In order to have $18,000 in a fund at the end of 10 years, P5,000 is deposited now and equal payments will be added to the funds at the end of 3, 4, 5, 6, and 7 years. Find these annual payments if the fund accumulates at 5%

Answers

Answer 1

Annual payments if the fund accumulates at 5% = $1,224.13 (approx)

Let's calculate the annual payments required to accumulate $18,000 in the fund at the end of 10 years.

The future value of an ordinary annuity formula is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Annual payment

r = Interest rate per period

n = Number of periods

Given:

FV = $18,000

P = Annual payment (to be determined)

r = 5% or 0.05

n = 10 years

Split the problem into two parts: the initial deposit and the equal payments at the end of years 3, 4, 5, 6, and 7.

Initial deposit:

FV1 = $5,000 * (1 + 0.05)^10

FV1 ≈ $5,000 * (1.05)^10

FV1 ≈ $5,000 * 1.628895

FV1 ≈ $8,144.48

Equal payments:

FV2 = P * [(1 + 0.05)^7 - 1] / 0.05

Now, let's solve for P by rearranging the formula:

FV - FV1 = P * [(1 + 0.05)^7 - 1] / 0.05

$18,000 - $8,144.48 = P * [(1 + 0.05)^7 - 1] / 0.05

$9,855.52 = P * (1.05^7 - 1) / 0.05

P = $9,855.52 * 0.05 / (1.05^7 - 1)

P ≈ $9,855.52 * 0.05 / 0.402551

P ≈ 492.776/ 0.402551

P ≈ $1,224.13

Hence, the annual payments required to accumulate $18,000 in the fund at the end of 10 years would be approximately $1,224.13.

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Related Questions

Write in short about medical occupation. Enlist its importance.

Answers

Answer:

Medical Occupations provides an introduction and broad exploration into several careers within the medical field including: Medical Assisting, Emergency Medicine, Veterinary Medicine, Dental Assisting/Hygienist, Geriatric Assistant, Pharmacy Technician, Physical Therapy, Surgical Technician and Nursing.

Explanation:

its importance are: The main focus of occupational health include promotion and maintenance of working capacity and employee health; improvement of working environment; development of work cultures and organizations to support health and safety; promotion of positive social climate and smooth operation; enhanced productivity of the ..

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as a business within the company, hr has three product lines, one of which involves contributing to the company's strategy by understanding how hr can provide a competitive advantage. this is known as .

Answers

As the product lines involves contributing to the company's strategy by understanding how hr can provide a competitive advantage, this is known as being a strategic partner.

What is a strategic partner?

These are partners involves in the sharing of resources to help all involved succeed. They are usually non-competing businesses and often share both the risks and rewards of the decisions of both companies.

Most time, the ultimate goal of the strategic partnership is to create value for each company by offering information, services and other resources that the other firm either has no access to or could only access through some form  of financial exchange.

Therefore, this strategy is known as being a strategic partner.

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Select a local business that you're familiar with (such as your favorite restaurant, your friend's lawn care business, etc). What are its main operations? Pick two of its operations that you think needs improving. How can you improve the selected two operations? What resources are required to improve the operations? Submission Guidelines 1. Please make your initial post substantive (4 or more sentences). 2. Reply to at least two other student in this discussion with a substantive response (2-4 sentences). In your response, do one of the following: 1. Ask a probing question. 2. Offer a suggestion. 3. Elaborate on a particular point. 4. Provide an alternative opinion.

Answers

One of the local businesses that I'm familiar with is a coffee shop. Its main operations include: brewing coffee, preparing and serving food, cleaning and sanitizing the equipment and the shop.

Two operations that need improving are inventory management and customer service. One way to improve the inventory management is to introduce an automated system that tracks the coffee beans, food items, and supplies. The system would notify the manager when the inventory is running low, which would prevent stock-outs and waste. Moreover, the system would provide data on the sales trends and the popularity of the items, which would help with the menu planning and pricing decisions.

Customer service can be improved by training the staff to be more attentive, friendly, and proactive. For instance, the staff can greet the customers with a smile, offer suggestions for the menu items, and ask for feedback on the service. Additionally, the staff can follow up with the customers after their visit, either by email or phone, and offer promotions or loyalty rewards to encourage them to return. The resources required to improve the selected operations are as follows: For inventory management: software, hardware, staff training, and maintenance. For customer service: staff training, customer feedback tools, and promotional materials.

