Pastina Company sells various types of pasta to grocery chains as private label brands. The company's reporting year-end is December 31. The unadjusted trial balance as of December 31, 2021, appears below.
Account Title Debits Credits
Cash35,500
Accounts receivable43,000
Supplies3,000 Inventory63,000
Notes receivable23,000
Interest receivable0
Prepaid rent2,500
Prepaid insurance9,000
Office equipment92,000
Accumulated depreciation 34,500
Accounts payable 34,000
Salaries payable 0
Notes payable 53,000
Interest payable 0
Deferred sales revenue 3,500
Common stock 81,000
Retained earnings 36,000
Dividends7,000
Sales revenue 161,000
Interest revenue 0
Cost of goods sold85,000
Salaries expense20,400
Rent expense12,500
Depreciation expense0
Interest expense0
Supplies expense2,600
Insurance expense0
Advertising expense4,500
Totals 358,600 358,600 Information necessary to prepare the year-end adjusting entries appears below.1. Depreciation on the office equipment for the year is $10,300.2. Employee salaries are paid twice a month, on the 22nd for salaries earned from the 1st through the 15th, and on the 7th of the following month for salaries earned from the 16th through the end of the month. Salaries earned from December 16 through December 31, 2021, were $900.3. On October 1, 2021, Pastina borrowed $50,600 from a local bank and signed a note. The note requires interest to be paid annually on September 30 at 12%. The principal is due in 10 years.4. On March 1, 2021, the company lent a supplier $20,600 and a note was signed requiring principal and interest at 8% to be paid on February 28, 2022.5. On April 1, 2021, the company paid an insurance company $6,600 for a one-year fire insurance policy. The entire $6,600 was debited to prepaid insurance.6. $560 of supplies remained on hand at December 31, 2021.7. A customer paid Pastina $2,300 in December for 900 pounds of spaghetti to be delivered in January 2022. Pastina credited deferred sales revenue.8. On December 1, 2021, $1,200 rent was paid to the owner of the building. The payment represented rent for December 2021 and January 2022 at $600 per month. The entire amount was debited to prepaid rent.Prepare closing entries.

Answers

Answer 1

The  necessary December 31, 2021, adjusting journal entries are: Debit Depreciation expenses $10,300, Credit Accumulated depreciation $10,300.

Journal entries

Pastina Company Adjusting entries

Debit Depreciation expenses $10,300

Credit Accumulated depreciation $10,300

Debit Wages expense $900

Credit Wages payable $900

Debit Interest expense $1,518

($50,600 × 12% × 3/12)

Credit Interest payable  $1,518

Debit Interest receivable $1,373

($20,600 × 8% × 10/12)

Credit Interest revenue

Debit Prepaid insurance $4,125

($6,600 × 15/24)

Credit Insurance expense $4,125

Debit Supplies expense $340

($900 − $560)

Credit Supplies $340

Debit Sales revenue $2,300

Credit Unearned revenue $2,300

Debit Rent expense $600

Credit Prepaid rent $600

Therefore the necessary December 31, 2021, adjusting journal entries are: Debit Depreciation expenses $10,300, Credit Accumulated depreciation $10,300.

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Related Questions

Last year, Jane spent all of her income to purchase 200 units of corn at $5 per unit. This year, she spent all of her income to purchase 180 units of corn at $6 per unit. a. Jane's nominal income and real income increased this year. b. Jane's nominal income increased this year, but her real income decreased. c. Jane's nominal income decreased this year, but her real income increased. d. Jane's nominal income and real income decreased this year.

Answers

The correct option is B). Jane's nominal income increased this year, but her real income decreased. The reason the nominal increased this year is because she can buy less than last year.

What is nominal and real income?

Nominal income is that income, which is not adjusted for changes in purchasing power. It is the amount of goods or services that an individual can afford with the income, owing to inflation.

The Real income of an individual or a country is income adjusted for inflation. It is an estimation of an individual's actual purchasing power in the open market after accounting for inflation.

Real income sometimes also called real wage when referring to an individual's income.

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Selzer inc. sells all of its merchandise on credit. it has a profit margin of 4 percent, days sales outstanding equal to 60 days, receivables of $150,000, total assets of $3 million, and a debt ratio of 0.64. the firm's return on equity (roe) is:

Answers

If Selzer inc. sells all of its merchandise on credit. The firm's return on equity (roe) is: 3.3%.

