Suppose the demand function for good X is given by: Q_dx = 15-0 5P_x - 0.8 P y where Q_dx is the quantity demanded of good X, P_x is the price of good X, and P_y is the price of good Y, which is related to good X. a. Using the midpoint method, if the price of good Y is $10 and the price of good X decreases from $5 to $3, what is the price elasticity of demand for good X? Is the demand elastic, unitary elastic, or inelastic? b. Good X and Good Y are related as c. Using the midpoint method, if the price of good X is $10 and the price of good increases from $8 to $10, the cross price elasticity of demand is about

Answers

Answer 1

Answer:

a. Price elasticity of demand for good X is -0.80; and the demand is inelastic.

b. Good X and Good Y are related as complements.

c. The cross price elasticity of demand is about -2.57%.

Explanation:

Note: There is an error in the demand function for good X. This is therefore corrected by restating the function as follows:

Q_dx = 15 - 0.5P_x - 0.8 P_y …………………………… (1)

a. Using the midpoint method, if the price of good Y is $10 and the price of good X decreases from $5 to $3, what is the price elasticity of demand for good X? Is the demand elastic, unitary elastic, or inelastic?

From the question and equation (1), we have:

Old price of good X = Old P_x = $5

New price of good X = New P_x = $3

New quantity demanded of good X = New Q_dx = 15 - (0.5 * 3) - (0.8 * 10) = 5.50

Old quantity demanded of good X = New Q_dx = 15 - (0.5 * 5) - (0.8 * 10) = 4.50

Ordinarily, the formula for calculating the price elasticity of demand is as follows:

Price elasticity of demand = Percentage change in quantity demanded of good X / Percentage change in price of good X ................ (1)

Where, based on the midpoint formula, we have:

Percentage change in quantity demanded of good X = {(New quantity demanded of good X - Old

quantity demanded of good X) / [(New quantity demanded of good X + Old quantity demanded of good X) / 2]} * 100 = {(5.50 - 4.50) / [(5.50 + 4.50) / 2]} * 100 = 20%

Percentage change in price = {(New price of good X - Old price of good X) / [(New price of good X + Old Price of good X) / 2]} * 100 = {(3 - 5) / [(3 + 5) / 2]} * 100 = -25%

Substituting the values into equation (1), we have:

Price elasticity of demand for good X = 20% / -25% = -0.80

Therefore, the price elasticity of demand (based on the midpoint formula) when price decreases from $5 to $3 is -0.80.

Since the absolute value of the price elasticity of demand for good X i.e. |-0.80| is less than one, the demand is inelastic.

b. Good X and Good Y are related as

From equation (1) above, the coefficient P_Y is -0.80 which shows that it has a negative sign.

The negative sign indicates Good X and Good Y are related as complements. This implies that as price of Good Y falls, the quantity demand of Good X increases.

c. Using the midpoint method, if the price of good X is $10 and the price of good Y increases from $8 to $10, the cross price elasticity of demand is about

From the question and equation (1), we have:

Old price of good Y = Old P_y = $8

New price of good Y = New P_y = $10

New quantity demanded of good X = New Q_dx = 15 - (0.5 * 10) - (0.8 * 10) = 2

Old quantity demanded of good X = New Q_dx = 15 - (0.5 * 10) - (0.8 * 8) = 3.60

Ordinarily, the formula for calculating the cross price elasticity of demand is as follows:

Cross price elasticity of demand of goods X and Y = Percentage change in quantity demanded of good X / Percentage change in price of good Y ................ (2)

Where, based on the midpoint formula, we have:

Percentage change in quantity demanded of good X = {(New quantity demanded of good X - Old

quantity demanded of good X) / [(New quantity demanded of good X + Old quantity demanded of good X) / 2]} * 100 = {(2 - 3.60) / [(2 + 3.60) / 2]} * 100 = -57.1428571428572

Percentage change in price of good Y = {(New price of good Y - Old price of good Y) / [(New price of good Y + Old Price of good Y) / 2]} * 100 = {(10 - 8) / [(10 + 8) / 2]} * 100 = 22.2222222222222

Substituting the values into equation (2), we have:

Cross price elasticity of demand of good X and Y = -57.1428571428572 / 22.2222222222222 = -2.57142857142857

Rounding to 2 decimal places, we have:

Cross price elasticity of demand of good X and Y = -2.57

Therefore, the cross price elasticity of demand is about -2.57%.

