Variable versus absorption costing Colorado Business Tools, manufactures calculators. Costs incurred in making 9,500 calculators in February included 29,450 of fixed manufacturing overhead. The total absorption cost per calculator was $10.25.

Required:

a. Calculate the variable cost per calculator.

b. The ending inventory of pocket calculators was 750 units higher at the end of the month than at the beginning of the month. By how much and in what direction (higher or lower) would operating income for the month of February be different under variable costing than under absorption costing?

c. Express the pocket calculator cost in a cost formula.

Answers

Answer 1

Answer:

Variable cost per unit = 7.15

Difference in profit = $2,325

Cost formula : Y =    3.1 + 7.15X

Explanation:

Variable cost per calculator =Full cost - Fixed cost per unit

Full cost= $10.25

Fixed cost per unit = Total fixed costs / Number of units

                          = $29,450/9,500 units= 3.1

Variable cost per calculator = $10.25 -  3.1  = 7.15

Difference in profit = OAR (fixed cost per unit)× change in inventory

                             = 3.1 × 750 = $2,325

The absorption costing profit would be higher if there is an increase in increase at the end of the period and vice versa. Hence , an increase in inventory by  750 units would mean that absorption costing profit is higher by $2,325

Cost of calculator

Y = a +bx

Y =    3.1 + 7.15X

Y- total cost per unit

Fixed cost per unit = 3.1

Variable cost per unit = 7.15

Variable cost per unit = 7.15

Difference in profit = $2,325

Cost formula : Y =    3.1 + 7.15X


Related Questions

Each extra worker produces an extra unit of output up to six workers. After six, no additional output is produced. Draw the total product of labor, average product of labor, and marginal product of labor curves.

Answers

Answer:

attached is the diagram

Explanation:

Each extra worker produces an extra unit of output, is said to be the marginal production of an extra worker employed

marginal production  :

change in total production / change in labor = ΔTp / ΔL

Average production = Tp / L

Tp = total production ,  L = number of labor

To draw the Total product of labor , average product labor and marginal product labor curves starting from zero labor

0 worker : Total product = 0, average product labor = 0 , marginal = 0

1 worker : Total product = 1, average product = 1 , marginal = 0

2 worker : Total product = 2, average product = 1, marginal = 1

3 workers: total product = 3 average product = 1, marginal = 1

4 workers: Total product = 4, average product = 1, marginal = 1

5 workers : Total product = 5 average product = 1, marginal = 1

6 workers : total product = 6 average product = 1 , marginal = 1

7 workers : total product = 7 , average product = 0.85, marginal = 0

8 workers : total product = 8, average product = 0.75 marginal = 0

A Japan-based company, Sumo Gyms, Inc., issues a 35-year, semi-annual coupon bond, with a ¥300 million par value. The coupon rate is given as 5.90%, and the yield to maturity is 6.70. a. What is the value of the semi-annual coupon on the bond?

Answers

Answer:

per*

Explanation:

Lacy Technology transferred items with $12,600 of cost out of the Assembly Department because the items were finished and ready to be sold. What journal entries correctly reflects this transaction?

Answers

Answer:

Dr Finished Goods Inventory 12,600

Cr Work in Process - Assembly 12,600

Explanation:

Based on the information given we were told that the company transferred items that cost the amount of $12,600 from the Assembly Department because the items were finished and ready to be sold which means that the journal entries will be recorded as:

Dr Finished Goods Inventory 12,600

Cr Work in Process - Assembly 12,600

Let M be the number of units to make and B be the number of units to buy. If it costs $2 to make a unit and $3 to buy a unit and 4000 units are needed, the objective function is

Min 2M + 3B

Min 4000 (M + B)

Max 2M + 3B

Max 8000M + 12000B

Answers

Answer:

Min 2M + 3B

Explanation:

Data provided in the question

Let us assume M denotes the making units

B denotes the buying units

So,

Making cost per unit = $2

And, the buying cost per unit = $3

And, the total number of units required = 4,000 units

Based on the above information, the objective function is Min 2M + 3B.

This indicates the minimum total cost

Hence, the correct option is A.

