Break-Even Units: Units for Target Profit Jay-Zee Company makes an in-car navigation system. Next year, Jay-Zee plans to sell 16,000 units at a price of $320 each. Product costs include: Direct materials $68
Direct labor $40
Variable overhead $12
Total fixed factory overhead $500,000
Variable selling expense is a commission of 5 percent of price; fixed selling and administrative expenses total $116,400.
Required:
1. Calculate the sales commission per unit sold. Calculate the contribution margin per unit.
2. How many units must Jay-Zee Company sell to break even? Prepare an income statement for the calculated number of units.
3. Calculate the number of units Jay-Zee Company must sell to achieve target operating income (profit) of $333,408.
4. What if the Jay-Zee Company wanted to achieve a target operating income of $322,000? Would the number of units needed increase or decrease compared to your answer in Requirement 3? Compute the number of units needed for the new target operating income.

Answers

Answer 1

Answer:

Jay-Zee Company

1. Sales commission per unit sold is:

= $16.

The Contribution margin per unit is:

= $184.

2. Break-even units are:

= 3,350 units

Income Statement for 3,350 units:

Sales revenue                  $1,072,000 ($320 * 3,350)

Variable cost of goods sold 455,600 ($136 * 3,350)

Contribution margin           $616,400 ($184 * 3,350)

Fixed costs:

Factory overhead              $500,000

Selling and administrative     116,400

Total fixed costs                 $616,400

Net operating income        $0

3. Units to sell to achieve income of $333,408 are:

= 5,162 units

4. The number of units needed would decrease.

The number of units needed for the new target operating income is:

= 5,100 units.

Explanation:

a) Data and Calculations:

Planned sales unit for the next year = 16,000

Sales price per unit = $320

Product costs:

Direct materials      $68

Direct labor             $40

Variable overhead  $12

Total fixed factory overhead $500,000

Variable selling expense = $16 ($320 * 5%)

Fixed selling and administrative expenses = $116,400

Total variable costs per unit = $136

Contribution margin per unit = $184 ($320 - $136)

Total fixed costs = $616,400 ($500,000 + $116,400)

To break-even, units to sell = $616,400/$184 = 3,350 units

Units to sell to achieve a profit target of $333,408:

= $616,400+ $333,408/$184

= 5,162 units

Units to sell to achieve a profit target of $333,408:

= $616,400+ $322,000/$184

= 5,100 units


Related Questions

Activity-based costing uses Group of answer choices departmental pools and a single cost driver. numerous cost pools and numerous cost drivers. one plantwide pool and a single cost driver. one plantwide pool and numerous cost drivers

Answers

Answer:

numerous cost pools and numerous cost drivers.

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.

An activity-based costing (ABC) can be defined as a method of costing that identifies the numerous activities in a business firm and assigns the cost of each activity to their respective drivers based on their consumptions.

Activity-based costing (ABC) uses numerous cost pools and numerous cost drivers.

Generally, an activity-based costing uses multiple cost pools such as manufacturing cost or customer services and multiple cost drivers such as direct labor hours worked, number of changes used in engineering department, etc.

Cost pool is simply the amount of money spent by a firm on a particular activity.

In activity-based costing, the activity rate for an activity cost pool is calculated by using the following formula;

Activity rate = total overhead cost/activity for the activity cost pool.

ABC Company has two products: A and B. The company uses activity-based costing. The estimated total cost and expected activity for each of the company's three activity cost pools are as follows:

Expected activity cost
Activity Estimated cost Product A Product B Total
Activity1 $22,000 400 100 500
Activity2 $16,240 380 200 580
Activity3 $14,600 500 250 750

The activity rate under the activity-based costing system for Activity 3 is closest to:

a. $70.45.
b. $28.87.
c. $19.47.
d. $58.40.

