loan s has a nominal rate of 10.755%, compounded annually. Loan S will give Andrew the best effective interest rate.
The effective interest rate on an investment or loan is the effective yearly interest rate since it takes compounding into account. The rate increases with the number of compounding periods.
The EAR is advertised in place of the stated interest rate when banks pay interest on your deposit account. For instance, the effective yearly interest rate for a deposit at a stated rate of 10% compounded monthly would be 10.47%.
The methods necessary to determine the effective interest rate while simply considering the effect of compounding are as follows:
Enter the compounding time and stated interest rate into the following formula to determine the effective interest rate:
r = (1 + i/n)^n-1
Where:
r = The effective interest rate
i = The stated interest rate
n = The number of compounding periods per year
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which aspect of health are you building when you get enough sleep
The aspect of health that you are building when you get enough sleep is brain performance.
What is health?It should be noted that health simply means the state of being free from illness. Maintaining one's physical condition and taking precautions to lower the risk of contracting various diseases constitutes being healthy. Health is the body's innate capacity to adjust to the physical and psychological changes to which it is subjected.
It should be noted that it's important for individuals to slide for at least 8 hours every day in order to stay healthy.
Therefore, the aspect of health that you are building when you get enough sleep is brain performance.
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a) A man has $4.55 in change composed entirely of dimes and quarters. What are the maximum and minimum number of coins that he can have? Is it possible for the number of dimes to equal the number of quarters? (b) The neighborhood theater charges $1.80 for adult admissions and $.75 for children. On a particular evening the total receipts were $90. Assuming that more adults than children were present, how many people attended? (c) A certain number of sixes and nines is added to give a sum of 126; if the number of sixes and nines is interchanged, the new sum is 114. How many of each were there originally?
The man has a minimum of 14 coins and a maximum of 50 coins. It is not possible for the number of dimes to equal the number of quarters.
Let's assume the number of adult admissions is x and children's admissions is y. Therefore, the number of adults was greater than the number of children, and the total receipt was $90. Also, the theater charges $1.80 for adult admissions and $.75 for children.
Now, as per the given data, we can form two equations:
x + y = the total number of people (equation 1)$
1.80x + $0.75y = $90 (equation 2)
To solve these equations, we can multiply equation 1 with 1.80 and subtract it from equation 2.
Let's solve the equation:
(1.80x + 1.80y) - (1.80x + 0.75y) = 90 - (1.80 × total number of people)y = 3.6(total number of people - 50)
As the number of adults is greater than children,
the value of x is greater than y.
Also, the number of attendees cannot be a fraction, so we can try different values of y to find a suitable value that satisfies both the above conditions.
By substituting the value of y in equation 1, we can calculate the value of x.
Let's try different values of y:
y = 1, then x = 89y = 2, then x = 88y = 3, then x = 87y = 4, then x = 86
From the above calculations,
it is evident that y = 4, and x = 86 satisfy both conditions.
Hence, 86 adults and 4 children attended the show.
c)There were 45 sixes and 81 nines originally.
The steps to solve this problem are as follows:
Let the number of sixes is x and the number of nines be y.
Therefore, x + y = 126 (equation 1)6x + 9y = 1260 (equation 2)Dividing equation 2 by 3,
we get,2x + 3y = 420 (equation 3)Multiplying equation 1 by 2 and subtracting it from equation 3, we get:
y = 54Substituting the value of y in equation 1,
we get:
x + 54 = 126
Therefore, x = 72
Hence, there were 72 sixes and 54 nines originally.
If the number of sixes and nines is interchanged, the new sum is 114. Therefore, the number of sixes and nines interchanged were 54 and 72, respectively.
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Mary (42) and roland (43) are married with no dependents. they will file separate returns for 2021. roland files his return first and claims total itemized deductions of $23,500. if mary chooses to claim the standard deduction rather than itemizing when she files her return, what is the maximum amount she may claim? $0 $1,600 $12,550 $25,100
Mary is only permitted to recover up to zero dollars. Check out the explanation below.
What justification do you have for this choice?Due to the requirement that if a married couple files separate returns and one of them makes advantage of itemized deductions, the other must also do so. The ordinary deduction cannot be used by him or her.
Mary can claim a standard deduction of a maximum of $0 as a result.
Describe Standard Deduction.
The amount of income taxed is reduced by the standard deduction, which is a fixed dollar amount. Your standard deduction is equal to the sum of the basic standard deduction and any additional standard deductions for old age or blindness.
