, and energy.

Importance of FOCI mitigation

The necessity for FOCI mitigation is due to the potential threat to security following foreign control of those American corporations operating within the aforementioned areas; so, when a non-US business seeks to purchase an American enterprise engaged in one of these sectors, the government comprehensively examines the exchange to determine if it could lead to FOCI.

In the instance that the United States government figures out that a foreign adquisition may consequently create FOCI, they will necessitate the US company involved in the transaction to enter into a contractual agreement with the US authorities. This agreement is understood as the FOCI Mitigation Agreement.

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Write an assay describing an opportunity that you thing could be turned into a small business

Answers

In today's world, there are endless opportunities for small businesses to thrive. One such opportunity that I believe has great potential is in the field of sustainable living. With the growing concern for the environment and the need to reduce our carbon footprint, there is a high demand for eco-friendly products and services.

One possible business idea is to create a company that specializes in the production and sale of reusable, environmentally friendly products such as reusable bags, water bottles, and food containers. With the increasing awareness of the negative impact of single-use plastics on the environment, there is a high demand for reusable products that can help reduce waste.

Another opportunity could be in the field of sustainable energy. With the increasing demand for renewable energy sources, there is a growing need for companies that specialize in the production and installation of solar panels, wind turbines, and other forms of sustainable energy. This business could also offer consulting services to help homeowners and businesses reduce their energy consumption and transition to renewable energy sources.

Another potential small business opportunity is in the field of online education. With the growing demand for online learning and the increasing availability of technology, there is a need for companies that specialize in providing online courses and training programs. This business could offer courses in a variety of fields, including business, technology, and creative arts.

In conclusion, there are many opportunities for small businesses to thrive in today's world. By focusing on sustainable living, renewable energy, and online education, entrepreneurs can create businesses that not only generate profits but also make a positive impact on the environment and society.

One opportunity that I believe could be turned into a small business is a meal prep service for busy individuals and families. With many people leading busy lives and struggling to find time to cook healthy meals, a meal prep service could provide a convenient solution.

The business could offer a variety of meal options to cater to different dietary needs and preferences. Customers could place their orders online and select the meals they want for the week. The business could also offer the option for customers to customize their meals by choosing their own ingredients.

To keep costs low, the business could partner with local farms and markets to source fresh, seasonal ingredients. The meals could be prepared in a commercial kitchen and delivered to customers' homes or workplaces. The business could also offer the option for customers to pick up their meals at a designated location.

In addition to providing a convenient solution for busy individuals and families, the business could also have a positive impact on the environment. By sourcing ingredients locally and reducing food waste, the business could promote sustainability and reduce its carbon footprint.

To market the business, the company could use social media platforms and local advertising to reach potential customers. They could also partner with fitness studios and gyms to promote healthy eating habits.

Overall, a meal prep service has the potential to be a successful small business by offering a convenient and healthy solution for busy individuals and families. By focusing on quality ingredients and sustainability, the business could differentiate itself from competitors and attract a loyal customer base.

Congress passing a law that gives people stimulus
checks to get the country out of a recession would
be an example of?

Answers

Answer:

Explanation:

Congress passing a law that gives people stimulus checks to get the country out of a recession would be an example of fiscal policy. Fiscal policy refers to the use of government spending and taxation to influence the economy. In this case, the government is using fiscal policy to stimulate the economy by providing direct financial assistance to individuals, which is intended to increase consumer spending and boost economic activity. The purpose of fiscal policy is to stabilize the economy and promote economic growth, and in this case, stimulus checks are being used as a tool to achieve those goals.

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Imagine that you wanted to specialize in working with senior citizens. What special needs might this group have? What kind of skills would you acquire if you specialized in this demographic? What kind of location would work well for this population?

Answers

The needs of senior citizens would require the ability of those who can handle geriatrics.

Why is this so?

There are special health conditions that come with those who are geriatrics or senior citizens.

This is because, as people age, the body no longer can repair it'self like before and becomes more frail, hence the need for more care.

So working with this kind of population will require skills such as:

Emergency resuscitationSpecial Nutrition etc.

