Which form of business having Unlimited liability?

a.
Sole proprietor business

b.
Corporate business

c.
None of the above

d.
Partnership business

Answers

Answer 1

Answer:

A

Explanation:

Within a sole proprietorship, the single business owner is subject to bankruptcy and even loosing personal belonging to debt if things go wrong. So this form has unlimited liability.

Answer 2
Answer letter choice A

Related Questions

1. You have a portfolio that is invested 21% in Stock A, 34% in Stock B, and 45% in Stock C. The betas of the stocks are .66, 1.21, and 1.50, respectively. What is the beta of the portfolio? a. 1.17.b. 1.12.c. 1.38.d. 1.00.e. 1.23.2. The risk-free rate is 3.7% and the market expected return is 11.6%. What is the expected return of a stock that has a beta of 1.22?

Answers

Answer:

1.

Portfolio Beta = 1.225 rounded off to 1.23

Option e is the correct answer.

2.

r = 0.13338 or 13.338% rounded off to 13.34%

Explanation:

1.

The portfolio beta is a function of the weighted average of the individual stocks' betas that form up the portfolio. To calculate the beta of a portfolio, we use the following formula,

Portfolio Beta = wA * Beta of A  +  wB * Beta of B  + ... + wN * Beta of N

Where,

w is the weight of each stock

Portfolio Beta = 0.21 * 0.66  +  0.34 * 1.21  +  0.45 * 1.5

Portfolio Beta = 1.225 rounded off to 1.23

2.

Using the CAPM, we can calculate the required rate of return on a stock. This is the minimum return required by the investors to invest in a stock based on its systematic risk, the market's risk premium and the risk free rate.

The formula for required rate of return under CAPM is,

r = rRF + Beta * (rM - rRF)

Where,

rRF is the risk free rate

rM is the market return

r = 0.037  +  1.22 * (0.116 - 0.037)

r = 0.13338 or 13.338% rounded off to 13.34%

Naomi complains to Andy that he "hasn’t been here – until now, when we’re in crisis mode." Based on this statement, Andy is most likely viewed as a(n) ________ leader by Naomi.

a. passive management by exception
b. active management by exception
c. transformational
d. laissez-faire
e. contingent reward

Answers

Answer: a. passive management by exception

Explanation:

Even though this might sound like it is laissez-faire leadership, it is not.

This is a passive management by exception leadership style and a leader that does this is usually inactive and absent from their duties unless mistakes are being made or crisis are popping up that need to be fixed. They will then spring into action to mitigate the adverse effects of their absence.

This is different from laissez-faire leadership because in laissez-faire, the leader is simply absent even during crisis.

Based on the given statement, it is the passive management by exception that leader by Naomi.

The following information should be considered related to the  passive management by exception :

In this, the leader is not active also it is absent from the duties until the mistakes should be made or the crisis should be popping up the requirement to be fixed. After this, there is the transformation of the spring into action for decreasing the opposite impacts.

Therefore we can conclude that the correct option is a.

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EXERCISE 5–2 Prepare a Cost-Volume-Profit (CVP) Graph LO5–2 Karlik Enterprises distributes a single product whose selling price is $24 per unit and whose variable expense is $18 per unit. The company’s monthly fixed expense is $24,000. Required: 1. Prepare a cost-volume-profit graph for the company up to a sales level of 8,000 units. 2. Estimate the company’s break-even point in unit sales using your cost-volume-profit graph.

Answers

Answer:

Cost volume profit analysis (CVP) refers basically to determining the break-even point of a company and how we can use that information to predict how different changes might affect it. When you are performing a CVP analysis you have to decide which variables will be constant, i.e. ceteris paribus, and which will be altered to predict the effect on the company’s operating income.

1)

sales level     total revenue    variable costs      fixed costs      total costs

2,000             48,000             36,000                 24,000            60,000

4,000             96,000             72,000                 24,000            96,000

6,000            144,000           108,000                 24,000           132,000

8,000            192,000           144,000                 24,000           168,000

2) break even point = 4,000 units

When the price volume profit analysis (CVP) refers basically to determine the break-even point of a corporation and also how we will use that information to predict how different changes might affect it. after you are performing a CVP analysis you've got to come to a decision which variables are going to be constant that's ceteris paribus, and also which is able to be altered to predict the effect on the company’s operating income.

