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 1

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.


Related Questions

What is the equity beta for a firm with asset beta equal to 0.9, and D/E ratio of 0.4, and tax rate equal to 35%?

Answers

Answer:

the equity beta of the firm is 1.134

Explanation:

The computation of the equity beta is shown below:

Equity beta is

= Asset beta × [1 + (1 - tax rate) × Debt-equity ratio]

= 0.9 × [1 + (1 - 0.35) × 0.4]

= 0 9 × 1.26

= 1.134

Hence, the equity beta of the firm is 1.134

We simply applied the above formula so that the correct value could come

And, the same is to be considered

True or False: If Nick's Fire Engines were a competitive firm instead and $80,000 were the market price for an engine, decreasing its price from $80,000 to $60,000 would result in a decrease in the production quantity, but an increase in total revenue.

Answers

False. As the market price for a good falls the demand rises for a product. Hence the the production quantity of a good will rise long with total revenue, as revenue is the summation of costs and profits.

A company had total sales of $610,000, net sales of $566,400, and an average accounts receivable of $96,000. Its accounts receivable turnover equals:

Answers

Answer:

5.9

Explanation:

Calculation for It's accounts receivable turnover using this formula

Accounts Receivable Turnover = Net Sales amount /Average Accounts Receivable amount

Let plug in the formula

Accounts Receivable Turnover =$566,400/$96,000

Accounts Receivable Turnover = 5.9

Therefore Its accounts receivable turnover equals: 5.9

In contrast, suppose that the CPI was 110 last year and is 108 this year. What is this year’s inflation rate? In contrast, suppose that the CPI was 110 last year and is 108 this year. What is this year's rate of inflation? What term do economists use to describe this second outcome?

Answers

Answer and Explanation:

The computation is shown below:

The Rate of inflation is

= (CPI this year - CPI last year) ÷ (CPI last year) × 100

= (121 - 110) ÷ 110 × 100

= 10%

Now for other

The Rate of inflation is

= (CPI this year - CPI last year) ÷ (CPI last year) × 100

= (108 - 110) ÷ 110 × 100

= -1.81%

Here the term i.e. used for the negative rate of inflation is deflation

The same is to be considered

The charter of a corporation provides for the issuance of 100,000 shares of common stock. Assume that 60,000 shares were originally issued and 10,000 were subsequently reacquired. What is the amount of cash dividends to be paid if a $2-per-share dividend is declared?a) $60,000.b) $5,000.c) $100,000.d) $55,000.

Answers

Answer:

c) $100,000

Explanation:

Number of shares originally issued   60,000

Less: Number of shares reacquired  (10,000)

Outstanding number of shares          50,000

Dividends per share declared            $2        

Total dividends declares                   $100,000 (50,000 shares * $2)

I purchased my home for $297,000 in 2015. Today it is worth approximately $520,000. What has my compounded annual rate of return been on this investment over the five years that I have owned my home?

a. 68.35%
b. 13.67%
c. 10.98%
d. 54.9%

Answers

Answer:

A because Brainly is here for kids to cheat on.

Explanation:

The answer is A) 68.35%

Firm B has a 12% ROE. Other things held constant, what would its expected growth rate be if it paid out 25% of its earnings as dividends?

Answers

Answer:

the expected growth rate is 9%

Explanation:

The computation of the expected growth rate is shown below:

As we know that

Retention ratio = (1 - dividend payout ratio)

So,  

Retention ratio = (1  -0.25) = 0.75

Now

Growth rate = Retention ratio × ROE

= 0.75 × 12

= 9%

hence, the expected growth rate is 9%

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

Koby, age 16, works after school at FastFood from 4 p.m. until 11 p.m. On Friday night, therestaurant manager sees that Koby is exhausted, but insists that he remain until 4:30 a.m.,cleaning up, then demands that he work Saturday morning from 8 a.m. until 4 p.m. On Saturdayafternoon, as Koby drives home, he falls asleep at the wheel and causes a fatal car accident.Should FastFood be liable? What important values are involved in this issue? How does theGolden Rule apply?