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What is the common trait of all computer crimes?
A.
Damage done to computer technology belonging to others
B.
The theft of classified electronic information
C.
Remote access of someone else's computer workstation
D.
The use of computer technology to commit the crime

Answers

A common trait of all computer crimes is that it involves: D. the use of computer technology to commit the crime.

What is a computer crime?

A computer crime is also referred to as cybercrime and it can be defined as a type of crime that typically involves the use of a computer and Internet to gain an unauthorized access to the personal resources of vulnerable (unsuspecting) users

This ultimately implies that, a common trait of all computer crimes is that it involves the use of computer technology to commit the crime such as stealing sensitive user data.

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Question 2 of 10
Jeremy doesn't have a lot of money to spend on advertising, but he knows his
target audience are local outdoor enthusiasts. Which type of media format
should Jeremy use to advertise?
A. Local newspapers
B. Billboards on busy streets
C. National television commercials
D. Plane banners

Answers

Answer:

B. Billboards on busy streets

Explanation:

Billboard advertising involves making use of large-scale print advertisements to market a company's products and services.  Billboards are strategically mounted in high traffic areas to pass their message to as many people as possible. Busy highways and streets, strategically located buildings are ideal places to put billboards.

Jeremy should consider using billboards for the following reasons.

His clients are local outdoor enthusiasts;  he needs to find out their favorite destinations are put billboards along the way. This way, he will capture their attention.Billboards are less costly compared to other advertisement options, such as television or plane banners.Billboards will be effective in his case. Because his clients are local, and billboards remain in place for several days or weeks,  his target clients will not fail to spot them.

Answer:local news papers

Explanation:

an investment offers a total return of 9.0 percent over the coming year. janice yellen thinks the total real return on this investment will be only 2.5 percent. what does janice believe the inflation rate will be over the next year?

Answers

Janice believes the inflation rate will be 4.72% next year

Compute the exact inflation rate as follows:

Nominal rate of interest =(1 + real rate)x(1 +inflation rate)-1

11%=(1+6%)x(1 +inflation rate)-1

1+11% / (1+6%) -1 = inflation rate

inflation rate =4.72%

Thus, the inflation rate is 4.72%.

On the above, the better costs of those objects earn the lender more interest. As an example, if the rate of tv will increase from $1,500 to $1,600 due to inflation, the lender makes extra money due to the fact that 10% interest on $1,600 is more than 10% interest on $1,500.

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if a company's management is unsure of how long it will need the use of a real estate asset, it is likely that the company will lease the propertytrue or false

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If a company's management is unsure of how long it will need the use of a real estate asset, it is likely that the company will lease the property is a True statement.

What is real estate asset about?

If a company's management is unsure of how long it will need the use of a real estate asset, it is more likely that the company will lease the property rather than buy it.

Leasing allows the company to use the property for a fixed period of time without the long-term commitment and financial obligation associated with buying.

Hence leasing provides flexibility in terms of relocating to a different property or expanding the company's operations as needed.

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PLEASE HELP IT DUE TODAY

What are stakeholders from Monopolistic competition, oligopoly, and monopoly?

Answers

Explanation:

Monopolistic competition

Monopolistic competition, many seller that differentiated products - products that differ slightly but sever similar purpose. By making consumer aware of product difference, seller exert some control over price.

Oligopoly

In an oligopoly, a few sellers supply sizable portion of products in the market. They exert some control over price, but because their products are similar, when one company lowers prices, the others follow .

Monopoly

In a monopoly, there is only one seller in the market. The market could be a geographical area, such as a city or a regional area, and does not necessarily have to be entire country. The single seller is able to control prices

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Time is money in any business environment. To be successful in the business world, you must be able to create concise and easy-to-read messages. As you revise, eliminate flabby expressions, long lead-ins, fillers, redundancies, and empty words. Your audience will appreciate your brevity.Which of the following sentences contain flabby expressions? Check all that apply.As a general rule, you should contact Jorge; he can afford you the opportunity to access the beta version.In all probability, Alessia will receive a promotion this year.If Marie calls, please tell her we will proceed normally.I worked on the MarkMaster campaign for 35 hours.Jason is aware of the problem and will take care of it.Complete the sentence with the most concise option.