1) Cost volume

sales level     total revenue    variable costs      fixed costs      total costs

2,000             48,000             36,000                 24,000            60,000

4,000             96,000             72,000                 24,000            96,000

6,000            144,000           108,000                 24,000           132,000

8,000            192,000           144,000                 24,000          168,000

2) thus, reach point = 4,000 units

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Wexim Toys sold merchandise to a customer on credit, terms 2/10, n/30 for $11,700. Three days later, the customer returned $2,300 of the merchandise. When recording the return transaction, Wexim Toys would record:__________
a) $2,300 in the Accounts Payable Cr. column and $2,300 in the Inventory Dr. column of the purchases journal. b) Debit Sales Returns and Allowances $2,300 and credit Accounts Receivable $2,300 in the general journal. c) $2,300 in the Cash Dr. column and $2,300 in the Inventory Cr. column in the cash receipts journal. d) Debit Cash $2,300 and credit Inventory $2,300 in the general journal. e) $2,300 in the Accounts Payable Dr. column and $2,300 in the Cash Cr. column of the cash payments journal.

Answers

Answer:

b) Debit Sales Returns and Allowances $2,300 and credit Accounts Receivable $2,300 in the general journal.

Explanation:

When goods were sold on account,  Accounts receivables is debited, and  Sales is credited.  When goods are returned,  Sales Return & Allowances is debited, and  Accounts receivables is credited.

Thus, the entry will include Debit in Sales Returns and Allowances $2,300 and Credit  in Accounts Receivable $2,300

Hayden Company currently sells widgets for $160 per unit. The variable cost is $60 per unit and total fixed costs equal $240,000 per year. Sales are currently 40,000 units annually, and the income tax rate is 40 percent. Required: a. Calculate the contribution margin per unit. b. Calculate break-even in units. c. Calculate break-even in sales dollars d. Calculate the current after-tax net income. e. The company is considering a 10% drop in the selling price that it believes will raise units sold by 15%. Assuming all costs stay the same, what is the impact on income if this change is made? f. How many units need to be sold to earn a pre-tax operating income of $100,000?

Answers

Answer:

a. $100

b. 2,400 units

c. $380,952

d. $2,256,000

e. 15.90 %

f. 3,400 units

Explanation:

Contribution margin per unit

Contribution margin per unit = Sales per unit  less Variable Cost per unit

Therefore,

Contribution margin per unit = $160 - $60

                                                = $100

Break-even in units

The Breakeven units is the level of activity where a firm makes neither a profit nor a loss.

Break-even in units = Fixed Cost ÷ Contribution margin per unit

Therefore,

Break-even in units = $240,000 ÷ $100

                                 = 2,400 units

Break-even in sales dollars

Break-even in sales dollars = Fixed Cost ÷ Contribution margin ratio

Where,

Contribution margin ratio = Contribution margin ÷ Sales

                                           = $100 ÷ $160

                                           = 0.63

Therefore,

Break-even in sales dollars = $240,000 ÷ 0.63

                                              = $380,952

After-tax net income

Contribution ( $100 × 40,000 )    $4,000,000

Less Fixed Cost                             ($240,000)

Next Income Before Tax              $3,760,000

Less Income tax at 40 %             ($1,504,000)

Net Income After Tax                   $2,256,000

Effect of the Change on Income

First, calculate the Degree of Operating Leverage (DOL).

The DOL shows the times Net Income Before Interest and Tax will change as a result of a change in sales contribution.

Degree of Operating Leverage (DOL) = Contribution ÷ Net Income

Therefore,

Degree of Operating Leverage (DOL) = $4,000,000 ÷ $3,760,000

                                                               = 1.06

Effect on Income using the DOL = 1.06 × 15% = 15.90 %

Therefore Net Income would also increase by 15.90 %.

Units to be sold to earn an income of $100,000

Units to Earn a Target Profit = (Fixed Costs + Target Profit) ÷ Contribution margin per unit

Therefore,

Units to be sold to earn an income of $100,000 = ($100,000 + $240,000) ÷ $100

                                                                                = 3,400 units

A monopoly that attempts to charge the socially desirable price will invariably reduce their economic profit because:_______

a. price and marginal cost is higher than marginal revenue.
b. marginal cost is equal to zero.
c. price is lower than marginal cost.
d. average cost and marginal cost are equal.

Answers

Answer:

D

Explanation:

A monopoly that attempts to charge the socially desirable price will invariably reduce their economic profit because average cost and marginal cost are equal.

Answer:

The correct choice is -  Price is equal to the Marginal Cost.

Explanation:

Socially desirable price refers to the point on the graph where the demand (D) stands equal to or intersects the marginal cost (MC). That is MC = D.