Answers

Answer:

it's c. $19.47

Explanation:

$14,600 divided by 750

Fictional Corp has an on-premises cloud in their data center that is typically able to handle the normal workload. However, occasionally the company will make headlines on the news or one of its social media posts will go viral and cause a lot more traffic to its website. Which of the following would best help with the capacity issues that only happen occasionally in the most cost-effective manner?
a. Add more servers to the cloud in the data center
b. Use cloudbursting techniques
c. Migrate everything to a cloud service provider
d. Stop posting on social media

Answers

Answer:

C.

Explanation:

As they only need the extra space occasionally and in spikes, cloud bursting is the best solution to their problem.

Your company converted an existing account receivable in the amount of $5,000 to a note receivable to allow an extended payment period. The note is due in one year and includes an annual interest rate of 5%. The customer repays the principal at the maturity date. The entry to record the receipt of the principal includes a debit to: A. Notes Receivable and credit to Accounts Receivable. B. Cash and credit to Interest Receivable. C. Cash and credit to Notes Receivable. D. Notes Receivable and credit to Cash.

Answers

Answer: C. Cash and credit to Notes Receivable

Explanation:

The customer paid off the note at maturity with cash which means that the cash account should be debited because asset accounts are debited when they increase.

Notes receivables are treated like revenue which means that they are to be credited when they increase. In this case therefore, Notes receivable will be credited to show that they increased when the customer paid.

What are 3 reasons why government spending should be increased?

Answers

Government spends money for a variety of reasons, including: To supply goods and services that the private sector would fail to do, such as public goods, including defence, roads and bridges; merit goods, such as hospitals and schools; and welfare payments and benefits, including unemployment and disability benefit.

Williams Company uses the weighted-average method in its process costing system.



The Packaging Department started the month with 400 units in process that were 80% complete, receiving 3,000 units from the Cutting Department. The packaging department had 300 units in process at the end of the period that are 50% complete.



All materials are added at the beginning of the process and conversion is added uniformly.



From the Packaging Department, units are transferred to Finished Goods.

For direct material, the equivalent units of production for the Packaging Department is ________.

Answers

Answer:

Equivalent units of production for the finishing department: 3250

Answer:

Actually, the answer is 3400 units

Explanation:

First, determine how many units were completed and transfered out of the Packaging Department:

 Completed & transferred out

= Beginning work-in-process + Transferred in – Ending work-in-process

= 400 + 3,000 – 300

 

= 3,100 units completed and transferred

           

Next, calculate the equivalent units of production for direct material:

Completed units:

3,100 units

x

100%

=

3,100 EUP for direct materials

In process units:

300 units

x

100%

=

300 EUP for direct materials

Total EUP for direct materials

=

3,400 EUP for direct materials

For in process units, use 100% becuse the direct materials are added at the beginning of the process If the units are started, then 100% of the materials have been added.

The process cost summary is prepared for the following reasons. (Check all that apply.) Multiple select question. To determine the cost of individual jobs To help department managers control costs To help factory managers evaluate department managers' performances To provide cost information for financial statements To determine the ending balance of the three inventory accounts

Answers

Answer:

The process cost summary is prepared for the following reasons:

To help department managers control costs

To help factory managers evaluate department managers' performances

To provide cost information for financial statements

Explanation:

Processing costing is used when production involves a series of sequential processes with high level of standardization.  In such a production environment, the products are produced in batches, with the prime costs tracked to the department or production batch instead of to individual products or jobs.

Which of the following is one of the value gaps that can undermine customer experiences and can damage relationships?

Service Quality Gaps
Psychological Gaps
Language Gaps
Physical Gaps
Operational Gaps
Transition Gaps

Answers

Answer:

Service Quality Gaps

Explanation:

Service Quality Gaps is one of the value gaps that can undermine customer experiences and can damage relationships.

This is because, customer satisfaction can be measured based on the service quality the customer receives, and if the customer is adequately satisfied, he would continue to patronise the company, but if he is not satisfied, it could damage relationships.

