A perfectly competitive firm, with MC=q operates in a market character,zed by the following market demand and supply conditions:
Demand: Q=20000-100P
Supply: Q=100P

How much output does this competitive firm produce to maximize profit? Show your work graphically and algebraically.

Answers

Answer 1

Answer: 10000 units

Explanation:

First, we've to determine the equilibrium price which will be gotten when we equate the demand to the supply which will be:

20000 - 100P = 100P

100P + 100P = 20000

200P = 20000

P = 20000/200

P = 100

Since Q = 100P

Q = 100 × 100

Q = 10000

The competitive firm will produce 10000 units to maximize profit.

A Perfectly Competitive Firm, With MC=q Operates In A Market Character,zed By The Following Market Demand

Related Questions

True or False: Both countries would be better off if they produced the good in which they have a comparative advantage and then traded 400 million tons of grain for 200 million cars.

Answers

Answer:

true

Explanation:

At year-end, the following additional information is available: a. The balance of Prepaid Rent, $4,920, represents payment on October 31, 2018, for rent from November 1, 2018, to April 30, 2019. b. The balance of Deferred Revenue, $1,100, represents payment in advance from a customer. By the end of the year, $275 of the services have been provided. c. An additional $700 in salaries is owed to employees at the end of the year but will not be paid until January 4, 2019. d. The balance of Supplies, $2,100, represents the amount of office supplies on hand at the beginning of the year of $750 plus an additional $1,350 purchased throughout 2018. By the end of 2018, only $610 of supplies remains.

Answers

Question Completion:

The December 31, 2018, unadjusted trial balance for Demon Deacons Corporation is presented below.

 

Accounts                      Debit       Credit

Cash                          $ 8,100

Accounts Receivable 13,100

Prepaid Rent              4,920

Supplies                      2,100

Deferred Revenue                     $ 1,100

Common Stock                           11,000

Retained Earnings                       4,100

Service Revenue                      37,520

Salaries Expense   25,500

Total                    $ 53,720  $ 53,720

Use the following additional information to prepare the adjusted Trial Balance.

Answer:

Demon Deacons Corporation

Adjusted Trial Balance

As of December 31, 2018

Accounts                      Debit       Credit

Cash                          $ 8,100

Accounts Receivable 13,100

Prepaid Rent              3,280

Supplies                         610

Deferred Revenue                      $ 825

Common Stock                           11,000

Retained Earnings                       4,100

Salaries Payable                            700

Service Revenue                      37,795

Rent Expense            1,640

Salaries Expense   26,200

Supplies Expense     1,490

Total                    $ 54,420  $ 54,420

Explanation:

a) Data and Analysis:

a. Rent Expense $1,640 Prepaid Rent, $1,640 ($4,920 * 2/6) rent from November 1, 2018, to April 30, 2019.

b. Deferred Revenue, $275 Service Revenue $275

c. Salaries Expense $700 Salaries Payable $700

d. Supplies Expense $1,490 Supplies $1,490

Accounts                      Debit       Credit

Cash                          $ 8,100

Accounts Receivable 13,100

Prepaid Rent              4,920 - 1,640 = 3,280

Supplies                      2,100 - 1,490 = 610

Deferred Revenue                     $ 1,100 -275 = 825

Common Stock                           11,000

Retained Earnings                       4,100

Salaries Payable                            700

Service Revenue                      37,520 + 275 = 37,795

Rent Expense            1,640

Salaries Expense   25,500 + 700 = 26,200

Supplies Expense     1,490

Total                    $ 53,720  $ 53,720

Which situation best describes opportunity cost

Answers

Answer:

A store that buys a shipment of new computers cant afford to buy new phones.

Explanation:

Answer:

(D.) a trade-off

Explanation:

Got it right

The Quick Buck Company is an all-equity firm that has been in existence for the past three years. Company management expects that the company will last for two more years and then be dissolved. The firm will generate cash flows of $450,000 next year and $790,000 in two years, including the proceeeds from the liquidation. There are 20,000 shares of stock outstanding and shareholders require a return of 12 percent.