The challenge with setting prices like this is that the business in arriving at the price of its product(s) and or service(s) has not taken into consideration the fixed cost to the business. To breakeven, the owner of a business must know its Average Total Cost (which takes into consideration both marginal and fixed costs) and set its prices equal to same. To make a profit however the business must set its prices above the Average Total Cost.

Recall that ATC = MC +  F/Q where

ATC = Average Total Cost

MC = Marginal Cost

F = Fixed Cost

Q =  Quantity of goods produced

D =  Quantity of goods demanded

Cheers

Click this link to view O*NET's Work Activities section for Architects. Note that common activities are listed toward the
top, and less common activities are listed toward the bottom. According to O*NET, what are common work activities
performed by Architects? Check all that apply.
repairing and maintaining mechanical equipment
communicating with persons outside of the organization
drafting, laying out, and specifying technical devices, parts, and equipment
using dynamic flexibility to repeatedly bend, stretch, or twist with arms or legs
using night vision and peripheral vision
making decisions and solving problems
thinking creatively

Answers

Answer:

communicating with persons outside of the organization

drafting, laying out, and specifying technical devices, parts, and equipment

making decisions and solving problems

thinking creatively

Answer:

B, C, F, G

Explanation:

See attachment

A firm is deciding between two different sewing machines. Technology A has fixed costs of $500 and marginal costs of $50 whereas Technology B has fixed costs of $250 and marginal costs of $100. At what quantity is the firm indifferent between the two technologies?

Answers

Answer: 5 units

Explanation:

Use equations.

Cost of Producing with Tech A;

= 500 + 50Q

Cost of Producing with Tech B;

= 250 + 100Q

Point of indifference;

500 + 50Q = 250 + 100Q

500 - 250 = 100Q - 50Q

50Q = 250

Q = 5 units

Why is Apple’s industry so competitive and how could this affect the ethical risks in Apple’s operations?

Answers

Answer:

Apple industry is the consumer goods technological sector.

Explanation:

This sector is very competitive because it tends to be very profitable, which means that it attracts a large number of skilled entrepreneurs and wokers who create high quality products that customers demand. This is specially true of the mobile phone sub-sector, with industry giants like Samsung and Huawei being in stiff competition with Apple.

Because of this, Apple faces several ethical risks: for one, it faces the risk of not practicing predatory pricing techniques like dumping in order to drive out competition, because this would be unfair not only to the other firms, but also to the other companies.

Another ethical risks would be more relevant for managers, and that is that managers should avoid to overestimate their ability to increase profits, because this may create false expectations on the board, on stockholders, and on the customers, leading to malinvestment, and other negative eocnomic consequences.

In 2007, the price of oil increased, which in turn caused the price of natural gas to rise. This can best be explained by saying that oil and natural gas are:_______.A. Complements and the higher price for oil increased the demand for natural gas. B. Complements and the higher price for oil decreased the supply of natural gas. C. Substitutes and the higher price for oil increased the demand for natural gas. D. Substitutes and the higher price for oil decreased the supply of natural gas. E. Unrelated and the prices of both products increased because of increased reliance on fossil fuels.

Answers

Answer:

C. Substitutes and the higher price for oil increased the demand for natural gas.

Explanation:

In 2007, the price of oil increased, which in turn caused the price of natural gas to rise. This can best be explained by saying that oil and natural gas are substitutes and the higher price for oil increased the demand for natural gas.

Substitute goods are goods that can be used in place of another good because they serve the same purposes.

The demand for goods is said to be elastic, when the quantity of goods demanded by consumers with respect to change in price is very large. Thus, the more easily a consumer can switch to a substitute product in relation to change in price, the greater the elasticity of demand.

Generally, consumers would like to be buy a product as its price falls or become inexpensive.

For substitute products (goods), the price elasticity of demand is always positive because the demand of a product increases when the price of its close substitute (alternative) increases.

Mary Alice just won the lottery and is trying to decide between the options of receiving the annual cash flow payment option of $420,000 per year for 25 years beginning today, or receiving one lump-sum amount today. Mary Alice can earn 6% investing this money. At what lump-sum payment amount would she be indifferent between the two alternatives? (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided and round final answer to nearest whole dollar amount.)A. $5,369,011B. $6,111,151C. $5,691,151D. $10,500,000

Answers

Answer:

C. $5,691,151

Explanation:

At what lump-sum payment amount would she be indifferent between the two alternatives?

