A bond is issued with a coupon of 6%, paid annually, a miturity of 38 yesrs; and a yield to maturity of 9%. What rate of retum will be earned by an investor who purchases the bond for $679.28 and holds it for 1 year if the bond's yieid to maturity at the end of the year is 1 the? Note: Do not round intermediate calculations. Enter your answer as a pereent rounded to 2 decimal places. Negative amount should be indicated by a minus sign.
Rate of Return_______

Answers

Answer 1

The rate of return earned by the investor who purchases the bond for $679.28 and holds it for 1 year, with a yield to maturity of 1% at the end of the year, is approximately 12.77%.

To calculate the rate of return, we need to consider the coupon payment, the change in bond price, and the holding period.

The coupon payment for the bond is 6% of the face value, which is $100 (6% x $100 = $6). Since the bond is held for 1 year, the investor receives the coupon payment of $6.

Next, let's calculate the change in bond price. The bond was purchased for $679.28 and has a yield to maturity of 9%.

At the end of the year, the yield to maturity drops to 1%. To calculate the change in bond price, we subtract the purchase price from the expected selling price.

The selling price can be calculated as follows:

Face Value = $100 (given)

Coupon Rate = 6% (given)

Yield to Maturity = 1% (given)

Maturity = 38 years (given)

Using the formula for present value of a bond, we can calculate the present value of the bond at the end of the year:

\(Present Value = (Coupon Payment / (1 + YTM)) + (Coupon Payment / (1 + YTM)^2) + ... + (Coupon Payment + Face Value) / (1 + YTM)^{38}\)

Calculating the present value of the bond yields $759.92.

The change in bond price is then calculated as: Selling Price - Purchase Price = $759.92 - $679.28 = $80.64.

Finally, we can calculate the rate of return using the formula: Rate of Return = (Coupon Payment + Change in Bond Price) / Bond Purchase Price.

Plugging in the values, we get: Rate of Return = ($6 + $80.64) / $679.28 = $86.64 / $679.28 = 0.1277.

To convert the rate of return to a percentage, we multiply by 100: 0.1277 x 100 = 12.77%.

Therefore, the rate of return is approximately 12.77%.

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Related Questions

Sharon joined a team that was responsible for boosting sales on last year's electronic models. The team began in January and was scheduled to run until May, meeting once a week. The team consisted of four women all with marketing and sales background. When the group first met, they learned they had much in common, outside of work. Now, the majority of time each meeting was spent talking about spouses, children shopping, and hobbies. At the first meeting in March, one of the four said, "You know, we have to have a presentation ready in less than two month. That seems to set everyone in motion. The group quickly divided responsibilities and set to work. The presentation was a success. This scenario describes
A. punctuated equilibrium
B. parallel teams
C. the storming stage of team development
D. sequential interdependence
E. similarity attraction approach

Answers

Answer:

A. Punctuated equilibrium

Reason:

Definition is a sequence of team development during which not much gets done until the halfway point of a project, after which teams make necessary changes to complete the project on time.

          According to the punctuated-equilibrium model of group evolution, groups frequently advance during short bursts of change following lengthy periods without change.

Answer : A .Punctuated equilibrium is how Sharon and her team's condition is described.

Punctuated equilibrium - what is it?

        The team initially doesn't appear to make much progress while in   punctuated equilibrium. The crew starts to work to make things happen and speed up their efforts as they get closer to their deadline.

      In fact, Sharon's team experienced exactly that. The ladies initially showed a greater interest in exchanging personal experiences and anecdotes. However, they discovered their deadline was approaching about halfway through, so they started to work to finish the project.

For this question, the unanswered choices are:

punctuated equilibriumparallel teamsthe storming stage of team developmentsequential interdependencesimilarity attraction approach

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On january 1, you sold short one round lot (that is, 100 shares) of lowe's stock at $21 per share. on march 1, a dividend of $2 per share was paid. on april 1, you covered the short sale by buying the stock at a price of $15 per share. you paid 50 cents per share in commissions for each transaction.

a. what is the value of the account on April 1st?