Required:
What is the current price per share of the stock?

Answers

Answer:

$53.09

Explanation:

Calculation to determine current price per share of the stock

First step is to determine the Dividend per share in Year 1

Using this formula

Dividend per share in Year 1 = Cash flow generated next year / Number of shares

Let plug in the formula

Dividend per share in Year 1 == $450,000 / 20,000

Dividend per share in Year 1 == $ 22.5

Second step is to determine the Dividend per share in Year 2 using this formula

Dividend per share in Year 2 = Cash flow generated in two years / Number of shares

Let plug in the formula

Dividend per share in Year 2 = $790,000 / 20,000

Dividend per share in Year 2 = $39.5

Dividend per share in Year 2 =$40 Approximately

Now let determine the Share price today using this formula

Share price today = [ Dividend in Year 1 / (1 + Required rate of return) ] + [ Dividend in Year 2 / (1 + Required rate of return)2 ]

Let plug in the formula

Share price today = [22.5 /(1+.12)]+ (40 / 1.12^2

Share price today = (22.5 /1.12) + (40 / 1.12^2)

Share price today =$20.09+(40/1.25)

Share price today =$20.09+32

Share price today = $ 53.09

Therefore current price per share of the stock

Is $53.09

Liam works at an IT firm. He finds that the activities carried out by his team are very complex and struggles to complete his tasks on time. He learns that some of his team members are also facing the same issue. Even though there is clarity of the target among the team members, the team struggles to efficiently carry out its task. Which of the following should the team do in order to ensure the completion of the tasks?
A. It should change the output and retain the workforce.
B. It should use informal communication to carry out its tasks.
C. It should standardize the work activities through flowcharts.
D. It should conduct an in-house training program to bring employees up to speed.

Answers

Answer: D. It should conduct an in-house training program to bring employees up to speed.

Explanation:

Since team struggles to efficiently carry out its task, in order to ensure the completion of the tasks, the team should conduct an in-house training program to bring employees up to speed.

With an in house training done, the employees will gain the necessary skills and experience which will be needed to carry out their jobs effectively and efficiently. Therefore, the correct option is D.

Information is considered material to the financial statements if
I. It falls within industry-specific quantitative guidelines published by the Financial Accounting Standards Board.
II. Its omission could make a difference in the decisions made by a user relying on the financial statements.
III. Its misstatement could make a difference in the decisions made by a user relying on the financial statement.
a. I and IIl only.
b. Il and Ill only.
c. I, Il and III.
d. I only.

Answers

Answer:

B

Explanation:

Singh, a consumer, leases sheet music from Tunes Inc. for a public performance. United Music Corporation, which holds a copyright on the music, sues Singh to stop the performance without a royalty payment. Singh fails to notify Tunes of the suit within a reasonable time. The lessee:_________
a. loses any remedy against the lessor for liability established in the suit.
b. can assert this failure to delay the litigation, but it is not a defense.
c. can raise the failure to notify as a defense in copyright holder’s suit.
d. can sue the lessor to recover the expenses of the suit.

Answers

Answer:

a. loses any remedy against the lessor for liability established in the suit.

Explanation:

This is because it was lessee's responsibility to inform the lessor in time.

A lessee is in contract with the lessor and is responsible for all the actions taken on behalf of the lessor with the lessor's permission.

If the lessee fails to inform the lessor in time or do any action without his permission then the lessor can sue the lessee or take any other legal action as may be required by the law against the lessee.

In breach of contract the lessee has to face the consequences and pay penalty.

Choice a is the best option.

The lessee can never sue the lessor for his illegal actions.

So option d is incorrect.

b) Delaying the litigation would do no good. It would add to his failures.