Answers

Answer:

find answer in the explanation below

Explanation:

Koby is 16 and that means he is under age for a start. That initial statement makes Fastfood liable.

As it can be seen from the question, the golden rule applies to Koby's case as it is clear he has other things to do with his time.

Primarily, he is a student and that means he has school work to do alongside putting in some hours at Fastfood. But then, he still has the right to be treated right which in this case means him getting some rest. It is therefore safe to say that the manager of Fastfood is trying to take advantage of Koby and should have given him rest.

if he had gotten some rest, he wouldn't have fallen asleep while driving and been in the accident.

Cheers

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

When offering financial products to clients, you may:

a. Omit collecting client identification documents if they are a prior client.
b. Choose which clients are offered products based on your observations and experience.
c. Refuse to accept product applications from clients who request them.
d. All of the above.
e. None of the above.

Answers

Answer:

d. All of the above.

Explanation:

All the three actions are appropriate actions for when offering financial products to clients.

a) is appropriate because prior clients are likely to have most of the information in the company's records.

b) is appropriate because as you gain experience, you become more knowledgeabe and intuitive about which clients should be offered a determined product.

c) is appropriate because as a financial worker, it is your duty to decline requests for financial products from clients who do not meet the given criteria.

Buxton Corp. has outstanding borrowings. One of these borrowings is nonconvertible preferred stock (cumulative) with a par value of $85 and an annual dividend rate of 6.20%. This preferred stock is currently selling for $56.50 per share. What is the yield or return (r) on this preferred stock?
a. 9.89%
b. 9.56%
c. 9.32%
d. 9.22%

Answers

Answer:

c. 9.32%

Explanation:

The computation of the yield or return on the preferred stock is shown below:

= (Annual dividend rate × par value ) ÷ current stock price

= (6.20% × $ 85 ) ÷ $56.50

= 9.32%

Hence, the  yield or return on the preferred stock is %

Therefore the correct option is c.

We simply applied the above formula so that the correct value could come

And, the same is to be considered

what do you mean by business organisation ​

Answers

Answer:

Business organization, an entity formed for the purpose of carrying on commercial enterprise.Such an organization is predicated on systems of law governing contract and exchange, property rights, and incorporation.

An increase in income:________. A. changes relative prices of goods the consumer buys. B. shifts the budget constraint outward. C. shifts the budget constraint inward. D. leads to the substitution effect.

Answers

Answer: B. shifts the budget constraint outward

Explanation:

An increase in the income of a consumer will bring about an outward shift of the budget constraint. This is because when the income of a consumer rises, such consumer can buy more goods and services.

Also, a decrease in income will result into an inward shift of the budget constraint. This is because lesser goods are purchased.

The risk associated with dispersion around an expected value (e.g., expected return) is measured by the:_______

a. beta coefficient
b. ​range (i.e., high‑low values)
c. ​standard deviation
d. ​debt to total assets (i.e., the debt ratio)

Answers

Answer:

C. Standard deviation

Explanation:

The Jackson-Timberlake Wardrobe Co. just paid a dividend of $1.95 per share on its stock. The dividends are expected to grow at a constant rate of 4 percent per year indefinitely. If investors require a return of 10.5 percent on The Jackson-Timberlake Wardrobe Co. stock, what is the current price? What will the price be in three years? In 15 years?

Answers

Answer:

If investors require a return of 10.5 percent on The Jackson-Timberlake Wardrobe Co. stock, what is the current price?

P₀ = Div₁ / (Re - g)

Div₁ = $2.028Re = 10.5%g = 4%

P₀ = $2.028 / (10.5% - 4%) = $31.20

What will the price be in three years?

P₃ = Div₄ / (Re - g)

Div₄ = $2.281Re = 10.5%g = 4%

P₃ = $2.281 / (10.5% - 4%) = $35.37

In 15 years?