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What is the FOCI Mitigation: Proxy Agreement

Answers

A Proxy Agreement is an FOCI mitigation strategy generally employed by the American government in order to restrict  foreign ownership, control, or influence (FOCI) over United States organizations that work within sensitive commercial areas.

What happens under Proxy agreement

Under a Proxy Agreement, the US firm will organize one or more American citizens to act as proxies and exert the voting powers which are owned by foreign proprietors. In most situations, these proxies are entirely impartial from both the US organization and the international owners.

This particular Proxy Agreement guarantees that foreign holders cannot pursue a direct influence on the US company's functions or decisions. The US government can also make use of the Proxy Agreement for monitoring the compliance with other FOCI impediment techniques being implemented by the same US business.

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Vertical analysis Sharma Company reported the following operating results for two consecutive years. Year 3 Amount Percentage of Sales Sales Cost of goods sold $ 800,000 450,000 Gross margin on sales Operating expenses 350,000 100,000 Income before taxes Income taxes 250,000 50,000 Net Income $ 200,000 Year 4 Amount Percentage of Sales Sales Cost of goods sold $1,000,000 590,000 Gross margin on sales Operating expenses 410,000 120,000 Income before taxes Income taxes 290,000 60,000 Net income $ 230,000 You are required to: Express each income statement component for each of the two years as a percentage of sales. Round percentages to one decimal point.

Answers

Cost of goods sold percentage for year 3 is 56.3% and for year 4 is 59%. Gross margin percentage for year 3 is 43.8% and for year 4 is 41%. Operating expenses percentage for year 3 is 31.3% and for year 4 is 29%. Income tax percentage for year 3 is 6.3% and for year 4 is 6%.  Net income percentage for year 3 is 25% and for year 4 is 23%.

To express each income statement component for each of the two years as a percentage of sales, we need to divide each component by sales and multiply by 100 to get the percentage.

Year 3

Cost of goods sold percentage = (Cost of goods sold / Sales) x 100 = (450,000 / 800,000) x 100 = 56.3%

Gross margin percentage = (Gross margin on sales / Sales) x 100 = (350,000 / 800,000) x 100 = 43.8%

Operating expenses percentage = (Operating expenses / Sales) x 100 = (100,000 / 800,000) x 100 = 12.5%

Income before taxes percentage = (Income before taxes / Sales) x 100 = (250,000 / 800,000) x 100 = 31.3%

Income taxes percentage = (Income taxes / Sales) x 100 = (50,000 / 800,000) x 100 = 6.3%

Net income percentage = (Net income / Sales) x 100 = (200,000 / 800,000) x 100 = 25%

Year 4

Cost of goods sold percentage = (Cost of goods sold / Sales) x 100 = (590,000 / 1,000,000) x 100 = 59%

Gross margin percentage = (Gross margin on sales / Sales) x 100 = (410,000 / 1,000,000) x 100 = 41%

Operating expenses percentage = (Operating expenses / Sales) x 100 = (120,000 / 1,000,000) x 100 = 12%

Income before taxes percentage = (Income before taxes / Sales) x 100 = (290,000 / 1,000,000) x 100 = 29%

Income taxes percentage = (Income taxes / Sales) x 100 = (60,000 / 1,000,000) x 100 = 6%

Net income percentage = (Net income / Sales) x 100 = (230,000 / 1,000,000) x 100 = 23%

Therefore, the income statement components as a percentage of sales for Year 3 and Year 4 are as shown above.

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What effects does the Federal Reserve have on the economy?
1. prices
2. individual income tax rates
3. income distribution

Answers

Prices is the effect that Federal Reserve have on the economy

What effects does the Federal Reserve have on the economy?

Thе Federаl Rеsеrvе hаs а significаnt impаct on thе eсonomy in vаrious wаys. Anywаy, оut of thе oрtions givеn, only thе first onе, "pricеs," is аffected by thе Federаl Rеsеrvе's аctions.

Thе Federаl Rеsеrvе is thе centrаl bаnk of thе United Stаtes, аnd it is respоnsible for mаnаging thе country's monеtаry policy. Thе Federаl Rеsеrvе hаs thе pоwer to influence interest rаtes, thе monеy supply, аnd thе аvаilаbility of credit. Thеse аctions, in turn, cаn impаct pricеs, ecоnоmic growth, аnd employment.

