Suppose that a family wants to start a college fund for their child. If they can get a rate of 5.5% , compounded monthly, and want the fund to have a value of $35,450 after 20 years, how much should they deposit monthly

Answers

Answer 1

They must make a monthly deposit of $81.38 for the annuity's future worth.

How is an annuity's future value determined?

The future value of an ordinary annuity is calculated using the formula F = P * ([1 + I]N - 1)/I, where P is the payout amount. It has the same interest (discount) rate as I. There have been N payments (the "" denotes that N is an exponent). F represents the future value of the annuity.

Having said that,

F = P * ([1 + I]^N - 1)/I,

where,

Annuity FV = $35,450

P = a recurring payment,

r = annual interest rate of 5.5%

35,450 = p/ [(1+0.055/12) ^240-1]/(0.055/12)

N = number; timeframe: 20 years; months: 240

Considering every value,

As a result, they need to deposit $81.38 every month.

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Related Questions

True or false: Each type of information system (TPS, MIS, DSS, EIS) generally serves (and is used by) employees/users at different levels of the organization (i.e., TPS for one group, MIS for another group, DSS for another, and EIS for another).

Answers

Certainly, any information system such as "TPS, MIS, DSS, EIS" is the same. It typically serves (and is used by) employees/users at various levels of an organization.

A typical organization is divided into operational, middle, and upper levels. Each level of user has different information requirements. For this purpose, there are many information systems supporting all levels within the organization.

This tutorial explores the different types of information systems, the organizational levels that use them, and the characteristics of each information system. In this tutorial, you'll learn about different classifications of information.

TPS is designed to accelerate and automate transaction processing, record keeping, and easy business reporting of transactions. DSS is intended to support decision-making.

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What were internment camps called?

Answers

Internment camps are also called as concentration camp.

A concentration camp for civilians, especially those with ties to an enemy during a conflict, as the camps built by the US government to jail Japanese Americans after the Pearl Harbor attacks. A prison camp for the incarceration of prisoners of war, enemy aliens, political prisoners, etc.

Hitler and Communism did not invent the phrase "concentration camp," but it did. More often and more properly, the Nazi concentration camps are referred to as death camps. Though the "crimes" and "trials" were frequently fictitious, Stalin's Gulags were prison camps, making them slightly distinct from other concentration camps. However, a concentration camp—like those run by the British during the Boer War—does not by itself imply atrocities.

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What are the three most important types of insurance?

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The three most important types of insurance are: term life insurance, whole life insurance, and universal life insurance.

There are several types of life insurances, but among them, there are three most important types.

Term life insurance: This insurance covers you for a specific number of years. If you die before the term is over, it pays a predetermined sum to your specified beneficiary. Term policies are the most basic and easily available type of life insurance coverage.Whole life insurance: This type of insurance differs from term insurance in that it never expires. It is an investment-like, tax-deferred savings account with a death benefit and a cash value. Every month, a percentage of your premium is deposited into your saved cash worth. As a result, the more you invest each month, the faster it will increase.Universal life insurance: It is a popular type of permanent life insurance. It comes with cash value and allows you to select your own premiums. So, if you don't spend as much on premiums, some money will come from your policy's cash worth. This insurance is intended for persons who want to develop a nest egg without incurring increased income or permanent need.

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What is the cost of life insurance?

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The cost of life insurance varies depending on factors such as age, health, and death benefit amount.

Life insurance premiums are based on a variety of factors that insurers use to determine risk. Age is one of the main factors, as those who are younger typically pay lower premiums. Other factors like the death benefit amount, medical history, lifestyle, and occupation can also affect the cost of life insurance.

Additionally, the type of life insurance policy chosen can also affect the cost. Term life insurance usually has lower premiums but no cash value, while whole life insurance has higher premiums but also provides a cash value component.

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The economic cost to society each year from crashes and injuries on US highways is about _________ dollars.

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The economic cost to society each year from crashes and injuries on US highways is about 242 billion dollars. Economic cost compares the benefits and drawbacks of various options.

Economic cost is the sum of all losses involving items that have been valued by a single person. Economic cost is primarily used by economists as a tool to assess the wisdom of one course of action vs another. The comparison takes into account both the profits and costs a course of action would have avoided, as well as those of the actual course of action. Due to the inclusion of opportunity cost, economic cost differs from accounting cost. Accounting costs are sometimes referred to as explicit costs and opportunity costs as implicit costs. Economics uses a wide variety of cost definitions. The explicit cost, also known as the accounting cost, is the price that someone pays when they purchase a candy bar at a store for $1. However.