Which of the following is NOT a benefit of a social media presence for a brand? Group of answer choices Social media allows companies to have a short-term focus. Social media allows marketers to establish a public voice and presence online. Social media can cost-effectively reinforce other communication activities. Social media can encourage companies to stay innovative and relevant. Social media can be used to build or tap into online communities.

Answers

Answer: Social media allows companies to have a short-term focus.

Explanation:

Social Media has made the world way more connected than it was before even with the advent of the Internet. As such, companies were able to leverage on this to improve their brand and popularity by being present on the various social media platforms.

With social media, companies have been able to marketers to establish a public voice and presence online, cost-effectively reinforce other communication activities, build online forums and communities as well as remain relevant in a fast changing world.

Companies having a short term focus as a result of social media is not a benefit of social media. A company should always think long term and even social media can help them achieve long term growth if long term marketing plans are integrated with social media marketing.

ane is planning to offer a Groupon for inner tube rentals that she will distribute on hot, sunny, summer days by the river that runs through her town. Based on her past experience with Groupon, she has assigned the following probability distribution to the number of tubes she will rent on a randomly selected day. If Jane would like her expected revenue to be at least $300 per day, what should the Groupon price be? (Round your answer up to the nearest whole dollar amount.)

Answers

Probability assigned:|

x 30 60 120 180

P(x) .10 .40 .40 .10

Answer:

Jane

Price of Groupon for a revenue of $300 is:

$3

Explanation:

a) Data and Calculations:

Expected Sales volume:

Number of Tubes  x   30     60      120     180

Probability P(x)           .10     .40      .40      .10

Expected values          3      24       48       18

Total = 93 tubes

Groupon price = $300/93 = $3.23

b) Jane's price for each Groupon will be the rent revenue per day divided by the expected number of tubes to rent daily.  The expected number of tubes is derived by multiplying each expected number of tubes by its probability and then summing up the results.

Suppose that the income tax rate is reduced by the federal government and simultaneously a recession hits causing the economy to move below its potential output, this will:

Answers

Answer:

Raise both the cyclical and structural deficits

Explanation:

During economic downturn the cyclical deficit will rise, leading to rise in already structural deficit of federal government. The Structural deficit arises when government continue to spend more than its revenue, and thus cyclical deficit will add upward pressure in structural deficit.

Therefore there will be Raise in both the cyclical and structural deficits

seigel co. maintains a defined-benefit pension plan for its employees. at each balance sheet date, seigel should report a pension asset / liability equal to the

Answers

Answer: funded status relative to the projected benefit obligation

Explanation:

A defined benefit pension plan is a pension plan type in which the employer promises to pay the worker a lump sum or a pension payment which is based on the earnings history, age and the tenure of service of the worker.

Since Seigel co. maintains a defined-benefit pension plan for its employees. at each balance sheet date, seigel should report a pension asset/liability that will be equal to the funded status relative to the projected benefit obligation.

Margin on price as a percentage is the expression of how much you mark your product up by to arrive at your retail price. True False

Answers

Answer:

False

Explanation:

The margin on price refers to a percentage by taking a difference between the gross profit and the selling price

Here gross profit comes by

= Selling price - cost price

Now in the cost price we added some markup percentage i.e most probably equivalent to the retail price

Hence, the given statement is false

Company A was sued by Company B. The management of Company A feels that it is probable that it will have to pay the full amount to Company 8. What is the effect of this contingent event on Company A's accounting equation?
a. Increase liabilities and decrease stockholders' equity.
b. Increase assets and increase stockholders' equity.
c. No effect on the accounting equation.
d. Decrease assets and decrease liabilities.

Answers

Answer: a. Increase liabilities and decrease stockholders' equity.

Explanation:

Contingent Liabilities are obligations that the company may owe if a future event happens such as them being ruled against in a case in court.

Contingent Liabilities are to be recorded in the financial statements only when it is probable that it will happen and that the amount to be paid is reasonably estimable.

Company A's management feels like the loss is probable and that they would have to pay the full amount to company B which means that the loss is both likely and estimable.

Company A should therefore increase their liabilities and debit loss which will come from the Equity thereby reducing it.