Answers

Answer:

Value of the account on April 1st = $300

Explanation:

Given:

Number of shares = 100

Buy back price = $15

Dividend per share = $2

Commission per share = $0.50

Price of each share = $21

Computation:

Proceed price = (21x100)-(0.50x100)

Proceed price = $2,050

Dividend = 2x100

Dividend = $200

Buy back price = (15x100)+(0.50x100)

Buy back price = $1,550

Value of the account on April 1st = $2050 - $200 - $1550

Value of the account on April 1st = $300

Why very few subsistence economies exist today

Answers

Answer:

As previously mentioned,

subsistence markets are

extremely vulnerable to

external influences.

Because of this

vulnerability, these economies are

becoming more scarce around the

world. In the past, for example, large

populations of indigenous peoples lived

throughout North America.

What was the opening price of Dow Jones Industrial Average on Jul 09, 2018 in the format of XXXXX.XX?

Answers

Answer:

According to yahoo finance, the opening price of the Dow Jones Industrial Average on Jul 09, 2018, is 24519.20.

Explanation:

Dow Jones Industrial Average is a stock indicator of the top 30 companies of the US. Other indicators include NASDAQ Composite and S&P 500.

These indicators are used to assess the performance of the market on a subsequent day. From the historical data from the Yahoo Finance, the value for any day could be found which for July 09, 2018 is 24519.20.

1. Should a cover letter be a lengthy document?

2. What should be the “tone” of an informal thank you letter?

Answers

1. It actually depends; but usually it's like a three paragraph essay

2. The tone of an informal thank you letter is something like saying 'thank you so much' and a compliment sentence, like 'You are the best!'

Hope this helps! Have a great day!

FILL THE BLANK. according to the principle of _____, a country that decides to specialize in the production of a particular product must sacrifice the production of another product.

Answers

According to the principle of comparative advantage, a country that decides to specialize in the production of a particular product must sacrifice the production of another product.

The principle of comparative advantage is an economic concept that suggests countries should specialize in producing goods or services in which they have a lower opportunity cost compared to other countries. Opportunity cost refers to the value of the next best alternative that must be given up in order to produce a particular good or service. When a country specializes in producing a specific product, it can allocate its resources more efficiently, leading to increased productivity and economic growth. However, this specialization comes at the cost of sacrificing the production of other goods or services for which the country may have had some comparative advantage but chooses not to pursue.

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Most organizations use four types of resources: material, human, financial, and informational.a. trueb. False

Answers

The given statement "Most organizations use four types of resources: material, human, financial, and informational"a. True

1. Material resources refer to tangible assets such as equipment, facilities, raw materials, and inventory. These resources are essential for an organization to produce goods or services and operate effectively.

2. Human resources encompass the employees and their skills, expertise, and knowledge. The success of an organization largely depends on the efficiency and productivity of its workforce. Proper recruitment, training, and employee management are crucial to optimizing human resources.

3. Financial resources are the funds available to an organization, including capital, cash flow, and revenue. These resources are necessary to cover expenses, invest in growth, and manage financial risks. Efficient financial management ensures the organization's long-term stability and profitability.

4. Informational resources consist of data and information that an organization needs to make informed decisions and effectively manage its operations. This may include market research, customer data, and performance metrics. Access to accurate and timely information is crucial for making strategic decisions and improving processes.

In conclusion, organizations rely on these four types of resources to achieve their objectives and thrive in a competitive market. Proper management and utilization of material, human, financial, and informational resources are key factors that contribute to an organization's success.

