Suppose that the market price for a bottle of vitamins is $2.50 and that at that price the total market quantity demanded is 75,000,000 bottles. How many firms will there be in this industry?

Answers

Answer 1

Answer:

there will be 187, 500, 000 firms in the industry.

Explanation:

just multiply 2.50 with 75, 000,000 and get the answer.

Answer 2

The number of firms that will be there in the industry is 1,000.

From the given information,

The market price is $2.50

The total market quantity demanded is 75,000,000 bottles.

To find the quantity supplied, one can look at the ATC column of the cost structure table.

The ATC (average total cost) represents the cost per bottle at different levels of output.

At an output of 75,000 bottles (which is the same as the total market quantity demanded), the ATC is 2.5 (as given in the table).

Thus, the quantity supplied at the market price is 75,000 bottles.

To calculate the number of firms, one can divide the total market quantity demanded by the quantity supplied:

Number of firms = Total market quantity demanded / Quantity supplied

Number of firms = 75,000,000 / 75,000

Number of firms = 1,000

Therefore, there will be 1,000 firms in this industry.

Learn more about the number of firms here:

https://brainly.com/question/27995039

#SPJ2

Assume that the most efficient production technology available for making vitamin pills has the cost structure given in the following table. Note that output is measured as the number of bottles of vitamins produced per day and that costs include a normal profit.

OUTPUT      TC                       MC ATC

25,000   1,00,000                   0.5 4.0

50,000   1,50,000               1.0 3.0

75,000   1,87,500               2.5 2.5

1,00,000   2,75,500               3.0 2.75

Suppose that the market price for a bottle of vitamins is $2.50 and that at that price the total market quantity demanded is 75,000,000 bottles. How many firms will there be in this industry?


Related Questions

Explain when this credit card company can adjust
the APR...​

Answers

Answer:

The can adjust the apr basically at any time. They can adjust  it if you make late payments, defaulting on the bill not making minimum payments,  or if you exceed the credit limit... there is no annual fee for the card...

Explanation:

I hope this helps have a wonderful and a blessed day

Final answer:

A credit card company can adjust the APR based on changes in market interest rates, the borrower's credit score, and the credit card contract.

Explanation:

A credit card company can adjust the APR (Annual Percentage Rate) under certain circumstances. These circumstances include changes in the market interest rates, changes in the borrower's credit score, and changes in the terms and conditions of the credit card contract. For example, if the market interest rates increase, the credit card company may adjust the APR for all their customers. Similarly, if a borrower's credit score decreases, the company may increase the APR for that specific borrower.

Learn more about Credit card APR adjustment here:

https://brainly.com/question/33930913

#SPJ3

Which is an example of the relationship between the arts and
social change during the 1920s?

answer is c

the Great Migration lefted the south with a severe lack of the low wage workers and many companies went out of business as a result ​

Answers

Answer: B - The Great Migration left South with a severe lack of low-wage workers and many companies went out of business as a result

Explanation:

An example of the relationship between the arts and social change during the 1920s is the Great Migration lefted the south with a severe lack of the low wage workers and many companies went out of business as a result.

What do you mean by the art during 1920s?

One of the most recognizable movements of the 1920s might be Art Deco. Art Deco developed a style of art that symbolized luxury and modernity by blending opulent materials like ivory, gold, platinum, and diamonds with the ornamental use of geometric shapes and lines.

This movement's major goal is to subvert cultural conformity and other artistic mindsets while also attacking the idea of what art is through the creation of a type of anti-art.

Dada art is well recognized for poetry, collage, and readymade artwork in addition to the absurd performance art that emerged from the movement.

Therefore, an example of the relationship between the arts and social change during the 1920s is the Great Migration lefted the south with a severe lack of the low wage workers and many companies went out of business as a result.