Note: This confirms that the relationship between Good X and Good Y is complement because the cross-price elasticity between them is negative. That is, an increase in the price of Good Y makes consumer to buy less of Good X which is a complement.


Related Questions

Northwest Lumber had a profit margin of 5.25%, a total assets turnover of 1.5, and an equity multiplier of 1.8.
What was the firm's ROE?
a. 12.79%
b. 13.47%
c. 14.18%
d. 14.88%
e. 15.63%

Answers

Answer:

ROE = 0.14175 or 14.175%

Explanation:

The DuPont equation to calculate ROE or return on equity breaks the ROE into three components namely Net Income or Net Profit margin, Total assets turnover and equity multiplier. This is used to see what factor are affecting the Return on Equity generated by the business. ROE under DuPont can be calculated as follows,

ROE = NI Margin * Total Assets Turnover * Equity Multiplier

ROE = 0.0525  *  1.5  *  1.8

ROE = 0.14175 or 14.175%

____ demonstrates that management has identified an acceptable risk level and provided resources to control unacceptable risk levels.

Answers

Answer:

Accreditation

Explanation:

Accreditation is usually known as  voluntary process. It occurs when  a private non-governmental organization or agency carry out an external review and gives recognition to a program of study or institution that meets certain pre-determined standards. Accreditation is usually carry out thoroughly and in an organized manner.

Which financial statement would include a listing of a companies assets

Answers

Answer:

Balance Sheet

Explanation:

In accounting, Balance sheet will show a complete listing of  assets, liabilities and  Equity of a company within a specific time period. (For most companies, the balance sheet will be made at each end of the year)

under the Assets segment, Balance sheet will specify several accounts arranged based on their liquidity. Cash usually put at the top of the list since it's considered as the most liquid assets.

People use balance sheet to give a general measurement on Company's financial health. If for example, they noticed that the liability is significantly larger than their assets, investors might feel discourage to invest in the company.

Macroeconomic is the branch of economics that focuses on ?

Answers

Answer:

economic principles affecting entire countries

Explanation:

An entrepreneur founded his company using $200,000 of his own money, issuing himself 200,000 shares of stock. An angel investor bought an additional 100,000 shares for $200,000. The entrepreneur now sells another 400,000 shares of stock to a venture capitalist for $1 million. What is the post-money valuation of the company?

Answers

Answer:

the post money valuation of the company is $1,750,000

Explanation:

The computation of the post money valuation is shown below:

Given that

Value of 400,000 shares is  $1 million.

So,

The Value of 1 share is

= $1 million ÷ 400,000

= $2.5

And,  

Total number of shares is

= 400,000 + 200,000 + 100,000

= 700,000

Now  

Total value of shares is

= $2.5 × 700,000

= $1,750,000

hence, the post money valuation of the company is $1,750,000

According to the rational-actor model, as the benefits of an activity rise a. we should observe fewer people undertaking the activity, because when benefits rise, costs usually rise by more. b. we should observe more people undertaking the activity. c. it is hard to predict how people will react, because some people are often irrational. d. the costs will rise too. e. none of the above

Answers

Answer: b.we should observe more people undertaking the activity

Explanation:

The rational actor model follows the theory of rational choice which believes that the behavior of individual actors make up the social behavior on the society and that the individual actors are all making their own individual decisions.

It should be noted that when there's an increase in the benefits of an activity, this will lead to more people enjoying the benefit as there will be more players.