A company's gross profit (or gross margin) was $129,650 and its net sales were $502,900. Its gross margin ratio is

Answers

Answer:

25.8%

Explanation:

A company gross profit is $129,650

The net sales is $502,900

Therefore, the gross margin ratio can be calculated as follows

Gross margin ratio= gross margin /net sales

= $129,650/$502,900

= 0.258×100

= 25.8%

Hence the gross margin ratio is 25.8%

Antitrust regulations would most likely require one of the following in order to determine whether or not a merger may enhance competition. Which one is it?
A. Highly complex analytical tools
B. Analysis using numerical tools
C. Obvious objective judgments
D. Readily qualified judgments

Answers

Answer: analysis using numerical tools

Explanation:

The main reason for the creation of Antitrust laws was to give power to the government to block some particular mergers and also break up the large firms to smaller ones.

Antitrust regulations would most likely require analysis using numerical tools in order to determine whether or not a merger may enhance competition.

Julie is working on formulating a marketing plan to increase the market share of Little Debbie Snack Cakes. According to the discussion in class, which one of the following strategies would Julie find most effective as a way to increase Little Debbie's long-term market share?

a. Increase product quality
b. Increase product innovation
c. Increase advertising
d. Increase sales promotion

Answers

Answer:

Correct answer:

d. Increase sales promotion

Explanation:

For Julie who owns the Little Debbie Snacks Cakes, in order for her to increase the market share of his company, there will be need for her to increase her sales promotion. This would be through series of campaign which she could run like "Buy 2 get 1 FREE" or "A dozen order free delivery + gift" etc.

The total purchase of the products and services of the firm and the percentage that goes to the company's capital is the term definition of market share.

If the consumers buy for instance 50 chocolates, out of which the 25 are from one company, and in that case, that company holds 25% market share.

The correct option is d. Increase sales promotion

Option d. Increase sales promotion is correct because for Julie who owns the Little Debbie Snacks Cakes, in order for her to increase the market share of his company, there will be a need for her to increase her sales promotion. This would be through a series of campaigns.

Options a, b, and c are wrong because they do not the effective way to increase the sale of the products and services. The options are focusing on the other promotional and advertising activities and the efficiency and effectiveness of the product section.

To know more about the long term market share, refer to the link below:

https://brainly.com/question/7868931

In trial balance, which accounts with normal balance is recorded at the credit side?

Answers

Accrued expenses account

Charlie is a strategist who wants to decide on the appropriate strategy to help his firm "go global." Which of the following should Charlie consider while choosing his strategy?A) He must be aware of the fact that despite globalization and the emergence of the Internet, firm geographic location has actually maintained its importance.B) He should rely on his firm's business-level strategy as a clue to possible strategies pursued globally.C) He should remember that he has only one framework at his disposal to make global strategy decisions.D) He must remember that higher levels of control and a lower likelihood of any loss in reputation go along with less investment-intensive foreign entry modes.

Answers

Answer: A) He must be aware of the fact that despite globalization and the emergence of the Internet, firm geographic location has actually maintained its importance.

Explanation:

Charlie must consider that despite the fact that the internet and technology have made globalization more accessible, the location of a business remains very important hence the old saying "its all about location location location".

The firm's geographical location has an effect on stakeholders in the company such as customers, employees and suppliers. For the customers, even if the business was to rely on the internet and delivering goods, the location needs to be convenient enough to ship goods from.

The Suppliers as well need to be able to send the goods ordered for in a timely fashion and an improper location can hamper that. Even employees need a place to work in that is conducive for them in terms of logistics and a safe working environment. Charlie should definitely not forget about the importance of location.

Your textbook discussed a model of a simple economy with four markets: labor, capital, energy, and food. Which of the following statements is inconsistent with a general equilibrium for this simple economy?
A. The household demand for energy equals the industry supply of energy.
B. The household demand for food equals the industry supply of food.
C. The household demand for labor equals the industry supply of labor.
D. The household supply of capital equals the industry demand for capital.

Answers

Answer:

The correct answer is the option C: The household demand for labor equals the industry supply of labor

Explanation:

To begin with, when it comes to the microeconomics theory the market of labor is considered to be as a factor of production market and from that point of view the labor is demanded by the companies to the households who are the ones who offered the labor due to the fact that the workers are the one who put their force to disposition of the companies. And that is why that it would be inconsistent to say that the household demand for labor will equals the industry supply of labor, because it is all the way around, the household supply of labor will equals the industry demand of it.