To know more about the art during 1920s, visit:

https://brainly.com/question/23536597

#SPJ5

In which situation would a savings bond be the best investment to earn interest?
if you need access to your cash quickly
if you are saving each month for a new car
if you are putting aside a chunk of money to purchase a house in five years
saving to pay a tax bill in four months

Answers

Answer:

If you are putting aside a chunk of money to purchase a house in five years

Explanation:

The circumstance in which a saving bond security would be the best investment to earn interest is: Save for the place of the redesigning in five years or to set aside cash to purchase another house in five years. Not just we get the interest of the savers, yet in addition might get the chance to gain more money from real estate business.

The situation that a savings bond is said to be the best investment to earn interest is only If you are putting aside a chunk of money to purchase a house in five years.

Are savings bonds a form of good investments?

Savings Bonds is known to be a good Investment in time of Retirement. Savings bonds are said to also be a good addition to one's portfolio in terms of retirement.

The interest rates in this type of bond is said to be low due to the fact that there is government guarantees. Other form of investments are stocks.

Learn more about  savings bond from

https://brainly.com/question/25596583

I need help with three finding maximum contribution margin

Answers

Answer:The answer is product A 29,000 product B 29,800 product C 41,000 The company should accept Product C first, followed by B and A last, The maximum contribution margin is 41,000

Explanation:

Product A. Product B. Product C

$ $ $

Sales(80×800) 64,000. (56×800) 44,800. (70×800) 56,000

Less: variable cost (3×5000) 15,000. 15,000. 15,000

Contribution margin. 29,000. 29,800. 41,000

1. The contribution margin for product A is 29,000, product B is 29,800, product C is 41,000

2. The company should accept C first with highest contribution margin, B second and A th if

3 The maximum contribution margin is $41,000


What makes your marketing more potent, allowing you to run an ad three times instead of nine, to get the same effect?
Question 2 options:

Connections

Branding

Promotion

Opportunity

Answers

I think it’s Branding

Answer:

Branding makes your marketing more potent

Explanation:

Branding encompasses all the Marketing strategies which includes promotions,products prices, types of products and other necessary components. Branding is the identity of a company/firm. while promotions is the tactical ways of creating awareness for your products and they are contained in the marketing strategies of the company.

A company with a Good Brand i.e identity. doesn't require multiple ad times to get the same result with companies with upcoming brand.

Branding is the main key to getting very effective marketing result.

Use the information below to determine the amount saved if each invoice is paid in time to take advantage of the trade credit discount
Invoice amount trade credit terms amount saved
$1,300 2/10, n/30
$10,000 3/15, n/90
$22,460 2/10, n20
$645 1/15, n/30
Total

Answers

Answer:

1274+9700+22010.80+638.55=33,623.35 Total

Explanation:

1300*.02=26

1300-26=$1274

10000*.03=300

10000-300=9700

22460*.02=449.20

22460-449.20=22010.80

645*.01=6.45

645-6.45=638.55

Leverage _____ the return to shareholders and _____ the risk of their investment
a. lowers; lowers
b. lowers; increases
c. increases; lowers
d. increases; increases

Answers

Answer:

d. increases; increases

Explanation:

Leverage describes the method of capital acquisition. The term is used mostly to refer to the borrowing of capital. A highly leveraged business is a business that has a high percentage of debts.

Business borrows for expansion or to finance the acquisition of assets.  By borrowing, the company increases its capacity to produce and consequently,  the possibility of an increase in sales. An increase in output leads to high returns to the shareholders.

Higher returns can only be achieved if the market behaves as expected. If operations do not go as planned, then leverage will leave the shareholder exposed to higher risks. The losses likely to be suffered will be proportional to the level of leverage.

you went to the market one day,describe an incident that happened there.(essay form)

Answers

Answer:

See the explanation Section

Explanation:

Every day I have to go to the market to purchase day to day utensils. Recently I witnessed a severe incident there. Before the incident day, I bought two pounds of onion with forty BDT. After the very next day, the price increased to 100. That happened due to the syndicate of businessmen and agents. However, it is challenging for the general people to take immediate action against them. That incident occurred due to the crisis of onions around the market. Moreover, there was little import from the neighboring countries.