Choice c is also incorrect.

impact of collusion in terms of output and price on consumers and producers​

Answers

Answer: See explanation

Explanation:

Collusion refers to the agreements among the sellers of a particular product to either fix or increase the price and also reduce output. The main idea behind this is to increase profits and also reduce the competitiveness in such market.

Collusion can bring about high prices for the consumers and this ultimately leads to the reduction in the consumer surplus. Also, the new firms that want to enter the market may discouraged since the collusion can be an entry barrier.

stock y has a beta of 1.5 and an expected return of 16.35. what is the risk free rate if the market return is 12.5%

Answers

Answer:

the risk free rate of return is 4.8%

Explanation:

The computation of the risk free rate of return is shown below:

As we know that

Expected rate of return = Risk free rate of return + beta × (market rate of return - risk free rate of return)

Here we assume the risk free rate of return be x

So ,

16.35% = x + 1.5 × (12.5% - x)

16.35% =  x + 18.75% - 1.5x

16.35% - 18.75% = -0.5x

x = 4.8%

Hence, the risk free rate of return is 4.8%

Mark Company acquired Jackson Company for $2,000,000 cash. At that time, the fair value of recorded assets and liabilities was $1,500,000 and $250,000, respectively. Jackson also had unrecorded copyrights valued at $100,000 and its direct costs related to the acquisition were $50,000. What was the amount of the goodwill related to the acquisition?​

Answers

Answer: $600,000

Explanation:

The amount of the goodwill related to the acquisition will be calculated thus:

Acquisition price = $2,000,000

The net assets will be:

= Assets + Copyrights - Liabilities

= $1,500,000 + $150,000 - $250,000

= 1,400,000

Goodwill will then be calculated as:

= acquisition price - net assets

= $2000000 - $1400000

= $600,000

You are planning to make annual deposits of $5,700 into a retirement account that pays 10 percent interest compounded monthly. How large will your account balance be in 30 years

Answers

Answer:

$12,884.78

Explanation:

The amount in Future for the dollar invested today is referred as the Future Value. We determine the Future Value by compounding the Principle amount using the effective interest rate.

We can simply calculate the Future Value using a Financial calculator as follows :

PV = $0

PMT = - $5,700

I = 10 %

P/YR = 12

N = 30 x 12 = 360

FV = ??

Therefore,

The Future Value (FV) will be $12,884.78

The Account balance will be $12,884.78 in 30 years.

A university spent $2 million to install solar panels atop a parking garage. These panels will have a capacity of 700 kilowatts (kW) and have a life expectancy of 20 years. Suppose that the discount rate is 20%, that electricity can be purchased at $0.10 per kilowatt-hour (kWh), and that the marginal cost of electricity production using the solar panels is zero.

Hint: It may be easier to think of the present value of operating the solar panels for 1 hour per year first.

Approximately how many hours per year will the solar panels need to operate to enable this project to break even?

8,214.28

5,867.34

2,346.94

4,693.87

If the solar panels can operate only for 5,281 hours a year at maximum, the project break even.

Continue to assume that the solar panels can operate only for 5,281 hours a year at maximum.

In order for the project to be worthwhile (i.e., at least break even), the university would need a grant of at least blank

Answers

Answer:

A university spent $1.7 million to install solar panels atop a parking garage. These panels will have a capacity of 300 kilowatts (kW) and have a life expectancy of 20 years. Suppose that the discount rate is 20%, that electricity can be purchased at $0.10 per kilowatt-hour (kWh), and that the marginal cost of electricity production using the solar panels is zero. Hint: It may be easier to think of the present value of operating the solar panels for 1 hour per year first. Approximately how many hours per year will the solar panels need to operate to enable this project to break even? 10,472.99 17,454.99 5,818.33 11,636.66 If the solar panels can operate only for 10,473 hours a year at maximum, the project break even. Continue to assume that the solar panels can operate only for 10,473 hours a year at maximum. In order for the project to be worthwhile (i.e., at least break even), the university would need a grant of at least

An increase in the excise tax on alcohol of $1 per liter: a. coupled with a uniform drinking age nationwide would save lives. b. will raise the price of alcohol by exactly $1 per liter. c. will generate substantial revenue if demand is elastic. d. will generate minimal tax revenues for the federal government. e. will have no effect on alcohol consumption.