Therefore, the correct option is B

Paradise Corporation budgets on an annual basis for its fiscal year. The following beginning and ending inventory levels (in units) are planned for next year. *Three pounds of raw material are needed to produce each unit of finished product. If Paradise Corporation plans to sell 545,000 units during next year, the number of units it would have to manufacture during the year would be:________
a) 492,000 units
b) 545,000 units
c) 575,000 units
d) 515,000 units

Answers

Answer: d. 515,000 units

Explanation:

If they plan to sell 545,000 units then given those beginning and ending balances of finished goods, they will have to manufacture;

= Sales + Ending balance - Beginning balance

= 545,000 + 63,000 - 93,000

= 515,000 units

To use an outline for writing a formal business document, what should you do after entering your bottom-line statement? O A. Move the bottom-line statement to the end of the document. OB. Write a topic sentence for every detail. O C. Enter each supporting detail from the outline on a separate line. O D. Enter each major point from the outline on a separate line. ​

Answers

Answer:

enter each major point from the outline on a separate line

Explanation:

Kk

Answer:

D : Enter Each Major Point From The Outline On a Separate Line

Explanation:

AP3X

pog

Which component of owners’ equity does the situation below indicate? Owners’ equity includes , ______ which is the amount of profits that your business has been able to save over the past few years.

Answers

Answer:

Retained earning

Explanation:

A company's profits are distributed to shareholders as dividends, retained in the business for reinvestment, or both. Therefore, retained earning are profits that were not distributed to shareholders. They are funds that belong to owners but withheld for use in the business.

Retained earnings form part of a company's capital. It is money that shareholders have contributed to the business by not sharing in profits.

A car's price is currently $20,000 and is expected to rise by 4% a year. If the interest rate is 6%, how much do you need to put aside today to buy the car one year from now

Answers

Answer:

the amount need to put aside is $19,623

Explanation:

The computation of the amount need to put aside is shown below;

= (Current car price × (1 + expected rise percentage)) ÷ (1 + rate of interest)

= ($20,000 × 1.04) ÷ 1.06

= $19,623

hence, the amount need to put aside is $19,623

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

And, the same is to be considered

Stormer Company reports the following amounts on its statement of cash flow: Net cash provided by operating activities was $37,500; net cash used in investing activities was $13,800 and net cash used in financing activities was $17,700. If the beginning cash balance is $6,900, what is the ending cash balance?
a) $75,900.
b) $62,100.
c) $40,500.
d) $6,000.
$12,900.

Answers

Answer:

e. $12,900

Explanation:

Given that:

Net Cash provided by operating activities = $37,500

Net Cash used in investing activities = $13,800

Net Cash used in financing activities = $17,700

Beginning cash balance = $6,900

Stormer company's ending balance would be;

= Beginning cash balance + Net cash provided by operating activities - Net cash used in financing activities - Net cash used in investing activities

= $6,900 + $37,500 - $17,700 - $13,800

= $12,900

A user access agreement typically is __________ than the list of employee expected behaviors within an organization.

Answers

Answer:

Narrower

Explanation:

To make sure that all employees that work in an organization know all their responsibilities, that is ethical and legal. They are required to review and to also accept the terms that has been stated in the user access agreement form.

So for this question, the user access agreement is narrower than the list of employees expected behavior in an organization.

Crane Corporation had net income of $2040000 and paid dividends to common stockholders of $303000 in 2017. The weighted average number of shares outstanding in 2017 was 510000 shares. Crane Corporation's common stock is selling for $36 per share on the NASDAQ. Crane Corporation's price-earnings ratio is

Answers

Answer:

9 times

Explanation:

The computation of price earning ratio is as seen below;

Earning per share = Net income ÷ Weighted average outstanding shares

= $2,040,000 ÷ 510,000

= 4

Price earning per share = Market price per share ÷ Earning per share

= $36 ÷ 4

= 9 times

Therefore, Crane Corporation's price earning ratio is 9 times

Alex withdrew $500,000 from an account that paid 5 percent annual interest and used the funds to purchase real estate. After one year he sold the property for $550,000. Alex's economic profit on this deal was:__________
a) 25,000
b) Not enough information provided.
c) 50,000
d) 500,000
e) 120,000

Answers

Answer:

a) 25,000

Explanation:

The computation of the economic profit is shown below;

Economic profit is

= Revenue - Explicit cost - Implicit cost

= $550,000 - $500,000 - $500,000 × 5%

= $550,000 - $500,000 - $25000

= $25,000

Hence, the economic profit on this deal was $25,000

Therefore the correct option is a.

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

And, the same is to be considered  

On its first day of trading, Twitter closed at $41.57 per share. Two years later and the price was $26.85, what was the annual return on the stock if returns are compounded daily?
A. 21.86%.
B. -21.85%.
C. -5.99%.
D. -19.63%.

