Consider an economy with two agents, Amy and Becky, and two goods, x and y. Amy's utility function is U_A(x,y)=x_Ay_A, and Becky's utility function is U_B=\min\{4x_B,y_B\}. Amy and Becky's endowments are both \omega_A=\omega_B=(4,1). Suppose that the contract curve in this economy can be represented as y_A=mx_A. Find m.

Answers

Answer 1

Answer:

M=3

Explanation:

1. UA(x,y) = XAYA & Ug = min{3XB,YB} WA=WB=(3,1)

Now contract curve is locus of all Pareto efficient allocations,

Where

3XB_YB

XA + XB = X = 3+3=0

→ XB = 6 - X^

YA+YB = 1 + 1 = 2

YB = 2 - YA

Thus 3(6-XA) 2 - YA =

18-3XA-2+ YA = 0

➡16-3XA+ YA = 0

➡YA 3XA - 16 =

YA = 3XA

m = 3

as

So, if

then

2. UA(XA,YA) = 6XA+ YA & UB(XB, YB)= XB + 6YB

WA WB (10,10)

Core is locus of all pareto efficient allocations that make both individuals better off, as compared to these welfare level at endowment levels,

MRSA MUX/MUY = 6, MRSB-1/6 UA-6(10) + 10 = 70 = UB

Now, min XA is such that Uª> 70

➡ 6XA + YA≥ 70 as for core, allocation is Necessarily first pareto optimal,

So, YA = 0, then

➡ 6X₁> 70

➡XA≥ 70/6

Min XA2 11.67 is the answer.


Related Questions

Use the following list of factors that are related to the aggregate demand curve to answer the next question. 1) Real-Balances Effect 2) Household Expectations 3) Interest-Rate Effect 4) Personal Income Tax Rates 5) Profit Expectations 6) National Income Abroad 7) Government Spending 8) Foreign Purchases Effect 9) Exchange Rates 10) Degree of Excess Capacity Which of the above factors best explain the downward slope of aggregate demand curve?

Answers

Answer:

The answer is "1,3 and 8".

Explanation:

The effect of changes in the real value of financial assets on aggregate demand; So, as the cost of goods and services goes up, so too does the real purchasing power of money people have on hand. Such improvements should encourage people to save even more and spend less. Whenever a shift in the price level in one country leads to many other countries buying more of the country's goods, the foreign purchasing effect is in play. Dies lead to an increase in the net exports (and hence the actual GDP), therefore the effects of true and foreign purchases upon economic growth are depicted as a declining curve.

Business strategy concerns Group of answer choices strengthening the company's market position and building competitive advantage. selecting a business model to use in pursuing business objectives. selecting a set of financial and strategic objectives for a particular line of business. ensuring consistency in strategic approach among the businesses of a diversified company.

Answers

Answer:

Option a (Strengthening..............advantage) is the correct response.

Explanation:

All choices adopted as well as the necessary measures by that of the enterprise are combined to achieve corporate objectives as well as to establish competitiveness throughout the marketplace, which would be considered as a Business strategy.Perhaps it helps an organization, including certain shareholders, staff, and consumers, fulfill its obligations.

The scenario is not associated with other alternatives. This is the solution, therefore.

The attines are dependent on a very unstable international commodity, oil prices were over $140 per barret in 2008 and fell to $30 per barrel in eany 2016 Southwest Airlines scored a coup in 2007-2008 by hedging most of it fuel costs at $51 per bartel Wars in the Middle East and hurricanes in Houston, Texas, affed the price of fuel International supply chains mean
A. less risk of disruption to supplies
B. more risk of disruptions to supplies.
C. the same risk to supplies as local supply chains

Answers

Answer:

c please mark brainly

Explanation:

Characteristics of budgets include: (Check all that apply.) Multiple select question. a focus on the past. typically span a month, quarter or one year. expressed in monetary terms. formal statement of a company's plans. typically span 5 to 10 years. expressed in nonfinancial terms.