P₁₅ = Div₁₆ / (Re - g)

Div₁₆ = $3.652Re = 10.5%g = 4%

P₁₅ = $3.652 / (10.5% - 4%) = $56.19

Mary's Baskets Company expects to manufacture and sell 30,000 baskets in 2019 for $5 each. There are 4,000 baskets in beginning finished goods inventory with target ending inventory of 9.000 baskets. The company keeps no work-in- process inventory. What amount of sales revenue will be reported on the 2019 budgeted income statement? A) $175,000 B) $150,000 C) $125,000 D) $55,000

Answers

Answer:

C $125,000

Explanation:

With regards to the above information, we know that the beginning and ending target inventory is the same, hence the units sold by Mary's baskets will remain at 30,000.

Sales in unit = Opening inventory in units + Production - Closing inventory

Sales in unit = 4,000 + 30,000 - 9,000

Sales in unit = 25,000

We do know that revenue is a function of sales multiplied by the selling price, which is given as $5 each.

Sales revenue = Sales in unit × Selling price

Sales revenue = 25,000 × $5

Sales revenue = $125,000

Therefore, the amount of sale revenue that would be reported on the 2019 budget income statement is $125,000

A seller (or provider) of goods or services to a business organization is known as a:
A Vendor.
B Payee.
C Vendee.
D Creditor.
E Debtor.

Answers

Answer:

A. Vendor.

Explanation:

This individual or company would be known as a vendor. These individual/company offer others a specific good or service for their own personal or commercial use. These individuals/companies make money by manufacturing the product and selling them to others and making a profit in the process. Usually they also sell these products in bulk which still nets them good profit and provides a cheaper price to the buyer.

Define uncertainty. What are some of the basic causes of uncertainty in engineering economy studies?

Answers

Answer:

A decision under uncertainty is a decisional problem.

A company desires to sell a sufficient quantity of products to earn a profit of $300000. If the unit sales price is $32, unit variable cost is $12, and total fixed costs are $800000, how many units must be sold to earn net income of $300000?a) 168,750 unitsb) 90,000 unitsc) 112,500 unitsd) 67,500 units

Answers

Answer:

55,000 units

Explanation:

Calculation for how many units must be sold

Using this formula

Units to be sold=Total fixed costs +Profit/(Sales price-Variable cost )

Let plug in the formula

Units to be sold =($800,000+$300,000)/($32 -$12)

Units to be sold=$1,100,000/$20

Units to be sold=55,000 units

Therefore units that must be sold to earn net income of $300000 will be 55,000 units

In a local NFP elementary school’s statement of cash flows, a contribution restricted for use on a new building project would be reported as:_________.A. A capital and related financing activity. B. A financing activity. C. An investing activity. D. An operating activity.

Answers

Answer: B. A financing activity.

Explanation:

A Financing activity is one that involves the provision of capital to the company or project being built which is why long term liabilities and equity will fall under this category.

This contribution that has been earmarked for use on the construction of a new building will therefore be treated as a financing activity because it represents capital being provided for the elementary school.

Had it been the Elementary school providing the funds itself then this would have been an Investing activity.

HP sells an inexpensive printer for an entry-level user, but the printer cartridges that need continual replacement are fairly expensive. This demonstrates the concept of ________.
A) product line pricing
B) captive pricing
C) price bundling
D) reference pricing
E) prestige pricing

Answers

Answer:

B)) captive pricing

Explanation:

From the question, we are informed about how HP sells an inexpensive printer for an entry-level user, but the printer cartridges that need continual replacement are fairly expensive. This demonstrates the concept of captive pricing. Pricing is essential in business because production process isn't complete until goods reach to the consumer. pricing strategy utilize the strategy of using advantage over a product so that large volume of customers can be drawn to patronize the product. Captive product pricing can be regarded as the pricing of goods which can be described as goods that posses a “core product” as well as number of “accessory products.”