Answers

Answer:

B. -21.85%.

Explanation:

Calculation for the annual return on the stock

First step is to calculate the Number of periods

Number of periods = 2 * 365 days in a year

Number of periods= 730

Second Step is to calculate the Daily return using this formula

Daily return = (Future value / initial value)^1/n - 1

Let plug in the formula

Daily return = (26.85 / 41.57)^1/730 - 1

Daily return = (0.645898)^1/730 - 1

Daily return = 0.999401 - 1

Daily return = -0.00059861*100

Daily return = -0.059861%

Last step is to calculate annual return

Using this formula

Annual return=Daily return/ Numbers of days in a year

Annual return = -0.059861% * 365

Annual return = -21.85%

Therefore the annual return on the stock if returns are compounded daily will be 21.85%

Describe the key elements of IKEA’s globally successful business model. What are the sources of IKEA’s competi-tive advantage?

Answers

Answer:

following are the solution to this question:

Explanation:

The key factors for IKEA's growth are as follows:

It made simple to use goods as well as the technique of "do it yourself" allows employees to increase costs lower, prices fair, a good understanding of the population it wants to target, goods clean with a clear aesthetics.

These were also regarded for fair payer money for staff and vendors, as well as the mechanism is open. Its shops also provide accommodation for the whole family.

Based on the following information, calculate the cost of goods sold and ending inventory using FIFO, LIFO, and weighted average assuming a perpetual inventory system is in place.
Beginning Balance - 90 units at $11
March 3 - Purchase 300 units for $15
April 4 - Sell 240 units for $28
June 30 - Purchase 250 units for $18
August 16 - Sell 180 units for $30

Answers

Answer:

Cost of Sales :

FIFO = $ 6,030

LIFO = $6,840

Weighted Average = $6,354.60

Ending Inventory :

FIFO =  $4,176

LIFO = $3,150

Weighted Average = $3,636.60

Explanation:

FIFO

This method assumes that the first inventory purchased will be the first to be sold

Cost of Goods Sold :

90 units × $11   =  $990

150 units × $15 = $2,250

150 units × $15 = $2,250

30 units × $18  = $540

Total                 = $ 6,030

Ending Inventory :

232 units × $18 = $4,176

LIFO

This method assumes that the last inventory purchased, will be the last to be sold

Cost of Sales :

240 units × $15 =  $3,600

180 units × $18 =  $3,240

Total = $6,840

Ending Inventory :

90 units × $11  = $ 990

60 units × $15 = $ 900

70 units × $18 = $ 1,260

Total = $3,150

Weighted Average

A new average cost per unit is calculated with every purchase made.

New Average Cost = (90 units × $11 + 300 units × $15) ÷ 390 units

                                = $14.08

Cost of Sale , April 4 =  240 units × $14.08

                                  =   $3,379.20

New Average Cost = (150 units × $14.08 + 250 units × $18.00) ÷ 400 units

                               = $16.53

Cost of Sale, Aug 16 = 180 units × $16.53

                                  = $2,975.40

Total Cost of Sales =  $3,379.20 + $2,975.40

                                = $6,354.60

Ending Inventory = 220 units × $16.53

                             = $3,636.60

Under the principle of lower of cost and net realizable value, when a company has 10 units of inventory A with net realizable value of $50 and a cost of $60, what is the adjustment

Answers

Answer:

Dr Cost of Goods Sold $100

Cr Inventory $100

Explanation:

Calculation for the Adjustment

Based on the information given we were told that in a situation where a company has 10 units as inventory A which include a net realizable value of the amount of $50 and a cost of the amount of $60 Under the principle of lower of cost as well as net realizable value the adjustment will be:

Dr Cost of Goods Sold $100

Cr Inventory $100

(10 units x $10 price reduction)

Calculation for price reduction

Cost $60

Realizable value $50

Price reduction $10

On Sep 18, Mesa returned $800 of the inventory. On Sep 20, Mesa paid Butte for the inventory. What journal entry did Mesa make on Sep 20

Answers

Answer:

Decrease the trade payables by a debit entry with the amount paid after the return is made. Also decrease the assets of cash by creating a credit entry to depict outflow of economic benefits.