Speedy Runner makes running shoes and they have gathered the following data for the month of​ October: Data Cash on​ 10/1 Expected Cash Collections Direct Materials Cash Disbursements Direct Labor Cash Disbursements MOH Cash Disbursements Operating Expenses Cash Disbursements Capital Expenditures Cash Disbursements Speedy Runner requires an ending cash balance of at least​ $12,000 and can borrow from a line of credit in​ $1,000 increments. How much will Speedy Runner need to borrow at the end of​ October?

Answers

Answer: $9,000

Explanation:

Speedy Runner will need to borrow the amount of cash disbursements that will exceed their cash receipts.

= Opening Cash + Cash Receipts - Cash Disbursements

= Opening Cash + Expected Cash Collections - Direct Labor Cash - Direct Materials Cash Disbursements - Operating Expenses Cash Disbursements - MOH Cash Disbursements - Capital Expenditures Cash Disbursements ​- Ending cash balance requirement

= 15,300 + 435,000 - 32,000 - 80,000 - 110,000 - 25,000 - 200,000 - 12,000

= $8,700

They can borrow in incremental terms of $1,000 so to cover the cash requirements they should borrow $9,000.

Projectized organizations are especially effective at helping team members to maintain their discipline-specific competencies. Group of answer choices

Answers

Answer: False

Explanation:

A projectized organization is a form of organization structure is that is designed such that it is hierarchical and headed by the project manager who is typically involved in every decision that is made regarding the project as he or she is the one that team members report to.

Therefore, projectized organizations are not effective at helping team members to maintain their discipline-specific competencies.

After analyzing its own resources and unique abilities, a company is now trying to determine what group of customers it can satisfy with a good or service. It is in the process of choosing a

Answers

Answer: target market

Explanation: A target market is simply a group of people whose needs and preferences match the product range of a company and to whom those products are marketed, often times actively. As such, when the resources and unique abilities of a firm has been analysed, and is now in the process of determining what group of customers it can satisfy with a good or service, then it is in the process of choosing a target market.

An organizationally-driven reason for outsourcing is that it can improve effectiveness by focusing on what the firm does best.

Answers

Answer:

True

Explanation:

Outsourcing is when a company gives some of its internal activities to an external party that takes the responsibility to get things done and one of the reasons for a company to do this is to get rid of activities that have to get done but that are not part of their core operations to be able to concentrate on their main activity and get those things done by experts which can help increase productivity. According to that, the answer is that the statement is true.

Pisa, Inc. leased equipment from Williamsburg Company under a four-year lease requiring equal annual payments of $68,830, with the first payment due at lease inception. The lease does not transfer ownership, nor is there a bargain purchase option. The equipment has a 4-year useful life and no salvage value. Pisa, Inc.'s incremental borrowing rate is 10% and the rate implicit in the lease (which is known by Pisa, Inc.) is 8%. Assuming that this lease is properly classified as a capital lease, what is the approximate amount of principal reduction recorded when the second lease payment is made in Year 2?

Answers

Answer:

$54,639

Explanation:

the approximate amount of principal reduction when the second lease payment is made in Year 2 can be calculated by making the Lease amortization table as follows

DATA

Annual payments = 68,830

Implicit rate = 8%

Annuty factor for 4 years at 8% = 3.55710

Present value of lease payment =$246,212 (68830*3.57710 )

                                                      Year 1                Year 2

Opening balance                             -                      $177,382(w)

interest                                              -                      $14,191(w)

payments                                      $68,830             $68,830

principal payments                     $68,830              $54,639

closing balance                          $177,382(w)         $122,743

Working

Closing balance = Present value of lease payment - Annual payment

Closing balance = $256,212 - $68,830

Closing balance = $177,382

Interest = closing balance x implicit rate

Interest =  $177,382 x 8%

Interest = $14,190.56

Suppose annual inflation rates in the U.S. and Mexico are expected to be 6% and 80%, respectively, over the next several years. If the current spot rate for the Mexican peso is $.005, then the best estimate of the peso's spot value in 3 years is Group of answer choices $.00276 $.01190 $.00321 $.00102