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Why does the Texas Real Estate Commission approve or promulgate, or both, specific forms to be used in real estate transactions?

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Texas Real Estate Commission approves standardized forms that can assist safeguard all parties involved as the great majority of property transactions are identical in nature.

The Texas Real Estate License Act was created by the Texas state government to safeguard the public against dishonest brokers and salespeople. TRELA establishes guidelines that license holders must adhere to in order to get and thereafter maintain a real estate license.

The TREC's applications are public records, thus anyone can access them. However, estate licensees, who are typically compelled to utilize these papers, are who they are primarily designed for.

Registration Forms are True estate of Right-of-Way or Easement. Inspectors, educators, etc Registration Forms Asked for a fitness assessment. True estate. a right of way or an easement. Inspectors. aspiring inspector Property inspector.

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How do landlords choose tenants?

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Most landlords base their selection of tenants on a tenant's past rental history, credit history, and capacity to pay rent.

What is credit?

In general, credit is an agreement between a loan and their lender. Creditworthiness as well as credit score are other terms that can be used to describe something or someone. A credit might even increase liabilities or cut assets in addition to lowering expenses or boosting earnings.

What is a credit score?

a description of a credit score. A fico score is really a statistical evaluation of a consumer's creditworthiness based on their credit history. Lenders use credit scores to assess a borrower's likelihood of making debt repayments.

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The number of products that a firm is willing to sell is also known as the number it is willing to _____.

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The number of products that a firm is willing to sell is also known as the number it is willing to supply

The term "supply" refers to the overall quantity of a certain commodity that is made available to the market for consumption. Demand and supply have a strong relationship that influences market equilibrium, which determines the amount of items available on the market and their selling prices. The amount of goods or services that a company has available to its customers at any given time is referred to as supply. This refers to the goods a company has on its property and in warehouses that it can sell to clients in a physical, brick and mortar store.

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Customer relationship management (CRM) is best characterized as: Group of answer choices any of the above a marketing strategy a customer service discipline an enterprise-wide strategy

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Customer relationship management (CRM) is the combination of practices, strategies and technologies that companies use to manage and analyze customer interactions and data throughout the customer lifecycle.

Customer rel-ationship management (CRM) is the process by which a business or other organization manages customer rel-ationships, usually through analysis of vast amounts of data. A CRM system collects information from various communication channels.

This allows businesses to learn more about their audiences and best serve their needs, leading to customer retention and increased revenue. CRM can be used for current, past, or future customers. CRM describes the principles, methods, and standards a company follows when dealing with its customers.

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If a company does not have enough capacity to consistently meet an order by a certain timeline it can:

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A company can hire more employees, subcontract with another business in the same industry, or expand operations if it lacks the ability to consistently complete orders by a specific deadline.

What name is given to the price of making, packaging, and delivering one item?

The expenses a business has to pay when producing a good or offering a service that brings in money for the business are referred to as production costs. Labor, raw materials, consumable manufacturing supplies, and general overhead are just a few examples of the costs that might be included in production costs.

How quickly is business expanding or generating more money from sales?

The revenue growth rate calculates the percentage change in revenue from one month to the next. It is among the most popular and significant startup KPIs.

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If $1,120 is invested at an interest rate of 15% per year and is compounded continuously, how much will the investment be worth in 7 years

Answers

The worth of investment in 7 years will be $3,200.57.

we know that,

The equation to use to determine continuously compounded interest is

[tex]A= P(e)^{rt}[/tex]

 

where,

The final investment value is A.

P is the initial investment's principal.

The interest rate in decimal form is r.

There are t time periods.

The mathematical constant is called e.

we have,

[tex]t= 7 \:years\\r= 0.15\\P= $1,120\\[/tex]

 

Substitute in the formula above  

[tex]A= $1,120(e)^{0.15*7}[/tex]

[tex]A= $3,200.57[/tex]

Therefore, The worth of investment in 7 years will be $3,200.57.

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Why do many countries prefer to use the mixed economic system?

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In a mixed economy, private businesses and public enterprises coexist alongside free markets and governmental intervention.

What do you mean by businesses?

A for-profit firm or company is referred to as a "enterprise" in other contexts, but this usage most frequently refers to entrepreneurial endeavors. Successful entrepreneurs are frequently referred to as "enterprising." There are numerous types of legal businesses, with the most popular in the United States

What qualifies a business as an enterprise?