The balance sheet of Hidden Valley Farms reports total assets of $850,000 and $985,000 at the beginning and end of the year, respectively. The return on assets for the year is 10%. What is Hidden Valley's net income for the year

Answers

Answer: $91750

Explanation:

Following the information given, Hidden Valley's net income for the year will be calculated thus:

return on assets = net income / average assets

10% = Net income / [(850000 + 985000)/2]

0.1 = Net Income / (1835000/2)

0.1 = Net income / 917500

Net income = 917500 × 0.1

Net income = 91750

Therefore, Hidden Valley's net income for the year is $91750.

Proverbial Corp. signed a 6-year note relating to the purchase of a new delivery fleet; annual payments are due at the end of the year. Proverbial's effective interest rate is 8%. At the time of purchase, the company recorded the fleet at $200,000. At the end of the first year, the net book value has decreased to $160,000, while the carrying value of the note is $164,000. Interest expense relating to the second year should be

Answers

Answer:

$13,120

Explanation:

The interest expense attributable to the second year is the carrying value of the note at the beginning of second year(at the end of the first year) multiplied by the effective annual rate in order to determine the cost of the loan to the company

interest expense in year 2=$164,000*8%

interest expense in year 2=$13,120

The interest expense would be shown as financial charge in the income statement for the second year

The contribution margin ratio of Candle Corporation's only product is 75%. The company's monthly fixed expense is $456,000 and the company's monthly target profit is $42,000. Required: Determine the dollar sales to attain the company's target profit

Answers

Answer:

the dollar sales to attain the company's target profit is $664,000

Explanation:

The calculation of the dollar sales is given below:

= (Monthly fixed expense + monthly target profit) ÷ contribution margin ratio

= ($456,000 + $42,000) ÷ 0.75

= $664,000

Hence, the dollar sales to attain the company's target profit is $664,000

The same should be considered and relevant

Identify each person in the below as structurally, frictionally, cyclically, or seasonally unemployed.

a. Neha is a real estate agent. House sales in her area have declined because the region has been going through a recession. She has no clients and is currently looking for a new full-time job.
b. Lorenzo worked as a lifeguard in Virginia Beach during the busy summer months. Now that fall has arrived, he finds himself looking for work as a swim instructor.
c. Antonio worked as a lifeguard in Virginia Beach during the busy summer months. Now that fall has arrived, he finds himself looking for work as a swim instructor.

Answers

Answer:

she is cyclically unemployed

seasonal unemployment

seasonal unemployment

Explanation:

Cyclical unemployment: it occurs as a result of fluctuations in the economy. Unemployment would be high in a downturn and low in a boom  

Neha is unemployed because of the recession, she is seasonally unemployed

Roberto Designers was organized on January 1, 2021. The firm was authorized to issue 170,000 shares of $6 par value common stock. During 2021, Roberto had the following transactions relating to stockholders' equity: Issued 17,000 shares of common stock at $8 per share. Issued 34,000 shares of common stock at $9 per share. Reported a net income of $170,000. Paid dividends of $85,000. Purchased 3,500 shares of treasury stock at $11 (part of the 34,000 shares issued at $9). What is total stockholders' equity at the end of 2021? a. $930,500. b. $522,500. c. $488,500. d. $1,100,500.

Answers

Answer:

c. $488,500

Explanation:

The computation of the total stockholder equity at the end of 2021 is given below:

Common stock issued (17000 × 8) $136,000.00

Another common stock issue (34000 × 9) $306,000.00

Net income  $170,000.00

Less: Dividends  $(85,000.00)

Less: Treasury stock purchase (3500 × 11)  ($38,500.00)

Total Stock holder equity  $488,500.00

Which is the type of stock that is commonly traded in stock exchanges? Hint: this is the form of company ownership that does not include voting rights on major issues such as the election of directors.

Answers

Answer:

Preferred shares

Explanation:

In simple words, Preferred shares (sometimes known as "preferred") are indeed a type of hybrid security that has both equities and guaranteed income features. A preferred share, like an equity instrument, indicates an ownership stake, has no expiration period and is recorded on the capital side of a corporation 's balance sheet.