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Newland Industries is looking to expand its inventory line. What facet of the statement of cash flows will potential suppliers analyze when considering adding Newland as a customer
When Newland Industries is looking to expand its inventory line, potential suppliers will analyze the "operating activities" facet of the statement of cash flows when considering adding Newland as a customer.
The statement of cash flows is divided into three main sections: operating activities, investing activities, and financing activities. Operating activities represent the company's primary business transactions and show how much cash is generated from the company's core operations. This section is particularly important for suppliers because it demonstrates Newland's ability to generate cash from sales and cover its day-to-day expenses, such as paying for inventory.
Potential suppliers will carefully examine the operating activities to assess Newland's financial health and its ability to pay for the additional inventory in a timely manner. They will look for positive cash flow from operations, as this indicates that Newland is generating more cash than it is spending, suggesting a strong financial position. Additionally, suppliers may evaluate trends in cash flow from operations to see if Newland's financial position is improving or declining over time.
By analyzing the operating activities facet of the statement of cash flows, potential suppliers can make informed decisions about whether or not to add Newland Industries as a customer based on the company's ability to generate cash from its core operations and meet its financial obligations.
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Which loan type am I? I have limits on the amount that you can borrow based on your year in college. The federal government makes the interest payments on me while you are in college, and you make the interest payments on me after you graduate.
FIN-FL-10-10.1: Which loan type am I? I have limits on the amount that you can borrow based on your year in college. The federal government makes the interest payments on me while you are in college, and you make the interest payments on me after you graduate.
Unsubsidized Federal Student Loan
Private Student Loan
Subsidized Federal Student Loan
Institutional Student Loan
Based on the characteristics, the type of loan described is the Subsidized Federal Student Loan.
What is a student loan?This is a type of loan provided by banks or other types of financial institutions that aims at covering tuition and other education-related expenses.
What are the types of student loans?Some of the types of student loans include:
Private student loans.Federal loans (classified into subsidized or unsubsidized).Institutional student loan.What is a subsidized federal student loan?This type of loan differs from other types because:
Students do not pay interests until they graduate, instead, the federal government pays these interests.The federal government regulates this type of loan, which includes regulating how much you can borrow.Learn more about loans in: https://brainly.com/question/11794123
Answer:
Subsidized Federal Student Loan
Explanation:
I just know
For consumers with an income around $50,000 a year, you can expect the price elasticity of demand to be more elastic for a $20,000 ski boat than for a $1 roll of toilet paper.
For consumers making roughly $50,000 per year, you may anticipate that the price elasticity of demand for a $20,000 ski boat will be higher than for a $1 roll of toilet paper.
The statement is true.
The degree of elasticity increases with the ratio of an expense to income. If the cost of the ski boat, for instance, rises to $50,000, it is quite unlikely that someone with a $50,000 income would be able to buy it. Its demand elasticity would be very high as a result.
However, the cost of a roll of toilet paper cannot be more than $10. It would therefore have an inelastic demand.
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4. If your checking account's balance is
$3,678.89 and you withdraw $1,514, what
is the remaining balance?
A $2,164.89
B $5,192.89
C$2,614.89
D $3,678.89
(Step by step ) please
jim's company has recently opened branch offices in several countries where they had not been located in the past. what technique might best help those reading jim's report on the company's growth to quickly grasp this progress?
The technique that might best help those reading Jim's report on the company's growth to quickly grasp this progress is the use of visual aids.
Visual aids are a great way to represent data and information so that it can be easily understood by the readers. It involves the use of images, graphs, charts, diagrams, and videos to present information in a more effective manner. In Jim's report, he can use graphs to represent the growth of the company in each of the new locations where they have opened their branches.
The graph could represent the number of customers, revenue generated, and profits from each branch in the various countries where they have opened branches. Jim could also use images to show the locations of each branch, so readers can quickly get a better idea of the countries where the branches were opened.
In conclusion, the best technique that might best help those reading Jim's report on the company's growth to quickly grasp this progress is the use of visual aids.
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You have recently subscribed to an online data analytics magazine. You really enjoyed an article and want to share it in the discussion forum. Which of the following would be appropriate in a post? Select all that apply.
Giving credit to the original author
Including your own thoughts about the article
Checking your post for typos or grammatical errors
The appropriate options for a post are : Giving credit to the original author, Including your own thoughts about the article and Checking your post for typos or grammatical errors.