In essence, any business that has a number of locations, levels, departments, or divisions that work together to accomplish corporate goals and objectives is referred to as a "enterprise." The term "enterprise business process" refers to a collaborative effort between staff members from all company departments.

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Read the quotation above, an excerpt from a speech by a U.S. public official. The statement most directly reflects which of the following economic principles and contradicts which other?

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The claim directly contradicts Adam Smith's theory of free enterprise and John Maynard Keynes' notion of government responsibility.

Reflects:

Given that "In the long run, we are all dead," as he put it, Keynes suggested that governments should address issues now rather than waiting for market forces to do so. This does not imply that Keynesians support periodic policy adjustments to maintain full employment.

Contradicts:

Adam Smith was one of the first thinkers of his era to assert that money is produced via labor that is productive and that individuals are driven by self-interest to make the most use of their resources. He believed that capital investments generated profits, and that capital is allocated to projects where the greatest profits can be realized.

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What is any proprietary software licensed under exclusive legal right of the copyright holder? Multiple Choice closed source open source knowledge system open system

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The correct option is A. Closed Source is Any proprietary software licensed under exclusive legal right of the copyright holder.

Proprietary software is software program that is deemed in the unfastened and open-source software to be non-unfastened because its writer, writer, or different rightsholder or rightsholder partner physical activities a criminal monopoly afforded through modern-day copyright and intellectual assets regulation to exclude the recipient from freely sharing the software program or editing it, and—in some instances.

The case with some patent-encumbered and EULA-bound software—from using the software on their personal, thereby limiting his or her freedoms. it is frequently contrasted with open-source or loose software. for this reason, it's also referred to as non-loose software program or closed-source software program.

A software dealer delineates the precise terms of use in a stop-consumer license agreement (EULA). The person may comply with this contract in writing, interactively on screen (clickwrap), or with the aid of establishing the box containing the software (cut-back wrap licensing). License agreements are typically not negotiable.

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the efficiency-wage theory of worker turnover suggests that firms with higher turnover will have

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The efficiency-wage theory of worker turnover suggests that firms with higher turnover will have higher wages.

This theory posits that firms will pay higher wages to their workers in order to reduce turnover and increase productivity. The reasoning behind this is that higher wages will make it less attractive for workers to leave their current job for another one, thus reducing turnover. Additionally, the theory suggests that when workers are paid higher wages, they will be more motivated to work harder and be more productive, which can lead to increased efficiency and profitability for the firm. The efficiency-wage theory of worker turnover suggests that firms with higher turnover will have higher wages, and that this can lead to increased efficiency and profitability for the firm. By reducing turnover through higher wages, firms can reduce the costs and disruptions associated with recruiting and training new workers. Additionally, by motivating workers to work harder and be more productive, firms can increase efficiency and improve overall performance. This can in turn lead to increased profitability for the firm.

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Carlos took seven years to pay off his loan by making identical quarterly payments. the loan had a principal of $22,375 and 5.49% interest, compounded quarterly. carlos paid a total of $28,821.67. how much did carlos pay in service charges? round all dollar values to the nearest cent.
a. $1,721.31
b. $4,725.36
c. $1,670.98
d. $6,446.67
please select the best answer from the choices provided a b c d

Answers

The correct response is a. $1,721.31.  Carlos pay in service charges $1,721.31.

A service charge is a cost incurred to cover extra services obtained in addition to the main good or service acquired. The fee is typically imposed after the transaction is finished. Restaurants, banking, travel, and tourism are just a few of the industries that charge service fees. Tenants pay service charges to cover the cost of community or shared services provided to a building and, if relevant, the surrounding estate. In your leasing agreement, it is specified how charges are computed and what they cover. If a payment is explicitly presented to the customer as a totally discretionary contribution, HMRC will accept that it is a voluntary service charge. The material that the customer sees should reflect this and be in line with the guidance provided to clients by staff members.

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Which of the following costs generally can be traced directly to units of product?
a. Indirect materials and assembly labor
b. Assembly labor
c. Indirect materials
d. Overhead costs

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(b) Assembly labor is generally a cost that can be traced directly to units of product.

This is because assembly labor is a direct cost, which means it is directly associated with the production of a specific product or group of products. The cost of assembly labor can be traced to specific units of product by calculating the amount of labor required to produce each unit. Indirect materials and overhead costs, such as indirect materials and overhead costs, are not directly associated with the production of specific products. They are indirect costs, which means they are incurred in the production process but cannot be traced directly to specific units of product. They are typically allocated to products based on a cost driver such as machine hours, direct labor hours, or production output.