Mary Alice just won the lottery and is trying to decide between the options of receiving the annual cash flow payment option of $420,000

$420,000 x 13.55036* = $5,691,151

*PVAD of $1: n = 25; i = 6%

You are starting your own small business in Albuquerque. You borrow $10,000 from the bank at a 9% rate for 5 years. What is the total amount you will pay on this loan.

Answers

Answer:

4,500

Explanation:

Use the I=PRT method to help

P=10,000      T=5 years     R=9%=9/100=0.09

this is going to be your equation

I=10,000 x .09 x 5

multiply you t x r

it should now look like this,

I=10,000 x .45

now the last thing to do is just multiply them both.

you should get,

I=4500

If the net present value of a project is positive (non-zero), then the project's:________.a) PI will be less than 1. b) internal rate of return will exceed its required rate of return. c) costs exceed its benefits. d) discounted payback period will exceed the life of the project. e) payback period must equal the life of the project.

Answers

Answer:

b) internal rate of return will exceed its required rate of return.

Explanation:

The internal rate of return is the discount rate at which the NPV = 0. If the NPV is positive when calculated using the project's discount rate, then the IRR is going to be higher than the discount rate.

Option A is wrong because the profitability index (PI) of a project is calculated by dividing the present value of its cash flows by its cost. If the NPV is positive, it means that the present value of its cash flows will be greater than the costs, so the pI will be more than 1.

Option C is wrong because if the costs exceed the benefits, then the NPV will be negative.

Option D is wrong because that would mean that the NPV is negative.  

Option E is something made up that doesn't make any sense.

Controllable margin is defined as A.sales minus variable costs. B.sales minus contribution margin. C.contribution margin less controllable fixed costs. D.contribution margin less noncontrollable fixed costs.

Answers

Answer:

answer d is correct is correct

Waterway Industries purchased machinery for $905000 on January 1, 2017. Straight-line depreciation has been recorded based on a $52000 salvage value and a 5-year useful life. The machinery was sold on May 1, 2021 at a gain of $13000. How much cash did Waterway receive from the sale of the machinery?

Answers

Answer:

$ 178,733  

Explanation:

From January 2017 when the machinery was acquired till May 1 2021  when it disposed of, depreciation would have been charged for full years 2017,2018,2019 and 2020 while 2021 depreciation would only be for 4 months.

Annual depreciation=cost-salvage value/ useful life

annual depreciation=($905000-$52000)/5=$170,600  

depreciation for 4 years=$170,600*4=$682,400

depreciation for 4 months=$170,600*4/12=$56,867  

accumulated depreciation=$682,400+$56,867=$739,267  

carrying value=cost-accumulated depreciation= $905000- $739,267 =$165,733  

gain on disposal=cash proceeds-carrying value

$13000=cash proceeds-$165,733  

cash proceeds=$165,733 +$13000=$ 178,733  

Amy is single. During 2020, she determined her adjusted gross income was $12,000. During the year, Amy also contributed $2,500 to a Roth IRA. What is the maximum saver's credit she may claim for the year

Answers

Answer:

$1,000

Explanation:

Calculation for the maximum saver's credit she may claim for the year

For us to know the maximum saver's credit amount that she may claim for the year we have to know the standard maximum contribution amount that is eligibe for the maximum saver's credit which is the amount of $2,000 and then we multiply the amount by the standard filing status and AGI percentage which is 50%

Hence:

Maximum saver's credit=$2,000*50%

Maximum saver's credit=$1,000

Therefore the maximum saver's credit she may claim for the year will be $1,000

what is your view about credit cards in America? Do you think it serves the best interest of Americans or not and why?

Answers

i live in america, and no i don’t think it serves the best interest of americans in my opinion. people can open several credit cards, and they can almost become bankrupt from it.
I live in American and I think it does not serve interest because I would rather have paper money and know exactly how much I have without having to go to the ATM

A potential obligation that depends on the future outcome of past events is a contingent liability. true false

Answers

Answer:

TRUE

Explanation:

A potential obligation that depends on the future outcome of past events is a contingent liability!

- An obligation is something that is to be done

- A potential obligation is a thing or activity that is among the options of stuff that can be done

- When something depends on the future outcome of past events, it introduces or carries with it, the cost of waiting (for future outcomes)

- A contingent liability is something that poses probability of loss instead of gain. The opposite of liability is asset.

So in business, a potential obligation or action that depends on the future outcome of past events is a contingent loss rather than gain.

