Based on the sales level, the variable cost ratio, and the profit, the break-even point in units can be found to be 12,200 units
How to find the break-even point in units?The break-even point in units can be found by the formula:
Break-even point in units = Fixed costs ÷ Contribution margin per unit
First, find the fixed costs. To do that, you need to use the formula:
= Sales - Variable Cost - Profit
= 420,000 - (420,000 x 50%) - 88,000
= 420,000 - 210, 000 - 88,000
= $122,000
Then, find the contribution margin per unit:
= Selling price per unit - Variable cost
= Selling price per unit x (1 - variable cost ratio)
= 420,000 / 21,000 x (1 - 50%)
= 20 x 50%
= $10
The break-even point in units is therefore:
Break-even point in units = Fixed costs ÷ Contribution margin per unit
= 122,000 / 10
= 12,200 units
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which of the following functions as both a store of value and a medium of exchange? a. cash but not stocks b. stocks but not cash c. cash and stocks d. neither cash nor stocks
Cash serves as a value store and a medium of exchange, but not stocks. A security that denotes ownership of a portion of the issuing company is referred to as a stock.
A security that denotes ownership of a portion of the issuing company is referred to as a stock, also known as equity. Shares, which are units of stock, entitle its owners to a percentage of the company's assets and income based on how many shares they possess.
The cornerstone of many individual investors' portfolios, stocks are exchange mostly bought and sold on stock exchanges. Government rules aimed at shielding investors from dishonest tactics must be followed when trading stocks.
Due to the legal separation of corporate property from shareholder property, both the corporation and the shareholder are subject to less liability. The assets of a shareholder are not at risk if the corporation stocks declares bankruptcy, but a judge may order the sale of all of its assets. Even if your shares' value may have decreased, the court cannot exchange order you to sell them. The company's assets cannot be sold to satisfy creditors if a key stakeholder declares bankruptcy.
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adam's sports store has a contribution margin ratio of 55% and has already passed the break-even point for the year. if adam's generates additional sales of $250,000 by year-end, net operating income will increase by
Adam's sports store has a contribution margin ratio of 55% and has already passed the break-even point for the year. if adam's generates additional sales of $250,000 by year-end, net operating income will increase by 137,500 (250,000 x 55%).
Income is activities associated with selling or the number of goods bought in a given focused term. The transport of a provider for a value is likewise considered a sale. The seller, or the issuer of the products or offerings, completes a sale in response to an acquisition, appropriation, requisition, or an instantaneous interaction with the buyer at the factor of sale. There may be a passing of title (property or ownership) of the item, and the settlement of a rate, wherein settlement is reached on a fee for which a switch of possession of the item will occur. The seller, no longer the client, typically executes the sale and it can be finished previous to the obligation of payment. Inside the case of oblique interaction, a person who sells goods or carrier on behalf of the proprietor is called a salesperson or saleswoman or salesperson, but this frequently refers to someone selling items in a shop/shop, wherein case other terms are also not unusual, which includes salesperson, keep assistant, and retail clerk.
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suppose that a country imports $90 million worth of goods and services and exports $80 million worth of goods and services. what is the value of net exports? a. $10 million b. $170 million c. -$10 million d. $80 million
Consider a scenario in which a nation buys goods and services worth $90 million and exports them for $80 million. The net exports are valued at -$10 million.
What does a nation's net export mean?Total exports less total imports for a specific country is the definition of net exports. It is a method of determining the total outlays or GDP of a country in an open economy.
The balance of trade, commercial balance, or net exports refers to the difference between a nation's exports and imports in terms of dollar value over a given time period. It's sometimes made a point to distinguish between a trade balance for goods and one for services.
In the above question, given:
Imports= $90 million
Exports= $ 80 million
Net Export= Total Exports - Total Imports
Net Export= $ 80 million - $ 90 million
Net Export= -$10 million
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marquis company uses a weighted-average perpetual inventory system and has the following purchases and sales: august 218 units were purchased at $9 per unit.august 1823 units were purchased at $11 per unit.august 2920 units were sold.what is the amount of the cost of goods sold for this sale? (round average cost per unit to 2 decimal places.)