Discuss about Financial System and its impact on the strategic Financial Management

Answers

Answer:

The modern Financial System is based on a central bank that controls the monetary base (but not the money supply), and in fractional reserve banking. The implicaton of this, is that banks loan out some of the money that they obtain as deposits, and in this process they create money.

Explanation:

The Financial System is influenced by this process of money creation, because when the money that circulates in the economy (the money supply) changes, interest rates also change.

Interest rates are the price of investment, and the most important indicator that a financial manager has to take into account when making a financing decision.

Financial managers must also take into account the different types of financial institutions that exist, from hedge funds, to commercial banks, to cooperatives, and the different types of securities, from stocks, to bonds, to derivatives and futures.

Joan has the following assets and liabilities: Credit card balance $1,000 Cash $200 Government bonds $3,000 Checking $300 Car loan balance $10,000 Car $15,000 What is Joan's money demand?A) $200 B) $300 C) $500 D) $1,000 E) $11,000

Answers

Answer:

C. $500

Explanation:

Money demand can be defined as the part of an assets in which a person is ready to hold as cash . The money can however be used to purchase goods or services.

Money demand can be denoted as

= Cash balance + Checking account balance.

Given that;

Cash balance = $200

Checking account balance = $300

Money demand = $200 + $300

Money demand = $500

Therefore, Joan's money demand is $500.

) A corporation acquires new funds only when its securities are sold in the

Answers

Answer:

(a) in the primary market by an investment bank.

Multiple -choice options

(a) in the primary market by an investment bank.

(b) in the primary market by a stock exchange broker.

(c) in the secondary market by a securities dealer.

(d) in the secondary market by a commercial bank.

Explanation:

The securities exchange has both primary markets and secondary markets. The primary market deals with new shares or securities that corporations offer to investors. Once the securities have been issued, they become available for trading at the secondary market.

If a corporation wishes to raise additional funds, it issues new shares to investors. It contracts an investment banker who assists in planning, organizing, and facilitating the entire process. Since the corporation is offering new shares, they are issued in the primary market.

At December 31 year-end Connor Company has a $9,500 note from a customer. Interest of 12% has accrued for 8 months on the note. What will Connor's income statement for the year ended December 31, report for this situation? a. Nothing because the company has not received the cash yet. b. Interest Revenue of $760 c. Note Receivable of $9,500 d. Both B and C

Answers

Answer:

b. Interest Revenue of $760

Explanation:

The computation is shown below:

= Note amount × rate of interest × number of months ÷ total number of months

= $9,500 × 12% ×  8 months ÷ 12 months

= $760

This amount would be represented as an interest revenue.

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Therefore the correct option is b.

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%

Goodwill is: Group of answer choices Amortized over the greater of its estimated life or forty years. Only recorded by the seller of a business. The excess of the fair value of the consideration exchanged for the company over the fair value of net assets acquired. None of these.

Answers

Explanation:

Goodwill in accounting is an intangible asset that arises when a buyer acquires an existing business. Goodwill represents assets that are not separately identifiable. Goodwill does not include identifiable assets that are capable of being separated or divided from the entity and sold, transferred, licensed, rented, or exchanged, either individually or together with a related contract, identifiable asset, or liability regardless of whether the entity intends to do so. Goodwill also does not include contractual or other legal rights regardless of whether those are transferable or separable from the entity or other rights and obligations. Goodwill is also only acquired through an acquisition; it cannot be self-created. Examples of identifiable assets that are goodwill include a company’s brand name, customer relationships, artistic intangible assets, and any patents or proprietary technology. The goodwill amounts to the excess of the "purchase consideration" (the money paid to purchase the asset or business) over the net value of the assets minus liabilities. It is classified as an intangible asset on the balance sheet, since it can neither be seen nor touched. Under US GAAP and IFRS, goodwill is never amortized, because it is considered to have an indefinite useful life. Instead, management is responsible for valuing goodwill every year and to determine if an impairment is required. If the fair market value goes below historical cost (what goodwill was purchased for), an impairment must be recorded to bring it down to its fair market value. However, an increase in the fair market value would not be accounted for in the financial statements. Private companies in the United States, however, may elect to amortize goodwill over a period of ten years or less under an accounting alternative from the Private Company Council of the FASB.