Which Law, Public Safety, and Security worker is most likely employed by a private business?
a Federal Agent for the FBI in Los Angeles
a Security Guard at the Mall of America in Minnesota
a Paralegal for the US Supreme Court in Washington, DC
a Fire Investigator for the state of Massachusetts

Answers

Answer:

a Security Guard at the Mall of America in Minnesota

Explanation:

Since the Mall of America is not a state-owned business (it is managed by the Triple Five Group, a private company), a security guard working for the Mall of America is employed by a private business.

The FBI, the state of Massachusetts and the US Supreme Court are all government entities (public sector), so their employees are not employed by a private business.

Answer:

Security guard at Mall of America

Explanation:

all other workers are employed by government agencies

Savings accounts typically offer more interest than what
type of account?
A.)Retirement account
B.)Money market account
C.)Checking account
D.)None of the above

Answers

I personally don’t know about answer is D

Savings accounts typically offer more interest than checking accounts, which are built for frequent access and low returns. Hence, C is the correct option.

Savings accounts typically offer more interest than checking accounts. Checking accounts are designed for frequent transactions and often pay little or no interest. Savings accounts, on the other hand, are intended to hold funds for longer periods and typically pay some interest rate, serving as a modest investment. Although the lines between checking and savings accounts have become somewhat blurred—with many banks offering checking accounts that earn interest if a certain minimum balance is maintained—the core distinction remains. Savings accounts generally require a trip to the bank or an ATM to access funds, whereas checking accounts provide more immediate access through checks or debit cards. Moreover, compared to other forms of investment like money market accounts or retirement accounts, such as IRAs and 401(k)s which can offer higher returns, savings accounts offer a lower return but easier access to funds.

Clearly assigned roles and responsibilities are particularly important in family businesses.
A. True
B. False

Answers

Answer:

True

Explanation:

The statement is true, roles and responsibilities are very important in family business. Relatives regularly fill more than one job in the organisation so as to keep it running. Likewise, if the administration covers and family jobs and duties are uncertain to everybody, opposition or even absolute battling is bound to happen in light of the fact that the individuals included know each other well indeed.

Answer:

TRUE

Explanation:

As opposed to operational plans, managers create business plans based on

A : 

 

present events that can be guaranteed by the industry. 

B : 

 

only those events that are favorable to their company. 

C : 

 

past events that have occurred up to the time of the plan. 

D : 

 

future events occurring both internally and externally. 


Answers

Answer:

As opposed to operational plans, managers create business plans based on:

D. future events occurring both internally and externally.  

Explanation:

Business plans differ from operational plans in the length of time required to achieve those goals. The Operational plan is set for a maximum of a year while the business plan is set for 3 or 4 years.  

Therefore, managers use all the future information available of events that might happen inside and outside the company to define the business plan.

For the operational plan managers use present events that can be guaranteed by the industry along with information about the past events.  

If the number of lawyers graduating from law school increases, what might happen?


Lawyers’ fees would probably increase.

Law offices will hire fewer lawyers.

Law offices will hire more lawyers.

Lawyers’ fees would probably decrease.

Answers

Answer:

Lawyers fees would probably decrease

Explanation:

Gradpoint

If the number of lawyers graduating from law school increases, Lawyers’ fees would probably decrease. Thus, option D is correct.

Why lawyers are important in a society?

Lawyers advise clients on their legal rights and obligations and suggest courses of action for both business and personal matters. Lawyers are in a unique position to assist individuals, communities, and organizations with their legal needs and to promote the general welfare.

A lawyer serves as a public servant with a special responsibility for upholding the rule of law as well as a client's or a third party's representative. You won't have someone to protect you from the abuse of the law if you don't have counsel. By representing people or companies in the public and private sectors across a range of industries, lawyers play a crucial role in Indian society. Additionally, they are essential in executing laws and delivering justice.

Therefore, we can conclude that option D is correct.

Learn more about importance of lawyers here:

https://brainly.com/question/1348010

#SPJ3


Choose the statements that ACCURATELY describe an aspect of personal banking and investing.