With weighted-average perpetual inventory system the amount of the cost of goods sold on 29th August is $197.40
According to the given table and weighted-average perpetual inventory system
The total cost of purchase on 2nd August was, 18×9=$162
The total cost of purchase on 18th August was, 23×11=$243
Total units purchased were, 18+23=41
Hence, the average cost of purchase of goods was,
Total cost ÷ Total items purchased
162+243 ÷ 41
$9.87
Therefore, the cost of selling goods is, average cost × total items.sold
9.87×20 $197.40
Hence, the amount of cost of goods sold for the sale is $197.40
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human capital includes: question 20 options: a) physical capital. b) the improvements to labor capabilities from training, education, and apprenticeship programs. c) labor. d) pension plans that enable early retirement.
Human capital includes b) the improvements to labor capabilities from training, education, and apprenticeship programs.
What is human capital?Human capital can be described as the capital that is been seen in the live of individuals throughout his lifetime these ca involves the knowledge as well as skills, and health.
It should be noted that this capital is been seen in the people and what they are have investing on throughout their lives, which gives them the ennoblement to realize their potential so that can be one of the productive members of society.
Therefore, option B is correct.
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__________ _________ compare alternatives by determing the qualitative factors that should be included as part of the decision, assigning weights related to their importance, and then ranking different alternatives to allow comparisons.
Qualitative and quantitative compare alternatives by determing the qualitative factors that should be included as part of the decision, then ranking different alternatives to allow comparisons.
Numbers are used to express measures of values or counts in quantitative data.
Data concerning numerical variables make up quantitative data (e.g. how many; how much; or how often).
A name, a symbol, or a numerical code can be used to represent qualitative data, which are measures of "types."
Data on categorical variables are considered qualitative data.
To acquire a complete picture of a population, qualitative and quantitative data are frequently combined because they produce distinct results. For instance, if annual income statistics (quantitative) are obtained, occupation data (qualitative) could also be collected to learn more specifics about the average annual income for each type of occupation.
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a firm plans to make investments of $5,000 for the next 10 years, paying the amount at the end of each year. this form of cash flow pattern represents a(n) .
B. The given scenario where a firm invests $5k for next 10 years An ordinary annuity is series of finite but equal cash flows which occur at the end of each period.
Net cash transactions are moved in and out of a business in the form of cash flow. It is a statement that depicts the financial activity of the company. An ordinary annuity is a series of limited but equal cash flows that happen at the beginning of each period as opposed to the series of finite but equal cash flows that happen at the conclusion of a regular annuity.
An annuity due, in which installments are made at the start of each period, is the opposite of a ordinary annuity. Despite being connected, these two payment schedules are not identical to the financial instrument known as an annuity.
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Complete Question:
A firm plans to make investments of $5,000 for the next 10 years, paying the amount at the end of each year. This form of cash flow pattern represents a(n) _____.
a.annuity due b.ordinary annuity c.immediate annuity d.uneven cash flow stream e.lump-sum payment
Is a travel agent a part of the primary, secondary or tertiary sector?
a travel agent is a secondary sector
which phrase best explains what a fiscal policy is, based on its use in this sentence from paragraph 6? one of germany's fiscal policies is to collect taxes in many stages during the production of items.
"A policy related to money and finances." is the phrase which best explains what is a Fiscal policy is.
What best describes a fiscal policy?Fiscal policy is basically the use of government spending and taxation to influenced the economy. Governments typically use fiscal policy to promote the strong and sustainable growth and minimize poverty.
What are the 3 goals of using fiscal policy?The goals of both fiscal and monetary policy is to achieve or maintained full employment, to achieve a high rate of economic growth, and to stabilized the prices and wages.
What is the importance of fiscal policy?Fiscal policy is a crucial tool for managing the economy as it has ability to affect the total amount of output produced , gross domestic product. The first impact of a fiscal expansion is to increase the demand for goods and services.
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regardless of whether variable costing or absorption costing is used, if quantity produced differs from quantity sold, income will be (similar, different, indeterminable).
Answer:different
Explanation:
in the middle of this decade, the united states imported about $800 billion more in goods and services than it exported, thereby resulting in a value of xn and a decrease in gdp.
Based on the story above, United States is resulting in a negative value of Xn and a decrease in GDP.
Gross domestic product or also known as GDP can be described as a monetary measure of the market value of all the final goods and services produced and sold in a specific time period by countries. Gross domestic product measure is often revised before being considered a reliable indicator due to its complex and subjective nature.
Negative value in economic can occur when demand for a product drops or supply increases to an extent that owners or suppliers are prepared to pay others to accept it, in effect setting the price to a negative number.