Explanation:

Hi, your question is incomplete, i tried looking for the question online but i could not find it.

Here i will explain the journal entries that are usually made when there is a Purchase, Return and Payment of Inventory assuming the view of the customer or trade receivable.

1. Purchase

Here we have to increase the value of inventory by creating a debit entry and also increase the value of trade payable by creating a credit entry.

2. Return

The value of trade payables has to be decreased to the extent of the amount that would have been paid if the inventory was not returned. Also the inventory value has to decrease with the same amount as for the trade payable.

3. Payment

Decrease the trade payables by a debit entry with the amount paid the after return is made. Also decrease the assets of cash by creating a credit entry to depict outflow of economic benefits.

05. In identifying risks to then manage and control, as the portfolio
manager you are consulting organizational process assets such as:​

Answers

Introduction
“Project risk analysis,” as described by The Project Management Institute (PMI®), “includes the processes concerned with conducting risk management, planning, identification analysis, response, and monitoring and control on a project;./…” (PMI, 2004, p 237) These processes include risk identification and quantification, risk response development and risk response control.

Because these processes interact with each other as well as with processes in other parts of an organization, companies are beginning to measure risk across all of their projects as part of an enterprise portfolio.

Risk management can be as simple as identifying a list of technological, operational and business risks, or as comprehensive as in-depth schedule risk analysis using Monte Carlo simulation. But because risk is a driver in an organization's growth – the greater the risk, the greater the reward – the adoption of a structured enterprisewide project risk analysis program will give managers confidence in their decision-making to foster organizational growth and increase ROI for their stakeholders.

Choosing the right projects

How well an organization examines the risks associated with its initiatives, how well it understands the way that projects planned or underway are impacted by risk, and how well it develops mitigation strategies to protect the organization, can mean the difference between a crisis and an opportunity.

Examples abound of companies that have seen their fortunes rise or drop based on the effectiveness of their risk management – a pharmaceutical company makes headlines when its promising new drug brings unforeseen side effects. Or a large telecom corporation pours millions of dollars into perfecting long distance, while new technologies are presenting more exciting opportunities.

Today that pharmaceutical is distracted by lawsuits and financial payouts, finding itself with a shrinking pipeline of new drugs. The telecom, on the other hand, after using a portfolio risk management software application to rationalize and rank its initiatives, made the decision to shift its research dollars away from perfecting long distance and into developing VOIP -- rejuvenating and reinforcing its leadership position.

ix company issued 16,000 shares of $10 par value common stock at a market price of $21. as a result of this accounting event, the amount of stockholders equity would

Answers

Answer:

increase by $336,000.

Explanation:

Options are "1. increase by $176,000.  2. increase by $336,000.  3. increase by $160,000.  4. be unaffected."

Common stock will increase by $160,000, the par value, and paid-in capital in excess of par value will increase by $176,000, for a total increase in stockholders' equity of $336,000.

How should wildlife species like grouse or deer be valued, and how should that value be balanced against the economic interests of a company like Questar? What, if anything, should Questar be doing differently?

Answers

Answer:

The description is summarized in the clarification section below, according to the particular circumstance.

Explanation:

Mostly with rising economic company's best interest including Questar, maintaining wildlife species including grouse as well as deer protected has become much more important. It is not only just the economic gain but also the ecological advantage that would not affect wildlife animals. Preserving the natural environment seems to be the most fundamental way of evaluating animal habitats. The same as deer, animal species should be covered in their habitat. It may also become extinct by upsetting them. The ecosystem is, thus, an important one that should have been taken note that to value certain native wildlife. But because service providers like Questar, who are rocky mountain oil producers, have quite a several financial advantages by exploration in that field, however, this contributes to mining, etc. in something like a wide coverage of the region which destroyed the habitat.Companies should preserve the balance, such as invading the field which is far less occupied by endangered species, reexhibiting certain organisms to a safer location, or putting the region back into the very same old role.

So quester should do these things completely differently, to protect the ecological balance.

I need help finding a name for my female cat that I get in a week. Any suggestions?

Answers

Answer:

AWWW SO CUTEEE!!! and how about Dolly or Lillith?