The PE ratio: Assuming Net Income for the year is $250,000, what is the net cash flows from operating activities given the following information: Increase in Salaries Payable $ 19,500 Depreciation Expense $ 9,500 Increase in Prepaid Rent $ 27,500 Loss on sale of asset $ 1,250 Increase in Accounts Payable $ 29,500 Increase in Inventory $ 93,000 Multiple Choice

Answers

Answer:

Net operating cash flow = $189,250

Explanation:

Particulars                                    Amount$

Net income                                    250,000

Add:depreciation expense           9,500

Add:loss on sale of asset              1,250

Add:increase in salary payable    19,500

Less:increase in prepaid rent       (27,500)

Add:increase in AP                        29,500

Less:increase in inventory            (93,000)

Net operating cash flow              $189,250

On January 1, 20XA, Tie Company purchased a machine that had a sticker (list) price of $22,000. The seller agreed to allow Tie Company to pay for the machine over a three-year period at 10% interest on the unpaid balance and with equal payments of $8,444 due at the end of 20XA, 20XB, and 20XC. The amount that should be debited to the asset account, Machinery, on the day the contract was initiated is (rounded to the nearest dollar)A) $27,865.B) $25,332.C) $22,000.D) $20,999.E) None of the above is correct.

Answers

Answer:

I cant understand that question

The amount that should be debited to the asset account, Machinery, on the day the contract was initiated is  $22,000. Option C is correct.

What is Machinery?

Land, machinery, vehicles, furniture, computer equipment, buildings, and other equipment are examples of fixed assets. Depending on how a corporation conducts business, fixed assets can vary.

Machinery is a noncurrent asset, often known as a fixed asset. A long-term investment made by your organization that is unlikely to or does not easily convert to cash within an accounting year is referred to as a noncurrent asset.

Therefore if a machinery has been acquired on credit and the payment will be made in three equal installment payable annually then the asset shall be recognized at cost of acquisition i.e. $22000 original cost requiring the asset to bring in it present and current location and condition.

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(Cost of debt) Sincere Stationery Corporation needs to raise $500,000 to improve its manufacturing plant. It has decided to issue a $1,000 par value bond with a 14 percent annual coupon rate and a 10-year maturity. The investors require a 9 percent rate of return. a. Compute the market value of the bonds. b. What will the net price be if flotation costs are 10.5 percent of the market price?

Answers

Answer:

a. $1,320.88

b.  $1,182.19

Explanation:

The computation is shown below:

a. For market value of the bond

Given that

Rate = 9%

NPER = 10

PMT = $1,000 * 14% = $140

FV = $1,000

The formula is shown below:

= -PV(RATE;NPER;PMT;FV;TYPE)

After applying the above formula, the present value is $1,320.88 i.e. equivalent to the market value of the bonds

b. Now the net price be

= Market price × (1 - flotation cost)

= $1,320.88 × (1 - 0.105)

= $1,182.19

Which type of supply chain collaboration includes collaborative processes across the supply chain using a set of processes and technology models including a joint business plan, sales forecasting, order planning and forecasting, order generation, and order fulfillment?

Answers

Answer:

Collaborative Planning, Forecasting and Replenishment (CPFR)

Explanation:

Supply chain management can be defined as the effective and efficient management of the flow of goods and services as well as all of the production processes involved in the transformation of raw materials into finished products that meet the insatiable want and need of the consumers. Generally, the supply chain management involves all the activities associated with planning, execution and supply of finished goods and services to the consumers.

The fundamental principle of supply chain management is basically a collaboration between multiple firms. These multiple firms include a company that is saddled with the responsibility of manufacturing, a wholesaler, and a retailer who typically sells the products to the customers or consumers.

Basically, these three (3) firms or individuals are required to collaborate with each other so as to meet the needs of the customers in a timely manner or fashion and at a fair price too.

Collaborative Planning, Forecasting and Replenishment (CPFR) is a type of supply chain collaboration which includes collaborative processes across the supply chain using a set of processes and technology models including a joint business plan, sales forecasting, order planning and forecasting, order generation, and order fulfillment.

Demand forecasting is the process of creating statements about ____________ of demand that are ______________.

a. future realizations, currently uncertain
b. current uncertainties, future realized
c. current realizations, future realized
d. future uncertainties, currently realized

Answers

Answer:

a. future realizations, currently uncertain

Explanation:

Demand forecasting is the process where the demand is forecasted based on the past sales so that the estimation of the customer demand could be done. It tells the value of the goods and services that the customer will buy in near future

So according to the given options, the first option is correct as it is based on the future i.e. totally uncertain

Therefore the first option is to be chosen

Costs that can be traced to a cost object in a cost-effective way are called direct costs.
a) true
b) false

Answers

Answer:

a) true

Explanation:

Costs that can be traced to a cost object in a cost-effective way are called direct costs. Sometimes they can literally be seen on the cost object by observation. For example the wood on the table.