Answers

Answer:

c. will generate substantial revenue if demand is elastic.

Explanation:

If there is an increase in the excise tax on the alcohol so it would produced the high revenue since the demand for the alcohol is elastic also the excise tax represent the application with respective to the price elasticty of demand

Therefore as per the given options, the option c is correct

And, the same is to be considered

true and false
4. Know the market trends of products that are in demand not
only within the local market but also in the international market.​

Answers

Answer:

false

Explanation:

don't think so that s

is the answer

Casey Company retired $500,000 face value, 9% bonds on June 30, 2018 at 96. The carrying value of the bonds at the redemption date was $508,000. Prepare the journal entry to record the redemption of the bonds.

Answers

Answer:

Dr Bonds Payable $500,000

Dr Premium on Bonds Payable $8,000

Cr Gain on Bond Redemption $28,000

Cr Cash $480,000

Explanation:

Preparation of the journal entry to record the redemption of the bonds.

Dr Bonds Payable $500,000

Dr Premium on Bonds Payable $8,000

($508,000-$500,000)

Cr Gain on Bond Redemption $28,000

($500,000+$8,000-$480,000)

Cr Cash $480,000

($500,000 × 96%)

(To record the redemption bonds)

SME Company has a debt-equity ratio of .60. Return on assets is 7.9 percent, and total equity is $510,000. a. What is the equity multiplier

Answers

Answer:

1.60

Explanation:

Given the above information, equity multiplier is computed as shown below.

Equity multiplier = 1 + Debt - equity ratio

Where,

Debt - equity ratio = 0.60

Therefore,

Equity multiplier = 1 + 0.60

Equity multiplier = 1.60

Hence, equity multiplier is 1.60

Bennett Co. has a potential new project that is expected to generate annual revenues of $260,300, with variable costs of $143,200, and fixed costs of $60,700. To finance the new project, the company will need to issue new debt that will have an annual interest expense of $23,500. The annual depreciation is $24,800 and the tax rate is 35 percent. What is the annual operating cash flow

Answers

Answer:

$45,340

Explanation:

Calculation to determine the annual operating cash flow

Sale $260,300

Less: Operating Cost $143,200

Contribution $117,100

($260,300-$143,200)

Less: Fixed Cost $60,700

Less: Depreciation as per table given below $24,800

Profit before tax $31,600

($117,100-$60,700-$24,800)

Tax $11,060

($34%$31,600)

Profit After Tax $20,540

($31,600-$11,060)

Add Depreciation $24,800

Cash Profit After tax $45,340

($20,540+$24,800)

Therefore the annual operating cash flow is $45,340

Interest can be regarded as the Group of answer choices payment to entrepreneurs for incurring risk in the production of new goods. return earned by capital as an input in the production process.

Answers

Answer:

return earned by capital as an input in the production process.

Explanation:

The interest means the return that is earned by the capiatl which represent as an input for the process of the production. Also it shows the reward for the capital purpose as the factor of production like land, labor, capital, etc

So, as per the given situation, the last option should be correct and the same is to be considered

Therefore the other options seems incorrect

Ted's Co. offers a zero coupon bond with an 11.3% yield to maturity. The bond matures in 16 years. What is the current price of a $1,000 face value bond

Answers

Answer:

Zero-cupon bond= $835.45

Explanation:

Giving the following information:

Face value= $1,000

YTM= 11.3%

Years to maturity= 16 years

To calculate the price of the bond, we need to use the following formula:

Zero-cupon bond= [face value/(1+i)^n]

Zero-cupon bond= 1,000 / (1.113^16)

Zero-cupon bond= $835.45

Suppose the Chester company shifts focus to only competing in the Thrift and Nano segments, while competing on price by reducing costs and passing the savings to the customers, what strategy would they be implementing

Answers

Answer: c. Niche cost leader

Explanation:

Niche marketing is when a company focuses on a particular market or good. It is usually done to become more efficient in that niche such that one can dominate the market and become more profitable.

When Chester focuses on these markets with the aim of reducing costs, they are trying to be a cost leader in this niche which means that they are trying to produce at the least cost so that they can charge cheaper prices and capture more market share in this particular niche.

Samuel is the managing general partner of STU, in which he owns a 25% interest. For the year, STU reported ordinary income of $400,000 (after deducting all guaranteed payments). In addition, the LLC reported interest income of $12,000. Samuel received a guaranteed payment of $120,000 for services he performed for STU. How much income from self-employment did Samuel earn from STU

Answers

Answer:

$220,000

Explanation:

Calculation to determine How much income from self-employment did Samuel earn from STU

Using this formula

Income from self-employment =Guaranteed payment received+(Interest rate*Ordinary income)

Let plug in the formula

Income from self-employment=$120,000+(25%*$400,000)

Income from self-employment=$120,000+$100,000

Income from self-employment=$220,000

Therefore the amount of income from self-employment that Samuel earn from STU is $220,000

that its before-tax cost of debt is 9.0%. Its cost of preferred stock is 13.0%. Its cost of internal equity is 17.0%, and its cost of external equity is 22.0%. Currently, the firm's capital structure has $310 million of debt, $60 million of preferred stock, and $130 million of common equity. The firm's marginal tax rate is 45%. The firm is currently making projections for the next period. Its managers have determined that the firm should have $97 million available from retained earnings for investment purposes next period. What is the firm's marginal cost of capital at a total investment level of $269 million

Answers

Answer:

9.05%

Explanation:

Calculation to determine the firm's marginal cost of capital at a total investment level of $269 million

Capital Budget = $269 million

To be financed through Equity = 269 million*130/(310+60+130)

To be financed through Equity = 269 million*130/500

To be financed through Equity = 69.9 million

Available from retained earnings = $97 million

Hence, No external equity will be required

Now let calculate the the firm's marginal cost of capital using this formula

WACC = Cost of debt*Weight of Debt + Cost of Preferred Stock*Weight of Preferred Stock + Cost of Equity*Weight of Equity

Let plug in the formula

WACC= 9%(1-45%)*310/500 + 13%*60/500 + 22%*130/500

WACC= 9%(55%)*310/500 + 13%*60/500 + 17%*130/500

WACC=.03069+.0156+.0442

WACC=0.09049*100

WACC=9.049%

WACC=9.05%(Appropriately)

Therefore the firm's marginal cost of capital at a total investment level of $269 million is 9.05%

In fiscal year 2008, the U.S. government ran a deficit of about $459 billion. In fiscal year 2009, the government ran a deficit of about $1,413 billion. If there is crowding out, this change would be expected to have

Answers

Answer:

increased interest rates and decreased private investment.

Explanation:

decreased interest rates and private investment.

decreased interest rates and increased private investment.

increased interest rates and private investment.

Crowding out is when increased government borrowing leads to an increase in interest rate and this discourages private spending

governemnt borrowing occurs as a result of the government running a deficit

All publicly traded companies must adhere to __________ accounting principles: a. IFRS b. SEC c. GAAP d. SOX

Answers

Answer:

c

Explanation:

Its c

If nominal GDP is $900 billion and, on average, each dollar is spent six times in the economy over a year, then the quantity of money demanded for transactions purposes will be Multiple Choice 750 150 3,600 450 900

Answers

Answer:

Option B (150) is the correct answer.

Explanation:

Given:

Nominal GDP,

= $900

Money velocity,

= 6

As we know,

⇒ [tex]Nominal \ GDP=Quantity \ of \ demanded \ money\times Money \ velocity[/tex]

By putting the vales, we get

⇒                    [tex]900=Quantity\times 6[/tex]  

⇒           [tex]Quantity=\frac{900}{6}[/tex]

⇒                           [tex]=150[/tex]

Hau Lee Furniture, Inc., spends 50% of its sales dollars in the supply chain and finds its current profit of $21,000 inadequate. The bank is insisting on an improved profit picture prior to approval of a loan for some new equipment. Hau would like to improve the profit line to $26,000 so he can obtain the bank's approval for the loan. What percentage improvement is needed in the supply chain strategy for profit to improve to $26000

Answers

Answer: 7.1%

Explanation:

The cost of materials needs to reduce for the profit to increase. If the profit is to go from $21,000 to $26,000, the material cost would need to decrease by:

= 26,000 - 21,000

= $5,000

The current material cost is $70,000 so a decrease of $5,000 in percentage terms would be:

= 5,000 / 70,000 * 100%

= 7.1%

The new material cost would be:

= 70,000 - 5,000

= $65,000

Assume US GAAP to answer this question. In 2017, $2 million in wages were earned and no cash wages were paid. In 2018, $8 million in wages were earned and $9 million in cash wages were paid. Cash wages were used to first pay wages earned in 2017 with the remainder used to pay wages earned in 2018. Any earned but unpaid wages will be paid during the first quarter of 2019. Using only the information provided, which of the following statements is most accurate?

a. Liabilities increased by $1.0 million in 2018
b. Liabilities increased by $3.0 million in 2018
c. Assets decreased by $5.0 million in 2018
d. Retained earnings decreased by $10.0 million in 2018
e. Retained earnings decreased by $7.0 million in 2018

Answers

Answer: a. Liabilities increased by $1.0 million in 2018

Explanation:

In 2018, $9 million was used to settle the wage debt of 2017 and the remainder was used to settle the wages in 2018.

The money remaining in cash after the wage settlement was:

= 9,000,000 - 2,000,000 - 8,000,000

= -$1,000,000

This means that $1,000,000 of wages was not settled in 2018 which means that this would have to go to the Wages Payable account to signify that the company owes wages.

This account is a liability account so liabilities in 2018 would increase by $1,000,000.

Titan foods makes a high-energy forzen meal. the selling price per package is 7.20, and variable cost of production is 4.32. Total fixed cost per year is 569,880. the company is currently selling 225000 packages per year.
a. What is the margin of safety in packages?
b. What is the degree of operating leverage?
c. If the company can increase sales in packages by 30 percent, what percentage increase will it experience in income? Prove your answer using the income statement approach.
d. If the company increases advertising by $41,200, sales in packages will increase by 15 percent. What will be the new break-even point? The new degree of operating leverage?

Answers

Answer:

a = 12%

b = 4.82%

c = 248%

d = 4.78%

Explanation:

Calculating Break even point

Fixed cost / Sales price per unit - variable cost per unit = break even point

$569,880 / {$7.20-$4.32}

=$569,880 / $2.88

=$197,875 is the break even point.

a.

Margin of Safety

225,000 packages - $197,875 / 225,000 packages * 100

=12%

b.

Income is computed

Sales $1,620,000  {225,000 * $7.2}

Less: COGS $972,000 {225,000 * $4.32}

Less : Fixed Costs $569,880

Income = $78,120

Operating leverage is % change in Income / % change in sales

$78,120 / $1,620,000 * 100

= 4.82%

c. If sales increase by 30%

Sales $2,106,000  {225,000 * $7.2 * 130%}

Less: COGS $1,263,600 {225,000 * $4.32 * 130%}

Less : Fixed Costs $569,880

Income = $272,520

Increase in Income = $272,520 - $78,120 / $78,120 * 100

= 248%

d. Calculating Break even point

Fixed cost / Sales price per unit - variable cost per unit = break even point

$569,880 + $41,200 / {$7.20-$4.32}

= $212,180.56

Operating leverage is % change in Income / % change in sales

Calculating increase in income

Sales $1,863,000  {225,000 * $7.2 * 115%}

Less: COGS $1,117,800 {225,000 * $4.32 * 115%}

Less : Fixed Costs $611,080 {$569,880 + 41,200}

Income = $134,120

Increase in Income = $134,120 - $78,120 / $78,120 * 100

=71.68%

Operating leverage is % change in Income / % change in sales

71.68% / 15%

= 4.78%

Al Ahli company had the following purchases and sales during its first year of operations:
Sales
January
February
May:
Purchases
15 units at $110
10 units at $135
7 units
Using the Weighted average inventory costing method, what is the cost of ending inventory?
A. $2,176
B. $3,840
OC. $1,800
D. $2,160

Answers

B will always be right so what are you saying

Andy is driving a 20-year-old boat that he borrowed from a friend. While he's on the water, the steering system fails and the boat crashes. Subsequent investigation shows that the steering system failed as a result of corrosion. Andy sues the boat manufacturer for negligence. How strong is his negligence case against the product manufacturer

Answers

Answer:

Weak.

Explanation:

In the given scenario, the case is weak because Andy cannot sue the manufacturer company for negligence.

it is because Andy is driving a 20-year-old boat. So, Andy cannot prove that the corrosion was due to manufacturing defect. The possibility of corrosion must be the wearing or tearing away of the boat.

Normally, material corrodes if not taken care of properly or due to a long lifespan.

Therefore, the case of Andy against the product manufacturer is weak.

Other Questions
What is 2/5 in three equivalent forms Read the sentences and find the correct answer.History is an important part of any well-rounded study program. We must understand the intricacies of our past.Select the best transition to join the sentences above. In order to plan for our future, Since most people are undereducated, Although everyone knows it is dull, Once you know the dates of an event, Find the equation of the axis of symmetry of the following parabola algebraically.y=x^2-12x+34 Find QR.Write your answer as an integer or as a decimal rounded to the nearest tenth. QR = ___ Is 5+2y=13 a linear relationship why did Malala Yousafzai gave the speech is each pair of lines parallel perpendicular or neither If point D is placed on `bar(AC)`, how will the measure of `/_DAB` relate to the measure of `/_CAB` ? two rational numbers between 2/3 and 5/3 An urn contains 9 black and 8 pink balls. Five balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 5 balls drawn from the urn are black I NEED HELP FAST WILL GIVE BRAINLIEST #1 AND IF YOU CAN #2 Triangle JKL is similar to triangle MNO. Find the measure of side MN. Figures arenot drawn to scale.LO2JK1.4MN0 A ball is launched from a platform. The equation for the ball's height h at time t seconds after launch is h(t)= -16t^2+153.6t +393.12, where h is in feet. What is the initial height of the ball before launch? For # 7-10, find the number of possible 4-card hands that contain the cards specified the volume of a large aquarium is 210 ft. it is 5 ft wide and 6 ft high. what is the length of the aquarium? Tradable permits are likely to result in less inefficiency, relative to a pollution tax, when ... a. the marginal costs of damages are steep and the marginal costs of pollution reduction are relatively stable. b. the marginal costs of damages are steep and the marginal costs of pollution reduction are steep. c. the marginal costs of damages are relatively stable and the marginal costs of pollution reduction are relatively stable. d. the marginal costs of damages are relatively stable and the marginal costs of pollution reduction are steep. e. the marginal costs of damage are elastic and the marginal costs of pollution reduction are also elastic. WHATS THE ANSWER I NEED HELP FOR A USA TEST PREP PLEASEEEE!!! In which region of the US is Wyoming located?MidwestSouthwestRocky MountainPacific Northwest GIVING BRAINIEST IF CORRECT!!!Mr. Cohen just got a pool and decided to fill it up using a hose. After a half hour, the pool is filled 1/15 of the way. How much will the pool be filled after 6 hours?A. 4/5 fullB. 1/30 fullC. 2/5 full hi! ill give brainliest please help