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swot analysis is a tool that you as managers and leaders will use to analyze external and internal situations. the external analysis are of and ; whereas, the internal analysis are of and .
An study of your business's internal and external environments is known as a SWOT analysis. Strengths and weaknesses come from Internal factors. Threats and opportunities come from External factors.
An evaluation of a company's competitive position and the development of strategic planning are both done using the SWOT (strengths, weaknesses, opportunities, and threats) analytical framework. SWOT analysis evaluates present and prospective future conditions as well as internal and external influences.
A SWOT analysis is created to provide a practical, fact-based, data-driven examination of the advantages and disadvantages of a business, strategies, or within its sector. By eliminating preconceived notions or gray regions and concentrating on real-life settings, the organization has to maintain the analysis correct. It should be used by businesses as a recommendation rather than as a strict requirement.
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during a(n) interview, the interviewer explores what the applicant has actually done in the past.
During a(n) open ended interview, the interviewer explores what the applicant has actually done in the past.
What is an interview and its purpose?
The interview is a conversation in which interviewer and an employer exchange information. The objective of interviewer is to get an offer of a job, and the employer objective is to find the offer which suits his skills and techniques.
What are the advantages of interviews?An interview is one of the best and easiest ways to find out how much you know about the company . Interviews are profitable for both parties, the employer and the applicant. It permits an employer to assess all of the applicant skills and knowledge to analyse whether he or she is a good to fit for the company.
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the aw values of three cost alternatives are $−23,000 for alternative a, $−21,600 for b, and $−27,300 for c. on the basis of these results, the decision is to
The AW upsides for the three expenditure alternatives are optional A ($23,300), B ($21,600), and C ($27,300). The decision is to choose elective B based on these results.
The operational costs a business bears in order to make money expenditure are referred to as expenses. Simply put, it is the amount of money necessary to acquire anything. According to a proverb, "making money costs money."
Paying suppliers, paying employees, leasing facilities, and depreciating equipment are examples of frequent AW costs. To reduce their taxable income and therefore their tax liability, businesses are permitted to deduct tax-deductible expenses on their income tax returns; however, expenditure the Internal Revenue Service (IRS) sets tight guidelines on which expenses firms are permitted to claim as a deduction.
In their income statements, businesses break out their revenues and costs. One of two accounting methods—cash basis or AW accrual basis—is used by accountants to record expenses. Costs are documented when they are paid in cash basis accounting. In contrast, expenses are recorded using the accrual technique as soon as they are incurred.
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The complete question is
The AW values of three cost alternatives are S-23,000 for alternative A, $-21,600 for B, and S 27,300 for C. On the basis of these results, the decision is to:
(a) select alternative A
(b) select alternative B
(c) select alternative C
(d) select the Do Nothing alternative
If taxable income is over-- But not over-- The tax is:
$0 $7,825 10 percent of the amount over $0
$7,825 $31,850 $782.50 plus 15 percent of the amount over 7,825
$31,850 $77,100 $4,386.25 plus 25 percent of the amount over 31,850
$77,100 $160,850 $15,698.75 plus 28 percent of the amount over 77,100
$160,850 $349,700 $39,148.75 plus 33 percent of the amount over 160,850
$349,700 no limit $101,469.25 plus 35 percent of the amount over 349,700
Use this tax table to find how much tax you need to pay on a taxable income of $25,000.
A.
$2,576.25
B.
$3,358.75
C.
$5,934.25
Based on the table on taxable income, the tax to be paid when one has a taxable income of $25,000 is B.$3,358.75
How to find the federal income tax?The United States federal government taxes people on a progressive basis which means that the higher one earns, the higher the taxes they will have to pay.
This is why the taxes that are paid on income will depend on the tax bracket that a person finds themselves in.
For a taxable income of $25,000, the taxable income will be based on the tax bracket : $7,825 to $31,850
In this tax bracket, the person will pay an income tax of $782.50 and then an additional sum which would be 15% of the amount over $7,825.
The taxable income of $25,000 will therefore have a tax of:
= 782.50 + (15% x (25,000 - 7,825))
= 782.50 + (15% x (17,175))
= 782.50 + 2,576.25
= $3,358.75
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in a blank , members of the channel pursue their own goals and maximize their own profits, regardless of the effect on other channel members. multiple choice question. corporate vertical marketing system conventional marketing channel strategic relationship jit system
Marketing channel pursues their own goals and maximizes their own profits, regardless of the effect on other channel members.
