Resolve (7x+19)/(x+1)(x+5) into partial fraction​

Answers

Answer 1

Answer:

[tex]\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{3}{x+1}+\dfrac{4}{x+5}[/tex]

Explanation:

The given expression is  

[tex]\dfrac{7x+19}{(x+1)(x+5)}[/tex]

We need to resolve this into partial fraction.

The form of the partial fraction decomposition is

[tex]\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{A}{x+1}+\dfrac{B}{x+5}[/tex]        ...(1)

[tex]\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{A(x+5)+B(x+1)}{(x+1)(x+5)}[/tex]

[tex]7x+19=Ax+5A+Bx+B[/tex]

[tex]7x+19=(A+B)x+(5A+B)[/tex]

On comparing both sides, we get

[tex]A+B=7[/tex]      ...(2)

[tex]5A+B=19[/tex]    ...(3)

Subtract (2) from (3), we get

[tex]4A=12[/tex]

[tex]A=3[/tex]

Put A=3 in (1).

[tex]3+B=7[/tex]

[tex]B=4[/tex]

Put A=3 and B=4 in (1).

[tex]\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{3}{x+1}+\dfrac{4}{x+5}[/tex]

Therefore, [tex]\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{3}{x+1}+\dfrac{4}{x+5}[/tex] .


Related Questions

A causal approach should be used when:_____.
1. there exists a knowledge of the research problem, the decision alternatives, and the relevant variables.
2. only speculative hypotheses exist.
3. the research methods can be highly flexible.
4. the researcher must show that one variable determines the values of another variable.
a. 1
b. 2
c. 1 and 4
d. 4

Answers

The correct answer is D. 4

Explanation:

In research, a causal approach is a research method used when the variables the researcher is studying have a cause/effect relationship. This means one of the variables originates the other (cause) or it is the consequence (effect). For example, if the researcher is studying the effects of literacy rate in access to job opportunities, the approach is causal. In this context, to use to approach it is key that the researcher wants to show one variable or factor determines the other through a cause/effect relationship. Thus, this is used when "the researcher must show that one variable determines the values of another variable".

Which is true? Root cause analysis is an important step in the incident management process. Until the root cause of incidents is identified and eliminated, it is likely that the customer will continue to experience incidents. Typically, root causes are technology related. ITIL best practices state that root cause analysis should be performed for all incidents.

Answers

Answer:

1. Root cause analysis is an important step in the incident management process.

2. Until the root cause of incidents is identified and eliminated, it is likely that the customer will continue to experience incidents.

Explanation:

The true and correct statement is that root cause analysis is an important step in the incident management process and until the root cause of incidents is identified and eliminated, it is likely that the customer will continue to experience incidents.

Root cause analysis can be defined as a technical process which is typically used to identify or measure the reason why incidents are occurring and how to device necessary procedures to mitigate and prevent the occurrence of such incidents in the future. Ultimately, if the root cause of an incident isn't identified and properly eliminated, it is very much likely that similar or perhaps the same incident would continue to occur.

Hence, the first solution to solving a problem is identifying and eliminating the root cause.

If the costs for direct materials, direct labor, and factory overhead were $522,200, $82,700, and $45,300, respectively, for 16,000 equivalent units of production, the conversion cost per equivalent unit was $8.00.
A. True
B. False

Answers

Answer:

True

Conversion cost per equivalent unit  = $8 per unit

Explanation:

Conversion cost per equivalent unit = Total conversion cost / Equivalent units

Conversion cost is the sum of the direct labour  cost and the factory overhead cost.