A machine costing $37,500 with a 5-year life and $2,300 residual value was purchased January 2. Compute depreciation for each of the five years, using the double-declining-balance method.

Answers

Answer:

11,250

Explanation:

Paunch Burger has a beta of 1.2 and just paid a dividend of $2.30 that is expected to grow at 3.2%. If the risk-free rate is 3% and the market risk premium is 6%, what should be the price of the stock

Answers

Answer:

P0 = $33.9085 rounded off to $33.91

Explanation:

Using the constant growth model of dividend discount model, we can calculate the price of the stock today. The DDM values a stock based on the present value of the expected future dividends from the stock. The formula for price today under this model is,

P0 = D0 * (1+g) / (r - g)

Where,  

D0 is the dividend paid  recently

D0 * (1+g) is dividend expected for the next period /year

g is the growth rate

r is the required rate of return or cost of equity

First we need to calculate the required rate of return or r using the CAPM.

Using the CAPM, we can calculate the required/expected 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 * rpM

Where,  

rRF is the risk free rate

rpM is the market risk premium

r = 0.03 + 1.2 * 0.06

r = 0.102 or 10.2%

Now using the formula for P0 under the constant dividend growth model,

P0 = 2.3 * (1+0.032)  /  (0.102 - 0.032)

P0 = $33.9085 rounded off to $33.91

Which factor would influence the premiums of health insurance?
Building size
Deductible
Elimination period
Profession

Answers

Answer:

Deductible

Explanation

The correct option is B. Plan category, the plan covers dependents, and deductibility is the factor that influences the premiums of health insurance.

What is Health Insurance?

Medical and health-related costs are covered by a specific type of insurance called health insurance. Routine care, emergency care, and treatment for long-term illnesses are all partially or fully covered by health insurance.

Thus, there are many other factors that influence the health insurance premiums such as age, smoking status, region, type of plan, and if dependents are covered by the policy.

Learn more about Health Insurance here:

https://brainly.com/question/27356829

#SPJ2

Other Questions
A scientist poured 1.6 x 103 milliliters of water into a container that already had 2.8 x 104 milliliters of salt water and 9.4 x 103 milliliters of sugar water. Which of the following best describes the velocity of an object? *8 pointsA. 30 m/sB. 30 m to the EastC. 30 m/s to the EastD. 30 m Examples of person vs. himself in a Christmas carol what is the difference betwen cash crop and food crop Use the lesser than sign in the greater than sign to fill in the middle blanks , between the two numbers given? < , > Help me please Make x the subject of the formulaX 7r = bc Express the following ratios in simplest form: 20:40 what subjects did Percy Spencer teach himself? Money needs to be portable in order to:A. be divided into smaller denominations as needed.B. be easily carried and transferred over large distances.C. be consistent with other money in a country.O D. be exchanged for a long time without falling apart. Cules son los trminos que faltan para completar la igualdad en el siguiente producto? (n - 2)(n + 7) = n + ___ - ___ Help me pleaseeee I need to finish Find the prime factorization of 32. Write in exponential form.thank you !!! 7. In the drawing below, identify the following. (This is NOT multiple choice!)A) Alternate Interior AnglesB) Alternate Exterior AnglesC) Consecutive Interior AnglesD) Corresponding Angles I need helpY=2x+7X=4Y= What is the SI unit of gravitational force *How many copies of DNA are made when replication is complete?14 pointsO A4B3C2D 1 All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours. How many hours would it take to fill the order if the number of working machines decreased by factor of 4? Convert 85km/hr to cm/s(factor label conversion) Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent? 10 points1. Instead of India, what did Columbus actually discover?ChinaThe BahamasMexicoCanada