A marketing channel is the people, corporations, and sports that make goods and offerings available to be used by purchasers. It transfers the ownership of products from the point of manufacturing to the factor of consumption.
Extensively, the four foremost varieties of advertising and marketing channels are paid, free, virtual, and conventional channels. several marketing channels, which include social media, influencers, and paid ads, fall under these main advertising channels.
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use this information to answer to determine how many units must be sold: a total of 30,000 units were sold last year. the contribution margin per unit was $2, and fixed expenses totaled $20,000 for the year. this year fixed expenses are expected to increase to $26,000, but the contribution margin per unit will remain unchanged at $2. how many units must be sold this year to earn the same profit as was earned last year?
33,000 units must be sold this year to earn the same profit as earned last year.
It is given that, the contribution margin per unit will remain constant even though there is an increase in fixed cost.
We are not provided with the profits for any year.
But the fixed cost amount is provided. Previous year fixed cost = $ 20,000; Current year fixed cost = $ 26,000
There is an increase in the fixed costs of $6,000.
Profit earned in the previous year:
No. of units sold = 30,000; Contribution per unit = $2
Total contribution earned in previous year = $2 x 30,000 = $ 60,000
Fixed cost in previous year = $20,000
Profit = $60,000 - $ 20,000 = $ 40,000
Required:
Profit = $ 40,000;
Fixed cost = $26,000.
Total Contribution = Fixed Cost + Profit
Total Contribution = $ 26,000 + $ 40,000
Total Contribution = $ 66,000
Contribution per unit = $2 (Given)
Therefore, no. of units sold = Total Contribution / Contribution per unit.
No. of units sold = $66,000/$2
No. of units sold = 33,000 units.
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in order to implement a particular organizational strategy, managers must determine the right kind of organizational: (choose every correct answer.) multiple select question. structure demonstration culture performance
Managers must choose the appropriate organizational structure and culture before implementing a certain organizational plan.
What exactly are the organizational culture and structure?The organizational structure of an organization is in some ways defined by its organizational culture, but the culture is also somewhat defined by the structure. It is also possible to argue that while the culture determines how the business should be built, the structure serves as a framework for its implementation.
Why are corporate culture and structure important?By fostering a positive corporate culture, organizations can inspire their workforce, assist them in realizing their potential, and provide consistency and guidance. Long-term employees might not always be aware of organizational culture, despite the fact that it is a crucial aspect of a business.
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A car that originally cost $4,213 in 1955 is valued today at $72,000 if in excellent condition. Which is 214 times as much as a car in very nice condition—if you can find an owner willing to part with one for any price.
What would be the value of the car in very nice condition?
Answer:
2 because I got 2
Explanation:
jjjhubj
holloway incorporated manufactures plane engines. at the end of 2022, they had $3.7 billion in finished goods, $400 million in work-in-process, and $150 million in raw materials. what is holloway’s inventory total?
Holloway’s inventory total will be $4.25 billion. Thus, option A is correct.
What is manufacturing?Manufacturing is the process of taking raw materials or other resources and turning them into finished goods or other commodities. This allows the business to make money by selling these products.
The given data:
finished goods= $3.7 billion = 3700 million
work-in-process = $400 million
raw materials = $150 million
inventory total = finished goods + raw materials + work-in-process
= 3700 + 400 + 150
= $4250 million = $4.250 billion.
Therefore, option A is the correct option.
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The question is incomplete, the complete question will be:
A : $4.25 billion
B : $3.85 billion
C : $3.7 billion
D : $4.1 billion
acme corp. has a promotion strategy that involves promoting its widgets through personal selling and sales promotion to the wholesalers that handle its products. which channel promotion policy is acme using?
Channel promotion policy is acme using push policy.
What is policy?
A deliberate set of rules designed to direct behaviour and produce logical results is called a policy. A policy is a declaration of intent that is carried out through a procedure as well as protocol. Typically, a governance body within an organisation adopts policies. Both objective and subjective decision-making can benefit from policies. Policies in use in subjective decision-making typically assist senior management with choices that have to be based on the relative merits of a variety of factors, and as a result, are frequently challenging to test objectively. An example of a policy used in this manner is the work-life balance policy. Additionally, policies are present in governments and other institutions in the form of laws, rules, guidelines, administrative practises, rewards, and unofficial customs. Allocations of resources frequently reflect political choices. A policy is a blueprint for the repetitive and routine organisational activities.