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Samsungs challenges associated with implementing a new AIS?

Answers

Samsung is at a disadvantage compared to its rivals because it loses concentration when it competes with too many businesses and product categories. It helped Samsung Company gain market share in numerous areas, but not much more than its competitors.

What are the challenges of Samsung company?

Overcoming a slump in the market for crucial chips. locating the upcoming big item. Ongoing legal issues. Bringing out a fresh "Samsung spirit." Finance industry globalization.

The organizational structure of Samsung has the drawback of giving the product-based divisions little autonomy. For instance, the product-based divisions must adhere to strategic orders from the company's headquarters in Seoul because of the centralised hierarchy.

In a limited way, Samsung also employs other common competitive tactics including cost leadership, differentiation emphasis, and cost focus. The firm becomes the best-cost provider in several areas for semiconductors and electronics components as a result of its cost-focused strategy.

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1.1 According to the dependency theory, what are some of the causes of inequalities
between African and European countries? Substantiate your discussion with examples from your own observation. (5)
1.2 Discuss the major criticisms against dependency theory. Substantiate your
discussion with suitable examples. (5)
1.3 Discuss differences between global and local PR and provide examples of
organisations that practise global and local PR in South Africa. (5)

Answers

Answer:

1.1 Causes of inequalities between African and European countries ccording  to dependency theory:

Dependency theory supposes that the underdevelopment of African countries is due to the exploitative relationship between developed European countries and underdeveloped African countries. Some of the causes of this inequality include:

Unequal trade relationships: African countries export raw materials and commodities to European countries at low prices, while European countries export manufactured goods to African countries at high prices.Foreign aid: African countries receive foreign aid from European countries, but this aid is often tied to conditions that benefit the donor countries rather than the recipient countries.Debt: African countries are burdened with debt owed to European countries and international financial institutions. The latter require them to implement policies that prioritize debt repayment over investment in social programs and infrastructure.

This scenario reflects in the relationship between the Democratic Republic of Congo (DRC) and Belgium. The DRC is rich in natural resources such as diamonds, copper, and cobalt, which Belgium has exploited for its own benefit since colonial times. The DRC continues to export these raw materials to Belgium at low prices, while Belgium exports manufactured goods to the DRC at high prices. Additionally, the DRC is burdened with debt owed to Belgium and international financial institutions. The latter requires the DRC to prioritize debt repayment over investment in social programs and infrastructure.

1.2 Major criticisms against dependency theory:

Dependency theory oversimplifies the relationship between developed and underdeveloped countries. It fails to consider other factors, such as political instability, corruption, and cultural differences.

Dependency theory ignores the agency of underdeveloped countries and assumes that they are passive victims of exploitation.

Dependency theory does not offer a clear solution to the problem of underdevelopment and instead focuses on blaming external factors.

An example of this criticism can be seen in the relationship between South Africa and its neighboring countries. South Africa is a relatively developed country. In contrast, its neighboring countries, such as Zimbabwe, Mozambique, and Malawi, struggle with underdevelopment despite their access to resources and aid. This is partly due to political instability, corruption, and cultural differences, which cannot be solely attributed to the exploitative relationship between South Africa and its neighbors.

1.3 Differences between global and local PR:

Global PR involves developing and implementing communication strategies that target audiences across different countries and cultures. This type of PR focuses on building a global brand and maintaining a consistent image across different markets. An example of an organization that practices global PR in South Africa is Coca-Cola. It has a consistent brand image and message across different countries and cultures.

On the other hand, local PR focuses on building relationships with audiences within a specific geographical area or community. This PR is tailored to the local context and considers local customs, languages, and values. An example of an organization that practices local PR in South Africa is Shoprite. It has adapted its marketing strategies to appeal to different communities within South Africa. For example, it offers products and services that are relevant to the specific needs and preferences of each community.

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Overall, both global and local PR are appropriate for organizations operating in South Africa. They must navigate different cultural and linguistic contexts while maintaining a consistent brand image and message.