The requirements for posting articleWhen sharing information on the internet, it is important to give credit to the original author. In this case, the original author is the online data analytics magazine.
Therefore, giving credit to the magazine by mentioning the magazine name, author name, and publication date is necessary.
In addition to giving credit, sharing one's thoughts and opinions about the article is also essential. It is an excellent way to engage in meaningful conversations, generate new ideas, and connect with other people who share similar interests.
By providing a thoughtful response, you demonstrate that you have understood the article and have a well-thought-out perspective on it.
Lastly, checking your post for typos or grammatical errors is crucial. Poor grammar and spelling can distract the reader from the content and may make you seem unprofessional.
Therefore, it is necessary to proofread the post before publishing it. Thus, giving credit to the original author, including one's own thoughts about the article, and checking for typos or grammatical errors are the appropriate options when sharing an article from an online data analytics magazine in a discussion forum.
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When two different messages produce the same hash value what has occurred?
When two different messages produce the same hash value, it is called a hash collision. This means that the hash function used to generate the hash value was unable to produce a unique output for each input, and two different messages ended up with the same output.
While hash collisions are rare, they can still occur in certain circumstances, such as when the hash function is not strong enough or when there is a deliberate attempt to create a collision.
Hash collisions can pose security risks in certain situations, such as when a malicious user attempts to create a fake message with the same hash value as a legitimate message. This is known as a hash collision attack and can be used to bypass security measures such as digital signatures or to create fake digital certificates.
To prevent hash collisions, it is important to use strong hash functions that are resistant to collisions and to regularly update them as new vulnerabilities are discovered. Additionally, using salted hashes, where a random value is added to the message before hashing, can make it more difficult for attackers to create hash collisions.
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Kimberly's Boutique wants to know what it takes to have $25,200 in operating income. If her selling price is $20, variable cost is $8 and fixed costs total $40,000, what must her sales revenue be in order to reach her goal? a. $33, 340 b. $150,000 c. $100,000 d. $50,000
To calculate the sales revenue that Kimberly's Boutique needs to achieve an operating income of $25,200, we can use the contribution margin ratio formula, which is:
Contribution Margin Ratio = (Selling Price - Variable Cost) / Selling PriceOnce we have the contribution margin ratio, we can use it to calculate the sales revenue needed to achieve the desired operating income. The formula to calculate the sales revenue is:Sales Revenue = (Operating Income + Fixed Costs) / Contribution Margin RatioPlugging in the given values, we get:Contribution Margin Ratio = ($20 - $8) / $20 = 0.6 or 60%Sales Revenue = ($25,200 + $40,000) / 0.6 = $100,000 the sales revenue that Kimberly's Boutique needs to achieve an operating income of $25,200 is $100,000. This means that she needs to generate $100,000 in sales revenue in order to cover her variable and fixed costs and achieve her desired operating income of $25,200.
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product sales inc. adheres strictly to the goal of maximizing profits. even so, product sales will benefit by also using ethical behavior:
True. While the primary goal of Product Sales Inc. may be to maximize profits, incorporating ethical behavior can still be beneficial.
Ethical behavior helps build trust and credibility with customers, suppliers, and other stakeholders, which can lead to long-term business relationships and customer loyalty. Additionally, ethical behavior promotes a positive reputation in the market, which can attract more customers and enhance the company's brand image. Furthermore, adhering to ethical standards can help avoid legal and regulatory issues, maintain employee morale, and contribute to a positive work culture. All of these factors can ultimately contribute to the long-term success and profitability of Product Sales Inc.
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write the importance of WTO
Answer:
In brief, the World Trade Organization (WTO) is the only international organization dealing with the global rules of trade. Its main function is to ensure that trade flows as smoothly, predictably and freely as possible.
Explanation:
this is the importance I think it could have.
Has anyone ever had the thought of wanting more friends but you are so weary of the people around you that you are not sure? I am not petty but if your nothing but drama please unfriend me.
Answer:
I wanna be friends!
Explanation:
I like Anime
Answer:
I have
Explanation:
the definition of property for purposes of irc 351 includes unrealized recievables transferred by a cash basis taxpayer
The definition of property for purposes of IRC 351 includes unrealized receivables transferred by a cash basis taxpayer.