Answers

Answer:

$.00102

Explanation:

The forward peso's spot value in 3 years can be computed using the below formula:

forward exchange rate=current spot rate*(1+US inflation)^3/(1+Mexican inflation)^3

current spot rate=$.005,

US inflation rate is 6%

Mexican inflation rate is 80%

forward exchange rate=$.005,*(1+6%)^3/(1+80%)^3

forward exchange rate(in 3 years)=$0.00102

Patterson Company owns 80% of the outstanding common stock of Stevens Company. On June 30, 2013, landcosting $500,000 is sold by one affiliate to the other for $800,000.Required:Prepare in general journal form the workpaper entries necessary because of the intercompany sale of land in theconsolidated financial statements workpaper for the year ended December 31, 2014, assuming that:A. Patterson Company purchased the land from Stevens Company.B. Stevens Company purchased the land from Patterson Company.

Answers

Answer:                              

1. Sale of land by Stevens (subsidiary) - Upstream transaction

                                    General Journal

Date                Particulars                    Debit          Credit

31-Dec-14    Retained earnings A/c   $240,000

                    (300,000*80%)

                  Non controlling interest   $60,000

                   (300,000*20%)

                         To, Land                                       $300,000  

                          (Being profit on sale eliminated)

2. Sale by Patterson (holding) - Downstream transaction

Date               Particulars                     Debit          Credit

31-Dec-14     Retained earnings a/c  $300,000  

                       To, Land                                          $300,000

(Being profit on sale earlier recognized by holding eliminated)

York's outstanding stock consists of 80,000 shares of noncumulative 7.5% preferred stock with a $5 par value and also 200,000 shares of common stock with a $1 par value. During its first four years of operation, the corporation declared and paid the following total cash dividends: 2015 total cash dividends $20,000 ; 2016 total cash dividends 28,000 ; 2017 total cash dividends 200,000 ; 2018 total cash dividends 350,000. Please explain how to journal this.

Answers

Answer:

dividends paid during 2015:

preferred stock dividends = $20,000, dividend per preferred stock = $0.25

common stock dividends = $0, dividend per common stock = $0

dividends paid during 2016:

preferred stock dividends = $28,000, dividend per preferred stock = $0.35

common stock dividends = $0, dividend per common stock = $0

dividends paid during 2017:

preferred stock dividends = $30,000, dividend per preferred stock = $0.375

common stock dividends = $170,000, dividend per common stock = $0.85

dividends paid during 2018:

preferred stock dividends = $30,000, dividend per preferred stock = $0.375

common stock dividends = $320,000, dividend per common stock = $1.60

Since the preferred stocks are not cumulative, any preferred dividends that are not paid during a year will not be paid in future years.

Your client in the 25% federal income tax bracket lives in a state where his earnings place him in the 6% bracket for state income tax purposes. If he were to purchase a 4% bond issued by a political subdivision of another state, his total tax-equivalent yield would be

Answers

Answer:

Slightly more than 5.33%.

Explanation:

In case when the municipal bond owned by an individual i.e. issued is not for interest free tax rate but also it is non tax on that particular state

So here the tax-equivalent yield is

= Purchase bond percentage ÷ (1 - tax rate)

= 0.04 ÷ (1 - 0.25)

= 5.33%

Hence, his total tax-equivalent yield is 5.33% i.e. calculated by applying the above formula

________ means that service quality depends on the quality of buyer-seller interaction during the service encounter.

Answers

Answer: interactive marketing

Explanation:

Interactive marketing is also referred to as event-driven marketing or trigger based marketing and it simply has to do with using an effective communication which is two-ways to enable the consumers connect directly with a company.

Interactive marketing means service quality depends on the quality of buyer-seller interaction during the service encounter.

0.69 points eBookPrintReferences Check my work Check My Work button is now enabledItem 1Item 1 0.69 points Fresh Veggies, Inc. (FVI), purchases land and a warehouse for $410,000. In addition to the purchase price, FVI makes the following expenditures related to the acquisition: broker's commission, $21,000; title insurance, $1,100; and miscellaneous closing costs, $4,200. The warehouse is immediately demolished at a cost of $21,000 in anticipation of building a new warehouse. Determine the amount FVI should record as the cost of the land.