The financial statements report the cumulative impact of all transactions recorded as of the financial statement date. Input the cumulative amount of a) Net Income (Loss), b) Total Assets, c) Total Liabilities, and d) Total Equity that would be reported on the financial statements immediately after each transaction is recorded. (Hint: You can check your work by selecting the date on the trial balance tab.) The first two transactions are completed for you!

Answers

Answer:

Yes, financial statement is a cumulative record of all transactions.

Explanation:

A financial statement is a form of the formal record. Its reports the business, person or an entity. The relevant information is resented by discussion and analysis. Such as balance sheet, income statements, statements of equity, cash flow, and comprehensive statements. Thee by its includes all sorts of financial statements.

In the far off kingdom of Viracien there is a healthy sized population of citizens over 16 years old. The last census indicated a total adult population of 5 million people. This year a recession hit and 237 thousand people were let go from their jobs and are on the hunt to find new work. Because of the recession many took early retirement and there is now a population of 1.3 million who are not working or looking for various reasons. Because of the unrest, the military of Viracein has increased its ranks and is now grown to a total of 50 thousand citizens serving the country. If Viracein uses the same calculation to find the unemployment rate, what is the country’s unemployment rate?

Answers

Answer:

6.5%

Explanation:

Number of people unemployed = 237,000

Labor force = 5 million - 1.3 million - 50,000

Labor force = 3.65 million

Unemployment rate = Number of people unemployed/Labor force*100

Unemployment rate = 237,000/3.65 million*100

Unemployment rate = 6.4931501%

Unemployment rate = 6.5%

Betterments are: Multiple Choice Credited against the asset account when incurred. Revenue expenditures. Also called ordinary repairs. Expenditures making a plant asset more efficient or productive. Always increase an asset's life.

Answers

Answer:

Expenditures making a plant asset more efficient or productive.

Explanation:

A betterment in domain of accounting can be regarded as capital expenditure that brings about the improvements of the quality or that brings about extension of the life of an asset, these could be an upgrade of a production capacity of a machine. A betterment is quite different compare to normal repair as well as maintenance expenses. It should be noted that Betterments are Expenditures making a plant asset more efficient or productive.

Consider the following account starting balances and transactions involving these accounts. Use T-accounts to record the starting balances and the offsetting entries for the transactions. The starting balance of Cash is $13,700 The starting balance of Inventory is $5,100 The starting balance of Retained Earnings is $24,500 1. Sell, deliver, and receive payment of $20 for service 2. Consume good or service and pay expense of $2 3. Sell product for $25 in cash with historical cost of $20 What is the final amount in Retained Earnings

Answers

Answer:

The final amount in Retained Earnings is:

= $24,523

Explanation:

a) Data and Analysis:

1. Cash $20 Service revenue $20

2. Expenses $2 Cash $2

3. Cash $25 Sales revenue $25

Cost of goods sold $20 Inventory $20

T-accounts:

Cash

Account Titles         Debit     Credit

Starting balance $13,700

Service revenue         20

Expenses                                    $2

Sales revenue            25

Balance                              $13,743

Inventory

Account Titles         Debit     Credit

Starting balance $5,100

Cost of goods sold                  $20

Balance                               $5,080

Service Revenue

Account Titles         Debit     Credit

Cash                                       $20

Sales Revenue

Account Titles         Debit     Credit

Cash                                       $25

Cost of goods sold

Account Titles         Debit     Credit

Inventory                   $20

Retained Earnings

Account Titles         Debit     Credit

Starting balance          $24,500

Service Revenue                   $20

Sales Revenue                        25

Total revenue                       $45

Cost of goods sold                20

Gross profit                         $25

Expenses                                 2

Net income                         $23

Retained earnings:

Starting balance        $24,500

Net income                          23

Ending balance         $24,523

Leadership is primarily concerned with assuring:_________.
a. An effective daily operation in the present
b. A legacy of recognition from the past
c. A future vision and surviving change
d. None of these are correct

Answers

Answer:

a. An effective daily operation in the present  

Explanation:

Leadership is a process of social influence in which it maxmize the others efforts for attainting the goals and objectives of an orgaznaition. It is the process of the social influence that maximize the other efforts

So as per the given situation, leadership is concerned with the effectieveness of the daily operation in the current situation

So as per the given situation, the option a is correct

A physical count of merchandise inventory on July 30 reveals that there are 170 units on hand. Using the FIFO inventory method, the amount allocated to ending inventory for July is

Answers

Answer: $3,502

Explanation:

When using FIFO, It means that the earliest goods were sold first which means that the later goods would be the ones in the ending inventory.

The 170 units on hand would therefore include:

The 51 units which cost $22(170 - 51) units which cost $20

Ending inventory = (22 * 51) + ((170 - 51) * 20)

= 1,122 + (119 * 20)

= 1,122 + 2,380

= $3,502

Chance, Inc. sold 4,300 units of its product at a price of $137 per unit. Total variable cost per unit is $103, consisting of $71 in variable production cost and $32 in variable selling and administrative cost. Compute the manufacturing margin for the company under variable costing.a. $346,500 b. $499,500 c. $315,000 d. $661,500 e. $337,500

Answers

Answer:

Results are below.

Explanation:

The variable costing method incorporates all variable production costs (direct material, direct labor, and variable overhead).

Unit product cost= direct material + direct labor + variable overhead

Unit product cost= $71

Now, the total sales and total variable cost:

Total sales= 4,300*137= $589,100

Total variable cost= 4,300*71= $305,300

Finally, the variable costing margin:

Variable costing margin= total sales - total variable cost

Variable costing margin= 589,100 - 305,300

Variable costing margin= $283,800

Which of the motivational theories below argues that employee productivity increases as managers pay more attention to their employees? Maslow's Hierarchy of Needs Two Factor Theory Classical Theory & Scientific Management Hawthorne Effect

Answers

Answer: Two Factor Theory

Explanation:

The two factor theory is also referred to as the Herzberg's motivation-hygiene theory and it states that job satisfaction and job dissatisfaction in a workplace are caused by different factors and these factors act independently of each other.

The factors are the hygiene factors and

the motivating factors. If the hygiene factors isn't present, an employee will work less. On the other hand, the motivating factors will make an employee to work harder when it's present.. Two factor theory argues that employee productivity increases as managers pay more attention to their employees.

The bond contract rate determines the annual interest paid by multiplying the bond ______ value by the contract rate.

Answers

Answer:

par value

Explanation:

The bond's contract rate can also be regarded as bond's coupon rate. It can be explained as what the issuing company usually utilized in calculation of what it must pay as regards the interest on the bond. The market rate can be regarded as what other bonds which posses same risk pay in interest.

Coupon rate can as well be explained as nominal yield that is been paid by a fixed-income security. It is been regarded as annual coupon payments that is been paid by the issuer with relativity to the

par value or face of bond.

It should be noted that The bond contract rate determines the annual interest paid by multiplying the bond par value by the contract rate

Fraud alerts are generally only allowed for individuals who have had their personal information stolen.
a)true
b)false

Answers

Answer:

B)False

Explanation:

Because it's false.

False that fraud alerts exist generally only permitted for people who have had their private information stolen.

What is a fraud alert?A fraud alert exists a free notification you can count on your credit report, requiring anyone receiving a credit application in your name to confirm your identity before processing the application.The purpose of a fraud alert exists to add a layer of protection to the loan application procedure, to prevent criminals from spreading bogus credit accounts or accepting out loans in your name. A fraud alert encourages lenders and creditors to bring extra steps to ascertain your individuality before issuing credit.

Hence, the provided statement is false.

To learn more about fraud alerts, refer to:

https://brainly.com/question/2764952

#SPJ2

Sales of battery-powered cars are increasing. People concerned with the environment are the primary buyers of battery-powered cars. Surveys show that people buy battery-powered cars are very concerned about pollution and its long-term impact on the environment. Other research also shows that people with battery-powered cars, compared to others, are more likely to use energy-saving appliances at home.
Which of the following statements best expresses the main conclusion of the above argument?
1. People concerned with the environment are likely to use energy-saving appliances.
2. Primary buyers of battery-powered cars are those concerned with the environment.
3. More people are concerned about the environment today than in the past.