Answers

In general, you should get in touch with Jorge; he can provide you the chance to access the beta version. Alessia is most likely going to get a promotion this year.

Why is it crucial to edit your work for simplicity and clarity?

When revising your writing, take the opportunity to step back and reconsider. Consider your article goals and whether you were able to meet those goals. We make sure our arguments are strong and well-written.

What does it mean to clarify a revision?

Create additional drafts of your essay to make your thoughts clear to the reader. Write your argument in a way the reader can understand. When writing your essay, assume your reader is unfamiliar with your essay topic. Write with the intention of making the connections between your thoughts clear to the reader  

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The balance on a credit card, that charges a 20%
APR interest rate, over a 1 month period is given in
the following table:
Days 1-5: $200 (initial balance)
Days 6-20: $350 ($150 purchase)
Days 21-30: $150 ($200 payment)
What is the finance charge, on the average daily
balance, for this card over this 1 month period?
finance charge = $ [?]
Round to the nearest hundredth.
Enter

Answers

The balance on a credit card, that charges a 20% APR interest rate, the Finance charge is given as

$4.3055

This is further explained below.

What is the APR interest rate?

Generally, The interest rate that is applied to a loan, mortgage loan, credit card, etc. is referred to as an annual percentage rate of charge, which sometimes corresponds to a nominal APR and sometimes corresponds to an effective APR.

The annual percentage rate of charge is the interest rate for the entire year, as opposed to just a monthly fee or rate. It is a fee for financing that is presented in the form of an annual rate.

Interest rate APR = 12%

Average balance = ((200*5)+(350*15)+(150*10))/30

Average balance = $258.33

Average balance*APR/12

Finance charge =\(\frac{258.33*20 \%}{12 }\)

Finance charge = $4.3055

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What is the best definition of technology?

Technology is replacing human workers with mechanical or electronic devices.
Technology is applying scientific knowledge to find answers and fix problems.
Technology is using fewer resources to manufacture goods more efficiently.
Technology is hiring workers from all over the world to manufacture goods.

Answers

Answer:

technology is applying scientific knowledge to find answers and fix problems.

Explanation:

thats what i think. sorry if its wrong

Answer:

EDG: A-Technology is applying scientific knowledge to find answers and fix problems.

Explanation:

The _____ process is a noncompetitive application process.

Answers

Answer:procurement

Explanation:buyer will only select the firm that is to buy from or even restricts the bidding criteria to certain firm suppliers.

Henry, a trainer at MyChem Inc., schedules training on handling hazardous chemicals for a group of newly hired employees. The training complies with OSHA regulations and is given to all employees upon hire along with periodic refreshers. The type of training described in this scenario is _____.

Answers

Answer:

Hazard Communication Standard  (HCS) training program

Explanation:

The type of training described in this scenario is known as the  Hazard Communication Standard  (HCS) training program. This is a employee training program designed with the goal of explaining and reinforcing the written information regarding hazard labels and material safety data sheets, as well as how to behave around hazardous material and to apply this information to their workplace.

select the key determinants of economic growth, according to current theory.

Answers



Economic growth is the increase in the production of goods and services in an economy over time. There are several key determinants of economic growth, according to current economic theory. These determinants can be divided into two categories: supply-side factors and demand-side factors.


Human capital: This refers to the knowledge, skills, and abilities of the workforce. An economy with a well-educated and skilled workforce is likely to experience higher levels of economic growth. Physical capital: This refers to the stock of machinery, equipment, and infrastructure that is used to produce goods and services. An economy with a high level of physical capital is likely to experience higher levels of economic growth.

Technological progress: This refers to the development and implementation of new technologies that increase productivity and efficiency. An economy that is able to adopt new technologies quickly is likely to experience higher levels of economic growth. Demand-side factors refer to the factors that affect the consumption of goods and services. These include: Investment: This refers to the spending on physical capital, research and development, and other activities that increase the productive capacity of an economy.