Equivalent units are notional whole units which represent incomplete work and are used to apportion cost between work progress and completed work. These units are determined as follows:

Equivalent units = Degree of work done(%) × units of inventory

Equivalent units are 16,000 already given

The conversion cost = 82,700 + 45,300 = 128,000

conversion cost per equivalent unit =  128,000 /16,000  =$8 per unit

Conversion cost per equivalent unit  = $8 per unit

Bill thought he had received the best deal on his riding mower. Shortly after the purchase, Bill started to notice certain disadvantages of his new riding mower as he learned more about other riding mowers available in the same price range. Bill is in which of the following stages of the buyer decision process?
a. purchase decision
b. need recognition
c. postpurchase behavior
d. information search
e. alternate evaluation

Answers

The correct answer is c. postpurchase behavior
the answer c. postpurchase behavior

Which statements are TRUE? I NASDAQ Global Market stocks have more stringent listing standards II NASDAQ Global Market stocks have less stringent listing standards III NASDAQ Capital Market stocks have more stringent listing standards IV NASDAQ Capital Market stocks have less stringent listing standards

Answers

Answer:

I. NASDAQ Global Market stocks have more stringent listing standards.

IV. NASDAQ Capital Market stocks have less stringent listing standards.

Explanation:

The true statements about the NASDAQ are;

I NASDAQ Global Market stocks have more stringent listing standards.

IV NASDAQ Capital Market stocks have less stringent listing standards.

Danny, a marketing manager for a large multinational company, has been held responsible for the poor management of a crucial project. The company had suffered huge losses because of this project, and Danny has been having a stressful week dealing with his boss and his clients. Danny goes for a movie with his friends to unwind and get his mind off work. Which of the following strategies has Danny used in this scenario?
A. Self-control.
B. Reappraisal.
C. Acceptance of responsibility.
D. Escape-avoidance.

Answers

Answer:

D. Escape-avoidance.

Explanation:

-Self-control is when a person is able to manage his/her emotions and behaviors when facing an impulse.

-Reappraisal is when you evaluate a situation again to make changes and find new meanings.

-Acceptance of responsability is when you take ownership for what you do.

-Escape-avoidance is when you avoid dealing with things.

According to this, the answer is that Danny is using in this scenario escape-avoidance because he is avoiding dealing with the problem he has at work by  going for a movie with his friends.

Effective reading involves what four steps? Select one: a. Preparing, reading, capturing key ideas, and reviewing. b. Preparing, absorbing, capturing, reviewing c. Reading, note-taking, summarizing, reviewing d. Reading, capturing key ideas, summarizing, reviewing

Answers

Answer:

Preparing, reading, capturing key ideas, and reviewing.

Explanation:

Rafi offers a tour of Bay Harbor aboard his sailboat, Sea Siren, to Tiara’s Travel Group for $500. Referring to the prices for similar tours, Tiara’s says, "We’ll pay no more than $400." Rafi’s offer is​

Answers

Answer:

Will be terminated

Explanation:

Given:

Rafi's offers for the tour of Bay Harbor = $500

Tiara’s willing to pay = $400

Argue:

Tiara’s Travel Group is not willing to pay the price that Rafi wants to get, Tiara’s Travel Group wants to bow down the price below that value, so Tiara’s Travel Group will reject Rafi's offer.

The two principal advantages of holding companies are (1) the holding company can control a great deal of assets with limited equity and (2) the dividends received by the parent from the subsidiary are not taxed if the parent holds at least 50% of the subsidiary's stock.
a) true
b) false

Answers

Answer:

a) true

Explanation:

Holding Companies are Companies that have more that 50% in Voting Rights in another company and those rights gives them control over the subsidiary company.

The advantages of entering in such a transaction is to control a great deal of assets with limited equity and to receive dividends income from subsidiary.The dividends are exempt from taxes accounting to the tax legislation.

Brief Exercise 5-13 Bridgeport Company reported 2017 net income of $158,800. During 2017, accounts receivable increased by $18,000 and accounts payable increased by $9,740. Depreciation expense was $47,500. Prepare the cash flows from operating activities section of the statement of cash flows.