Explanation:

According to the dependency theory, inequalities between African and European countries are largely due to the historical and ongoing relationship of dependency that African countries have with Europe.

What is dependency theory?

Dependency theory explains that the underdevelopment of African countries is due to exploitative relationships with European countries, caused by unequal trade relationships, foreign aid, and debt. An example is the relationship between the DRC and Belgium.

Major criticisms of dependency theory include oversimplification, ignoring the agency of underdeveloped countries, and a lack of clear solutions. An example is the relationship between South Africa and its neighboring countries. Global PR targets audiences across different countries and cultures, focusing on a consistent brand image, while local PR tailors communication strategies to specific geographical areas or communities, considering local customs, languages, and values. Examples include Coca-Cola and Shoprite in South Africa.

Therefore, as per the dependency theory, inequalities between African and European countries are largely due to the historical and ongoing relationship of dependency that African countries have with Europe.

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In two to three sentences, answer the following:
1. What is the most important information you need to receive a stock quote?
2. What information you can obtain from a stock quote?

Answers

The price of a stock as it is quoted on an exchange is known as a stock quote. A fundamental quote for a particular stock gives details such as the bid and ask prices, last traded price, and volume traded.

The price of a stock or equity investment that is quoted on an exchange is essentially what a stock quote is. The stock quote offers crucial data that brokers and traders can use. It contains details about the bid price and asks price, the most recent traded price, and the daily volume of trading.

A stock chart or table is a collection of data about a certain firm's stock that typically displays information on price fluctuations, the current market price, previous highs and lows, dividends, trading volume, and other business financial data.

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Pension funds pay lifetime annuities to recipients. If a firm remains in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $3.0 million per year to beneficiaries. The yield to maturity on all bonds is 20%.

Required:
a. If the duration of 5-year maturity bonds with coupon rates of 12% (paid annually) is 3.9 years and the duration of 20-year maturity bonds with coupon rates of 6% (paid annually) is 6.7 years, how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligation? (Do not round intermediate calculations. Enter your answers in millions rounded to 5 decimal places.)

b. What will be the par value of your holdings in the 20-year coupon bond? (Enter your answer in dollars not in millions. Do not round intermediate calculations. Round your answer to the nearest dollar amount.)

Answers

We need to hold $12.82051 million in 5-year maturity bonds and $25.64103 million in 20-year maturity bonds to fully fund and immunize the obligation.  the par value of our holdings in the 20-year coupon bond is $231,719.

To fully fund and immunize the obligation, we need to find the market value of each bond that would generate a cash flow of $3.0 million per year. Let x be the market value (in millions) of 5-year maturity bonds and y be the market value (in millions) of 20-year maturity bonds. Then we have:

0.12x + 0.06y = 3.0 (annual coupon payments)

3.9x/100 + 6.7y/100 = 0 (duration matching)

Solving these equations simultaneously, we get:

x = 12.82051

y = 25.64103

The par value of our holdings in the 20-year coupon bond can be calculated as follows:

Par value = Market value / (1 + YTM)^n

where YTM is the yield to maturity (20%) and n is the number of years to maturity (20). Substituting the values, we get:

Par value = 25.64103 / (1 + 0.20)^20

= $231,719.25

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How would you approach this using the excel functions of pv and pmt?
Here's the question:
You want to accumulate $1 million by your retirement date, which is 25 years from now. you will make 25 deposits in your bank, with the first occurring today. The bank pays 8% interest, compounded annually. You expect to receive annual raises at 3%, which will offset inflation, and you will let the amount you deposit each year also grow by 3% (i.e, your second deposit will be 3% greater than your first, the third will be 3% greater than the second, etc.) How much must your first deposit be if you are to meet your goal.

Answers

To approach this using Excel functions, we can use the PV (present value) and PMT (payment) functions to calculate the amount of the first deposit. Here are the steps:

1. Calculate the future value of the $1 million using the FV (future value) function:

=FV(8%, 25, 0, -1000000)

This returns a value of $4,660,962.91, which is the amount that will accumulate in 25 years at 8% interest.