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Suppose there are four firms that are each willing to sell one unit of a good. Each firm has a different minimum price that they are willing to sell for: Firm W $6, Firm X $7, Firm Y $10, and Firm Z $12. If the market price is $11 then the market supply for this good will be

Answers

Answer:

A is the answer I believe so

Suppose you want to be elected as a mayor in your locality. Prepare a written speech for presenting it before your voters in 250 words

Answers

Answer:

I respectfully present myself before you now as a candidate for mayor in our community. My objective is to build a community that is safe, active, and affluent.

My top priority is safety. I intend to increase law enforcement, prevent crime, and foster confidence between the police and our communities.

Participation is essential. I will listen to your concerns, include you in decision-making, and maintain open communication channels such as town halls and internet forums.

Our environment is important. I will campaign for sustainable development, the preservation of green places, and the use of renewable energy.

Education is essential. I plan to invest in schools, work with educators, and create chances for vocational training.

Economic development is critical. To enhance our economy and infrastructure, I will attract firms, support local businesses, and create jobs.

Together,Gentlemen and ladies,

I respectfully present myself before you now as a candidate for mayor in our community. My objective is to build a community that is safe, active, and affluent.

My top priority is safety. I intend to increase law enforcement, prevent crime, and foster confidence between the police and our communities.

Participation is essential. I will listen to your concerns, include you in decision-making, and maintain open communication channels such as town halls and internet forums.

Our environment is important. I will campaign for sustainable development, the preservation of green places, and the use of renewable energy.

Education is essential. I plan to invest in schools, work with educators, and create chances for vocational training.

Economic development is critical. To enhance our economy and infrastructure, I will attract firms, support local businesses, and create jobs.

Together,Gentlemen and ladies,

I respectfully present myself before you now as a candidate for mayor in our community. My objective is to build a community that is safe, active, and affluent.

My top priority is safety. I intend to increase law enforcement, prevent crime, and foster confidence between the police and our communities.

Participation is essential. I will listen to your concerns, include you in decision-making, and maintain open communication channels such as town halls and internet forums.

Our environment is important. I will campaign for sustainable development, the preservation of green places, and the use of renewable energy.

Education is essential. I plan to invest in schools, work with educators, and create chances for vocational training.

Economic development is critical. To enhance our economy and infrastructure, I will attract firms, support local businesses, and create jobs.

Together,Gentlemen and ladies,

I respectfully present myself before you now as a candidate for mayor in our community. My objective is to build a community that is safe, active, and affluent.

My top priority is safety. I intend to increase law enforcement, prevent crime, and foster confidence between the police and our communities.

Participation is essential. I will listen to your concerns, include you in decision-making, and maintain open communication channels such as town halls and internet forums.

Our environment is important. I will campaign for sustainable development, the preservation of green places, and the use of renewable energy.

Education is essential. I plan to invest in schools, work with educators, and create chances for vocational training.

Economic development is critical. To enhance our economy and infrastructure, I will attract firms, support local businesses, and create jobs.

Together, we can overcome challenges. With your support, I will be a mayor who listens, acts, and brings positive change to our community.

Thank you, and let's work towards a brighter future!

Which unit of measurement relates to quantity?
(BLANK) is a unit of measurement that relates to quantity.

A. Centimeter
B. Width
C. Height
D. Pound
E. Mile​

Answers

Answer:

D. Pounds

Explanation:

Hope this helps :D

Answer:

I would truly think it is Pounds! Sorry if I am wrong!

Explanation:

I love butterflies!

Three roads lead into a stadium's parking areas. Each road has four lanes (two in each direction) with a capacity of 1,000 vehicles/lane/hour. If 10,000 vehicles are expected for a game, how long will it take for all of them to enter the parking areas?

Answers

Answer:

Option A

Explanation:

The complete question is

Three roads lead into a stadium's parking areas. Each road has four lanes (two in each direction) with a capacity of 1,000 vehicles/lane/hour. If 10,000 vehicles are expected for a game, how long will it take for all of them to enter the parking areas?

a) 2 hours

b) 1 hour

c) 1 hour and 40 minutes

d) 90 minutes

Solution

There are four lanes.

Capacity of one lane is equal to 1,000 vehicles/lane/hour.

Let us say that each lane will provide access to equal number of vehicles

Thus, each lane will allow 10,000/4 = 2500 vehicles per hour

Time taken by 2500 vehicles on road to reach parking is equal to 2.5 hours.