IRC 351 is a section of the Internal Revenue Code that deals with the tax treatment of transfers of property to a corporation in exchange for stock. It allows for certain transfers to be tax-free if specific criteria are met.The term "property" in the context of IRC 351 refers to any assets that are transferred in the exchange. This includes both tangible assets like buildings and equipment, as well as intangible assets like patents and copyrights.
In the case of a cash basis taxpayer, who recognizes income when it is actually received, unrealized receivables are also considered property for the purposes of IRC 351. Unrealized receivables are amounts owed to the taxpayer but not yet collected.For example, let's say a cash basis taxpayer transfers their business to a corporation in exchange for stock.Along with the tangible assets of the business, they also transfer the right to collect unpaid invoices from customers.
These unpaid invoices are considered unrealized receivables and are included in the definition of property for IRC 351.By including unrealized receivables in the definition of property, IRC 351 ensures that the tax treatment of these assets is consistent with other types of property transferred in the exchange. This helps to ensure fairness and accuracy in determining the tax consequences of such transactions.
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Alpha can produce either 18 oranges or 9 apples an hour, while Beta can produce either 16 oranges or 4 apples an hour. Which of the following statements is true? Alpha should export to Beta, but Beta should not export to Alpha. Since Alpha has an absolute advantage in both goods, no mutual gains from trade are possible. If Alpha specializes in growing oranges and Beta specializes in growing apples, they could both gain by specialization and trade. If Alpha specializes in growing apples and Beta specializes in growing oranges, they could both gain by specialization and trade.
Answer:
If Alpha specializes in growing apples and Beta specializes in growing oranges, they could both gain by specialization and trade.
Explanation:
A country has comparative advantage in production if it produces at a lower opportunity cost when compared to other countries. A country should specialise in the production of goods for which it has a comparative advantage
Alpha
Opportunity cost in producing oranges = 9/18 = 0.5 apples
Opportunity cost in producing applies = 18/9 = 2 oranges
Beta
Opportunity cost in producing oranges = 4 / 16 = 0.25
Opportunity cost in producing applies = 16/4 = 4 oranges
Alpha has an opportunity cost in the production of apples while beta has a comparative advantage in the production of oranges
Alpha should specialise in the production of apples
Beta should specialise in the production of oranges
How is private public partnership structured ???
Violet and Lilly are hosting a grand opening for their local bakery shop. What is the best research strategy for them to determine what baked goods to keep in stock the most?
A) Conduct a survey through a radio ad
B) Interview customers as they enter the shop
C) Post photos of the event on social media
D) Talk with grocery store managers
The best research strategy for Violet and Lilly to determine what baked goods to keep in stock the most is interview customers as they enter the shop. (Option B).
What is Research Strategy?A Research Strategy is a step-by-step action plan that directs your thoughts and efforts, allowing you to do research in a methodical and timely manner, resulting in good results and detailed reporting. The research strategy determines the overall direction of the inquiry.
The three most commonly used research methodologies are quantitative, qualitative, and mixed methods. The researcher anticipates the type of data needed to address the study question.
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Maria is considering various business entity types in order to set up her new business. She wants to know which entities are subject to double taxation. You tell her that the entities subject to double taxation are:
Answer:
1. Corporations
2. Limited liability companies that are elected to be treated as corporations
Explanation:
Double taxation is when tax has to be paid two times on on the same particular source of income. A corporation pays tax at 2 levels. That is at the personal level and sat the business level. From dividends, taxes are paid by shareholders, corporations pay taxes on what they also warn annually.
Entities subject to double taxation includes, corporations and the limited liability companies treated as corporations.
Magic Events, Inc. is a global concert promoter that is organizing the world concert tour of the newest boy band. The company has a global reputation for generating the highest revenues for their entertainers based on lucrative event triangles. What is the most critical factor in a successful event triangle?
A.
as much advertising to fans as possible
B.
mutually beneficial exchanges
C.
selling as much merchandise as possible
D.
choosing the right sponsors
Answer:
A. as much advertising to fans as possible
Explanation:
The event triangle is made up of these 3 components
1. The participants
2. The sponsors
3. The spectators
Here the fans represent the spectators. They are the most critical factor of the event triangle .
The spectators are those who the boy band would be playing for. They are the ones who would go out to watch the event.
The spectators become monetary when the advertisement gets them to buy tickets for the event. That is they pay a fee to watch the event.
Primarily they provide necessary financial support for the event plus the money made from adverts.
True or False: To finalize the budget, compare projected income to projected expenses. When income equals or exceeds total expenses, it is considered a balanced budget.