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Select all that apply Capital budgeting decisions include ______. Multiple select question. acquiring a new facility to increase capacity deciding to replace old equipment purchasing new equipment to reduce cost increasing the salary of the current company president determining which equipment to purchase among available alternatives hiring new factory workers choosing to lease or buy new equipment

Answers

The statements i.e. considered for capital budgeting decisions are as follows:

Purchasing a new facility for raising the capacity of the company.To decide on replacing old equipment of the organization.Acquisition of new equipment for decreasing the cost.Measures which equipment should be purchased among available alternatives.Select to lease or purchase new equipment.

The information related to the capital budgeting decisions are as follows:

It is a both financial commitment & an investment.Invested in the long-term direction that has an impact on the upcoming projects which the company considered. Lower cost and profit more.Increase in the capacity of the organization.

Therefore we can conclude that the above statements should be considered.

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Insurance is a risk management technique involving Risk transfer
Select one: True False

Answers

True. Insurance is indeed a risk management technique that involves risk transfer.

When individuals or organizations purchase insurance policies, they transfer the potential financial burden of certain risks to an insurance company. In exchange for regular premium payments, the insurance company agrees to provide compensation or coverage in the event of specified losses or damages.

This risk transfer mechanism helps individuals and businesses mitigate the financial impact of unexpected events and provides a level of protection against potential risks.

Insurance is widely used in various areas, including health insurance, auto insurance, property insurance, and liability insurance. It allows individuals and businesses to manage and mitigate risks by transferring them to an insurance company.

This risk transfer mechanism helps provide peace of mind and financial security, as individuals and organizations are protected from significant financial losses resulting from covered events or circumstances.

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once a drug is on the market, what is the lowest price the drug manufacturer can set while still ensuring it can make a profit?

Answers

Answer:

1000

Explanation:

Which of the following is an example of an informational business message?
A. a letter requesting a well-regarded personality to speak at a seminar
B.
a proposal that gives buyers reasons to purchase a product
O C.
a report with details about a company's marketing strategy
D.
a memo that urges employees to follow professional etiquette

Answers

B proposal that gives buyers reasons to purchase a product

please please.pleas help me

What are the advantages and disadvantages of consulting

NO LINKS!!!​

Answers

Answer:

Advantages of Being a Consultant:

You can learn many skills

Consulting allows you to build a powerful network

You get responsible tasks from the beginning

Perfect if you like to travel

You learn to work with the latest technologies

You can work in project teams

Consulting allows you to see many new things

You can work with many clients

Continuous training

You can work with other motivated people in consulting

Consulting teams support each other

You work on demanding projects

Good for your CV

You learn how to deal with stress

Consultants can earn pretty good money

Great exit options

You can work on many projects

Consulting never gets boring

Explanation:

Disadvantages of Being a Consultant:

Pressure in consulting can be high

Strict deadlines are a problem

You will be pushed to your boundaries

Consulting can imply working long hours

You may be away from home during the week

Being a consultant can be lonely

Some people develop mental issues

No real work-life balance

Problematic in case you have children

You have to represent the company

Many of your colleagues will leave

Insecurity regarding what comes next

Great swings in workload

Unsatisfying outcomes

Success greatly depends on the project manager

To some people, speaking in public is not a stressor.

A. True B. False

Answers

Answer:

A. true

Explanation:

because of their experiences

Answer:

A. true

Explanation:

if a company strictly defines its processes based on unchanging roles, what type of structure does it have?

Answers

If a company strictly defines its processes based on unchanging roles, it is likely using a hierarchical or bureaucratic organizational structure.

In this type of structure, there is a clear chain of command and a fixed division of labor, with each employee assigned to a specific role with company defined responsibilities and tasks. Decision-making typically flows from the top of the hierarchy down to lower levels, with strict rules and procedures to ensure consistency and standardization.

This type of structure is often used in large, complex organizations where there is a need for a high degree of control, coordination, and predictability. However, it can also be rigid and inflexible, making it difficult to adapt to changing market conditions or respond to new opportunities. It may also lead to silos and limited communication and collaboration across departments or functions. As a result, some companies may choose to adopt more flexible or decentralized structures to promote innovation, agility, and responsiveness.