The nearest answer to this option A i.e two hours

an analyst must decide between two different forecasting techniques for weekly sales of roller blades: a linear trend equation and the naive approach. the linear trend equation is ft

Answers

Based on the Mean Absolute Deviation (MAD) and Mean Squared Error (MSE) metrics, the Naive Approach has a greater accuracy than the linear trend equation for forecasting weekly sales of roller blades.

Explanation: To determine the accuracy of the two forecasting techniques, we need to calculate the MAD and MSE for each method.

1. Naive Approach:

The Naive Approach assumes that the forecasted value for each period is equal to the actual value of the previous period. In this case, the forecasted value for each period (t) would be equal to the actual value of the previous period (t-1).

2. Linear Trend Equation:

The linear trend equation uses a mathematical formula to estimate the forecasted values based on historical data. In this case, the equation is F(t) = 125 + 2.0t, where t represents the period number.

To calculate the MAD and MSE, we compare the forecasted values obtained from each method with the actual values provided in the data for periods 11 to 20. The MAD is the average of the absolute differences between the forecasted and actual values, while the MSE is the average of the squared differences.

Using the data provided in the previous response, we can calculate the MAD and MSE for each method. However, the data for periods 11 and 20 are missing, so we'll assume the missing values are not available.

| Period | Actual Sales | Naive Approach | Linear Trend |

| 11     | ?            | 163            | 147          |

| 12     | 150          | 163            | 149          |

| 13     | 139          | 150            | 151          |

| 14     | 146          | 139            | 153          |

| 15     | 156          | 146            | 155          |

| 16     | 148          | 156            | 157          |

| 17     | 156          | 148            | 159          |

| 18     | 154          | 156            | 161          |

| 19     | 159          | 154            | 163          |

| 20     | ?            | 159            | ?            |

Calculating the MAD and MSE for each method:

Naive Approach:

MAD = (|163 - 150| + |150 - 139| + |139 - 146| + |146 - 156| + |156 - 148| + |148 - 156| + |156 - 154| + |154 - 159|) / 8

   = 20.375

MSE = ((163 - 150)^2 + (150 - 139)^2 + (139 - 146)^2 + (146 - 156)^2 + (156 - 148)^2 + (148 - 156)^2 + (156 - 154)^2 + (154 - 159)^2) / 8

   = 228.875

Linear Trend Equation:

MAD = (|147 - 150| + |149 - 150| + |151 - 150| + |153 - 150| + |155 - 150| + |157 - 150| + |159 - 150| + |161 - 150|) / 8

   = 6.125

MSE = ((147 - 150)^2 + (149 - 150)^2 + (151 - 150)^2 + (153 - 150)^2 + (155 - 150)^2 + (157 - 150)^2 + (159 - 150)^2 + (161 - 150)^2) / 8

= 14.875

Comparing the MAD and MSE values, we find that the Naive Approach has a greater accuracy than the linear trend equation. The Naive Approach has a higher MAD and MSE, indicating larger errors in the forecasted values compared to the actual values. This suggests that the linear trend equation provides a better forecast for weekly sales of roller blades based on the given data.

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An analyst must decide between two different forecasting techniques for weekly sales of roller blades: a linear trend equation and the naive approach. The linear trend equation is F¢ = 125 + 2.0, and it was developed using data from periods 1 through 10. Based on data for periods 11 through 20 as shown in the table, which of these two methods has the greater accuracy if MAD and MSE are used?

| t  | Units Sold |

| 11 | 148        |

| 12 | 150        |

| 13 | 139        |

| 14 | 146        |

| 15 | 156        |

| 16 | 148        |

| 17 | 156        |

| 18 | 154        |

| 19 | 159        |

| 20 | 163        |

What is 5x in share market?

Answers

In the stock market, 5x is a type of leverage ratio that is used to measure the amount of debt a company has versus its equity. It is calculated by dividing a company's total debt by its total equity.

A 5x leverage ratio indicates that a company has $5 of debt for every $1 of equity. This ratio is used to assess the financial stability of a company and to determine whether it is able to meet its financial obligations.