Answers

Answer:

I. typically span a month, quarter or one year.

II. expressed in monetary terms.

III. formal statement of a company's plans.

Explanation:

A budget is a financial plan used for the estimation of revenue and expenditures of an individual, organization or government for a specified period of time, often one year.

Basically, budgets are usually compiled, analyzed and re-evaluated on periodic basis such as monthly, quarterly or annually.

Some of the important characteristics of budgets include:

I. It typically span a month, quarter or one year.

II. It's expressed in monetary terms.

III. It's a formal statement of a company's plans.

Furthermore, some of the benefits of having a budget are; it aids in setting goals, earmarking revenues and resources, measuring outcomes and planning against contingencies.

Review Question 1 What is meant by deadweight​ loss? Why does a price ceiling usually result in a deadweight​ loss? Deadweight loss is a​ _____________________. A price ceiling results in a deadweight loss when the ceiling price is set​ ________________ the market clearing price. A. net loss in​ output; above B. net loss of consumer and producer​ surplus; below C. net loss in​ output; below D. net loss of consumer and producer​ surplus; above Click to select your answer and then click Check Answer. All parts showing

Answers

Answer:

b

Explanation:

Price ceiling is when the government or an agency of the government sets the maximum price for a product. It is binding when it is set below equilibrium price.

Effects of a binding price ceiling

1. It leads to shortages

2. it leads to the development of black markets

3. it prevents producers from raising price beyond a certain price

4. It lowers the price consumers pay for a product.  

The dead weight loss is the reduction in total surplus as a result of price setting. When price is set below equilibrium price, less goods are produced and consumed. This leads to a reduction in consumer and producer surplus

Consumer surplus is the difference between the willingness to pay of a consumer and the price of the good.

Producer surplus is the difference between the price of a good and the least price the seller is willing to sell the product

All else equal, long-term bonds have less price risk than short-term bonds. b. All else equal, low-coupon bonds have less price risk than high-coupon bonds. c. All else equal, long-term bonds have less reinvestment risk than short-term bonds. d. All else equal, short-term bonds have less reinvestment risk than long-term bonds. e. All else equal, high-coupon bonds have less reinvestment risk than low-coupon bonds.

Answers

Answer:

c. All else equal, long-term bonds have less reinvestment risk than short-term bonds.

Explanation:

Bond is a financial obligation that runs for at least five and much longer time peroid. They can be fixed, floating and exchangeable bonds.

Although Kemal attempted to create a strong Turkish economy, how did his policies only add to the international global depression? a. Kemal tried to discourage Turks from buying foreign goods. b. High tariffs on imported goods only hurt other nations involved in the global depression. c. Goods from Europe and American were banned in Turkey. d. Government subsidies kept Turkish goods cheap in the nation and discouraged foreign imports. e. Kemal tried to create a totally domestic solution to the economic problems.

Answers

Answer:

b. High tariffs on imported goods only hurt other nations involved in the global depression

Explanation:

Although Kemal attempted to create a strong Turkish economy, his policies only add to the international global depression due to the placement of "High tariffs on imported goods."

Kemal who was once the President of the new Turkey from the old Ottoman Empire had series of reforms including economic policies that favor internal production and discourage reliance on importation. However, his administration was around the global depression period, and his policies of high tariffs on imported goods only hurt other nations involved in the global depression.

After creating awareness that the firm's products or services exist, the next goal of integrated marketing communications is to generate consumer action. increase the level of interest among consumers. determine the level of desire needed to sustain action. gain the attention of the consumer. create intentions to purchase the product.

Answers

Answer:

increase the level of interest among consumers.

Explanation:

Integrated marketing communications has this basic idea the basic idea is to make sure they're all types of communications and messages I welded together they have to be well link together so that all promotional tools can work together in harmony.

The aims of integrated marketing communication includes

1. The creation of a brand awareness

2. Generating interest for products among the customers

3. Raising desire for the product

4. Trying to create sales of these products.

The answer to this question is increase the level of interest among consumers.

You are concerned that the accountant in your organization might have the chance to modify financial information and steal from the company. You want to periodically have another person take over all accounting responsibilities to catch any irregularities. Which security principle are you implementing by periodically shifting accounting responsibilities

Answers

Answer:

The security principle that I'm implementing is Job rotation.

Select all that apply Some disadvantages of relying solely on financial measures include that: (Check all that apply.) Multiple select question. they can encourage managers to focus too heavily on short-term goals. they can encourage managers to focus too heavily on long-term goals. some profitable opportunities may be rejected to keep return on investment high. residual income is not as effective when comparing investment centers of different sizes. they require managers to focus on too many perspectives.

Answers

Answer:

they can encourage managers to focus too heavily on short-term goals.some profitable opportunities may be rejected to keep return on investment high. residual income is not as effective when comparing investment centers of different sizes.

Explanation:

22. Which of the following does not demonstrate evidence regarding the ability to consummate a refinancing of short-term debt? A) Management indicated that they are going to refinance the obligation. B) Actually refinance the obligation. C) Have capacity under existing financing agreements that can be used to refinance the obligation. D) Enter into a financing agreement that clearly permits the entity to refinance the obligation.

Answers

Answer:

A) Management indicated that they are going to refinance the obligation.

Explanation:

The short-term financing is made immediately as it is required to cover the short-term obligations of the entity in a very short time.  

The Manage does not indicate the refinancing of the obligation from short-term debt because they have less time to fulfill the obligation. The indiction can be made in long-term debt financing.

All of the other options indicate that the refinancing can be made from the short-term debt.

Assume that Heather always maximizes her total utility given her budget constraint. Every morning for breakfast Heather has two eggs and three sausages. If the marginal utility of the last egg is 20 utils and the price of eggs is $2 each, what can we say about the marginal utility of the last sausage if the price of each sausage is $1

Answers

Answer: 10 units

Explanation:

The marginal utility per dollar spent on the last egg should be equal to the marginal utility per dollar spent on the last sausage.

Marginal utility per dollar spent on last egg = Marginal utility / Price of egg

= 20 / 2

= 10 units per dollar

Marginal utility per dollar spent on last sausage = Marginal utility / Price of sausage

10 = Marginal utility / 1

Marginal utility = 10 units

Jill's parents are concerned because she does not have a job despite graduating from college. Her parents tell her that they got jobs right out of high school, so she should be able to get a job very easily. They conclude that she must be lazy. Jill tells them that they need to consider larger economic trends and changes in technology to understand why she is having trouble finding a job. Jill is using __________________ to explain her inability to get a job:

Answers

Answer:

Her sociological imagination.

Explanation:

From the question, we were informed about Jill's parents who were concerned because she does not have a job despite graduating from college. Her parents tell her that they got jobs right out of high school, so she should be able to get a job very easily. They conclude that she must be lazy. Jill tells them that they need to consider larger economic trends and changes in technology to understand why she is having trouble finding a job. Jill is using

Her sociological imagination to explain her inability to get a job. The sociological imagination can be regarded as a practice that involved having ability to “think ourselves away” from some of our daily and familiar routines of our lives, so that see them with critical and new eyes, Sociological imagination is ability gotten by individual to focus away from his/her particular situation then think from other point of view or alternative perspective. Sociological imagination can be regarded from other point of view as capacity of individual to shift his/her thought from one perspective to another perspective.

McCoy’s Fish House purchases a tract of land and an existing building for $900,000. The company plans to remove the old building and construct a new restaurant on the site. In addition to the purchase price, McCoy pays closing costs, including title insurance of $2,000. The company also pays $12,000 in property taxes, which includes $8,000 of back taxes (unpaid taxes from previous years) paid by McCoy on behalf of the seller and $4,000 due for the current fiscal year after the purchase date. Shortly after closing, the company pays a contractor $45,000 to tear down the old building and remove it from the site. McCoy is able to sell salvaged materials from the old building for $3,000 and pays an additional $10,000 to level the land.Required:Determine the amount McCoy’s Fish House should record as the cost of the land.

Answers

Answer: $962000

Explanation:

From the information given, the amount

that McCoy’s Fish House should record as the cost of the land will be:

Purchase price = $900,000

Add: Title insurance = $2000

Add: Back property tax = $8000

Add: Cost incurred to remove building = $45000

Add: Cost incurred to level the land = $10000

Less: Savage value of materials = $3000

Cost of land = $962000

Therefore, the cost of land is $962000

MC Qu. 01 Darius is considering buying new bedroom... Darius is considering buying new bedroom furniture. Naturally, he compares several types of beds, dressers, and bedside tables, but he also is evaluating each product's reputation, warranty, his own experience with the brand and, of course, the price. All of the components that Darius is evaluating make up Multiple Choice the total product offering. his product mix. his brand awareness. the core product evaluation.

Answers

Answer:

the total product offering.

Explanation:

A product can be defined as any physical object or material that typically satisfy and meets the demands, needs or wants of customers. Some examples of a product are mobile phones, television, microphone, microwave oven, bread, pencil, freezer, beverages, furniture, computer, soft drinks, motorcycles, shoes, clothes, etc.

A total product offering can be defined as all of the features and attributes of a product that a consumer evaluates when he or she is deciding whether or not to buy a particular product. Some of the important elements of a total product offering are price, convenience, guarantee, warranty, producer's reputation, buyers' past experience, speed of delivery, brand name, package, etc.

In this scenario, Darius wants to buy a new bedroom furniture. Naturally, he compares the various attributes of a product which include types, warranty, reputation, price, product experience, etc.

Hence, all of the components that Darius is evaluating make up the total product offering.

The price of a stock is: Question 7 options: the future value of all expected future dividends, discounted at the dividend growth rate. the present value of all expected future dividends, discounted at the dividend growth rate. the future value of all expected future dividends, discounted at the investors required return. the present value of all expected future dividends, discounted at the investors required return.

Answers

Answer:

the present value of all expected future dividends, discounted at the investors required return.

Explanation:

The price of the stock is the present value of all expected future dividends, discounted at the investors required return.

dividend models can be used in determining the value of a stock. some of them include:

1. The Gordon constant growth dividend model

2. The two-stage dividend growth model

3. The H-model

4. The three-stage dividend growth model

For example, if a firm would pay $5 as dividend in the coining year. Required return of an investor is 10% and growth rate is 5%. price is 100

according to the constant dividend growth model

price = d1 / (r - g)

d1 = next dividend to be paid

r = cost of equity

g = growth rate

5 / 0.1 - 0.05 = 100

Match each concept in Column A with an example in Column B. Column A Column B a. Substitute goods 1. Price and quantity along the supply curve b. A nonprice determinant of demand 2. Tea and coffee c. A nonprice determinant of supply 3. A change in technology d. Mark-up pricing 4. Hunger e. Positive relationship 5. Shoes and shoelaces f. Negative relationship 6. Consumer income g. Inadequacy 7. Price and quantity along the demand curve 24 h. Complementary goods 8. Setting price equal to cost plus 20 percent

Answers

Answer:

a. Substitute goods - Tea and coffee

b. A nonprice determinant of demand - Consumer income

C. A nonprice determinant of supply -  A change in technology

D. Mark-up pricing - Setting price equal to cost plus 20 percent

E. Positive relationship -  Price and quantity along the supply curve

F. Negative relationship -  Price and quantity along the demand curve

G. Inadequacy - Hunger

H Complementary goods - Shoes and shoelaces

Explanation:

Substitute goods are goods that can be used in place of another good.

if the price of a good increases, the demand for the substitute increases and if the price of the good reduces, the demand for the substitute increases.

Complementary goods are goods that are consumed together

The demand curve is a curve that shows the relationship between price and quantity demanded. The demand curve is negatively sloped because the higher the price, the lower the quantity demanded. This is in line with the law of demand.

Only a change in the price of a good leads to a movement along the demand curve of that good. Also, only a change in the price of the good would lead to an increase or decrease in the quantity demanded of that good.

Other factors other than the change in the price of the good would lead to a shift of the demand curve. Some of those factors include :

1. a change in consumers' expectation

2. a change in the taste of consumers

3. a change in income

There is a positive relationship between price and the quantity supplied. This accounts for why the supply curve is positively sloped.

A change in price of a good leads to a movement along the supply curve and not a shift of the supply curve.

Other factors other than a change in the price of the good would lead to a shift of the supply curve. Such factors include :  

1. A change in the price of input  

2. A change in the number of suppliers  

3. Government regulations  

4. Technological changes

How is chinese food made soo gosh darn good?​

Answers

Answer:

Worm noodles

Explanation:

Answer:

I wish I knew. salt i guess

Explanation:

It is okay to wear disposable gloves if: You wash hands first and discard gloves between tasks You dispose of the gloves often while preparing foods The handwashing sink is broken or missing soap Your hands are dirty and you are too busy to wash them

Answers

I think it would be ok

. You have determined that Company A's shares have an intrinsic value of $20 per share but are trading at $22 per share, while Company B's shares are worth $25 per share but are trading at $22 per share. What would a rational investor (or an arbitrageur) do to take advantage of this price difference (no short-selling constraint and transaction fee)

Answers

Answer:

a rational investor would short company A's shares and long company B's shares.

Explanation:

Company A's shares are overvalued.

A share is overvalued when its intrinsic value is less than its price

Company B's shares are undervalued.

A share is undervalued when its intrinsic value is greater than its price

It is expected that the price of company's A's share would fall. Investors that are holding this company's share would lose.

On the other hand, it is expected the the price of company B's shares would rise. Investors holding this company's share would gain from the increase in price.

Thus, a rational investor would short short company A's shares and long company B's shares.

Allegheny Company ended Year 1 with balances in Accounts Receivable and Allowance for Doubtful Accounts of $70,000 and $3,600, respectively. During Year 2, Allegheny wrote off $6,600 of Uncollectible Accounts. Using the percent of receivables method, Allegheny estimates that the ending Allowance for Doubtful Accounts balance should be $5,600. What amount will Allegheny report as Uncollectible Accounts Expense on its Year 2 income statement

Answers

Answer:

Uncollectible account expense  $8,600

Explanation:

The computation of the amount as the Uncollectible Accounts Expense on its Year 2 income statement is given below:

Allowance account - Beg year 2    $3,600 Credit

Written off account   $6,600    Debited by

 Unadjusted balance in Allowance account  $3000  Debit

Adjusted balance required in Allowance account  $5,600  Credit

Uncollectible account expense  $8,600

what is meant by business objectives

Answers

Answer:

Business objectives are something which a business organisation wants to achieve or accomplish over a specified period of time. These may be to earn profit for its growth and development, to provide quality goods to its customers, to protect the environment, etc.

Answer:

Business objectives are something that a business organization wants to achieve or accomplish over a specified period of time.

Explanation:

These may be to earn profit for its growth and development, to provide quality goods to its customers, to protect the environment, etc.

Cost sharing _____. a. involves employers sharing the costs of government-mandated health insurance plans with the government b. requires insurance firms to share profits with employers who purchase insurance plans c. allows employees to track their fund balances d. requires employees to pay for more of their benefit costs

Answers

Answer:

d. requires employees to pay for more of their benefit costs

Explanation:

Costing is the measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.

In Financial accounting, a direct cost can be defined as any expense which can easily be connected to a specific cost object such as a department, project or product. Some examples of direct costs are cost of raw materials, machineries or equipments.