Answers

Answer:

The amount of cash flow provided by operating activities is $198,040  

Explanation:

The cash flow from operating activities section of the statement of cash flows begins with net income with adjustments made for non-cash expenses as prepared below:

Net income                                                    $158,800

depreciation                                                   $47,500

increase in accounts receivable                     ($18,000)

increase in accounts payable                          $9,740

Cash generated from operating activities       $198,040  

Jamie is a 47-year-old accountant who has worked for a large software firm for more than 25 years. His performance during this time has been exceptional, and he is highly regarded by his peers. Despite this, he is notified that he is being laid off as the management wants to replace him with a younger employee. In this scenario, the management of Jamie's firm is violating _____.

Answers

Answer:

Title VII of the Civil Rights Act of 1964.

Explanation:

Jamie's firm in the given scenario is violating 'Title VII of the Civil Rights Act of 1964.' According to this law, any organization is prohibited to discriminate against its employees on the basis of age, race, religion, etc. The employer can not recruit someone favorably and treat an employee differently. Since his organization is intentionally discriminating against him despite his exceptional performance and contribution to the progress of the firm, thus, it is violating the title vii of the Civil rights act.

Viral marketing is:
a) an online form of notification of a potential computer virus or problem.
b) a function that evaluates public attitudes and executes a program of action and information to earn public understanding.
c) a term used to describe promotional efforts such as paying people to say positive things about your product online.
d) a system in which consumers can access company information on their own and supply information about themselves in an ongoing dialogue.

Answers

Answer:

a) an online from of notification of a potential computer virus or problem.

Smitty Museum purchased the copyright to a piece of artwork for $897,000. Smitty plans to reproduce 1.8 million posters of the artwork over a period of 12 years. Calculate the amortization for the year assuming the Museum plans to reproduce and sell 125,000 posters the first year.

Answers

Answer:

Annual amortization= $62,291.67

Explanation:

Giving the following information:

Purchase price= $897,000

Smitty plans to reproduce 1.8 million posters of the artwork for 12 years.

To calculate the amortization, we need to use the following formula:

Annual amortization= (original cost/total estimated production)*production for the year

Annual amortization= (897,000/1,800,000)*125,000

Annual amortization= $62,291.67

Jerry, the manager at Cayman's Inc., strongly believes that his subordinates prefer to be directed, avoid responsibility, and frequently need coercion to work toward company goals. Jerry is clearly a _____ manager.

Answers

Answer:

Theory X

Explanation:

Theory X is one of the types of management. In this type of management, the managers presume that the employees are not motivated towards their work. They step out with methods like remuneration and increments to motivate the employees. These additional benefits are provided to them when the employees show great responses in tangible forms. The managers hold the thought that the employees need to be controlled and threatened to bring the maximum output of them. They also assume that the employees need constant supervision at every stage of their work.

In the given excerpt, it is evident from the steps taken by Jerry that he is a Theory X manager.

"XYZZ ADR represents 10% of the value of an XYZZ ordinary share. The ordinary shares trade on the London Stock Exchange, where the current price is 400 British Pounds (BP). The current exchange rate for the British Pound against the U.S. Dollar is $1.40. The ordinary share pays an annualized dividend of 12 BP, with payment made semi-annually. The XYZZ ADR is listed on the NYSE. If a customer places an order to buy $560,000 of the ADR on the NYSE, how much will the customer receive in each dividend payment?"

Answers

Answer:

$8,400

Explanation:

XYZZ ADR = 10% XYZZ ordinary share

Current price of ordinary shares trade = 400 British pounds

Pounds rate against the dollar = $1.40

Annualized Dividend pay = 12 pounds paid semianually

Dividend to be received on the purchase of $560,000 worth of ADR

Therefore ;

To calculate worth of XYZZ ADR

Dollar value of £400

400 * 1.4 = $560

10% of $560 = 10* 560 = $56 per ADR

Therefore, semiannual Dividend payed :

£12 / 2 = £6 every 6 months ; which is equivalent to (£6 * 10%) = £0.6 per ADR

Equivalent dollar value :

0.6 * $1.4 = $0.84 per ADR

AMOUNT OF ORDER TO BE PLACED / price per ADR

$560,000 / $56 = 10,000 shares

Dollar value of Dividend payed per share = $0.84

Dividend customer will receive :

10,000 * $0.84 = $8,400

Taki works for a start-up company that is highly centralized and its employees are not allowed to wear headphones while working. However, the company offers a flexible work schedule, free childcare, and free yoga classes. These rules and perks describe the company's ______.