More people use banks to store their money than any other financial institution.
Membership to a credit union is limited to specific people.
"Payday Loan" companies generally charge higher interest rates than banks or credit unions.
Credit unions generally charge higher interest rates on loans than banks.
The inability to pay a loan back to a "title pawn" lender will result in higher interest rates to the amount borrowed.
Savings accounts offer a high yield on money placed there.
Investing in stocks can bring significant rewards, as well as significant losses.
Mutual funds help provide protection from stock market losses by spreading your investment among various companies.

Answers

Answer:

The statements that ACCURATELY describe an aspect of personal banking and investing are:

Membership to a credit union is limited to specific people."Payday Loan" companies generally charge higher interest rates than banks or credit unions.Investing in stocks can bring significant rewards, as well as significant losses.Mutual funds help provide protection from stock market losses by spreading your investment among various companies.

Explanation:

Membership to a credit union is limited to specific people. The credit unions have a criterion for membership that can be based upon employer, family or geographic location."Payday Loan" companies generally charge higher interest rates than banks or credit unions. Payday loans are the companies that charge the highest interest rates as they are fast credits of small amounts of money then interest tend to be higher than regular loans or credit union loans. Investing in stocks can bring significant rewards, as well as significant losses. This is due to the risk of exchange stock market. Mutual funds help provide protection from stock market losses by spreading your investment among various companies. A mutual fund groups the money of different investors and invest among different securities, such as: stocks or bonds.

Answer:

1. More people use banks to store their money than any other financial institution.

2. Membership to a credit union is limited to specific people.

3. "Payday Loan" companies generally charge higher interest rates than banks or credit unions.

4. Investing in stocks can bring significant rewards, as well as significant losses.

5. Mutual funds help provide protection from stock market losses by spreading your investment among various companies.

Which would be the most likely target market for a new brand of high-end athletic shoes?
A.
School children because they all take gym class
B. Those looking to get in shape for the first time
C. Dedicated athletes, like marathon runners
D.
Anyone interested in purchasing athletic shoes

Answers

Answer:

Dedicated athletes, like a marathon runners

Explanation:

Mike Karanikolas wants to enter the French market with his usual strategy of using influencers. Two influencers are considered to be hired.
The first one is a young growing personality and asks for a consideration of 100 000€ to be paid at the start of the contract, and Mike determines that over 4 years, this particular influencer would yield successively each year: 20 000€, 30 000€, 40 000€, 50 000€. Those amounts would be actualised at a 10% rate to take risk into account.
Is it a good investment? Answer to this question based on two selection criteria: Net Present Value and Internal Rate of Return.

The second influencer is more stable and is asking for the same 100 000€ consideration, but revenues would be more stable at 35 000€ every year at the end of the next 4 years.
Is the second influencer a better choice than the first influencer? Answer to this question based on the NPV criterion.

Answers

Answer:

A) Based on NPV, Mike will choose 2nd influencer.

B) Based on IRR, Mike will choose 2nd influencer.

Explanation:

See images to get the appropriate answer:

what best describes a SCRUM Team​

Answers

Answer: Characteristics Of A Great Scrum Team. ... Within Scrum self-organizing, cross-functional, and highly productive teams do the work: creating valuable releasable product increments. Scrum offers a framework that catalyzes the teams learning through discovery, collaboration and experimentation.

Explanation:

A Scrum Team is a collection of individuals working together to deliver the requested and committed product increments. To work effectively it is important for a Scrum Team that everyone within the team. follows a common goal.

What top three criteria would you use to evaluate if the apartment is or isn't a good fit for me?​

Answers

Answer:

Size, Location, Amenities, and obviously price

Suppose an uncle left $500, and you had three choices for how to use the money. You could (1) save the $500 in a bank, (2) buy computer equipment, or (3) keep it in your closet. How would each of these actions affect the growth of the economy?

Answers

Answer:

Explanation:

Start with the fact that $500 is not a huge amount amount of money. That being said, it's not zero either.