A stock is a type of instrument that denotes the holder's ownership stake in the issuing company and is typically traded on stock markets. In order to raise money to run their businesses, corporations issue stock. The two primary stock categories are common and preferred.

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The fixed costs of a business are $300,000 per
year and variable costs are $2.00 per unit. The
business sells 200,000 units per year at a selling
price of $5.00. The profit made per year is:

O $300,000
O $1,000,000
O $600,000
O $1,500,000​

Answers

Answer:

$300,000

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a(n) , a neutral third party, is usually called in to reesolvee any conflict that may arise over the interpreetation of a collective bargaining agreement contract

Answers

In the context of collective bargaining agreements, it is not uncommon for conflicts to arise over the interpretation of contract terms. When this happens, a neutral third party may be called in to resolve the dispute. This third party, known as an arbitrator, is typically selected by both the union and the employer. The arbitrator is tasked with hearing evidence and arguments from both sides and making a binding decision on the dispute.

Arbitration is a common method for resolving disputes in the context of collective bargaining agreements because it provides an impartial decision-maker who can assess the evidence and arguments objectively. The arbitrator's decision is typically final and binding, meaning that both parties are required to comply with the decision.

Arbitration can be a quicker and less expensive alternative to litigation, which can be time-consuming and costly. However, it is important to note that the arbitrator's decision is final and binding, and there is generally no right to appeal the decision. In conclusion, a neutral third party arbitrator is typically called in to resolve any conflicts that may arise over the interpretation of a collective bargaining agreement contract. Arbitration can be a quicker and less expensive alternative to litigation, but it is important to understand that the arbitrator's decision is generally final and binding.

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Which of these events would be a result of inflation? a business reports a loss for a tax year

Answers

An events that would be a result of inflation is that company scales back its production. The Option C is correct.

What are inflation impact on company?

Inflation is defined as an increase in the average price level of goods and services in an economy over time. When there is high inflation, each unit of currency buys fewer goods and services. As a result, businesses may struggle to maintain profit margins. Furthermore, consumers may reduce their spending, resulting in lower sales for businesses.

Inflation, on the other hand, can present opportunities for businesses. For instance, if prices rise faster than wages, businesses may be able to raise their prices without losing customers. Furthermore, inflation can stimulate demand for new products and services that assist people in dealing with rising prices.

Missing options "A. A business reports a loss for a tax year B. A CEO pays less in taxes than five years ago C. A company scales back production D. A company increases production as a result of growing demand"

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Answer:

C) A company scales back production

Explanation:

I got it right on the test

Every year, Harini receives a check from the company in which she owns stock. What is the name for these periodic distributions of profits to investors?


A.

the rate of return


B.

speculative investments


C.

dividends


D.

corporate bonds

Answers

Answer:

(C) Dividends is your yearly profit

Which statement best explains why the United States grew into a world
economic power in the 20th century?
O A. The United States prevented other countries from abandoning the
gold standard.
O B. The United States increased its participation in international trade.
C. The United States put effective trade barriers in place to limit trade
with other nations.
D. The United States stayed out of major world wars and instead
made economic investments.

Answers

Answer:

B. The United States increased its participation in international trade.

Explanation:

The correct option is - B. The United States increased its participation in international trade.

A sweatshop is an example of an ethlcal mode of production.
True or False​

Answers

Answer:

False

Explanation:

False. Hope this helps

Which of the following choices incur speculative risk?

a.stocks

b.fire insurance on a house

c.options

d.life insurance


e.high interest savings account

Answers

Answer: correct option is A.

Explanation: A speculative risk can be defined as risk that is taken willingly either it results in profit or loss and the stocks involve in probability of gain and loss making it a speculative risk.

Stocks incur speculative risk. Therefore option A is correct.

What are Stocks?

A stock usually referred to as equity, is a type of investment that denotes ownership in a portion of the issuing company. Shares, also known as units of stock, entitle their owners to a share of the company's assets and income in proportion to the number of shares they possess.

Common stock and preferred stock are the two primary categories of stocks.

Owners of common stock are entitled to dividends and the right to vote at shareholder meetings.

Common stockholders often do not have voting rights, while preferred stockholders typically get dividend payments ahead of time and are given preference over common investors in the event of a firm bankruptcy and asset liquidation.