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Which is the highest need of a human as perceived by Maslow’s hierarchy of needs?
A. belongingness
B. self-actualization
C. safety
D. basic needs

Answers

i think it’s self-actualization

According to Maslow's hierarchy of needs, the highest need of a human is self-actualization.

Self-actualization is the need to reach one's full potential and to become the best version of oneself. It is the need to be creative, to understand oneself, and to understand the world around us. It is the need for self-fulfillment and self-expression.

Self-actualization is the highest level of Maslow's hierarchy of needs because it is only when all the lower-level needs, such as basic needs, safety, belongingness, and esteem, have been met that an individual can truly focus on self-actualization. Without these lower-level needs being met, an individual will not have the resources or emotional stability to focus on self-actualization.

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At which point in the accounting cycle should an accountant prepare a trial
balance?
A. Just before preparing financial statements
OB. At any point he or she chooses
OC. At the end of the cycle only
D. At the beginning of the cycle only

Answers

At the end of the cycle only in the accounting cycle should an accountant prepare a trial balance. The correct option is C.

Why do accountants prepare a trial balance?

A trial balance's purpose is to ensure that all entries made to an organization's general ledger are properly balanced. Each general ledger account's ending balance is listed in a trial balance. Each accounting entry's total dollar amount of debits and credits is supposed to match.

The trial balance is created after all transactions in the ledger accounts have been recorded. All ledger account balances to the credit and debit sides are recorded in the trial balance. It is typically prepared at the end of the fiscal year, prior to the preparation of final accounts.

Thus, the ideal selection is option C.

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Which sequence of HACCP principles is in the correct order?


A.


Establish critical limits for each CCP, conduct a hazard analysis, and establish corrective actions.


B.


Conduct a hazard analysis, identify CCPs, and establish critical limits for each CCP.


C.


Establish record-keeping procedures, establish corrective actions, and establish CCP monitoring requirements.


D.


Establish CCP monitoring requirements, conduct a hazard analysis, and identify CCPs.


E.


Conduct a hazard analysis, identify CCPs, and establish CCP monitoring requirements.

Answers

Answer:

B

Explanation:

Hazard analysis of critical control point (HACCP) is a process of identifying and assessing risks alongside the biological , physical and chemical hazards associated with food production .

The sequence of the first three of the seven principles are

1. Conduct hazard analysis to determine potential risks related to food protection

2. Identify the critical control point (CCP) which addresses controlling identified hazards that are mostly likely to cause injury to health

3. Establishing critical limits for each CCP , which is the highest or lowest level a biological ,physical or chemical parameter must be controlled to prevent or minimize hazards.

Answer:

B. Conduct a hazard analysis, identify CCPs, and establish critical limits for each CCP

Explanation:

who is better Nba Youngboy or Kodak Black

Answers

Answer:

if i had to chose kodak

but young dolph and key glock gucci mane and project pat go hard

nba is dog water

Explanation:

I would choose Kodak really

Economically left behind in the region is __________, which has isolated itself behind an authoritarian dictatorship since world war ii.

Answers

Economically left behind in the region is North Korea, which has isolated itself behind an authoritarian dictatorship since world war ii.

The country that has been economically left behind in the region and isolated itself behind an authoritarian dictatorship since World War II is North Korea.

Despite its geographical location in East Asia, North Korea has faced economic stagnation and isolation due to its political regime. The country's totalitarian government, led by the Kim dynasty, has imposed strict controls on its economy and limited international trade and foreign investments.

This has resulted in a lack of economic development and a decline in living standards for its citizens. North Korea's self-imposed isolation has also led to international sanctions, further exacerbating its economic challenges.

With limited access to global markets and resources, North Korea remains economically disadvantaged compared to its neighboring countries in the region.

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a large manufacturing company would like to provide real-time feedback to machine operators regarding optimum machine speeds enabling less experienced operators to detect breaks earlier and maintain quality. which service will allow the company to train and deploy a machine learning model that can detect machine issues early?.