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A good that takes up a very large percentage of the consumer's budget will tend to have
A. An elastic demand
B. A perfectly elastic demand
C. an inelastic demand
D. an upward-sloping demand curve
E. Very many substitutes

Answers

Answer:

A. An elastic demand is the answer.

Explanation:

The market for coffee is initially in equilibrium. Coffee producers engage in a nationwide advertising campaign to encourage more coffee consumption. The campaign is successful so the demand for coffee increases. Therefore, it can be concluded that the equilibrium quantity of coffee will __________.

Answers

At first, the coffee market is in a state of balance. To increase coffee consumption, coffee companies run a national advertising campaign. As a result of the campaign's success, there is a rise in coffee demand. Therefore, it can be said that more coffee will be needed to reach equilibrium.

In the United States, the production of coffee includes growing and processing coffee beans into roasted, ground, or flavor-infused coffee products as well as coffee concentrates, extracts, flavorings, and syrups. Coffee is a common beverage and important good. Millions of small farmers in developing countries depend on the coffee they grow for a life. Worldwide, 2.5 cups of coffee are used per person per day, or more than 2.25 billion cups each day. While most coffee is consumed in developed economies, over 90% of the world's coffee is actually grown in developing countries, primarily in South America. 25 million small farmers rely on the selling of coffee to make a living worldwide. Producing produces almost a third of the world's coffee.

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If the consumer price index (CPI) were 131 at year-end 1999and 125 at year-end 1998, then inflation during 1999 was

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From the base year to the current year, prices have risen by 30%. First, divide the result by the CPI for the starting date by the difference between the consumer starting date (A) and the ending date (B) (A).

Then divide the value by 100 to obtain the percentage inflation prices. Typically, to obtain a baseline for the consumer price index, multiply the sum by 100. The number that sets the comparability of your total is known as the baseline. For instance, if you divided $290 by $260, the result was 1.16. To get your baseline, multiply this value by 100.

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If firms expect the future returns for an investment to be very low, all else equal, they will multiple choice 2 produce more. invest more. invest less. produce less.

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Invest less. Firms will invest less if they expect the future returns for an investment to be very low, as it is not a good use of resources to invest money into something that is unlikely to yield a good return.

What is Invest?

Investing is the process of placing your money into assets such as stocks, bonds, mutual funds, and other securities with the expectation that they will appreciate in value over time. By investing, you are taking a risk with your money and hoping that you will gain a return on your investment. Investing can be a great way to grow your wealth and save for the future. You can also invest in yourself through education and training. When investing, it’s important to do your research and understand the risks and rewards of each type of investment. Additionally, it’s important to diversify your investments, as this can help you manage your risk and maximize your potential for profits.

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According to Porter, strategy is fundamentally about being _____. A. different B. efficient C. superior D. scalable E. profitable

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According to Porter, strategy is fundamentally about being different.

Hence, Option A is correct

Michael Porter, however, describes strategy as a company's "deliberately choosing a different set of activities to deliver a unique mix of value" in order to maintain a competitive position. To put it another way, you must comprehend your rivals and the market you have chosen before you can decide how your company should respond. These forces include potential new market entrants, suppliers, customers, and substitute products that affect a company's profitability. They also include the quantity and strength of a company's competitive rivals.Operational effectiveness, according to Michael Porter, is insufficient because its methods are simple to duplicate, even though it is necessary for superior performance. In contrast, selecting a singular and advantageous position rooted in activity systems that are much more challenging to rival is the essence of strategy.

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How does a free enterprise system provide opportunities for individuals?

Answers

A free enterprise system allows individuals to pursue their own economic goals and create wealth through entrepreneurship.

What is free enterprise system? The free enterprise system is an economic system based on a free market and private ownership of goods and services. It is a type of market system where supply and demand are allowed to operate with minimal government interference. It encourages competition and the production of goods and services that are in demand. It rewards businesses that produce and sell products and services that are of high quality and in great demand. The free enterprise system is characterized by the ability of businesses to expand and contract without government interference. It allows businesses to determine the prices of their goods and set their own wages for employees. It allows for the open exchange of goods and services, allowing for the fair and efficient distribution of goods and services. It also encourages innovation and the development of new and better products and services. The free enterprise system is an essential part of a successful economy, allowing businesses to grow and compete, and allowing consumers to benefit from the best products and services available.

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Who controls everything in a command economy?