To finalize the budget, compare projected income to projected expenses. When income equals or exceeds total expenses, it is considered a balanced budget is True.
What is a Budget?
A Budget is a proposed plan that contain estimation on the spending plan based on the income and expenditure.
It is an estimate of the amount of money to be made and how much will be spend in a period or a year.
Therefore, it is True because A balanced budget is an estimation of a plan where the income is equal or exceeds the expenditure in a period.
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What best describes the main purpose of a budget
Explanation:
A budget helps create financial stability. By tracking expenses and following a plan, a budget makes it easier to pay bills on time, build an emergency fund, and save for major expenses such as a car or home. Overall, a budget puts a person on stronger financial footing for both the day-to-day and the long term.
Do some research on protecting email using SPF, DKIM, and DMARC. In your own words, share a practical insight you discovered. Try to keep your response to 1 to 3 paragraphs. Be sure to include citations and references to your research source(s).
SPF (Sender Policy Framework), DKIM (Domain-based Message Authentication, Reporting and Conformance), and DMARC (Domain-based Message Authentication, Reporting, and Conformance) are email authentication protocols that help prevent email spoofing and phishing scams.
SPF is used to verify the sender's identity by checking if the email was sent from an authorized IP address. It works by creating a DNS record that specifies the IP addresses that are allowed to send email on behalf of a domain. If an email is sent from an IP address that is not listed in the SPF record, it is considered invalid and may be marked as spam or rejected by the recipient's email server.
DKIM is used to verify the authenticity of an email by checking if the email was signed with a valid digital signature. It works by adding a digital signature to the email header that includes information about the sender's domain name and the email content. The recipient's email server can then verify the signature using the sender's public key. If the signature is valid, the email is considered authentic and may be accepted.
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a marketer wants to advertise a new spa package to people who have interacted with their last ad campaign.
The marketer can effectively advertise the new spa package to people who have interacted with their last ad campaign, maximizing the chances of engagement and conversion by following this :
Identify the target audience:Create a custom audienceCraft a compelling messageDesign targeted adsMonitor and optimize1. Identify the target audience: The marketer should analyze the data from the last ad campaign to identify the specific group of people who interacted with it. This can include those who clicked on the ad, visited the website, or made a purchase.
2. Create a custom audience: Using the data collected, the marketer can create a custom audience in their advertising platform. This audience should include the individuals who have previously interacted with the campaign.
3. Craft a compelling message: The marketer should develop a clear and concise message for the new spa package that highlights its unique features and benefits. It should resonate with the interests and preferences of the target audience.
4. Design targeted ads: With the custom audience selected, the marketer can design targeted ads specifically tailored to this group. These ads can be displayed on various platforms, such as social media or websites, where the audience is likely to be present.
5. Monitor and optimize: The marketer should closely monitor the performance of the ads and make necessary optimizations to improve their effectiveness. This can include adjusting the targeting, messaging, or visuals based on the response and feedback received.
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1. What do you believe are the three biggest benefits of sustainable farming? no links or files
Answer:
Explanation:
Sustainable farming means a number of practices; each has it own benefits. Crop rotation is one of them and it benefits the soil as different nutrients are needed for different crops. That will keep the soil healthy. It also involves minimize use of pesticides and herbicides. Any petrochemical products like pesticides and herbicides will have adverse effect on the environment in the long term. Last but not least is optimizing use of water. Excessive irrigation not only wastes water but it also creates runoffs from the field. By optimizing the use, it saves water, reduce runoffs and erosion.
There are many parts of this
Rotation of cropsRotation of crops helps the soil to regain those required minerals again.
Organic farmingOrganic farming increases the production but also keeps the soil.healthy
Why did I get a letter from the Utah State Tax Commission?
Receiving a letter from the Utah State Tax Commission can be concerning, but it's important to understand the reasons why the commission may be reaching out to you. There are a variety of reasons why you may receive a letter from the Utah State Tax Commission, but some common reasons include:
Tax return errors: If the Tax Commission has identified errors on your tax return, they may send you a letter to notify you of the discrepancies and request that you correct them.Unpaid taxes: If you owe taxes to the state of Utah, the Tax Commission may send you a letter to notify you of the outstanding balance and request payment.Audit: If the Tax Commission has selected your tax return for an audit, you will receive a letter from the commission indicating that they will be reviewing your tax return and may request additional information or documentation.Refund issues: If there are issues with your tax refund, such as a delay in processing or a dispute over the amount, the Tax Commission may send you a letter to notify you of the situation and provide you with next steps.To know more about tax refer to-
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According to _____, location-specific advantages are of considerable importance in explaining both the rationale for and the direction of foreign direct investment.