Traditionally the usual thing that was done was to put the money in a bank. If you live anywhere but the United States, that would not be a great idea. Even American Banks should be handled with care; you might just think about putting  it in a bank.  The effect would be that the bank would generate income for them and interest from them to you. The interest would be a very small part of what they take in, but it would be something. In the 1990's had an interest rate of over 20% which nothing to sneeze at. That no longer is a wise thing to do. I don't really think that banks are totally stable. So I wouldn't choose the first one.

You could buy computer equipment. I think I'd be tempted to do that. I would benefit because (if this is my first computer, I'd learn how to use it properly), and as mentioned before $500 is not a huge amount of money. I would benefit by learning a computer's virtues; the economy would benefit by creating how money gets around.

The most useless thing to do is put the money in a sock and put the sock in your closet. You don't get any benefit. The money becomes paper and you are getting nothing for it. So don't do this. It's pointless.

What is mean't by a focus group

Answers

a group of people assembled to participate in a discussion about a product before it is launched, or to provide feedback on a political campaign, television series, etc.

Analyze the following table. What factor is affecting salaries in this situation? Occupation Number of People in Occupation Mean Annual Wage ($) Elementary Teacher 1,544,270 $52,240 Accountants and Auditors 1,133,580 $65,840 Civil Engineers 261,360 $78,560 Athletes 13,960 $79,460 college location experience supply and demand

Answers

Answer:

Supply and demand.

Explanation:

teachers are needed more than athletes.

Answer:

Supply and demand my friend

Explanation:

supply is the amount you have

demand is the amount wanted or needed by the customers

why should investors invest in a company?

Answers

Investors should invest in a company to make more investments. With the company, they can make more money.

Answer:

Investors can also be said to be the providers of capital. Investors invest in a company so as to get returns on their investment. These returns are mainly in the form of dividends.

Investors tend to invest in companies with a higher cost of capital has that provide them with more return.

Better out, cost of capital is the return investors are willing to get from their investment.

Investors prefer investment to savings because in savings, the money is dormant and can even reduce in value in a case of inflation. But when invested, time value of money has a little impact since investment grows with time.

Explanation:

how can a business support the community​

Answers

Answer:

It can help in many ways one way being they can hold or help hold events in the community.

Explanation:

Answer:

Business can support the community through corporate social responsibility. Providing social amenities that will improve the lives of those who live in the community.

Explanation:

Corporate social responsibility is mandatory in some areas around the world. Companies are held liable to the communities they operate in. By providing social amenities, it makes the live affected by their activities easier.

The first step in creating a budget is to identify your expenses.
OA. True
OB. False​

Answers

Answer:

True

Explanation:

Thinking about the categories of expenses is the priority before going to prepare a budget. Although it is challenging to earn or collect money, you have to think about the payments. If you make what type of sources you are going to spend, it will be easy for you to prepare the budget according to the income.

PLEASE HURRY..
List four factors you should consider when selecting a financial institution.

Answers

Answer:

The specialty or expertise of the financial institution

Their Management and Board composition

Their capital adequacy

Their performance

Explanation:

1) Specialty/Expertise:

Different financial institutions have their different area of strength/competence. Some are good in retail, some are good investment banking, some are good in deal making and consolidation etc. Depending on the purpose for which they are to be deployed, the area of their competence would matter most. E.g contracting a bank that is predominantly strong in retail banking to execute an M&A deal would not be ideal.  

2) Management & Board composition:

The strength of a financial institution is as good as the quality of the people managing it. The expertise and know how of the management in key areas of business development, strategy, operations etc. will be vital for the growth of the financial institution

3) Capital adequacy

The adequacy of the capital structure of a financial institution is critical as it determines how much business and risk it can take on. By capital adequacy, we simply mean the ratio of its equity to debt. The less leverage its balance sheet is, the more business it can take on. This is critical if the volume of transaction one is about to transact with the financial institution is large.