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In a command economy, all economic decisions are made at the discretion of the central authority. The land and the means of production are either owned by the state or a group.

The government develops a central economic plan in a contemporary, centrally planned command economy. The government might create a five-year plan, for instance, with objectives for the economy and society in each sector and area of the nation. Goals are transformed into actionable objectives in shorter-term strategies.

All resources are distributed by the government in accordance with the overall plan. It seeks to make the best use possible of the nation's financial resources, labor force, and natural resources.

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in evaluating the best advertising medium to reach a specific target market the clear choice is_____

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In evaluating the best advertising medium to reach a specific target market the clear choice is direct mail.

What is Mail?A system for moving postcards, letters, and packages physically is known as mail or post.Although many governments impose limitations on private systems, postal services can be either public or private.Since the middle of the 19th century, national postal services have typically been founded as a government monopoly, with a fee on the article prepaid.An adhesive postage stamp is typically used as proof of payment, although for mass shipping, a postage meter is also utilized.The term "snail mail" was invented with the introduction of email. Apart from carrying letters, postal authorities frequently perform other duties.In some nations, in addition to managing telephone and telegraph networks, a postal, telegraph, and telephone service also manages the postal system.

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Credit default swaps are Multiple Choice an insurance product designed to protect financial institutions from customers who default on their loans. securities with a maturity of less than one year. the result of a leveling off or slowing down of stock price increases. market trades in previously issued securities.

Answers

Credit default swaps are a type of insurance created to shield financial organisations against clients who don't pay back their debts on time.

What is credit default?

A default happens when a borrower is unable to make the necessary debt payments. Credit card debt, school loans, and loans secured by real estate, such a mortgage, are examples of secured and unsecured debt that can default on payments.

What are credit default swaps used for?

With the use of a Credit Default Swap (Credit Default Swaps), a Credit Default Swaps (CDS), a Credit Default Swaps (CDS), a Credit Default Swap (CDS), The lender acquires a CDS from another investor who guarantees to reimburse them in the event that the borrower defaults in order to swap the default risk.

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The failure of communism in a large number of countries is at least partly explained by Group of answer choices the fact that those countries relied absolutely on the invisible hand. the fact that those countries did little or nothing to restrict trade with other countries. the lack of information, on the part of central planners in those countries, about tastes and preferences in their economies. the lack of information, on the part of central planners in those countries, about how much authority the government had in affecting economic outcomes.

Answers

Option 3 is Correct. The failure of communism in a significant number of nations is at least partially explained by the central planners in those nations' ignorance of the preferences and tastes that make up their economy.

The main distinction between communism and socialism is that under communism, the state (rather than private citizens) owns and controls the majority of property and economic resources, whereas under socialism, all citizens share equally in the economic resources distributed by a democratically elected government.

Government control is the main component of a command economy. The government establishes economic goals and regulates production and pricing rather than letting market forces determine the production of products and services.

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Correct Question:

The failure of communism in a large number of countries is at least partly explained by Group of answer choices

1. the fact that those countries relied absolutely on the invisible hand.

2. the fact that those countries did little or nothing to restrict trade with other countries.

3. the lack of information, on the part of central planners in those countries, about tastes and preferences in their economies.

4. the lack of information, on the part of central planners in those countries, about how much authority the government had in affecting economic outcomes.

expert that helps you learn core concepts.
See Answer
Acme Company
Balance Sheet
As of January 5, 2021
(amounts in thousands)
Cash 14,700 Accounts Payable 2,400
Accounts Receivable 4,800 Debt 3,700
Inventory 3,800 Other Liabilities 5,000
Property Plant & Equipment 15,800 Total Liabilities 11,100
Other Assets 900 Paid-In Capital 6,000
Retained Earnings 22,900
Total Equity 28,900
Total Assets 40,000 Total Liabilities & Equity 40,000
Update the balance sheet above to reflect the transactions below, which occur on January 6, 2021
1. Receive payment of $12,000 owed by a customer
2. Buy $15,000 worth of manufacturing supplies on credit
3. Purchase equipment for $44,000 in cash
4. Issue $80,000 in stock
5. Pay $4,000 owed to a supplier
6. Borrow $58,000 from a bank
7. Buy $15,000 worth of manufacturing supplies on credit
What is the final amount in Accounts Payable?

Answers

According to the question, the final amount in accounts payable of balance sheet is $21,400.