Answers

Answer:

organizational culture

Explanation:

Organizational culture can be defined as the beliefs and culture of an organization that helps in the establishment of the structure and strategy to run the organization. These cultural beliefs and ideas help the employees understand and work according to the desired thoughts of the organization. They know the ways to deal and behave in accordance with the organizational values.

In the given excerpt, the rules and regulations that Taki's start-up company has, are said to be the organizational culture of the company. The flexible work schedule, free childcare, and free yoga classes are some of the rules and regulations.

A nonaffiliated owns 3% of an issuer's common stock. This person will be considered a control person if a spouse owns A) 8% of the issuer's common stock. B) any shares of the issuer's common stock. C) 5% of the issuer's common stock. D) 2% of the issuer's common stock.

Answers

Answer:

Option A. 8% of the issuer's common stock

Explanation:

If the accumulated ordinary share holding by the immediate family members is 10% or more than 10% then all the immediate family members who own ordinary shares of this company are considered control persons. This is because they can influence the decision making of the company and thus these personels are often termed as control person as they have some control of the company.

Kirkaid Company recorded the following transactions for the just completed month: a. $84,000 in raw materials were requisitioned for use in production. Of this amount, $72,000 was for direct materials and the remainder was for indirect materials. b. Total labor wages of $108,000 were incurred. Of this amount, $105,000 was for direct labor and the remainder was for indirect labor. c. Additional actual manufacturing overhead costs of $197,000 were incurred. d. A total of $218,000 in manufacturing overhead was applied to jobs.

Answers

Answer:

$6,000 underapplied  

Explanation:

The computation of the amount overapplied or under applied is shown below:-

Amount applied = Applied manufacturing overhead - (Indirect materials + Indirect labor + other OH costs incurred )

= $218,000 - {($84,000 - $72,000) + ($108,000 - $105,000) + $197,000  }

= $218,000  $12,000 + $3,000 + $197,000  

= $218,000 - $212,000

= $6,000

Therefore for computing the amount under applied we simply applied the above formula.

Herb Kelleher, founder and long-time chief executive officer of Southwest Airlines, was known for inspiring and motivating his employees. He related well to people within and outside the Southwest Airlines organization. Herb Kelleher had good ____ skills.

Answers

Answer:

Interpersonal Skills

Explanation:

Interpersonal skill is the skill that connects one person with other due to the employee's behavior which helps him to get along with others. In other words, when we talk about interpersonal skills we are actually talking about the excellent way of interacting with people that results in better relation, respect, better job environment, motivation of employees, etc.

In this case, Herb Kelleher, the CEO has better relations with his company employees as he interact with the people well which is interpersonal skills.

Kevin is maximizing his utility consumption of almond butter sandwiches and sushi. There is a boom in fish in the summer and the price of sushi suddenly drops. What will the price change most likely change in Kevin's consumption behavior? Group of answer choices Kevin will stick to his original indifference curve to a point intersecting the new budget constraint. Kevin's budget constraint and indifference curves will not change since the price of sushi has not changed Kevin will change his new budget constraint to be tangent to the original indifference curve at some point. Kevin will increase consumption with the bundle of goods at a new higher indifference curve tangent to the new budget constraint.

Answers

Answer:

Kevin will increase consumption with the bundle of goods at a new higher indifference curve tangent to the new budget constraint.

Explanation:

Kevin's consumption possibilities frontier basically shows the budget constraint that Kevin faces when deciding what to purchase. It also represents the opportunity cost of consuming one product instead of another.

If the price of one of the products changes, then the whole consumption possibilities change and a new bundle of goods will be available.

E.g. Kevin had $10, sushi costs $5 and sandwiches cost $5. He can either buy 1 sushi and 1 sandwich, 2 sushis or 2 sandwiches. If the price of sushi decreases to $2.50, then Kevin's options increase. He can now purchase 2 sushis and 1 sandwich, 2 sandwiches or up to 4 sushis.

At midyear, Barbara, the manager of a store, realizes that the new outlet mall with 300 stores down the street is taking much of the sales away from her store, so she will need to revise the sales goals of her sales associates. Barbara is in what stage of the MBO process

Answers

Answer: Stage four

Explanation:

MBO Stage four which is the performance evaluation stage. By reavluating the sales goals of her associates Barbra is in the performance evaluation stage of MBO better known as stage four. The performance evaluation review is usually carried out by the participating manager in this case which happens to be Barbra, it is used to check for performance related informations.

Kate also wishes to pay dividends on both her common shares and the preferred stock. She is a little confused between cash and stock dividends. Explain the difference between a cash dividend and a stock dividend. Since Kate is the only stock-holder of the common stock, what would be the effect of issuing a 10 percent stock dividend

Answers

Find the answers in the explanation below

Explanation:

Cash dividend: Cash dividend is dividend that is paid in cash to shareholders in the event that the company or firm does not need the money for any kind of operation. This means that the company is giving economic value to its shareholders. This transfer of economic value to shareholder means that the shares price of the company will drop. An example is a company having a share dividend of 5%. That means that the price of the company shares will fall by 5%.

Stock dividend: Stock dividend unlike cash dividend is increase stock dividend as well as help stockholders to avoid tax. This subsequently does not increase the value of the company. For example, if stock dividend of a company is 5% and as much as 1 million shares, when stock dividends are declared the stockholder gets extra of 50,000 shares. The stock holder can either keep the shares or sell it to create his own

Cheers

An investor holds a 6% callable bond purchased at 105. If the issuer calls the bond before maturity, the yield to call (YTC) realized by the investor would be A) equal to the yield to maturity (YTM). B) less than the coupon. C) greater than the yield to maturity (YTM). D) greater the current yield (CY).

Answers

Answer: less than the coupon

Explanation:

When a bond that is bought at a premium of 205 is called before the bond matures by the issuer, this implies that the accelerated premium loss will have to be reflected in calculated yield to maturity.

It should also be noted that the YTC is the lowest among the yields for the premium bonds. Therefore, if the issuer calls the bond before maturity, the yield to call (YTC) realized by the investor would be less than the coupon.

Option B is correct.

A firm has annual sales of $350,045, with a profit margin of 4.5 percent. There are 14,000 shares of stock outstanding with a current price of $45 per share. What is the price-sales ratio?

Answers

Answer:

Price -sales ratio = 2.01

Explanation:

Given that:

Annual sales for a firm = $350045

Profit Margin = 4.5% = 0.045

Outstanding stock = 14000 shares

Current price of stock = $45 per share

The objective is to determine the price - sales ratio.

In order to determine that ; we have:

The net profit = Profit Margin × Annual Sales

The net profit = 0.045 × $350045

The net profit = $15752.025

Earnings Per Share =Net income/shares

Earnings Per Share = $ 15752.025/14000 shares

Earnings Per Share =  $ 1.125 per  shares

The price earning ratio  = Price/Earnings Per Share

Price = The price earning ratio × Earnings Per Share

Price = 45 ×  1.125

Price = $50.625

Sales per share = Sales/ Share

Sales per share =  350,045/14000

Sales per share = $25.00

Finally; the price-sales ratio is:

Price -sales ratio= Price/Sales per share

Price -sales ratio= 50.25/25.00

Price -sales ratio = 2.01

A financial statement is a(n): Group of answer choices A. estimate of a firm's future income and expenses B. hybrid statement of cash flows C. itemized forecast of a company's income, expenses, and capital needs D. written report that quantitatively describes a firm's financial health

Answers

Answer:

D. written report that quantitatively describes a firm's financial health

Explanation:

A  financial statement is a written report that quantitatively describes a firm's financial health.