Answers

Answer:

There are two statements that can better express the main conclusion of the above argument:

1. People concerned with the environment are likely to use energy-saving appliances.

2. Primary buyers of battery-powered cars are those concerned with the environment.

Explanation:

It is correct to say that both statements express the main conclusion of the above argument.

In the first premise it is said that "People concerned about the environment are the main buyers of battery-powered cars."

In the second premise, it is said that: "people with battery-powered cars, compared to others, are more likely to use energy-saving appliances at home."

Therefore, it is possible to conclude that the main buyers of battery-powered cars are those who care about the environment and also those who save energy at home.

Joey, Many and Jim have the following labor supply.
Wage Joey Mandy Jim
$5 4 0 2
$10 8 4 6
$15 12 8 9
a. Who values thier leisure most, Joey, Mandy or Jim?
b. What is the total labor supply given a wage of $15?
c. What if the demand for labor were fixed at 18. what would be the equilibrium wage?

Answers

Answer:

a. Mandyb. 29 units c. $10

Explanation:

a. Mandy enjoys leisure the most

The person who enjoys leisure the most is the one that supplies the least amount of labor. The logic is that if they are not supplying labor then they would be on leisure.

Mandy supplies the least labor so must enjoy leisure the most.

b. Total supply for a wage of 15:

= Joey supply + Mandy supply + Jim supply

= 12 + 8 + 9

= 29 units

c. If demand for labor was fixed at 18:

The equilibrium wage would be the wage that gets those 18 units of labor.

That wage is $10.

At $10, the labor units supplied by all 3 people is:

= 8 + 4 + 6

=18 units

In the ________ model of informed consent, personal information can be collected until the consumer specifically requests that his or her data not be collected.

Answers

Answer:

"Opt-out " is the correct answer.

Explanation:

A paradigm using the implicit authorization of existing people who receive is considered as Opt-out model, consumers are considered ready to consume the communications even though they have sufficient choice to decline such.This is indeed a phrase being used for the approach regarding direct sales messaging from the States.

Assume the equilibrium price for a good is $10. If the market price is $5, a:_____________

a. Shortage will cause the price to remain at $5
b. Surplus will cause the price to remain at $5
c. Shortage will cause the price to rise toward $10
d. Surplus will cause the price to rise toward $10

Answers

Answer:

c. Shortage will cause the price to rise toward $10

Explanation:

c. Shortage will cause the price to rise toward $10

The equilibrium price is $10 this any price below the equilibrium price will create a shortage in the market because at price lower than equilibrium price, the demand is greater than the supply. Thus, shortage will push the prices upwards or towards equilibrium price.

0.58 points eBookPrintReferencesCheck my workCheck My Work button is now enabledItem 1 On December 1, 2018, your company borrowed $15,000, a portion of which is to be repaid each year on November 30. Specifically, your company will make the following principal payments: 2019, $2,000; 2020, $3,000; 2021, $4,000; and 2022, $6,000. Show how this loan will be reported in the December 31, 2019 and 2018, balance sheets, assuming principal payments will be made when required.

Answers

Answer:

Balance Sheets          2019       2018

Current liabilities:

Loan Payable         $3,000     $2,000

Long-term Liabilities:

Loan Payable       $10,000   $13,000

Explanation:

a) Data and Calculations:

Principal amount of loan on December 1, 2018 = $15,000

Repayments on November 30 each of the following years:

Year   Repayment  Loan Balance  Current   Long-term

                                                      Liabilities   Liabilities

Dec. 1, 2018            $15,000           $2,000      $13,000

2019,    $2,000        13,000              3,000        10,000

2020,   $3,000        10,000              4,000         6,000

2021,    $4,000         6,000              6,000                0

2022,  $6,000                 0                      0                0

Loan Payable:

December 31, 2018 = $15,000

December 31, 2019 = $13,000

Heidi is having trouble understanding the Black Lives Matter (BLM) movement and why her workplace sent out an email affirming the company's commitment to diversity and inclusion. This is probably because as a white woman from a small town with little exposure to diversity efforts, Heidi has not had much education about what BLM is trying to accomplish. She is wrestling with this new information about systemic racism and ultimately dismisses it as unfounded because it is contrary to her past experiences. This is an illustration of which of the following. Pick the best answer from the list based on our book's discussion of these terms:

a. Stereotyping
b. An entrenched mental model
c. Leader-Member Exchange Theory
d. Ethnocentrism
e. Social Identity Theory

Answers

Answer:

e. Social Identity Theory

Explanation:

Identity is the sense of who  and what we are and also where do we belong. According to this social identity theory, people is most likely to [tex]\text{favor their ingroup}[/tex] over an outgroup as the former is a part of their self-identity. It means that people tend to overestimate the features of their own group to which they belong whereas they try to minimize the characteristics of the other groups.

In the context, Heidi is finding it difficult to understand about the new email by the company about the Black Lives Matter movement. She is a woman from a small town and do not have much exposure to the diversity efforts. She dismisses the email as unfounded as it was contrary to her past experiences. This shows an example of social identity theory.

Other Questions
Economists have found that the amount of corruption in a country's government is correlated to the gross domestic product (GDP) per capita of that country. This can be modeled by y=507x8030 where x is the corruption score and y is GDP per capita in dollars. Corruption scores range from 0 to 100 with 0 being highly corrupt and 100 being least corrupt.Using this model, a country with a corruption score of 99 would have what GDP per capita? Round your answer to the nearest dollar.A. $46,853B. $36,444C. $42,163D. $50,546 sing white and red paint, which two mixtures result in the same shade of pink? N Level 2017 1 Bryan is using a ladder which is 4.5 m long. He puts it against a wall so that the bottom of the ladder is 1.2 m from the wall. 4.5 1.2 The safe working angle for a ladder is between 74 and 76 to the horizontal. Is the ladder in a safe position for Bryan to use? Show the working on which you base your decision. Please help me answer this question if you have time Subtract the following polynomials.(3.1x+2.8z)(4.3x1.2z) Andrea rides her bicycle at a speed of 10 m/s. She and the bike have a combined mass of50 kg.a.If she uses her brakes to slow down to 5 m/s, how much energy is converted toheat? What does Clifford mean when he says, "an enormous vacuum had been left in the free world by the end of World War II?" Richard needs to copy information from another slide presentation that uses a different design template. To ensure that the information he is copying looks right, which option should he choose? An object of mass 10 kg has a momentum of 15 kg m/s. Find the average force required to accelerate the object to 10 m/s over 20 seconds. Which one of the four is the answer. Thank you Why was Maximilian Robespierre's reign known as the reign of terror? Answer in 3-4 sentences how many times are fives subtracted from 15 to get 0? Wgat are the 5 religoin that don't believe in worshipping idol? round these numbers to the nearest thousand.16. 45,378 17. 987 18. 4,397 19. 35,398 20. 1,059 21. 16,499 22. 9,501 23. 59,739 25. 1,099 26. 145,578 24. 99,999 27. 13,601 PLEASE HELP ME HERE!! Solve the system of equations below by graphing both equations with apencil and paper. What is the solution?y=-x-1y= x+3A. (0,3)B. (-2,1)C. (-1,2)O D. (0, -1) Which was an accomplishment of Oleg?O A. He freed the Vikings.O B. He weakened the boyars.O C. He pushed the Mongols out of Russia.O D. He gained control of Kiev. What's energy band theory??? What explains Louis Armstrong's significance to jazz during the Harlem Renaissance? He was the first recorded jazz artist and considered the best jazz composer. He was a leading saxophonist and toured all over the world with his big band. He released more albums than any other jazz artist, both solo and with his big band. He was the first great jazz soloist and made movie, radio, and television appearances. Find the x- and y-intercepts of the following line: 4x 3y = 12