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the profit on the sale of land between a parent and its subsidiary . group of answer choices can be partially realized if the value of land appreciates (i.e., increases) regardless of being sold to outsiders or not. none of these statements are true. is realized when the land is later sold to outsiders. both statements are true.
At the time of the arrive deal, both the dealer and buyer account for the exchange as in the event that it were entered into with an irrelevant commerce.
What Is the Impact of the Intercompany Deal of Arrive on Solidified Net Income?
When a gather of two or more businesses is required to report money related comes about on a solidified premise, for the most part acknowledged bookkeeping standards, or GAAP, require the end of intercompany deals amid the combination prepare. Disposing of the intercompany deal of arrive has an prompt impact on the sum of solidified net salary detailed on the benefit and misfortune explanation. The fundamental disposal sections can influence future solidified net salary in case the arrive is ever sold to an disconnected party.
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countries with very low physical capital levels will receive a greater return to an additional unit of capital than countries with high initial physical capital levels. what is this called?
Countries with very low physical capital level are have decreasing marginal returns to factors of production. That condition can occur when an extra additional production unit produces a reduced level of output.
Diminishing returns in economics can be defined as the decrease in marginal output of a production process as the amount of a single factor of production is incrementally increased, holding all other factors of production equal. There are several factors that can caused diminishing return, such as lower levels of productivity, negative impact on the working environment, fixed costs, limited demand, and also short run.
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combination strategies, such as combining differentiation and low cost, makes it easier for rivals to imitate because it is harder for the primary firm to provide value. true false
Combination strategies, similar as integrating overall low cost and isolation, makes it easier for rivals to duplicate or imitate because it's harder for the primary establishment to give value. ---- False
What's combination strategy in operation?A combination strategy employ any certain combination of other master strategies. It correspond of use by a establishment of a different strategy in individual business units or by use of multiple strategies in a single business unit at the same times.
Why combination strategy is espoused?Combination Strategy is espoused to blend growth, retrenchment, and stability strategies and use them across a pot's business units.
What's corporate strategy?When easily defined, a corporate strategy will work to establish the overall value of a business, set strategic pretensions and motivate workers to achieve them. It's a nonstop process that should be precisely acclimatized to respond meetly to changing conditions in the business
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Given what happens to the price buyers pay and the price sellers ultimately receive after a subsidy is granted to sellers, what happens to the level of consumer and producer surplus after the subsidy takes effect?.
Consumer surplus and producer surplus increases to the level of consumer and producer surplus after the subsidy takes effect.
Government benefits are known as subsidy and are often financial in nature.
The government absolves some manufacturers of tax liability in the event of tax pardons. However, when it comes to cash transfers, the government gives money to specific manufacturers of certain items in order to increase the supply of those goods. Consumer surplus is increased as a result of subsidy. This is due to the fact that the consumer surplus reflects the discrepancy between what customers are prepared to pay and what they ultimately end up paying for the good. This results from the arbitrary value we place on goods we buy. The gap between customers' willingness to pay and actual prices for a good or service is known as the consumer surplus.
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a decrease in the money supply might indicate that the fed had a. purchased bonds in an attempt to increase the federal funds rate. b. purchased bonds in an attempt to reduce the federal funds rate. c. sold bonds in an attempt to increase the federal funds rate. d. sold bonds in an attempt to reduce the federal funds rate.
The Fed may have sold bonds in an effort to lower the federal funds rate if there was a decline in the money supply.
A bond is a fixed-income investment that simulates a loan from a shareholder to a borrower (typically corporate or governmental). An I.O.U. between the lender and borrower that specifies the terms of the loan and its instalments is what is meant by a bond. Businesses, local governments, states, and other types of government use bonds to finance their operations and capital expenditures. The holders of bonds are the issuer's creditors or debtors.
Bond specifics typically include the conditions for the borrower's variable or fixed interest payments as well as the end date by which the loan's principal is needed to be paid to the bond owner.
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the ivy league schools defended their price-fixing arrangement by arguing that their coordination assured a fair distribution of scholarship aid. who was hurt or helped by this arrangement?
The best students were helped by this arrangement.
The finest candidates would very certainly receive significantly higher financial assistance packages if the Ivy League institutions were to compete for students.