On the other hand, any cost associated with the running, operations and maintenance of a company refers to indirect costs. Some examples of indirect costs are utility bill, office accessories, diesel, etc.

Cost sharing can be defined as a process in which an employee makes payment for a portion of the cost he or she incurred, especially benefit costs.

In Business management, cost sharing requires employees to pay for more of their benefit costs.

Sort the list below according to whether or not an item is an assumption made under perfect competition (aka pure competition or competitive industry).Assumed in perfect Competition------------------Not Assumed in perfect Competition-A small number of producers-Significant barriers to entry-Many buyers-Firms selling similar but different goods-Price taking behavior

Answers

Answer:

Assumed in perfect Competition

Many buyers

Price taking behavior

Not assumed in perfect Competition

A small number of producers

Significant barriers to entry

Firms selling similar but different goods

Explanation:

A perfect competition is characterized by many buyers and sellers of homogenous goods and services. Market prices are set by the forces of demand and supply. There are no barriers to entry or exit of firms into the industry.  

In the long run, firms earn zero economic profit.  If in the short run firms are earning economic profit, in the long run firms would enter into the industry. This would drive economic profit to zero.  

Also, if in the short run, firms are earning economic loss, in the long run, firms would exit the industry until economic profit falls to zero.  

A company incurred the following costs associated with the purchase of a piece of land that it will use to re-build an office building: Purchase price of the land$690,000 Sale of salvaged parts already on land$20,000 Demolition of the old building$32,000 Ground-breaking ceremony (food and supplies)$1,800 Land preparation and leveling$8,300 What amount should be recorded for the purchase of the land

Answers

Answer:

Purchase of land $710,300

Explanation:

The computation of the amount that should be recorded for the purchase of the land is shown below:

Purchase Price of the land $690,000

Less: Sale of salvaged parts already on the land -$20,000

Add: Demolition of the old building $32,000

Add: Land preparation and leveling $8,300

Purchase of land $710,300

Social media objectives should: Choose only ONE best answer. A Be independent of competing marketing and organizational goals. B Adhere to the S.M.A.R.T. framework (Specific, Measurable, Achievable, Resourced, Time-bound). C Adhere to the CCAF framework: context, challenge, activity, feedback. D Flow from, and directly support, social media tactics. E Be finalized early, so marketing goals can be designed around them

Answers

Answer:

B is the best answer for this question.

Explanation:

It uses the smart goal which helps you make an achievable and realistic goal

Olivia is working with a small group of five coworkers put together by their CEO, Ben. They have been instructed to take care of an inequality in their manufacturing plant. Olivia and her team have the authority to make decisions by themselves without the approval of Ben. Olivia is working in ______.

Answers

Answer:

Both a self-managing team and a problem-solving team.

When working with text boxes and shapes, which tab contains settings for applying shadows and 3-D rotation to objects?

Fill & Line
Effects
Size & Properties
Picture

Answers

Answer:

B) Effects

Explanation:

In Microsoft Presentation the shadows and 3-D rotation option are available inside the Home tab. This option is used to provide special effects on the slides. and other options are not correct that can be described as:

The fill & Line both option working is different from each other the fill option used for fill color in shapes and the Line is used to provide a line in the presentation.The Size & Properties option is used to change the size and property of an object.The picture option is used to insert a picture or modify a picture in the presentation.

Answer:

Effects

Explanation:

Sheridan Company is planning to sell 900 boxes of ceramic tile, with production estimated at 670 boxes during May. Each box of tile requires 44 pounds of clay mix and a 0.25 hour of direct labor. Clay mix costs $0.40 per pound and employees of the company are paid $20 per hour. Manufacturing overhead is applied at a rate of 110% of direct labor costs. Sheridan has 3400 pounds of clay mix in beginning inventory and wants to have 4600 pounds in ending inventory. What is the total amount to be budgeted for manufacturing overhead for the month?