Return  on equity

First step

0.64= TD / $3,000,000

TD = $1,920,000

Second step

DSO ratio = accounts receivable / (annual sales / 365 days)

60 = $150,000 /(sales/365)

Sales = $912,500

Third step

Total Equity

TE= $3,000,000 - $1,920,000

TE = $1,080,000

Fourth step

Net Income

Profit Margin = NI/Sales

0.04 = NI / $912,500

NI = $36,500

ROE= $36,500 / $1,080,000

ROE= 3.3%

Therefore The firm's return on equity (roe) is: 3.3%.

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The liquidity, income, price-level, and expectations effects help to explain how changes in ________________can affect _______________. a. the money supply; the interest rate b. velocity; the interest rate c. real gdp; the money supply d. the interest rate; the money supply e. velocity; real gdp

Answers

The liquidity, income, price-level, and expectations effects help to explain how changes in velocity can affect the interest rate.

What is the interest rate?

The rate, at which banks and other financial institutions offer the acceptance of deposit from their customers, which are under the control and regulations of the country's central bank, is known as interest rate.

There exists a direct relationship between the interest rate and velocity of the money, which indicates that when the velocity of money in the market increases, the interest rate also increases and vice versa.

Hence, option B holds true and states regarding velocity and interest rate.

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This year you have decided to focus your efforts on marketing to employer group plans. One employer provides you with a list of their retirees and asks you to contact them to explain the characteristics of the plan they have selected. What should you do?.

Answers

The thing that should be done regarding the marketing it it go ahead and call the retirees.

What is marketing?

It should be noted that marketing is the strategies that are put in place in order to increase sales.

In this case, the employer provides you with a list of their retirees and asks you to contact them to explain the characteristics of the plan they have selected. It is important to call them.

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marshall corporation had $220,000 in invested assets, sales of:

Answers

The rate of return on investment for Marshall is 30%.


Rate of return on investment

Using this formula

Rate of return=Income form operation/Assets invested ×100


Let plug in the formula

Rate of return=$66,000/$220,000×100

Rate of return=30%

Therefore the rate of return on investment for Marshall is 30%.

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The Federal Reserve's Open Market Committee has decided that the federal funds rate should be 0.5 percent rather than the current rate of 1.25 percent. The appropriate open market action is to _____ Treasury bills to _____ money _____.

Answers

In this case, the proper open market action is to sell Treasury bills to decrease money supply.

What is an Open Market Action?

An open market action refers to the act of the Federal Reserve Bank to purchase or sell government securities with the aim of contracting or increasing the supply of money in the economy and alter the position of interest rates.

Open market operations are also known as monetary policy tools used to regulate the economy.

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The main elements of market structure are

Answers

Answer:

the number and size of sellers, entry and exit barriers, nature of product, price, selling costs.

Mr. Fitzgerald is selling his home to permanently move into a retirement facility near his daughter in a neighboring state before the annual election period. He has a stand-alone prescription drug plan and has learned it is not available where he is moving. He doesn’t know what he should do. What can you tell him?.

Answers

Answer:b.

Because he is moving outside of the service area, the plan must automatically disenroll him. He will have a special election period to select a new plan.

Explanation:

Despite the fact that he's transferring outdoor of the provider location, the plan should robotically disenroll him. He could have a special election length to pick out a new plan.

What is a stand-alone prescription drug plan?

A PDP is often known as a “stand-by myself prescription drug plan” because it is separate prescription drug insurance that Medicare beneficiaries can purchase – thru private insurers – commonly to supplement unique Medicare.

What are the four prescription drug insurance levels?

For the duration of the year, your prescription drug plan prices might also change depending on the insurance degree you are in. When you have an element D plan, you pass via the CMS coverage degrees on this order: deductible (if applicable), initial coverage, insurance hole, and catastrophic coverage.

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HELPPPPP

Is this statement correct? "My social security plus what I have put in a regular
savings account will cover all of my retirement expenses."
A. Yes. That sounds about right.
B. No. I can live on less than that. All I need is social security.
C.
No. Three years income and the 25% I may receive from my company's
pension plan will take care of me.
No. I should plan on having a retirement income that is 80% of my working
D.
income.
Question 4

Answers

Answer:

Yes, that sounds about right

Explanation:

Till the age of retirement, a person's mostly expenses are finished, like growing his children, educate them, get them married, etc. He is left with only few expenses like running the house or meet his personal expenses. So the Social Security and some regular savings would be enough for him to lead a respectable life in the society. Also, his children are settled enough to fulfill his expenses at this point of his life. So there is no necessity to invest in a retirement plan that pays you 80% of your regular income. Social security and savings would be enough for the person.

Match definition with correct term Question 2 options: A credit balance in the manufacturing overhead account that occurs when the amount of overhead cost applied to work in process is greater than the amount of actual manufacturing overhead cost incurred during the period. A debit balance in the manufacturing overhead account that occurs when the amount of overhead cost applied to work in process is less than the amount of actual manufacturing overhead cost incurred during the period. The manufacturing costs associated with units of product that were finished during the period Units of product that are only partially complete and will require further work before they are ready for sale to the customer. 1. Cost of Goods Manufactured 2. Overapplied overhead 3. Underapplied overhead 4. Work in process

Answers

Each of the definitions should be matched with the correct term as shown below.

How to match the definitions with the correct term?

In this exercise, you're required to match the following accounting definitions with the correct term as follows:

Overapplied overhead: it is a credit balance in the manufacturing overhead account of a business firm which typically occurs when the expenses (overhead cost) applied to work in process exceeds the actual manufacturing overhead cost it incurred during the period. Underapplied overhead: it is a debit balance in the manufacturing overhead account which typically occurs when the expenses (overhead cost) applied to work in process exceeds the actual manufacturing overhead cost it incurred during the period. Cost of Goods Manufactured: it is the manufacturing costs that are associated with specific units of product that were completed (finished) during the period.Work in process: it is the units of product that have only been completed (finished) and as such would require further work by the workers, before they are ready for sale to customers.

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Sales made on account are recorded with a debit to Accounts Receivable and credit to Sales Revenue for the price times the quantity. Management knows that some of those accounts will not be collected but is unsure which specific customers it will be. Thus, management estimates the amount and records an adjusting entry. Later, when the specific non-paying customer is identified, it writes off the account. The effect of the write off on the accounting equation is to _____. Multiple choice question. increase one asset and decrease another increase assets and stockholders' equity increase liabilities and decrease stockholders' equity reduce assets and stockholders' equity

Answers

The correct answer is option A. The effect of the write-off in the accounting equation is to increase one asset and decrease another.

What is a write off in accounting?

This is a term that is used to refer to the removal of all accounts that are uncollectible for the general ledger of the business.

It is a write off when a person is not able to carry out all of the obligations that they are supposed to do.

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When going downhill, a truck's momentum makes it ____ so you'll have to ____ to pass it

Answers

When going downhill, a truck's momentum makes it go faster so you'll have to speed up to pass it.

What is a momentum?

momentum can be expressed as the  product of the mass of a particle as well as the velocity of the object .

Momentum serves as  vector quantity because of its magnitude as well as direction, hence, When going downhill, a truck's momentum makes it go faster.

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During a sales presentation, your client asks you whether the medicare agency recommends that she sign up for your plan or stay in original medicare. What should you tell her?

Answers

The best thing to tell the client is that the Medicare agency does not endorse or recommend any plan.

What is Medicare?

This refers to the healthcare program in the United States that provides health insurance to people that are over 65 years old.

Hence, we can see that when a person is making a sales presentation and is asked whether there is a recommended plan for them in the medicare agency, the best answer would be to tell the person that the Medicare agency does not endorse or recommend any plan.

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Which of the term structure theories claims that investors are limited to certain maturity ranges due to legal restrictions and personal preferences?.

Answers

Answer:

The market segmentation theory.

Explanation:

Market segmentation theory holds that long-term and short-term interest rates are unrelated. It also argues that the current interest rates for short, intermediate, and long-term bonds should be assessed individually, as if they were products in various debt securities markets.

According to market segmentation theory, each asset maturities market group is primarily composed of investors who, in this example, choose to invest in securities with certain durations such as short-term, long-term, or intermediate. Furthermore, the theory states that buyers and sellers in the short-term securities market have unique characteristics and motives when opposed to buyers and sellers in the long-term and intermediate maturity securities markets.

Reference: Snellman, Kaisa. From One Segment to a Segment of One-The Evolution of Market Segmentation Theory. Svenska handelshögskolan, 2000.

A consumer contest is an example of Group of answer choices sales promotion. public relations. personal selling. indirect selling. social media.

Answers

In marketing, an example of a Sales promotion is a consumer context.

What is a Sales promotion?

This refers to strategy employed by a firm who uses a campaign or offer to increase the consumer;s interest or demand in its product

Because the consumer context involves making relevant offers when the customer is poised to make a purchase, this is an example of Sales promotion.

Therefore, the Option A is correct.

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The consumer contest is SALES PROMOTION.

SALES PROMOTION is a methodical way a company sells its product to target customers.It requires the company to check its customer demands the company also offers a discount to the customer to gain their trust and confidence.  It also helps in making long-term relationships with their customer.

The correct answer is option A.

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Question 9(Multiple Choice Worth 5 points) (04.03 LC) In our culture, one recent fatal event is common and does not affect the insurance business may encourage individuals to decrease insurance coverage may trigger fear and, therefore, more insurance sales frequently results in switching insurance companies

Answers

The pandemic and measures were taken to control the spread disease have significantly disrupted economic activity in countries around the world, resulting in significant business interruption losses.

What was the impact of pandemic over the insurance businesses?

Businesses across many sectors of the economy faced major decline in the revenue during the pandemic due to which government direct them to close their businesses.

Insurers and their associations around the world stated that most of the policyholders have not acquired insurance coverage which will respond to the business interruption losses that result from pandemic business closures.

Business interruption insurance against pandemic risk could be provided with support from governments based on the experience of risk insurance programs.

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Joni is a financial planner for ABC firm. She provided all of her clients with the same products. She felt this was OK since she had thoroughly researched them years ago and found them to be excellent. By concentrating her recommendations with a few firms, she was able to receive commission bonuses. She never discussed their goals and characteristics with her clients unless they brought them up. Explain her violations of SEC and CFP regulations. Indicate what should be done.

Answers

She is in violations of SEC and CFP regulations because she impose her own opinion or want on the client without the clients knowledge.

What is the case about?

The case above is failure of Joni to divulge some vital information  regarding a product to her client.

Note that Joni is ok with the product, that does not mean that the client will still be okay with it. She is suppose to tell her client all that they need to know and then they can decide what to do and she failed to do so and as such She is in violations of SEC and CFP regulations because she impose her own opinion or want on the client without the clients knowledge.

The solution is that she needs to tell her client what she omitted, tender an apology and also she should explain all that there is to know to the client.

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Your Competitive Intelligence team reports that a wave of product liability lawsuits is likely to cause Chester to pull the product Cute entirely off the market this year. Assume Chester scraps all capacity and inventory this round, completely writing off those assets and escrowing the proceeds to a settlement fund, and assume these lawsuits will have no effect on any other products of Chester or other companies. Without Chester's product Cute how much can the industry currently produce in the Core segment

Answers

The answer should be 2

In the tiered architecture, the erp application is stored on the ________ tier

Answers

The erp application is stored on the business logic tier in tiered architecture.

What is an erp application?

Also called a Enterprise resource planning software, involves the use of software, technologies and systems  to manage and integrate their core business processes.

As the tiered architecture is concerned, the erp application is stored on the business logic tier.

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A business's accounting systems include a(n) _____ system, which tracks the amounts of money owed and paid by customers to the company and from the company to vendors and others.

Answers

A business's accounting systems include an account receivable system, which tracks the amounts of money owed and paid by customers to the company and from the company to vendors and others.

What is an accounting system?

The business accounting system is what assist a business keep track of the business transactions which includes income and other related expenses.

Hence, a  business's accounting systems include an account receivable system, which tracks the amounts of money owed and paid by customers to the company and from the company to vendors and others.

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Johnson Co. has 1,000,000 euros as payables due in 30 days, and is certain that the euro is going to appreciate substantially over time. Assuming the firm is correct, the ideal strategy is to: a.remain unhedged. b.purchase euro currency put options. c.purchase euro currency call options. d.sell euros forward. e.purchase euros forward.

Answers

Based on the fact that the Euro will appreciate, the best thing for Johnson Co. to do is to e.purchase euros forward.

What should Johnson Co. do?

The fact that the Euro is going to appreciate in value means that Johnson Co. will have to pay more in future.

They should therefore lock in a favorable Euro rate now by purchasing Euros at a forward rate.

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With regard to promoting standards of excellence, LaFasto and Larson (2001) identified three Rs that help improve performance: require results, review results, and ______.

Answers

The 3 Rs that LaFasto and Larson (2001) identified as imporant to improve performance includes:

require resultreview resultreward result

Who is LaFasto and Carl Larson?

These are economist that explored the performance question for more than 20 year and also proposed a model called "Five Dynamics of Teamwork and Collaboration.

In conclusion, the 3 Rs that LaFasto and Larson (2001) identified as important to improve performance includes require result, review result and reward result.

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George and Betty, a middle-aged couple, have watched their savings account dwindle over the years. They both make good incomes and can't understand why they aren't saving more each month. Below is their financial information to complete an income statement. Gross monthly income: $8,000 Income taxes withheld monthly: $2,300 Monthly interest income from investments: $100 Monthly insurance payments: $700 Monthly housing expenses: $4,500 Monthly food expenses: $800 Miscellaneous expenses: $400 What is George and Betty's net income

Answers

The net income of George and Betty has been calculated to be $600.

What is net income?

This is the term that is used to describe a person's gross income minus all other expenses which are to be accounted for.

In other to solve for the net income, we have to first determine the pay that Betty and George have.

revenue = Gross income + interest income

= 8000 + 100

= 8100

Next we solve for the expenses

taxes withheld + insurance payments + housing + food + miscellaneous

= 2300 + 700 + 4500 + 800 + 400

= 8700

Net income = 8700 - 8100

= $600

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1. Under which type of law would a dispute concerning copyrights be addressed?

common law

contract law

civil law

statutory law

2. A neighbor hires his son’s friend to mow his grass once a week. His son’s friend is 14 years old. This implied contract would be deemed invalid because it did not meet which component of a valid contract?

capacity

mutual agreement

consideration

legal purpose

3. A police officer pulls you over on the Interstate and gives you a ticket because you broke the law by failing to signal a lane change. What type of law did you break?

common law

statutory law

code law

civil law

Answers

1. (D) Statutory law

Statutory laws are written laws that have been approved by a legislature (either a state or federal legislature).Statutes may require specific action, prohibit them act as declarations of intention or lay out the ways in which government will act in certain circumstances

So, this proves that if any dispute related to copyright be addressed in Statutory law with all rules and regulations.

2.  (A) Capacity

Valid contract is a written or expressed agreement between two parties to provide a product or service.An age of a person is defined i.e. 18 years to come in valid contract but if a contract made with a minor is considered as a void contract.

3. (A) Statutory law

Statutory laws are written laws that have been approved by a legislature (either a state or federal legislature).Statutes may require specific action, prohibit them act as declarations of intention or lay out the ways in which government will act in certain circumstances.

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Productivity is the Blank______ at which goods and services are produced based upon total output given total inputs. Multiple choice question. rate input output process

Answers

Productivity is the "rate" at which goods and services are produced based upon total output given total inputs.

What is rate pf productivity?

In economics, productivity is the ratio of output to input, such as labour, capital, or any other resource. It is frequently determined for the economy as a ratio of hours worked to gross domestic product (GDP).

Labour productivity is calculated by the formula-

the labour productivity equation: total output / total input.

The residual of any discrepancy between the rate of output growth and the rate of input growth is used to calculate productivity growth.

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What is cyberbullying? Why does it happen so often?

Answers

Answer:

Cyberbullying happens for many of the same reasons as any other type of bullying, but it may be even more appealing because it can be done anonymously. two kinds of people who are likely to bully: those who are popular and those who are on the social fringes.

Popular kids or teens may bully because:

They see it as a way to stay popular.

Hurting others makes them feel powerful.

Kids or teens who are less socially successful may bully because:

It helps them cope with their own low self-esteem.

They think it will help them fit in with their peers.

They have trouble empathizing with those they hurt.

When a shortage of a commodity occurs, we would expect to find that

Answers

When a shortage of a commodity occurs, we would expect to find that the price of the commodity is less than equilibrium price.

What is a shortage?

A shortage occurs when the quantity demanded exceeds the quantity supplied. At this point, he price of the commodity is less than equilibrium price. For equilibrium price to be restored, the price of the commodity would rise until equilibrium is restored.

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Companies that try to act in a socially responsible way are likely to focus on such activities as Multiple select question. increasing the diversity of their workforce hiring only women and minorities providing safety equipment and training for their workers using recyclable packaging

Answers

Companies that try to act in a socially responsible way are likely to focus on such activities as increasing the diversity of their workforce, providing safety equipment and training for their workers using recyclable packaging.

How can companies act in a socially responsible way ?

Companies that are trying to act in a socially responsible way would take steps to ensure that they protect labour, employ more minority groups and take steps to protect the environment. Companies that are trying to act in a socially responsible way often adopt ESG factors in their decision making processes.

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BestCare Health Plan has received a request from a state insurance department in connection with the investigation of several marketing representatives licensed by the state who sell Medicare Advantage plans. What action(s) should BestCare take in response

Answers

In the case above, BestCare response is to cooperate with the state and supply requested information.

What is health plan?

A health plan is known to be a kind of plan that is made for employee welfare benefit  and it is often set up or kept by an employer or by an employee firm or both, that gives medical care for its participants.

Note that, In the case above, BestCare response is to cooperate with the state and supply requested information.

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Kent bought a $1,000, 20-year U.S. Treasury bond that paid six percent annual yield when he was 22. How much would that bond be worth 20 years later when it matured?

Answers

The bond bought by Kent at the age of 22 for $1000 at the rate of six percent will be worth around $3207 at maturity.

What is a bond?

A bond is a debt instrument, which is subscribed by an individual at a fixed rate of return, in order to earn a secured rate of return at the time of maturity of such bond.

The formula used to calculate the rate of maturity of bond will be as below,

[tex]\rm Compounded\ Annuity\ = Amount(\dfrac{1}{1+rate})^n\\\\\rm Compounded\ Annuity\ = 1000(\dfrac{1}{1+0.06})^2^0\\\\Compounded\ Annuity= \$3,207.14[/tex]

Hence, the rate of return of the bond on maturity is as calculated above.

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Roberto: Quiero trabajar como voluntario el prximo verano. Julio: Yo _________ viajar por Europa.A. tengo raznB. tengo vergenzaC. tengo pensadoD. tengo cuidado You are not liable for damage to property next to a street or highway if in a collision. FALSE TRUE Submit answer 4Days 7hours 16 minutes What does it mean if someone says they are slowly giving up? Ken had 5 math quizzes in a month.Which table can be used to find his mean score on the quizzes? Problem 2. 2 .The particle P moves along the curved slot, a portion of which is shown. Its distance in meters measured along the slot is given by s = t^2/ where t is in seconds. The particle is at A when t = 2.00s and at B when t = 2.20s. Determine the magnitude a_avg of the average acceleration of P between A and B. Also express the acceleration as a vector a_avg using unit vectors i and j. What is the nth term rule of the linear sequence below?27, 25, 23, 21, 19, ... Which transformation would be a horizontal reflection and a dilation of scale factor of the L shape? What are the minimum and maximum required footing projections for a concrete footing having a thickness of 8 inches Which passage provides more effective evidence, and why?Passage 1 is more effective because the evidence is logical and does not include fallacies.Passage 1 is more effective because the evidence is logical and cannot be opposed.Passage 2 is more effective because the evidence is emotional and includes two perspectives.Passage 2 is more effective because the evidence is logical and is supported by anecdotes. Find the simplified product. b-5/2b X b^2+3b/b-5 Find all (a, b, c, d) in R4 such that the given set is orthogonal. {(1, 2, 1, 0), (1, 1, 1, 3), (2, 1, 0, 1), (a, b, c, d)} Select the correct text in the passage.Which detail best develops a theme about making faulty assumptions?[14] Oh, heavens! it was broad daylight. The noise brought my friends hurrying into my apartment, and we found, sprawling over my improvised bed, the dismayed valet, who, while bringing me my morning cup of tea, had tripped over this obstacle in the middle of the floor and fallen on his stomach, spilling my breakfast over my face in spite of himself.[15] The precautions I had taken in closing the shutters and going to sleep in the middle of the room had only brought about the practical joke I had been trying to avoid.[16] Oh, how they all laughed that day! According to current evidence, Pluto is best described as ________. an escaped moon of Jupiter or Saturn a large member of the Kuiper belt a small jovian planet a terrestrial planet that is surprisingly far from the Sun 3. At which ONE of the following temperatures do bacteriagrow best?O 4CO 37CO -18CO 70C Ratio 6 to 5 of 20000 Matt is trying to measure the height of a tree usingtrigonometry. He is having trouble because of theterrain around the tree. The horizontal distancefrom the tree to Matt's eyes is 120 feet. The angleof depression from the horizontal is 30. Matt'sangle of sight to the top of the tree is 23. What isthe height of the tree? (Round to the nearest foot.) A manufacturing company regularly conducts quality control checks at specified periods on the products it manufactures. Historically, the failure rate for LED light bulbs that the companymanufactures is 14%. Suppose a random sample of 10 LED light bulbs is selected. Complete parts (a) through (d) below.a. What is the probability that none of the LED light bulbs are defective?The probability that none of the LED light bulbs are defective is(Type an integer or a decint. Round to four decimal places as needed.) Show how to solve it step by step tan(x)cot(x)=1 ways that student can use to have study-life balance