A company is 49% financed by risk-free debt. The interest rate is 8%, the expected market risk premium is 6%, and the beta of the company’s common stock is .59. a. What is the company cost of capital? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Cost of capital

Answers

Answer: 9.81%

Explanation:

Cost of capital = (cost of debt * weight of debt) + ( cost of equity * weight of equity)

Cost of Equity = Risk free rate + beta * Market risk premium

= 8% + 0.59 * 6%

= 11.54%

Cost of capital = (8% * 49%) + (11.54% * 51%)

= 9.81%

Alison was just hired around the Grand Stores. She soon learned that all new hires in the company are required to go through mandatory health and drug testing. She consulted her superiors and found that this was not a breach of her privacy right. Which reason for such testing would NOT qualify as a breach of Alisons privacy rights?

A. Pre-employment condition
B. Vacation allotment
C. Fitness for duty
D. Personality assessment

Answers

Answer:

A. Pre-employment condition

Explanation:

The answer is A. because if the testing is a requirement for getting the job then you know beforehand. You're aware of this requirement before they employ you so it's not breaching your privacy rights.

Answer:

a

Explanation:

The company can allow whoever they want into the company and it is their choice to test their employees for drugs.

Which are Career and Technical Student Organizations? (Check all that apply.)
Business Professionals of America
American Association of School Administrators
American Chemical Society
UDECA
Future Business Leaders of America
FFA
Skills USA
FCCLA
Will give brainliest! 50 points!!!

Answers

Answer:

Answer:

Business Professionals of America

American Association of School Administrators

DECA

Future Business Leaders of America

Explanation:

Hope it helps your question!

Answer:

A,B,D,E

Explanation:

A company reported the following amounts and balances: Beginning capital balance $45,000, Net Sales $420,000, Cost of Goods Sold $273,000, Total Expenses $112,000, Net Income $35,000, Ending Cash Balance $22,000, Withdrawals $7,200, Ending Accounts Receivable $27,000. What is the Ending Capital Balance?
a. $94,600
b. $38,200
c. $72,800
d. $49,600

Answers

Answer:

c. $72,800

Explanation:

ending capital balance = beginning capital balance + net income - withdrawals = $45,000 + $35,000 - $7,200 = $72,800

Ending capital balance refers to total owners' capital balance after the accounting period is closed. Net income increases owners' capital while withdrawals or dividends decrease it.

If fruit vendors in India had consumed one less cup of tea per day and invested the money in their business, their income at the end of the day would have been _______ after thirty days.

Answers

Answer: Lesser

Explanation:

Despite it might not looks noticeable but shortage really affects production or business, especially when it's done consistently. The amount of reduction it would experience at the end of the month would be tremendous compared to the thought that it's just a little cup of tea.

A ball rolls across a floor with an acceleration of 0.100 m/s2 in a direction opposite to its velocity. The ball has a velocity of 4.00 m/s after rolling a distance 6.00 m across the floor. What was the initial speed of the ball?a. 4.15 m/s.
b. 5.85 m/s.
c. 4.60 m/s.
d. 5.21 m/s.
e. 3.85 m/s.

Answers

Answer:

a. 4.15 m/s.

Explanation:

Given the following data;

Acceleration, a = -0.100 because it's in the opposite direction.

Final velocity = 4

Distance = 6

To find the initial velocity of the ball, we would use the third equation of motion;

[tex] V^{2} = U^{2} + 2aS [/tex]

Where;

V represents the final velocity measured in meter per seconds. U represents the initial velocity measured in meter per seconds. a represents acceleration measured in meters per seconds square. S represents the displacement measured in meters.

[tex] V^{2} = U^{2} + 2aS [/tex]

Making U the subject, we have;

[tex] U^{2} = V^{2} - 2aS [/tex]

Substituting into the equation, we have;

[tex] U^{2} = 4^{2} - 2*(-0.100)*(6) [/tex]

[tex] U^{2} = 16 + 1.2 [/tex]

[tex] U^{2} = 17. 2[/tex]

Taking the square root of both sides;

U = 4.147m/s ≈ 4.15m/s

Therefore, the initial speed of the ball is 4.15m/s.

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