Multiple Choice
a. the infant industry argument
b. market imperfections theory
c. internalization theory
d. the eclectic paradigm
e. Knickerbocker's theory
The correct option d. the eclectic paradigm. According to the "eclectic paradigm," location-specific benefits play a significant role in describing the motivation behind and course of foreign direct investment.
Explain about the foreign direct investment?The goal of obtaining a long-term interest in a company located in another economy by an investor from one economy is reflected in the type of international investments known as foreign direct investment (FDI).
For instance, a US business may buy stock in a foreign firm that provides it with all the raw resources it requires. A corporation invests together in foreign company that is irrelevant to its main business in a conglomerate FDI.Economic theory, also referred to as the OLI model as well as OLI framework, is the eclectic paradigm. It gets over the drawbacks of fragmentary theories of global production and offers a comprehensive framework in which alternative and related theories of global production can coexist.Thus, according to the "eclectic paradigm," location-specific benefits play a significant role in describing the motivation behind and course of foreign direct investment.
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The last group to adopt a new product, _________, is oriented toward the past and is suspicious of new products.
a) non-adopters
b) laggards
c) innovators
d) late adopters
e) late majority
The last group to adopt a new product, known as laggards , is oriented toward the past and is suspicious of new products. The correct option is b.
Laggards are typically characterized by their resistance to change and are more likely to stick with traditional methods and products that they are familiar with. They usually have limited social interaction and often need to see substantial evidence of the benefits of a new product before considering adopting it.
Laggards are the last of the five categories of adopters in the Diffusion of Innovations theory, following innovators, early adopters, early majority, and late majority. Each group adopts new products at different rates, with laggards being the slowest to adopt innovations due to their past-oriented mindset and skepticism. The correct option is b.
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Which occurrence is an emerging trend in International agricultural marketing? A the percentage of agricultural trade is decreasing В. the percentage of agricultural trade is increasing C.agricultural markets around the world are shrinking D. developing nations have moved from net importers to net exporters E. developed nations have stopped trading in agriculture
Answer:
answer is b
Explanation:
Answer:
the answer is b
Explanation:
i got it right on edmentum
You are the manager of a monopoly, and your analysts have estimated your demand and cost functions as P=500−2Q and qQ ) = 2,000+2Q 2
, respectively. a. What price-quantity combination maximizes your firm's profits? Instructions: Round your response to the nearest penny (two decimal places? Price: $ Quentity: units b. Calculate the maximum profits. Instructions: Round your response to the nearest penny (two decimal placesk. 5 c. Is demand elastic, inelastic, or unit elastic at the profit-maximizing price-quantify combination? Eiastic inelastic Unit elastic d. What price-quantily combination maximizes revenue? Instructions: Round your response to the nearest penny (two decimal places). Price: $ Quantity? units c. Is demand elastic, inelastic, or unit elastic at the profit-maximizing price-quantity comblnation? Elastic Inelastic Unit elastic d. Whot price-quantity combination maximizes revenue? Instructions: Round your response to the nearest penny (two decimal places). Price: $L Quentity: Quenits e. Colculate the maximum revenues. Instructionst Round your response to the nearest penny (two decimal places). C. Is demond elastic, inelastc, or unit elastic at the revenue-maximizing price-quantity combination? Elastic Inelastic Unit elastic
Price-quantity combination that maximizes a firm's profits is $250 and 125 units. When estimating the monopoly's demand and cost functions as P = 500 - 2Q and C(Q) = 2,000 + 2Q² respectively.
The price-quantity combination that maximizes the monopoly's profits is determined by taking the first derivative of the profits equation and equating it to zero to obtain the quantity demanded that maximizes the company's profits. Hence, P(Q) = R(Q) - C(Q) = (500 - 2Q)Q - [2,000 + 2Q²].
Therefore, P(Q) = -2Q² + 498Q - 2,000. Then, P'(Q) = -4Q + 498 = 0. Solving for Q, we have; Q = 124.5 units (approx.)The optimal price-quantity combination is where P = 500 - 2Q = 500 - 2(124.5) = $251 and Q = 124.5 units. Thus, the price-quantity combination that maximizes a firm's profits is $250 and 125 units.
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