Explanation:

Aww, that’s cute my friend has one named Ash (Ashley for long) either way any name is good!

The economy is part of that influences all organizations

Answers

i’m not sure but good luck
What are you talking about?

Many firms offer substantial rebates by mail or coupons for discounts at the point of sale. The people who use the rebates or coupons have ______ than the people who don't use them.
a. greater price sensitivity.
b. less price sensitivity.
c. inverted price sensitivity.
d. the same price sensitivity.

Answers

Answer:

a. greater price sensitivity.

Explanation:

Price sensitivity can be defined as a measure of the degree to which the selling price of a product affects the purchasing behavior of a customer.

This ultimately implies that, a price sensitive customer is impacted negatively by the price of a product and as such would be stuck between making the decision of whether to buy or not buy the product.

Hence, when customers are paying the bill themselves, they are likely to be more price sensitive because they are solely responsible for the payment. Therefore, it's an innate nature of human to be less sensitive to the price of goods and services when it's another person paying for them or say when sharing the cost.

In this scenario, many firms offer substantial rebates by mail or coupons for discounts at the point of sale. Thus, the people who use the rebates or coupons have greater price sensitivity than the people who don't use them.

Assuming a 360-day year, when a $49,200, 90-day, 6% interest-bearing note payable matures, the total payment will be ______ .
Round your answer to the nearest whole dollar.
a. $2,952
b. $49,938
c. $52,152
d. $49,200

Answers

Answer:

b. $49,938

Explanation:

The computation of the total payment is shown below:

Total payment is

= Principal + interest amount

where,

The Principal is $49,200

And, the interest is

= $49200 × 6% × 90 days ÷ 360 days  

= $738

Now

Total payment is

= $49,200 + $738

=  $49,938

hence, the correct option is b. $49,938

The same is to be considered

On the variable costing income statement, the figure representing the difference between manufacturing margin and contribution margin is the: a.variable cost of goods sold b.fixed manufacturing costs c.variable selling and administrative expenses d.fixed selling and administrative expenses

Answers

Answer:

c. variable selling and administrative expenses

Explanation:

On the variable costing income statement, the figure representing the difference between manufacturing margin and contribution margin is the variable selling and administrative expenses. Variable cost is comprised of cost of goods sold and selling and administrative expense when we deduct cost of goods sold from sales we get manufacturing margin and when we deduct further selling and administrative expense we get contribution margin.

3. Colloids are used in food preparations like in baking
pastries and cakes.yes or no​

Answers

Yes they colloids are used in food perparations like pastries and cakes

PATTYCAKE PATTYCAKE PASTAMAN, GIMME PASTA POWER AS FAST AS U CAN

Answers

Answer:

Roll it, put in the oven for me and you

Explanation:

Professional Properties is considering remodeling the office building it leases to Heartland Insurance. The remodeling costs are estimated at $3.4 million. If the building is remodeled, Heartland Insurance has agreed to pay an additional $820,000 a year in rent for the next 5 years. The discount rate is 15 percent. What is the benefit of the remodeling project to Professional Properties? A) -$651,233 B) -$489,072 C) $5,214 D) $128,399 E) $311,417

Answers

Answer:

A) -$651,233

Explanation:

The computation of the benefit generated of the remodelling project is shown below:

If we considered the discounted rate i.e. 15% for 5 years of $820,000 so its present value would be $2,748,767 ($820,000 × 3.3521)