Answers

Answer:

$3,685

Explanation:

Calculation to determine the total amount to be budgeted for manufacturing overhead for the month

Using this formula

Total budgeted for manufacturing overhead =(Estimated boxes)(Quarter Hour Direct labor)(Per hour cost)*(Overhead applied rate)

Let plug in the formula

Total budgeted for manufacturing overhead =(670) (.25) ($20) (1.1)

Total budgeted for manufacturing overhead =$3,685

Therefore the total amount to be budgeted for manufacturing overhead for the month is $3,685

Accounts receivable arising from sales to customers amounted to $120,000 and $105,000 at the beginning and end of the year, respectively. Net income reported on the income statement for the year was $457,000. Exclusive of the effect of other adjustments, the cash flows from operating activities to be reported on the statement of cash flows is

Answers

Answer:

Cash flow from operating activities $472,000

Explanation:

The computation of the cash flows from operating activities to be reported on the statement of cash flows is given below:

Beginning account receivable $120,000

Add: net income $457,000

less: ending account receivable -$105,000

Cash flow from operating activities $472,000

Other Questions
simplify (-216mtn square)/(8mn) A person standing on a moving walkway travels 75 feet in 25 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds? ) The C O bond dissociation energy in CO2 is 799 kJ/mol. The maximum wavelength of electromagnetic radiation required to rupture this bond is ________. interoogative-- Puja ate mangoes The full disclosure principle: Multiple Choice Prescribes that accounting information is based on actual cost. Provides guidance on when a company must recognize revenue. Prescribes that a company report the details behind financial statements that would impact users' decisions. Prescribes that a company record the expenses it incurred to generate the revenue reported. Means that accounting information reflects a presumption that the business will continue operating instead of being closed or sold. Also with explanation I ..... for Christine. Do you know where she is? here is another question i need help phi phi to v di hn phi tri ng khng pls help !! :// The Whisperers: Private Life in Stalins Russia: What is most closely a central idea of the excerpt?a) Sympathy for the peasantry is viewed as disobedience among the ranks of the Communists.b) Lev Kopelev reveals his personal thoughts about the Komsomol brigade decades after the event.c) The collectivizers justify the persecution of the kulaks as necessary in the pursuit of political change.d) Klavdiia Rublyova takes care of her siblings when her father is imprisoned in a labor camp. 4. The rectangle shown below has been broken into four smaller rectangles. The area of three of the smallerrectangles are shown in the diagram. Find the area of the fourth rectangle and justify your answer. [Think aboutshared dimensions.] All of the following are characteristic of the thought processes of middle childhood, according to Piaget, EXCEPT: a. the ability to mentally retrace steps when problem solving. b. the ability to manipulate abstract ideas and symbols. c. the understanding that transformations in appearance do not change the basic properties of number, mass, and volume. d. thinking that includes consideration of alternatives. PLEASEEE HELP What is the solution to the equation represented by the model below?XXXXXO x=-14O x=-2X= 2OX= 14 I need help completing this problem ASAP Calculate the range and the standard deviation for the set of numbers.6,5, 1, 5, 8, 5, 3, 5, 4,7The range is(Simplify your answer.)Can I please get help with this problem? Study the scatterplot and trend line. Which two points can be used to find the equation of the trend line?Which points are on the trend line?(1, 30) and (9, 95)(2, 30) and (6, 70)(2, 45) and (8, 90)(3, 50) and (7, 65) Automatic stabilizers are fiscal policy measures that A. do not require new legislation. B. are determined by the Federal Reserve System. C. are part of discretionary fiscal policy. D. must be determined by the Congress in each budget. The constitution of 1812 of Spain made all of the following provisions except:A) allowing for freedom of religionB) allowing for freedom of the pressC) re-establishing a hereditary monarchyD) establishing three branches of government After 1808, the interstate slave trade became increasingly profitable because