What is balance sheet?
A balance sheet is a financial statement that summarizes a company's assets, liabilities and shareholders' equity at a specific point in time. It is used to gain insight into the financial strength of a company. Balance sheets show a company's total assets, liabilities, and equity. Assets are everything a company owns, such as cash, accounts receivable, inventory, and property. Liabilities are amounts owed to creditors, such as accounts payable, debt, and payroll liabilities.

This is because the Accounts Payable amount of $2,400 is increased by the second transaction of buying $15,000 worth of manufacturing supplies on credit and decreased by the fifth transaction of paying $4,000 owed to a supplier.  Thus, the Accounts Payable balance is $2,400 + $15,000 - $4,000 = $21,400.

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A job order costing system would best fit the needs of a company that makes:
Multiple Choice
O Custom machinery.
O Cement.
O Shoes and apparel.
O Paint.
O Pencils and erasers.

Answers

A company that produces custom machinery would benefit most from a job order costing system.

What do you know about costing system?

A costing system is made to keep track of a company's expenses. The system is made up of a number of forms, procedures, checks, and reports that are intended to gather and provide financial data to management. Any aspect of a business, including its clients, divisions, locations, structures, operations, procedures, goods and services, study and development, and reseller, may be covered by the reporting categories. The expenses of materials, labour, and overhead are totaled for each unit or task. For distinctive products like specially made machines or consultancy assignments, this strategy works well. Cost accumulation is a labor- and labor-intensive activity.

So, The required answer is Custom machinery.

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In a Boston Consulting Group (BCG) matrix, _____ are businesses that have only a small share of a quickly growing market.

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In a Boston Consulting Group (BCG) matrix, problem child are businesses that have only a small share of a quickly growing market.

A planning tool developed by the Boston Consulting Group (BCG) uses graphical representations of a company's goods and services to assist it in deciding what to maintain, sell, or spend more in. The matrix displays a company's products as a four-square matrix, with the market share axis on the x-axis and the rate of market growth on the y-axis. The Boston Consulting Group first presented it in 1970. A company with a tiny market share in a sector that is expanding quickly is considered a problem kid. It is one of the four classifications in the BCG Growth-Share Matrix, a management tool created by Boston Consulting Group in 1968 to assist businesses in determining which business units to buy and which to sell.

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Prove that if a, b, and c are real numbers such that A^2 + B^2 + C^2 = 0, then A = B = C = 0 common complications associated with central venous catheters include all of the following, except: what important, relevant aspect do the "run, hide, fight;" "add;" and "alice" protocols share? 18) Write the expression: the sum of the quantity h and 2 divided by 4. A) h 4 2 B) h 2 4 C) h 2 4 D) 4 h 2 what are 5 ways the colonial settlement affect Native American populations? Consider the parent function f(x) below and graph var w=20;var h = 15;rect (10, 10, w, h);ellipse (10, 10, w, h);How tall is each one of the shapes? TCS the scrum team is using the KANBAN board to make work visually availible to all. What cannot be inferred from the board When was the radar used in war? Where did the Creek tribe come from? Alabama and Georgia Maine and New York Tennessee Wyoming 7O POINTS HELP ASAP!!!Given the graph of this function, determine the statement that best describes the end behavior. what is the error in this sentence, or is there no error10) I decided once and for all to lay my cards on the table and not entertain any negotiating. how does the value of A determine the range for f(x) = a|x|HELP PLEASE ASAP Jim purchased x iced teas and y soft pretzels at a cricket game. He spent atotal of $32. The equation below describes the relationship between thenumber of iced teas and the number of soft pretzels purchased.3x+2y=32The ordered pair (4, 10) is a solution of the equation. What does the solution(4, 10) represent?HELPPPP The right triangle represents a sketch of a wheelchair ramp that meets safety requirements. What is the horizontal distance required for the ramp? Round your answer the nearest tenth Mr Davis is creating a spice mixture for a recipe.2/5 of the spice mixture was oregano. 1/5 of the mixture was basil. The rest of the mixture was chilli powder What is the most important outcome of the Seven Years (French and Indian) War for the colonists? Consider the following problem:The length s(t) of the side of the base of a square prism is decreasing at a rate of 7kilometers per minute and the height h(t) of the prism is increasing at a rate of 10kilometers per minute. At a certain instant to, the base's side is 4 kilometers and theheight is 9 kilometers. What is the rate of change of the surface area A(t) of theprism at that instant?Match each expression with its given value. Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television Choose the best answer.Which is the participial phrase in this sentence?Known by many at the party, the song "La Macarena" was performed by StephaA the songB by Stephan's bandC Known by many at the partyD at the party