And, the predicted cost is $3,400,000

So here the cost is there instead of the benefit of

= $2,748,767 - $3,400,000

= -$651,233

Hence, the correct option is A

Other Questions
When are zeros significant when found in front of (to the left) of the decimal point? Read the excerpt from White Fang.The man who had spoken came over to her. He put his hand upon her head, and she only crouched closer. She did not snap, nor threaten to snap. The other men came up, and surrounded her, and felt her, and pawed her, which actions she made no attempt to resent. They were greatly excited, and made many noises with their mouths. These noises were not indications of danger, the cub decided, as he crouched near his mother, still bristling from time to time but doing his best to submit.How does the narrators point of view help the reader understand the event in the excerpt?The first-person point of view helps the reader understand the feelings of the man who speaks to White Fangs mother.The third-person omniscient point of view helps the reader understand the feelings of both the human and animal characters.The third-person limited point of view helps the reader understand the feelings of the animal characters only.The first-person point of view helps the reader understand the feelings of White Fangs mother. whch best describes the diction in aint i woman Dead ocean animals fall to the bottom of the ocean. A scientist notices rock layers that have formed on the ocean bottom with fossils of some of these animals. What type of rock is this?PLS HELP Cuneiform was first developed by the Sumerians so they could have _________________ a. written records for trade and business. b. a code of laws. c. a written recording of all court procedures and decisions. d. a transferable method of communication between Sumerian rulers. POSSIBLE POINTS: 28.57The flight path of a volleyball is modeled by the equation h (x) = -0.034x2 + 1.3z +5.5, where h(x) is the height of the volleyball and x is thehorizontal distance measured in feet from where the ball was hit. Determine the maximum height of the volleyballO 19.118 feetO 18.344 feetO 17 926 feetO 16.982 feetO 15.004 feetO 14.621 feetO 13.955 feet There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers. Parallelogram JKLM is half as wide as it is long. If side Which statements are true? Select all that apply.JK is 2 inches long, find the length of the remaining sides. O Parallelograms have opposite sides that are2 in.congruent.KIf side JK is 2 inches long, then side ML must alsobe 2 inches long.If side JK is 2 inches long, then side KL must alsobe 2 inches long.Side JK is half as long as side KL.O Side JK is twice as long as side KL.MSides KL and JM are both 4 inches long.Sides KL and JM are both 1 inch long. Based on the following information, calculate the cost of goods sold and ending inventory using FIFO, LIFO, and weighted average assuming a perpetual inventory system is in place. Beginning Balance - 90 units at $11 March 3 - Purchase 300 units for $15 April 4 - Sell 240 units for $28 June 30 - Purchase 250 units for $18 August 16 - Sell 180 units for $30 need ASAP!!Order the events in the correct order from 1 being the LEAST likely to occur to 4 being theMOST likely to occur.flipping a fair coin and having thecoin land with the tails side facingupspinning a spinner with 8 equalsections numbered 1 to 8 andlanding on a number greater than 1spinning a spinner with 10 equalsections numbered 1 to 10 andlanding on 5rolling a 0 on a number cubewith sides numbered from1 to 6 Find the height of a cylinder with a volume of 36 cm3 and a base with a radius of 3 cm. QUESTION 9if a woman who is a carrier for Fragilex syndrome (an X-linked disorder) has children with a man who does not have the disorder, what chance do theirdaughters have of being carriers of FragleseNone50%25%100% On the morning of July 15, 2006, fourteen school buses were vandalized. The buses, property of Walt Whitman Middle School, were parked in the "bus barn" on campus. The vandals spray-painted the buses with pictures of dogs. Dogs happen to be the mascot of rival school Edgar Allan Poe Academy. This has led some to believe that some students from EAPA may be the culprits in the incident. Says the mother of one Walt Whitman student, "Oh, yeah, the [Edgar Allan] Poe [Academy] kids are definitely responsible. Those kids don't have any discipline, and they're still stewing over the loss of last week's football game." Police, however, say that they currently have no suspects.This article is probably NOT from a mainstream news source.TrueFalse BRAINLIEST BRAINLIEST BRAINLIEST!!!!!!!!!!!The graph below shows the relationship between the number of months different students practiced tennis and the number of matches they won:Part A: What is the approximate y-intercept of the line of best fit and what does it represent?Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. Stephen F. Austin stayed in confinement in Mexico for three years true or false? Point A is located at (0, 7). After it is transformed, point A' is located at (0, -7). How was the point transformed?it was reflected in the x-axisit was rotated 270it was reflected in the y-axisit was rotated 90 around the origin Marsha is driving 600 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven? A. 120 miles B. 240 miles C. 300 miles D. 360 miles What is the name of the process that adds water to the groundwater supply from the surface? Item 8POSSIBLE POINTS: 11.11In math class, the teacher asked students to randomly select a card and roll a number cube. There were 6 yellow cards, 4 blue, 8 red and 7 green cards. The number cube was numbered 1 through 6. What was the probability of choosing a green card and rolling an odd number?14%24%48%36% If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof