if the risk free of interes is 6% then you should be indifferent between reciving $250 today or a) 250.00 in one year b) 265 in one year c) 235.85 in one year and d) none of above

Answers

Answer 1

If the risk free of interest is 6% then you should be indifferent between receiving $250 today will be none.

To determine whether you should be indifferent between receiving $250 today and the given options, we can compare the present value of each option.

Using the formula for present value:

Present Value = Future Value / (1 + Risk-Free Interest Rate)^n

where:

Future Value is the amount to be received in the future

Risk-Free Interest Rate is the rate of return for a risk-free investment

n is the number of periods

a) $250.00 in one year:

Present Value = $250.00 / (1 + 6%)^1 = $250.00 / 1.06 = $235.85

b) $265 in one year:

Present Value = $265 / (1 + 6%)^1 = $265 / 1.06 = $250.00

c) $235.85 in one year:

Present Value = $235.85 / (1 + 6%)^1 = $235.85 / 1.06 = $222.56

Comparing the present value of each option to the $250 received today:

Option a) $250.00 in one year: The present value is $235.85, which is less than $250.00. Therefore, you would prefer to receive $250 today rather than $250.00 in one year.

Option b) $265 in one year: The present value is $250.00, which is equal to the amount received today. Therefore, you would be indifferent between receiving $250 today or $265 in one year.

Option c) $235.85 in one year: The present value is $222.56, which is less than $250.00. Therefore, you would prefer to receive $250 today rather than $235.85 in one year.

Therefore, the correct answer will be option (d)

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Related Questions

What Did You Learn?
Question 1 of 9
Which of these criteria make a person a good cosigner?
O They rent an apartment
O They pay their bills late
O They have a steady job
O They have many debts

Answers

The criterion that makes a person a good cosigner is that they have a steady job. The correct option is C.

A cosigner is someone who signs a loan or credit application with another person, typically someone with a weaker credit history or financial situation, to help them qualify for the loan or credit. The cosigner is responsible for the debt if the primary borrower fails to make payments.

Having a steady job indicates that the cosigner has a reliable source of income, which is an important factor in the lender's decision-making process.

Thus, the ideal selection is option C.

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what is the difference between manufacturer brands and store brands? between family branding and individual branding?

Answers

Family branding is a form of advertising tactic. It entails the use of one emblem call to marketplace more than one merchandise. This differs from branding man or woman merchandise, which entails giving every product its very own call and image.

The required details for Family branding in given paragraph

Umbrella branding (additionally recognized as own circle of relatives branding) is a advertising exercise related to using a unmarried emblem call for the sale of or greater associated merchandise. Umbrella branding is particularly utilized by organizations with a positive emblem equity (price of a emblem in a sure marketplace). All merchandise use the equal method of identity and absence additional emblem names or symbols etc. This advertising exercise differs from emblem extension in that umbrella branding entails the advertising of comparable merchandise, in place of differentiated merchandise, beneath Neath one emblem call. Hence, umbrella branding can be taken into consideration as a form of emblem extension.

The exercise of umbrella branding does now no longer disallow a corporation to put in force specific branding processes for specific product lines (e.g. emblem extension).

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Employees/contractors who violate oclinicals policy and procedures regarding privacy/security of confidential and restricted phi are subject to?

Answers

Employees and contractors who breach clinical privacy and security policies and procedures could face disciplinary action.

Because the metadata can be used to determine who has seen, altered, or otherwise accessed a patient's record, and individuals who handle health information and data should develop policies and procedures.

The manager may make sure that the data is produced correctly as part of the audit trail by understanding the metadata.

The use and access to protected health information (PHI) by "covered entities" is governed by the HIPAA Privacy Rule. These organizations include medical practitioners, healthcare companies, company health plans, and healthcare clearinghouses.

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What is an Individual Asynchronous Communicator? And provide 2 examples of people who are like that

Answers

Answer:

asynchronous communication is when you send a message without expecting an immediate response. For example, you send an email. I open and respond to the email several hours later. You can choose anyone you know for the example of people who are like that part. <3

Explanation:

a problem a salesperson could run into with regard to knowing the product extensively is:

Answers

A problem a salesperson could run into with regard to knowing the product extensively is the lack of credibility and trust from customers.

When a salesperson lacks in-depth knowledge about the product they are selling, it becomes challenging to effectively communicate its features, benefits, and value to potential customers. This lack of knowledge can create doubts and uncertainty among customers, leading to a lack of confidence in the salesperson's recommendations.

Customers expect salespeople to be knowledgeable and well-informed about the products they sell. When a salesperson cannot answer customer inquiries or fails to provide accurate information, it can undermine their credibility and trustworthiness. Customers may hesitate to make a purchase or seek alternatives from salespeople who demonstrate better product knowledge.

On the other hand, salespeople who possess extensive product knowledge can confidently address customer questions, provide detailed explanations, and offer personalized recommendations based on customer needs. This builds trust, enhances the salesperson's credibility, and increases the likelihood of successful sales.

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true or false: the term copyright means the author or creator has the right to own and sell a copy of the work they have produced.

Answers

Copyright refers to the legal right of the creator or author to possess and market a copy of the work they have created is true .

Copyright is a type of legal protection that gives the author of an original work the sole right to its use and distribution. This implies that the author of a piece of art, music, or literature has the authority to determine how and by whom it may be utilized.

Copyright also prevents others from using the work without permission. Copyright law grants the creator of a work the exclusive right to reproduce, distribute, and derivative works based on the original work.

Anyone wishing to use the work must seek permission from the author or a license from the copyright holder.

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Why is it a good idea to be organized in the workplace?

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It is a good idea to be organized in a workplace because an organized workplace will facilitate increased productivity and increased efficiency.

What is workplace?

A workplace is described as a place where an employee or a manager carries out projects, tasks, and jobs. It is important to mention that workplaces are the areas that are located inside a building or can be outside an office building.

An organized workplace means that everything in the workplace is kept in its respective places, and everything is very neat and clean. Such an organized workplace will allow the managers and the employees to focus entirely on the work and be more productive and efficient.

It can be concluded that it is a good idea to be organized in a workplace because an organized workplace will facilitate increased productivity and increased efficiency.

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Please help with all 3 bullet points
You have been invited to speak to a group of Managers at Paychex about increasing the business’s commitment to improved employee health benefits by increasing the opportunity to work remotely.
How will you appeal to their pathos?
How will you appeal to their ethos?
How will you appeal to their logos?

Answers

To appeal to the managers' pathos, I would emphasize the positive impact of remote work on employees' well-being, work-life balance and overall happiness.

How can remote work benefit employees' well-being and happiness?

As managers, we must recognize the profound influence of employee well-being on their productivity and loyalty. By increasing the opportunity of work remotely, we offer employees a better work-life balance and flexibility.

This lead to reduced stress levels, increased job satisfaction and improved mental health. Remote work allows employees to save commuting time, spend more quality time with their families and achieve a greater sense of control over their lives.

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true or false. 1. An increase in government expenditure financed by borrowing (running a larger budget deficit) necessarily leads GDP to rise by more than the increase in gov- ernment expenditure according to the IS-LM model. Fi

Answers

The statement "An increase in government expenditure financed by borrowing (running a larger budget deficit) necessarily leads GDP to rise by more than the increase in government expenditure according to the IS-LM model" is false.

What is the IS-LM Model?The IS-LM model is a macroeconomic model that describes the relationship between interest rates and output or income in the economy. The IS curve represents the equilibrium of the goods market, whereas the LM curve represents the equilibrium of the money market. In the short run, the model focuses on the changes in the demand for goods and services, whereas in the long run, it focuses on the supply of goods and services.

Increase in Government Expenditure and GDPIn the short run, an increase in government expenditure leads to an increase in aggregate demand, which, in turn, results in a higher GDP. An increase in government expenditure can be financed through either borrowing or taxes.

When the government finances the expenditure through borrowing, it leads to an increase in the interest rate, which results in a lower investment spending by firms.

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Which ofthe following accounts are usually transferred to the Income Statement? *
1 point
a. Rent, premises, drawings
b. Drawings, rent, purchases
c. Commission received, rent, purchases
d.Purchases, furniture, commission received​

Answers

Answer:C

Explanation:It is C because to get your commission they need to transferred to your Income Statement and for rent they need to know that you can afford to live there.To purchase big stuff they gotta look at your income to buy it.

what are the three most important value drivers that managers can use to create a competitive advantage?

Answers

The correct answer is that The most important value drivers that managers can use to create a competitive advantage are. -complements -product features -customer service.

What is competitive advantage?

Competitive advantage is central to an organization's performance in a competitive marketplace.

Differentiate your company from its competitors and pave the way for higher profit margins, greater return on investment and accumulation of valuable resources.

Competitive advantage comes from the value a company can create for its customers. Sometimes this comes in the form of lower prices than competitors for the same benefits, and sometimes in the form of unique benefits that offset the higher prices.

Ultimately, the value created for the customer must outweigh the initial cost of creating that value for the organization.

There are two types of competitive advantage-> Low cost - when a company can manufacture a product at a lower cost than its competitors.

Differentiation – When an organization can differentiate its products and services in terms of quality, style, customer service, etc. to provide customers with better value than their competitors.

Cost advantage and differentiation is the ability to better manage industry structure, or industry forces (as introduced in Michael Porter's model of five forces) that influence profitability, than competitors.

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Fiona is trying to determine whether the segments she is considering for her day care center will be profitable. Which of the following will not specifically help her in this analysis?
a. The average number of school-age children in families sending a child to the day care center.
b. The price of the product or service being offered

Answers

Option a. "The average number of school-age children in families sending a child to the daycare center" will not help her in the analysis.

The price of the product or service being offered will help her in this analysis because the cost of daycare must be cheaper or reasonable compared to others to attract more families to enroll their children in daycare. It is critical to understand whether the cost of daycare is appropriate or whether it needs to be increased or reduced.

To make an informed decision, a thorough analysis is required, including several variables such as demand for daycare in the area, the price charged by competitors in the area, and the range of services available at the daycare center. Knowing the market, target group, competition, and the right cost for daycare will help Fiona to determine whether the segments she is considering for her daycare center will be profitable.

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Cain Company reports net cash provided by operating activities of $35,000. It also reports the following information under “Adjustments to reconcile net income to net cash provided by operating activities” on its statement of cash flows (using the indirect method).

Cain Company reports net cash provided by operating activities of $35,000. It also reports the following

Answers

It can be seen from the solutions given that Cain's net income is $24,000.

Here is the solution:

Net income = Net cash provided by operating activities - Adjustments

= $35,000 - $6,000 - $10,000 + $4,000 + $7,000 + $4,000

= $24,000

Therefore, Cain's net income is $24,000.

Here is a breakdown of the adjustments:

To determine cash flow from operations, it is necessary to include the gain on equipment sales in the net income as it is a non-cash entry.

A rise in accounts receivable implies that customers are prolonging payment of their invoices, resulting in decreased cash flow from the company's activities.

The depreciation expense is classified as a non-cash expense, hence it must be included in the calculation of cash from operations by adding it back to the net income.

A decrease in inventory indicates that the company is experiencing faster turnover of its inventory, leading to increased cash flow generated by its operations.

A rise in prepaid expenses denotes that the company is channeling more funds towards prepaid expenditures like insurance and rent, implying a reduced cash inflow from its operational activities.

A decline in the amount of wages that the company owes indicates that it is not promptly compensating its workforce. Consequently, this implies that the company's operational cash flow is reduced.

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seedbed preparation
activities
1.cleared the area

Answers

Get your supplies lay them out and start your seed preparing with paper towel water and the seeds

Lightskins or Darkskins


Or Other ?

Answers

Answer:

any kind of boy

Explanation:

I have no type

Joanne runs a company that produces mattresses. Her fixed costs include electricity and labor. She recently increased the capacity of production, which increased these fixed costs. What has Joanne done to the production of her company?
Joanne has ____ the production.

Answers

Answer:

not sure but increased seems right

Explanation:

Because she increased the capacity of production which increased these fixed cost, then, she has decreased expected profit of the production.

What does increased Fixed cost do?

In production, any increase in fixed cost will increase total cost and will impct on level of profit which will decrease.

In conclusion, as she increased the capacity of production which increased these fixed cost, then, she has decreased expected profit of the production.

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A ____ consists of a novel and confidential formula, device, idea, process, pattern, or compilation of information that gives the owner a competitive advantage in the marketplace.

Answers

A trade secret consists of a novel and confidential formula, device, idea, process, pattern, or compilation of information that gives the owner a competitive advantage in the marketplace.

What is a trade secret?

Trade secrets might include things like product designs, manufacturing processes, fresh marketing tactics, and more. Legally speaking, these secrets are regarded as a type of intellectual property, much like patents, trademarks, and copyrights. Knowing what constitutes a trade secret will help to better defend the company.

Trade secrets can take on many different shapes, such as a proprietary technique, tool, pattern, design, formula, recipe, method, or approach that is not obvious to others and is used to provide an organization an edge over rivals or add value to clients.

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oligopolies are difficult to analyze because

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Oligopoly is difficult to analyze primarily because of the interdependence among the firms. The other reasons are; The group behavior of the firm, each entity understands that its decisions would influence other firms in the sector and also the firms in the market act according to the decisions of a competitive firm.
Sorry if it’s too complicated

The ___________________Party believes in individual freedom and that the only purpose of government is to protect this freedom.

Group of answer choices

Democratic

Socialist

Libertarian

Communist

Answers

It’s The third answer C

Job #4260 consisted of 1,000 units at a total cost of $200,000. The cost transferred to cost of goods sold for the sale of 600 of the units is ______.

Answers

The answer is: 120,000

Explanation:

job #4260 consisted of 1,000 units at a total cost of $200,000. The cost transferred to cost of goods sold for the sale of 600 of the units is:

total cost / units x sale of units
200,000 / 1,000 x 600
= 120,000

The cost transferred to cost of goods sold for the sale of 600 of the units is 120,000. Frequently, market analysts use models with two sources of info: actual capital, with amount K and work, with amount L.

What is Total cost?

In financial matters, total cost (TC) is the base dollar cost of creating some amount of result.

This is the total monetary cost of creation and is comprised of variable cost, which changes as indicated by the amount of a decent delivered and incorporates information sources like work and natural substances.

Work #4260 comprised of 1,000 units at a total cost of $200,000. The cost moved to cost of products sold for the offer of 600 of the units is

Total cost / units x sale of units

200,000 / 1,000 x 600

= 120,000

The negligible cost can likewise be determined by tracking down the subordinate of total cost or variable cost. Both of these subsidiaries work in light of the fact that the total cost incorporates variable cost and fixed cost, yet fixed cost is a consistent with a subsidiary of 0.

The total cost of delivering a particular degree of result is the cost of the multitude of variables of creation. Total cost in financial matters incorporates the total open door cost (benefits got from the following best other option) of each element of creation as a feature of its fixed or variable costs.

Therefore The extra total cost of one extra unit of creation is called minor cost.

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A large share of the world supply of diamonds comes from Russia and South Africa. Suppose that the marginal cost (and ATC) of mining diamonds is constant at $1,000 per diamond, and the demand for diamonds is described by the following schedule:
Table 2: Demand for Diamonds
Price Quantity
$8,000 5,000
7,000 6,000
6,000 7,000
5,000 8,000
4,000 9,000
3,000 10,000
2,000 11,000
1,000 12,000
(a) If there were many suppliers of diamonds, what would be the price and quantity?
(b) If there were only one supplier of diamonds, what would be the price and quantity?
(c) If Russia and South Africa formed a cartel, what would be the price and quantity? If the countries split the market evenly, what would be South Africa's production and profit? What would happen to South Africa's profit if it increased its production by 1,000 while Russia stuck to the cartel agreement?
(d) Use your answers to part (c) to explain why cartel agreements are often not successful.

Answers

(a) the market would reach equilibrium at a price of $3,000 and a quantity of 10,000 the intersection of the demand, marginal cost curves, where quantity supplied equals the quantity demanded.

(b) If there were only one supplier of diamonds, what would be the price and quantity?

(b) If there were only one supplier of diamonds, the supplier would have a monopoly and would set the price at the profit-maximizing level, which is the price where marginal revenue equals marginal cost. In this case, that would be $3,000 per diamond, as at this price, the quantity demanded would equal the quantity supplied. The quantity would be 10,000.

What would happen to South Africa's profit if it increased its production by 1,000 while Russia stuck to the cartel agreement?

(c) If Russia and South Africa formed a cartel, they would collude to set a higher price, such as $6,000, in order to increase their profits. The quantity would decrease to 7,000. If the countries split the market evenly, South Africa would produce and sell 3,500 diamonds, earning a profit of $3,500,000 (3,500 x $1,000). If South Africa increases its production by 1,000 while Russia sticks to the cartel agreement, South Africa's profit would decrease to $2,000,000 (2,500 x $1,000) as it would have to sell the additional diamonds at the cartel price, earning only $6,000 per diamond instead of $1,000.

Use your answers to part (c) to explain why cartel agreements are often not successful.

(d) Cartel agreements are often not successful because members have incentives to cheat on the agreement by increasing production to capture a larger share of the market. This can lead to a decrease in the overall price and profits for all members, as seen in the example above with South Africa increasing production. Additionally, new entrants may enter the market, breaking the cartel's control over the market. Furthermore, governments often intervene to prevent the formation of cartels or to break them up, as they can lead to higher prices for consumers and can restrict competition in the market.

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Dr. Peabody recorded $6,820 in services provided to clients who make monthly payments. Which of the following statements is correct?
A. The dental revenues account is debited $6,820; accounts receivable is credited $6,820.
B. Accounts receivable is credited $6,820; the dental revenues account is credited $6,820.
C. Accounts receivable is debited $6,820; the dental revenues account is debited $6,820.
D. Accounts receivable is debited $6,820; the dental revenues account is credited $6,820.

Answers

Answer:

D. Accounts receivable is debited $6,820; the dental revenues account is credited $6,820.

Explanation:

The two accounts that are affected here are accounts receivables ( Assets) and the revenue account ( affects capital). The accounts receivable will increase as payment is expected at the end month. Since receivable are assets, an increase in receives is recorded as a debit of the account receivable account. $ 6,820 will be debited on the accounts receivables.

The services rendered increases the revenue to Dr. Peabody.  Revenue is considered a capital account because it increases the owner's equity. An increase in a capital account is credited. Dr. Peabody will credit the dental revenue account with $6,820.

What must societies do to provide goods and services given that resources are scarce?

Answers

Answer:

They have to be allocated properly. A further explanation is given below.

Explanation:

The precious resources of the social system must be an implementation of the overall organization to that same manufacturing of merchandise, throughout trying to maintain with the tastes and preferences of the members of the population. The certain apportionment of collective resources will indeed contribute throughout the concentration of a single combined effect of various merchandise.

Find the amount of the payment to be made into a sinking fund so that enough will be present to accumulate the following amount. Payments are made at the end of each period. $55,000; money earns 6% compounded semiannually for 3 2
1

years How much money must she deposit at the end of each quarter? 4 (Do not round until the final answer. Then round to the nearest cent as needed.) An investor needs $12,000 in 19 years. (a) What amount should be deposited in a fund at the end of each quarter at 9% compounded quarterly so that there will be enough money in the fund? (b) Find the investor's quarterly deposit if the money is deposited at 4.1% compounded quarterly. Find the final amount in the following retirement account, in which the rate of return on the account and the regular contribution change over time. $1400 per quarter invested at 6.6%, compounded quarterly, for 13 years; then $1800 per quarter invested at 6.7%, compounded quarterly, for 15 years. Find the final amount in the account. $ (Do not round until the final answer. Then round to the nearest dollar as needed.)

Answers

a) approximately $3,421.38 should be deposited at the end of each quarter.  b) approximately $54.14 should be deposited in the fund at the end of each quarter. c) The final amount in the account would be approximately $264,525.

a) To calculate the amount to be deposited at the end of each quarter, we can use the formula for the future value of an ordinary annuity:

A = PMT ×\(\frac{(1+\frac{r}{n}) ^{(nt)-1} }{\frac{r}{n} }\)

Substituting the given values, we have:

$55,000 = PMT × \(\frac{(1+\frac{0.06}{2}) ^{(2* 3.5)-1} }{\frac{0.06}{2} }\)

Solving for PMT, we find:

PMT = $3,421.38

Therefore, approximately $3,421.38 should be deposited at the end of each quarter.

b) Similarly, using the future value of an ordinary annuity formula, we can determine the quarterly deposit:

$12,000 = PMT ×\(\frac{(1+\frac{0.09}{4}) ^{(4*19)-1} }{\frac{0.09}{4} }\)

Solving for PMT, we find:

PMT = $54.14

Thus, approximately $54.14 should be deposited at the end of each quarter.

c) To calculate the final amount in the retirement account, we need to calculate the future value for each investment period and then sum them together. In the first period, we have:

$1,400 per quarter, 6.6% interest rate compounded quarterly, and 13 years:

FV1 = $1,400 ×\(\frac{(1+\frac{0.066}{4}) ^{(4*13)-1} }{\frac{0.066}{4} }\)

In the second period, we have:

$1,800 per quarter, 6.7% interest rate compounded quarterly, and 15 years:

FV2 = $1,800 ×\(\frac{(1+\frac{0.067}{4}) ^{(4*15)-1} }{\frac{0.067}{4} }\)

The final amount in the account is the sum of FV1 and FV2:

Final Amount = FV1 + FV2 = $264,525

Hence, the final amount in the retirement account would be approximately $264,525.

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what is engineering?​

Answers

Answer:

Engineering is an occupation with an extremely wide reach. The term 'engineering' covers many fields and, by extension, many skills. Engineers are scientists, inventors, designers, builders and great thinkers and improve the state of the world, expand human capability and make people's lives safer and easier.

Engineering skills include:

The scientific methodSocial, cultural and economic awareness  MathematicsBiology, chemistry, physics and other areas of scienceCreativityTeamworkWhere science is involved with designs, buildings, use of engines, machines, and structures.
Engineering is the process of designing the human-made world. Engineering is the systematic application of knowledge and experience to solve problems and protect and improve lives. It takes a thought, or an abstract idea, and translates it into reality.

the most common retrospective reimbursement method is fee-for-service. group of answer choices true false

Answers

The statement is "true." The most common retrospective reimbursement method is fee-for-service.

Fee-for-service is indeed the most common retrospective reimbursement method in healthcare. Retrospective reimbursement refers to the payment system where providers are reimbursed based on the services they have rendered to patients.

In a fee-for-service reimbursement model, healthcare providers receive payment for each specific service or procedure they deliver to patients. The reimbursement amount is typically determined by a pre-set fee schedule or a negotiated rate between the provider and the payer, such as an insurance company or government program.

This reimbursement method has been prevalent in healthcare for many years. It allows providers to bill and be paid for each individual service provided, allowing for flexibility in determining the payment amount based on the complexity and quantity of services rendered. Fee-for-service reimbursement is commonly used in various healthcare settings, including hospitals, clinics, and private practices.

However, it's worth noting that healthcare reimbursement models have been evolving in recent years, with an increased emphasis on value-based care and alternative payment models. These models focus on quality, outcomes, and cost-effectiveness, aiming to shift away from the volume-based fee-for-service approach. Nonetheless, fee-for-service remains the most widely used retrospective reimbursement method in healthcare.

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Andy has two nephews and three nieces. He wants to give each of them the maximum gift he can disburse without having to file a gift tax return. What is the total aggregate amount that Andy can give his two nephews and three nieces in 2021?

Answers

The total aggregate amount that Andy can give his two nephews and three nieces in 2021 is $75,000.

What is a gift in tax?

Inn tax, a a gift means a transfer of property for an amount lesser than its full value.

Usually, individual are allowed to allow a transfer of $15,000 per gift recipient.

Aggregrate amount = $15,000 * 5 (2 nephew+ 3 niece)

Aggregrate amount = $75,000

In conclusion, the total aggregate amount that Andy can give his two nephews and three nieces in 2021 is $75,000.

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In the last paragraph, you need to compare your
country's government with what you know about the US
government.
Write your final paragraph in this space.

Answers

The government of my country is vastly different from the US government. In my country, the government is a unitary system, meaning that the power and authority are concentrated in a central government.

What is the comparison of our country's government with what you know about the US government?

Our government is a constitutional monarchy, with Queen Elizabeth II as the Head of State. The government is headed by a Prime Minister who is chosen by the majority party in the House of Commons. The US government is a federal republic, with the President as the Head of State. The government is headed by the President, who is elected by the people in a general election. Both governments have a bicameral legislature, consisting of an upper and lower house. Both countries have a system of checks and balances, where the executive, legislative, and judicial branches are equal. Additionally, both countries have a judicial system to uphold the rule of law. However, the US is a republic and the UK is a monarchy, so there are some differences in terms of how their respective governments are organized.

So, These were the comparison of our country's government with what you know about the US government.

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Two-thirds of a number is two more than one-half of another number. The sum of the number is 129. Find the numbers.​

Answers

Answer: 57 ; 72

Explanation:

Given information

2/3 of a number is 2 more than (1/2) of another number

Sum = 129

Set variables

Let x be the first number

Let y be the other number

Set system of equations

\(1)~\dfrac{2}{3} x=\dfrac{1}{2} y+2\)

\(2)~x + y=129\)

Eliminate fractions in the 1) equation

\(\dfrac{2}{3} x\times6=\dfrac{1}{2} y\times6+2\times6\)

\(4x=3y+12\)

Move x and y onto the same side

\(4x-3y=12\)

Current System

\(1)~4x-3y=12\)

\(2)~x + y=129\)

Multiply 3 on both sides in 2) equation

\(x\times3 + y\times3=129\times3\)

\(3x+3y=387\)

Current System

\(1)~4x-3y=12\)

\(2)~3x+3y=387\)

Add 1) equation and 2) equation together

\((4x - 3y)+(3x+3y)=(12)+(387)\)

Expand parenthesis and combine like terms

\(4x - 3y + 3x + 3y = 12 + 387\)

\(4x + 3x - 3y + 3y=399\)

\(7x=399\)

Divide 7 on both sides

\(7x\div7=399\div7\)

\(\Large\boxed{x=57}\)

Substitute the x value into one of the equations to find the y value

x + y = 129

(57) + y = 129

y = 129 - 57

\(\Large\boxed{y=72}\)

Hope this helps!! :)

Please let me know if you have any questions

Assume that Reliable Corp. operates in an industry for which NOL carryback is allowed. Reliable Corp. had a pretax accounting income of $30 million this year. This included the collection of $40 million of life insurance proceeds when several key executives died in a plane crash. Temporary differences for the current year netted out to zero. Reliable has had a 25% tax rate and taxable income of $120 million over the previous two years and plans to elect a net operating loss carryback for tax purposes. In the current year financial statements, Reliable would report Multiple Choice Net income of $32.5 million. A tax benefit of $10 million,
Net income of $26 million. A deferred tax asset of $2.5 million,

Answers

Net income of $32.5 million. A tax benefit of $10 million, and a deferred tax asset of $2.5 million.

In this scenario, Reliable Corp. had a pretax accounting income of $30 million, which included the collection of $40 million of life insurance proceeds due to the death of several key executives.

However, since temporary differences for the current year netted out to zero and the company plans to elect a net operating loss carryback for tax purposes, the net income reported on the financial statements for the current year would be $32.5 million.

The tax benefit that the company would receive due to the net operating loss carryback is $10 million, which would reduce the taxable income for the previous two years from $120 million to $110 million.

As a result, the company would have a deferred tax asset of $2.5 million, representing the amount of taxes that the company can defer to future years due to the net operating loss carryback.

Therefore, the correct answer is: Net income of $32.5 million. A tax benefit of $10 million, and a deferred tax asset of $2.5 million.

To learn more about net income, refer below:

https://brainly.com/question/15570931

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