2. Calculate the present value of the future amount using the PV function:

=PV(8%-3%, 25, -1*FV(8%, 25, 0, -1000000), 0, 1)

This returns a value of $1,257,407.11, which is the amount that needs to be deposited today to accumulate to $4,660,962.91 in 25 years at 8% interest with 3% annual raises.

3. Calculate the payment amount using the PMT function:

=PMT(8%, 25, -1*PV(8%-3%, 25, 0, 1257407.11, 1), 0, 1)*(1+3%)

This returns a value of $68,527.78, which is the amount of the first deposit.

So, the first deposit should be $68,527.78 to accumulate $1 million in 25 years with 8% interest, 3% annual raises, and 3% increase in deposit each year.

• please explain the 5 common strategies and actions of rival companies. with examples
Thank you.
( I need the answer no more 2 hours ).

Answers

Rival companies typically employ various strategies and actions to compete with each other in the market such as price competition, product differentiation, marketing and advertising, partnerships and price competition.

How companies compete

Here are five common strategies and actions that rival companies may use:

Price competition: In order to outbid competitors, this tactic entails reducing the cost of a good or service. This is frequently done to draw in consumers who are interested in the best bargain yet are price conscious.

Product differentiation: This tactic entails developing distinctive goods or services that distinguish them from rivals. Features, design, quality, or brand reputation can all be used by businesses to differentiate their products.

Marketing and advertising: Businesses utilize marketing and advertising to build their brands, boost revenue, and draw in new clients. In order to reach target audiences, this strategy calls for the creation of appealing marketing messages and the use of numerous channels.

Strategic alliances and partnerships: Strategic partnerships and alliances are created by businesses to obtain access to new markets, technologies, or resources. This tactic entails working with other businesses to accomplish common objectives.

Mergers and acquisitions: To expand market share, lessen rivalry, or gain access to cutting-edge technologies or resources, businesses may combine with or purchase rival businesses. For the purpose of achieving synergies and economies of scale, this strategy involves buying or merging with another business.

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Conciseness: Rewrite the following by omitting articles, rambling
sentences, and repetitions:
At this time I am writing to you to enclose the post paid appointment card for the purpose of arranging a
convenient time when we might get-together for a personal interview

Answers

The rewritten sentence is given thus: "Writing to enclose post-paid appointment card for arranging a convenient time to get-together for a personal interview."

How is this revised?

The original sentence was a formal, verbose way of conveying the writer is sending an appointment card and wishes to arrange a gathering with the recipient.

Rewrite simplifies by removing articles, superfluous words, and duplicators. The revised phrase is a succinct and direct indication of the author's intention.

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An investor purchased 50 shares of
stock in a company for $3,000. One
year later, the investor sold all 50
shares for $3,200. What is the
investor's rate of return?
A. 6.7%
C. -6.7%
B. 6.3%
D. -6.3%

Answers

Based on the given information, investor's rate of return is 6.7%. Thus the correct option is A.

The difference between the selling and purchasing prices is the total gain or loss of the investor.

Purchase price = 50 shares x $60 per share = 3000

Selling price = 50 shares x $64 per share = $3200

Total loss = $3200-$3000=$200

Rate of return = (total gain or loss / original investment) x 100%

Rate of return = ($200 / $3000) x 100%

Rate of return = 6.66

Since, the investor's rate of return is 6.66 which can be written as 6.7% in positive manner. Therefore, option A is appropriate.

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Question 2 of 10
When payroll expenses are journalized, each individual payable account is
entered as
OA. a debit and a credit
OB. a debit
C. neither a debit nor a credit
D. a credit

Answers

The correct option is D, a credit. When payroll charges are journalized the individual outstanding accounts are credited because these accounts represent quantities owed to workers for their stipend,salary and benefits.

Payroll expenses include employee salaries, wages, payroll taxes and employee benefits. These charges are debited to the payroll expenditure account in the general tally. when recording the quantities owed to workers for their salaries and benefits the corresponding outstanding accounts are credited. This means that the accounts outstanding balance increases, reflecting the volume the company owes its workers.

when the company pays its workers, the accounts payable balances are dropped by debiting accounts payable and crediting cash accounts.

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