Without this competition, schools can assign students before deciding what scholarships to offer the students for their own financial gain. The significance of non-price competition frequently gets lost in the relevance of competing through providing higher scholarships (non-scholarship ways to attract students)
A price fixing agreement is any written, verbal, or action-based agreement between competitors to increase, decrease, maintain, or stabilize prices or price levels. According to antitrust rules, every company must independently decide on its pricing and other competitive factors without contacting a rival.
Price fixing is an anticompetitive agreement by market participants on the same side to buy or sell a good, service, or commodity only at a predetermined cost, or to keep the market's dynamics such that the price is controlled by regulating supply and demand.
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at 47 units of labor, a firm finds that average product of labor equals 39.6 and marginal product of labor equals 32.9. we can conclude that the average product curve at 47 units of labor is: upward-sloping. horizontal. vertical. downward-sloping.
We can conclude that the average product curve at 47 units of labor is downward sloping.
Option D is correct.
What is marginal product with example?Marginal product is referred to as the change in output observed with per unit change of an input while putting all other factors of input constant. Example: Labour, materials etc.
What is product curve?Product curves shows the relationship between output and the quantity of a factor; they have the factor quantity on the horizontal axis. Cost curves shows how costs vary with output and have output on the horizontal axis.
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april 2 nozomi invested $35,000 cash and computer equipment worth $35,000 in the company in exchange for its common stock. april 3 the company rented furnished office space by paying $2,500 cash for the first month’s (april) rent. april 4 the company purchased $1,800 of office supplies for cash. april 10 the company paid $2,880 cash for a 12-month insurance policy. coverage begins on april 11. april 14 the company paid $1,000 cash for two weeks' salaries earned by employees. april 24 the company collected $14,000 cash for commissions revenue. april 28 the company paid $1,000 cash for two weeks' salaries earned by employees. april 29 the company paid $350 cash for minor repairs to computer equipment. april 30 the company paid $900 cash for this month's telephone bill. april 30 the company paid $1,580 cash in dividends.
The Journal entry is the process of maintaining the records of transaction that takes place in the organization. The below are given journal entries of above-mentioned transactions.
The journal entries will be:
1) Dr. Cash $35,000
Dr. Computer Equipment 35,000
Cr. Capital $70000
(Cash and computer equipment invested)
2) Dr. Rent Expense $2,500
Cr. Cash $2,500
(Rented space)
3) Dr. Office Supplies $ 1,800
Cr. Cash $ 1,800
(Company purchased supplies)
4) Dr. Prepaid Insurance $2,880
Cr. Cash $2,880
(Company purchased insurance policy)
5) Dr. Salaries Expense $1,000
Cr. Cash $1,000
(Paid salaries)
6) Dr. Cash $14,000
Cr. Commissions Earned $14,000
(Commission earned)
7) Dr. Repairs Expense $350
Cr. Cash $350
(Payment made for repairs)
8) Dr. Telephone expense $900
Cr. Cash $900
(Paid telephone bill)
9) Dividend paid $1580
To cash $1580
(Payment of dividend)
The complete question is here:
On April 2 Nozomi invested $35,000 cash and computer equipment worth $35,000 in the company in exchange for its common stock. April 3 the company rented furnished office space by paying $2,500 cash for the first month’s (April) rent. April 4 the company purchased $1,800 of office supplies for cash. April 10 the company paid $2,880 cash for a 12-month insurance policy. coverage begins on April 11. April 14 the company paid $1,000 cash for two weeks' salaries earned by employees. April 24 the company collected $14,000 cash for commissions revenue. April 28 the company paid $1,000 cash for two weeks' salaries earned by employees. April 29 the company paid $350 cash for minor repairs to computer equipment. April 30 the company paid $900 cash for this month's telephone bill. April 30 the company paid $1,580 cash in dividends. Form the journal entries of above transactions.
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4. (12) negate the following quantified statements (give answers in english): a. no dogs are viscious. b. some ski resorts also offer mountain biking.
By negating the following quantified statements option a will be false and option b will be true.
Negation is when a sentence is nullified by adding a negative word. Quantifiers refer to words used in sentences to give information about quantities of something.
Negation of the quantified statements is from the left to right side of the sentence. In option a, the sentence is already negative but it is a false statement. Therefore, the statement will be negated as 'not all dogs are vicious.
In option b, the sentence will be negated as 'not all ski resorts offer mountain biking. It is a true statement so the meaning remains unchanged even after negation.
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