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When choosing the right colfee beans for you, buying single-origin or blended coffee is another tactor to consider. Buy single origin if you enjoy the body and flavour profile of specific colfee regions, and go for blend if you're happy with beans that have come from various geographic areas. Generally, the proportion of coffee beans that are single origin is 0.564. Based on a randomly selected sample of 98 batches of coffee beans, 55 of them are single origin. 1. (3 mark) What is the distribution for the number of single origin cotfee beans (X=55) ? and write down the two parameters that determine the shape of this distribution, (integer) and (3dp) Assuming we can makn a normal approximation to bhomial distribution (Hint check that conditions are satisfied), what is the probatility that, in a random sample of 88 batches of colfee beans, 2. (1 mark) qeater than 59 coffee beans are single origin? 3. (1 mark) no more than 45 coffee beans are single origin? 4. (1 mark) there are between 48 and 61 single oriain coffee beans? (3dp)

Answers

The distribution for the number of single origin coffee beans (X=55) is a binomial distribution, where the two parameters that determine its shape are the number of trials (n = 98) and the probability of success (p = 0.564).

What is the probability that, in a random sample of 88 batches of coffee beans, more than 59 coffee beans are single origin?

To answer this question, we can use the normal approximation to the binomial distribution since the sample size is large and the conditions are satisfied. We need to find the probability of having more than 59 single origin coffee beans in a sample of 88 batches.

First, we calculate the mean (μ) and standard deviation (σ) of the binomial distribution:

μ = n * p = 88 * 0.564 = 49.632

σ = √(n * p * (1 - p)) = √(88 * 0.564 * (1 - 0.564)) ≈ 5.104

Next, we convert the problem into a normal distribution by using continuity correction. We want to find the probability of getting more than 59 single origin coffee beans, which can be written as P(X > 59.5).

Using the normal approximation, we calculate the z-score:

z = (59.5 - μ) / σ = (59.5 - 49.632) / 5.104 ≈ 1.935

Finally, we find the probability using the standard normal distribution table or a calculator:

P(X > 59.5) ≈ P(Z > 1.935) ≈ 1 - P(Z < 1.935) ≈ 1 - 0.9731 ≈ 0.0269

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In the United States, there are various forms of economic oversight that are performed by the government. Sometimes the government will step in when they feel the need to encourage competition in a particular industry and to break up companies that have nearly complete control over a particular market. What is this called when the government initiates action against companies that appear to have too much power?

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Antitrust laws initiate action against companies that appear to have too much power.

Antitrust laws are rules that promote competition by restricting a firm's ability to dominate the market. This frequently entails dismantling monopolistic enterprises as well as making sure mergers and acquisitions don't excessively concentrate market power.

Additionally, cartels or groups of companies working together to restrict competition through tactics like price fixing are prohibited by antitrust laws. Antitrust law has developed into distinct legal expertise as a result of the difficulty in determining what actions may restrict competition.

Federal antitrust laws are currently enforced by the Federal Trade Commission, often in cooperation with the Department of Justice.

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According to the video, what are some qualities Air Traffic Controllers need? Check all that apply.

physical strength
clear speaking
teamwork
alertness
repair skills
a driver’s license

Answers

Answer:

B,C,D ON EDGE 2020-2021

Explanation:

Based on the information given, the qualities Air Traffic Controllers need are:

Clear speakingTeamworkAlertness

The correct options are B, C, and D.

What does an air traffic controller do?

They control the flow of aircraft into and out of the airport's airspace, direct pilots during takeoff and landing, and keep an eye on the movement of aircraft in the sky. To communicate with pilots, air traffic controllers employ radio technology.

Clear speaking is necessary because Air Traffic Controllers are responsible for communicating with pilots to provide them with critical information, such as weather conditions, runway changes, and other important details. Any miscommunication or misunderstanding could have severe consequences, so it's essential that Air Traffic Controllers are articulate and can communicate clearly.

Teamwork is also crucial for Air Traffic Controllers because they work closely with other Air Traffic Controllers and other professionals, such as pilots, airport personnel, and maintenance crews. They need to be able to coordinate and collaborate effectively to ensure the safe and efficient flow of air traffic.

Thus, the ideal selections are options B, C, and D.

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