4) Performance

The performance of a financial institution will show how efficient it is at generating returns and creating value to its shareholders and well as stakeholders. Every investor has an expectation of returns, a financial institution should be able to meet or exceed the market average for such performance yardstick as margin, ROI (return on investment), Return on Asset (ROA) etc

Answer:

1. Location of the bank and ATMs

2. What are the services they offer

3. Fees 

4. What is the minimum balance you must have in your account

Often times, advertisers within vehicles in mass media will utilize various sounds, images, and tones to influence buying habits by consumers. Which social science most fits with this description?
A. Psychology
B. Anthropology
C. Geography
D. History

Answers

Answer:

A. Psychology

Explanation:

Psychology is a science that studies the human mind and behavior. Psychologists try to explain the underlying causes of behavior and the thought process involved. Marketers, through advertising, use psychology knowledge to influence customers to buy.

When creating advertisements, marketers use psychology concepts to give the adverts a greater impact. For example, the use of emotions to persuade customers to buy. Bottled water companies have instilled fear amongst consumers by claiming tap water is unsafe for drinking.

The use of sounds and color attracts attention. Marketers use popular music to influence behavior. By the use of appealing colors, marketers draw the customers to the product.

Which of these best describes equity?

Answers

Answer:Owner's equity is: Equal to the business’ liabilities less the business’ assets. Source

Explanation:

ANSWER IF YOU ONLY KNOW:
Match the following words to there definition:
1. Partnership A. A business that is owned by one individual.
2. Stock B. A claim on the assets of a corporation that gives the
purchaser a share of the ownership of the corporation.
3. Limited Liability C. The condition in which the owner of a business firm can
only lose the amount invested by him or her.
4. Sole Proprietorship D. A business that is owned by two or more co-owners who
share any profits the business earns and who are
responsible for any debts.

Answers

Answer:

1 to D

2 to B

3 to C

4 to A

Explanation:

The following are successfully linked to their respective definatiins.

A mortgage clause insurance a. gives the same protection as a loss payable clause b. entitles mortgages to payment even when insured have prejudiced their own rights under the policy c. bestows rights and obligations on mortgages and insured d. is an agreement between the mortgage and the insured​

Answers

Answer:

Mortgage clause insurance entitles the mortgages to make payment even when the insured have prejudiced their own rights under the terms of the policy.

Explanation:

A mortgage clause is one in which the property insurance policy states that the company of property insurance will pay out the claims to both the parties that is mortgagor (mortgage holder) and the mortgagee (mortgage lender).

It serves the purpose or objective of making sure that the parties will not suffer the losses who give mortgage loans  if something happens to the property which is mortgage is for.

Which step is the most important step in the decision making process?

A. Identifying the decision needs to be made
B. Analyzing the situation
C. Making the decision
D. Reviewing the decision which was made

Answers

Answer: A. Identifying the decision needs to be made.

Explanation:

Identifying the decision needs to be made is the topmost step in decision making process. Decision needs may stem from organizational problems hindering the achievement of goals or vision/mission statement of the organization. Thus, this gives room for decision makers to critically look into the goal of a business enterprise. For example, an enterprise that want to increase sale would have to identify the goal of sales maximization....after which analysis towards achieving the goal can be made and rational decision is taken in that regard.

Final answer:

The most important phase in the decision-making process is A. Identifying the decision that needs to be taken because it directs the processes of analysis, decision-making, and effectiveness review that follow. The correct option is A.

Explanation:

While each stage of the decision-making process is vital, A. Identifying the decision that has to be taken is arguably the most important.

This is the basis of the entire procedure. One cannot accurately assess the circumstances, arrive at a sound judgment, or evaluate the decision's efficacy without a clear definition of the issue or choice that has to be made.

For instance, determining whether a company's financial problems are caused by excessive running costs or low sales revenue will dictate the next measures. The correct option is A.