Answers

To train and deploy a machine learning model that can detect machine issues early, the manufacturing company could utilize a cloud-based machine learning service such as Amazon SageMaker.

This service allows for the creation, training, and deployment of machine learning models, including those for predictive maintenance.
By using real-time data from sensors on the machines, the company can train the machine learning model to identify patterns that indicate potential issues or breakdowns. The model can then provide feedback to machine operators in real-time, suggesting adjustments to machine speeds or alerting them to potential issues.
Less experienced operators can benefit from this service as it provides them with instant feedback and guidance, enabling them to detect issues earlier and maintain quality standards. By continuously training and updating the machine learning model, the company can further improve its predictive maintenance capabilities and minimize downtime and maintenance costs.
Overall, utilizing a cloud-based machine learning service such as Amazon SageMaker can help the company to improve its operations, optimize machine performance, and increase efficiency.

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How does industrial education affect industries?​

Answers

Answer:

Industrial education will help student to know and understand industry demand. ... First, adaptability is a skill will help students to know and understand industry work and world, such as how to use technology, follow all industry SOP, all new chalanges industry, etc. Second, communication is an important skills to had.

The person before me already gave an answer so what’s the point if I do it

PLS help!!!!! Will Give BRAINLIEST!! thanks :):)

In a biometrics research lab, Grant is listed as the laboratory director, while Tamara is listed as a laboratory technician. Both careers fall into the STEM field. Take a moment to research these two positions and explain the difference between them

Answers

Answer:

The Tamara Foundation has partnered with Stronger Philanthropy to manage the grant application process. Stronger Philanthropy will interview charities to determine their funding priorities, present Charity Profiles to the Tamara Foundation that are aligned with our mission and mandate for shortlisting, contact charities being invited to submit an application for consideration, and manage new grant applications and follow-up reports.

Explanation:

hope it helps

answerd by Hami Radcliffe

Which of the following best completes the table?

Table listing kinds of trade barriers with examples of each. Regulation, clothing made using child labor. Tariff, foreign steel. Embargo, diamonds from Zimabawe.

What is an example of local content requirement?

Customs duties paid on cloth made in India

Imported apples exceeding a percentage of domestic production

Inexpensive sugar grown in the Caribbean

Oil from a Middle Eastern country that is considered hostile

Answers

Answer:

1. The best that completes the table is:

Oil from a Middle Eastern country that is considered hostile.

2. An example of local content requirement is:

Imported apples exceeding a percentage of domestic production.

Explanation:

Many countries of the world impose free-trade restrictions.  For example, tariffs raise the prices of imported goods relative to domestic goods (good produced at home), thereby making imports more expensive.  Some governments provide subsidies to their domestic industries, thereby making the domestic goods cheaper than their foreign counterpart and discouraging free trade. Local content requirements are another means to restrict free trade.  These requirements demand that part of the production process for imported goods be completed domestically.

Answer:

C. inexpensive sugar grown in the Caribbean

Explanation:

just took the quiz

if i get 16 brainlest ill give u guys 136 points

Answers

Answer:

you get brainlyist by answering questions. not making them

Answer:

ill give u brainlest tete

Explanation:

Kaylin works in the Manufacturing career cluster. The daily tasks of her career involve looking at ways that her company is at risk for causing problems to the health of its workers. She also analyzes those problems and comes up with solutions to implement.



What job does Kaylin most likely have?

Occupational Health and Safety Specialist
Environmental Science and Protection Technician
Quality Control Analyst
Product Safety Engineer

Answers

Answer:

A-Occupational Health and Safety Specialist

Explanation:

Occupational Health and Safety Specialist. Hence, option A is appropriate.

What is the meaning of Health?

A state of complete physical, mental, and social well-being is referred to as health. A balanced diet and consistent exercise are necessary for a healthy life cycle. Additionally, one needs to maintain appropriate hygienic practices, live in a decent shelter, and get adequate sleep.

Your lifestyle should include a commitment to good health. A healthy lifestyle can aid in the prevention of chronic diseases and debilitating conditions. Your self-esteem as well as self-image depend on how you feel about yourself and how well you take care of your physical and mental well-being. Living a healthy lifestyle means taking care of your body.

Personal health is divided into five categories: physical, emotional, social, spiritual, and intellectual.

The WHO Constitution defines "health" as "a condition of complete physical, mental, and social well-being and not only the absence of disease or disability." Balanced health is based on five pillars: activity, diet, sleep, stress reduction, and social interaction. While we can borrow from or swap out part of the balance in one area for another, when we take too much of too many of these fundamentals, our general health begins to deteriorate.

Hence, option A is correct.

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Match the action needed to increase profits with the reason a business might fail.
Setting a realistic budget for the company to follow would match with________.

A) bad location

B) poor management

C) Competition

D) finances

Answers

D) finances
Thats how they make money without over pricing items

Answer:

D

Explanation:

finances

Which of the following advantages is gained by a firm that has a multiple sourcing strategy? O A. risk is spread O B. a stronger relationship is built between the companies O c. per unit costs are usually lower OD. per-unit transportation costs are usually lower

Answers

The advantage gained by a firm that has a multiple sourcing strategy is that risk is spread. Option A is the correct answer.

Multiple sourcing is a procurement strategy where a company uses more than one supplier to purchase the same or similar products or services. This approach spreads the risk of supply chain disruptions across multiple suppliers, rather than relying on a single source of supply. By diversifying its supplier base, a firm can mitigate the impact of unforeseen events such as natural disasters, labor strikes, or material shortages that could disrupt the supply of goods or services.

In addition to risk mitigation, multiple sourcing can also provide other benefits to a firm, such as increased negotiating power with suppliers, access to a wider range of products and services, and the ability to take advantage of price differentials between suppliers.

However, multiple sourcing can also come with its own set of challenges, such as increased complexity in supply chain management and increased coordination costs. Therefore, firms must carefully evaluate the benefits and costs of multiple sourcing before adopting this procurement strategy.

In summary, the main advantage gained by a firm that has a multiple sourcing strategy is that risk is spread, reducing the impact of supply chain disruptions.

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I will mark brainliest.


Who created the music in Netflix’s Wednesday?

Answers

Answer:

Danny Elfman

Explanation:

It was Danny Elfman
Hope it helped?

Your company manufactures 72 hr. emergency kits and sell them for a low profit margin. You want to expand your customer base to increase your sales volume, but you have a limited budget.

What marketing method would be the best choice?

Answers

When the company would want to increase its sales volume but have a limited budget, the marketing method that would be best to choose is social media.

What is social media marketing?

Social media marketing refers to the use of social media platforms to promote a brand and sell a product or service. If the business comes out with a new item and we plan to promote the launch on social media, that is called social media marketing. If we interact with our customers via comments, that’s social media marketing.

Moreover, if we create engaging content that showcases the brand’s values and story, that is also called social media marketing.

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Sally purchased a Ford Fusion for $25,000 in 2018. Today, Sally sold the car to Darien for

$18,000. How does this affect the CURRENT GDP?

Answers

The sale of a used car between private parties like Sally and Darien does not affect the current GDP (Gross Domestic Product) since GDP only includes the value of final goods and services produced within a country's borders during a given period, typically a year.

GDP does not include the sale of used goods or financial transactions such as the purchase of stocks or bonds.

GDP is a measure of the size and growth of an economy, and it is calculated by adding the value of all goods and services produced within a country during a given period, including consumption, investment, government spending, and net exports. The sale of a used car, in this case, does not contribute to the current GDP since it is not a newly produced good or service.

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what is the magnification of a real image if the image is 10.0 cm from a mirror and the object is 50.0 cm from the mirror Can I have some help, Ill mark you brainliest!! Find the area of the triangle shown 17ft15ft8ft Read this excerpt from The Great Fire.One of the first business structures up and open was William Kerfoot's real estate office. The crudely painted sign on his shack could be seen as a guiding motto for the rest of the fire victims: "All gone but wife, children, and energy."As the days crept by, more and more people shook off their despondency and began to rebuild their homes and businesses. The energy to start all over seemed to be catching.Which theme about heroism does this excerpt reflect?It is heroic to communicate to the masses by putting up a sign.It is heroic to inspire others by being strong in the face of destruction.It is heroic to give your belongings to others who are suffering.It is heroic to inspire others by helping build homes for them. State whether each of the following series converges absolutely, conditionally, or not at all.253. (1-1943 1-1 Find the equation of the line that is perpendicular to the line AB and passes through the point. (0,2) Explain how displacement depends on intial velocity and time which statement best describes ethical behavior in the united states Reduce the proposition using laws. ACTIVITY Need help with this tool? Jump to level 1 Simplify (pvw)A(pv-w) to p 1. Select a law from the right to apply Laws (pvw)A(pv-w) Distributive ()() (bvc) (avbn(avc) av(bAc) Commutative bva avb BAa anb Complement av a - Identity avF Double negation ma gestalt therapists would encourage people to question 47 options: a) express rather than explain, justify, or judge. b) know and follow what they should do or ought to do. c) intellectualize and talk about feelings. d) acknowledge pleasant emotions but try to suppress unpleasantness and pain. What geographical feature separeted Greece from the Persian empire? Let g(x) = 5x^2 -9. . (a) Find the average rate of change from - 2 to 4. (b) Find an equation of the secant line containing (-2, g(-2)) and (4, g(4)). (a) The average rate of change from - 2 to 4 is (Simplify your answer.) Which selection best describes what granger believes to be the major difference between man and the phoenix?. Toys, Trinkets and More requires a minimum rate of return of 12% on its average operating assets. The toy department currently has average operating assets of $300,000 and a net operating income of $42,000. The department's residual income is $ . (Enter your answer as a whole number without decimal places.) Can anyone solve both parts of the question with all steps of the Matlab code along with the description why did those steps.Programming Preamble:Matlab: R=rand(5,7) produces a 5x7 matrix with random entries.Matlab: A produces A transpose. Changes column vectors to row vectors.Matlab: rref(R)produces the reduced row echelon form of the matrix.Matlab: cat(2,A,B) concatenation of A and B (use to produce an augmented matrix).Part 1 - linear independence and subspacesCreate a random 5 7 matrix, and call it R.Use Gaussian elimination (row reduction), to show that rows form a linearly independent set but the columns do not.Screen capture R and any other output you then used and put it in your report and explain, using words, how you used the MATLAB output you produced to determine that the rows are linearly independent and the columns are not.Write out bases for col(R) (that is the space spanned by the columns of R) and row(R) (that is the space spanned by the rows of R) and state the dimensions of these subspaces. Explain how you reached your conclusion based on the reduced form of the matrix.Part 2 - a generalization of the problem of finding the line of intersection of two planes in R 3Let W1 = span S1, W2 = span S2Determine the dimensions of W1 and W2. (note W1 and W2 are both subspaces of R 6 , why?)Find basis vectors for both W1 and W2. This will be a linearly independent set of vectors with the number of vectors equal to the dimension of the subspace. You deposit $500 into a savings account that earns interest annually. The function g(x) = 500(1.06)x can be used to find the amount of money in the savings account, g(x), after x years. What is the range of the function in the context of the problem? [500, ) [0, 500] [0, ) texas laws, such as making the theft of cattle a felony, are examples of ______ How did President Jefferson respond to the interference of American shipping by Britain and France? Which situation represents the expression, 3/5 divided by 1/4? What are all solutions to each equation in the interval from 0 to 2 ?a. 3cos 2 t=-2