Generally, the financial statements are the formally written records of the business and financial activities of a business entity or organization.

There are four (4) main types of financial statements and these are;

1. Balance sheet: it contains financial information about assets, liability, and equity.

2. Cash flow statement: it contains financial information about operating, financial and investing activities.

3. Income statement: it contains financial information about the income and expenses of an organization.

4. Statement of changes in equity: it contains financial information about profits or loss, dividends, etc.

Austin's total fixed cost at the bakery is $3,600 a month. Austin employs 20 workers and pays each worker $8 an hour. The marginal product of the twentieth worker is 12 iced cupcakes an hour. What is the marginal cost of the last cupcake produced by the last worker Austin hired?

Answers

Answer:

$0.66

Explanation:

Marginal cost is the cost of producing one extra unit of a product.

if each worker is paid $8, then the marginal cost of producing the last cupcake = $8 / 12 = $0.66

In the aircraft manufacturing industry, at least for large commercial jets, Boeing and Airbus are the only competitors. There is not a significant threat of entry because:_______.
A) there is expected to be a huge return on investment within this industry
B) entering the aircraft manufacturing industry means violating government policies
C) there is no credible threat of retaliation from the incumbents.
D) entering the aircraft manufacturing industry requires huge capital investments

Answers

Answer:

D) entering the aircraft manufacturing industry requires huge capital investments

Explanation:

According to the given situation, Boeing and Airbus are the only rivals in the aircraft production business, at least for the big commercial jets.

There is no big entry hazard, as it requires the big amount of capital for entering into the aircraft manufacturing industry.

Therefore from the above explanation, it is clear that the correct answer is d.

Suppose that a firm operating in perfectly competitive market sells 300 units of output at a price of $3 each. Which of the following statements is correct? (i) Marginal revenue equals $3. (ii) Average revenue equals $3. (iii) Total revenue equals $900. a. (i) only b. (iii) only c. (i) and (ii) only d. (i), (ii), and (iii)

Answers

Answer:

d. (i), (ii), and (iii)

Explanation:

A perfect competition is characterised by many buyers and sellers of homogeneous goods and services. Market prices are set by the forces of demand and supply. There are no barriers to entry or exit of firms into the industry.

Price = marginal revenue = average price

total revenue = price x quantity = $3 x 300 = $900

Unit of account is the function of money: that provides a common measurement of the relative value of goods and services. that shows the acceptability of money in exchange for goods and services. that shows the portability of money. that shows the ability of money to hold value over time.

Answers

Answer:

a common measurement of the relative value of goods and services.

Explanation:

Money has three functions. they are :

1. Medium of exchange : this shows the acceptability of money in exchange for goods and services.

2. Store of value : that shows the ability of money to hold value over time.

3. Unit of account : a common measurement of the relative value of goods and services. money serves a means by which one can measure the value of goods and services. for example, if we are told the price of a shoe is $1,000 and the price of another shoe is $50. We know that the $1,000 is relatively more valuable when compared to the $50 shoes.

when managers focus on distinguishing the organizations products from those of competitors on one or more important dimessions such as quality or after sales service and support, this is considered a ___ startegy

Answers

Answer:

Differentiation strategy, is the right answer.

Explanation:

In Bussiness studies, a differentiation strategy is a method of developing the business by providing the customers with something different or unique from the items offered by their competitors in the marketplace. The increase in the competitive advantage is the main objective behind implementing a differentiation strategy. By analyzing its strengths, weaknesses, the needs of customers and the prices they can provide, a business can accomplish this.

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