Learn more about Decision-making process here:

https://brainly.com/question/19901674

#SPJ6

Other Questions
Assume Amanda always maximizes her total utlity given her budget constraint. Every morning for breakfast she has two eggs and three sausages. If the marginal utility of the last egg is 10 utils and the price of eggs is $1 each, what can we say about the marginal utility of the last sausage if the price of each sausage is $2? a. It must be equel to 1 utils. B. It must be equal to 5 utills.C. It must be equal to 20 utls.D. It must be equal to 10 utls Judy's Boutique just paid an annual dividend of $1.48 on its common stock and increases its dividend by 2.2 percent annually. What is the rate of return on this stock if the current stock price is $29.60 a share? Which Law, Public Safety, and Security worker is most likely employed by a private business?a Federal Agent for the FBI in Los Angelesa Security Guard at the Mall of America in Minnesotaa Paralegal for the US Supreme Court in Washington, DCa Fire Investigator for the state of Massachusetts Message are carried from the eye to the brain by An acid solution is 0.100 M in HCl and 0.210 M in H2SO4. What volume of a 0.150 M solution of KOH must be added to 500.0 mL of the acidic solution to completely neutralize all of the acid? What ratio is obtained when platinum foxes are interbred? Eric is swimming along the surface of the sea. He usespositive numbers to represent elevations above thesurface of the sea and negative numbers to representsdepths under the surface of the sea.Mark is sitting on the deck of a ship above Eric, and Arielis diving beneath Eric.Who could be at an elevation of -3 m?Choose 1 answer:ArielEricMark A fear-potentiated startle is... a. the difference between a startle response in a neutral condition and in a high arousal condition. b. found in animals but not in humans. c. the startle response that one has to an unexpected burst of noise. d. an expression of fear. What can you conclude about the relationship between the time spent watching tv and the grades received on the quiz? Explain how two compounds can have the same percentage composition but different molecular masses? Whats is the difference 58-9 what seasons is in the northern and southern hemisphere? Rewrite the formula for area of a circle to find the radius of a circle.The area of a circle (A) is given by the formula A=r^2 where r is the circle's radius. The formula to find r is (1)_____. If A=54 centimeters^2 and =22/7, r is (2)_____ centimeters.1. (A/pi)^1/2; A^2/pi; pi/A2. 4.15; 2.33; 17.2 The figure shown is a rectangle. The green shape in the figure is a square. The blue and white shapes are rectangles, and the area of the blue rectangle is 24 square inches.A. Write an expression for the area of the entire figure that includes an exponent. Then find the area. B. Find the dimensions of the entire figure. What is an equation that represents the line that passes through the point (-2, 2) and is parallel toY=1/2X+ 8? Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left.Write an equation to determine the number of friends (x) at Jack's party.Find the number of friends at Jack's party. friends The government of Preon (a small island nation) was voted in at the last election with 68% of the votes. That was 2 years ago, and ever since then the government has assumed that their approval rating has been the same. Some recent events have affected public opinion and the government suspects that their approval rating might have changed. They decide to run a hypothesis test for the proportion of people who would still vote for them.The null and alternative hypotheses are:H0: Pi symbol = 0.68HA: Pi symbol 0.68The level of significance used in the test is = 0.1. A random sample of 102 people are asked whether or not they would still vote for the government. The proportion of people that would is equal to 0.745. You may find this standard normal table useful throughout this question.Calculate the test statistic (z) for this hypothesis test. Glucose-6-phosphate dehydrogenase deficiency (G6PD) is inherited as an X-linked recessive allele in humans. A woman whose father suffered from G6PD marries a man who has the disease. What proportion of their sons would have the disease? A ______ perspective would be most likely to focus on how the desire to accumulate capital and wealth leads to an attempt to reduce both human and environmental labor costs while expanding production and increasing inequality and environmental degradation. On a tropical island there are 100 potential boat builders, numbered 1 through 100. Each can build up to 16 boats a year, but anyone who goes into the boatbuilding business has to pay a fixed cost of $15. Marginal costs differ from person to person. Where y denotes the number of boats built per year, boat builder 1 has a total cost function c(y) = 15 + y. Boat builder 2 has a total cost function c(y) = 15 + 2y, and more generally, for each i, from 1 to 100, boat builder i has a cost function c(y) = 15 +iy. If the price of boats is 40, how many boats will be built per year? a. 624 b. 200 c. 936 d. 400 e. Any number between 640 and 656 is possible.