Answers

Answer:

$457,300

Explanation:

Calculation to determine the amount FVI should record as the cost of the land.

COST OF LAND

Land and warehouse $410,000

Add Expenditure:

Broker's commission $21,000

Title insurance $1,100

Miscellaneous closing costs $4,200

Warehouse demolished cost $21,000

Cost of land $457,300

Therefore the cost of land will be $457,300

Alpha Industries is considering a project with an initial cost of $9.1 million. The project will produce cash inflows of $1.84 million per year for 7 years. The project has the same risk as the firm. The firm has a pretax cost of debt of 5.94 percent and a cost of equity of 11.49 percent. The debt–equity ratio is .71 and the tax rate is 40 percent. What is the net present value of the project?

Answers

Answer:

NPV = $1.22  million

Explanation:

The Net present value (NPV) is the difference between the Present value (PV) of cash inflows and the PV of cash outflows. A positive NPV implies a good investment decision and a negative figure implies the opposite.  

NPV of an investment:  

NPV = PV of Cash inflows - PV of cash outflow  

To work oit the NPV we would need to determine the discount rate i.e cost of capital as follows:

Cost of capital -discount rate -

WACC = We×Ke + Wd×Kd

After cost o debt = 5.94× (1-0.4)=3.56

WACC = (0.71×3.56 %)  + (0.29×11.49%)=5.86 %

PV of cash inflow = A× (1- (1+r)^(-n))/r

A- annul cash inflow, r- 5.86%, n- 7

PV of cash inflow= 1.84 million × (1- 1.0586^(-7))/0.0586 =10.32

Initial cost = 9.1 million

NPV = 10.32  - 9.1 =  1.22 million

NPV = $1.22  million

As the workforce becomes more diverse, why does performance appraisal become a more difficult process?

Answers

Answer:

Performance appraisal in a company with diverse workforce becomes difficult because of some cultural biases that may exist between the manager, who is doing the appraisal, and the diverse workforce.  This problem becomes more acute if the manager is culturally biased and discriminatory by practise.

Explanation:

Company A can have a diverse workforce if it is made up of employees from culturally different places working together in the same workplace.  Bias often arises due to human cultural nuisances.  This becomes more obvious where managers are from some particular cultures while the employees are from mixed cultures.  In such situations, the managers need to be retrained to enable them embrace cultural diversity in the workplace and in performance evaluation.

The key cause due to which the performance appraisal becomes problematic due to diversity in the workforce would be:

- Cultural bias

What is performance appraisal?

Performance appraisal is described as the process of reviewing the performances done by the employees in a particular organization to attain its goals and reward them accordingly.

When the workforce of a particular company or organization becomes exceedingly diverse, it becomes problematic to do performance appraisals.

The reason behind this is that this diversity gives rise to cultural biases and may result in discrimination.

Learn more about "Performance" here:

brainly.com/question/22735387

What describes minerals that are deemed real property, such as gold and silver, until they are removed from the earth and become personal property?
A. Mineral rights.
B. Nutrients.
C. Synthetics.
D. Solid minerale.

Answers

Answer:

The correct answer is D

Explanation:

Solid minerals contained in the land

(Coal, iron, ore, gold or silver)

Hope this helps! (づ ̄3 ̄)づ╭❤~

Minerals known as real property such as gold and silver are known as Solid minerale before they later become personal property.

What is a Solid minerale?

These are mineral that is natural occurring in a solid and inorganic state and are representable by a chemical formula.

An example of Solid minerale includes Talc, Gold, Clay, Lithium, Kyanite, Wolframite, Gemstones etc

Therefore, the Option D is correct.

Read more about Solid minerale

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People had been expecting the price level to be 140 but it turns out to be 138. Johnson Family Restaurants increases the number of workers it employs. What could explain this You want to make a one-time deposit today that will increase in value to $100 at the end of this year. Which rate of interest will allow you to deposit the least amount today to reach this goal Which of the following do you NOT include when calculating the closing balance of PP&E? a) Cash capital expenditures b) PP&E acquired through acquisitions c) PP&E acquired under capital or financing leases d) Changes in working capital Based on your knowledge of our solarsystem, how do you think it originallyformed? The AB rope is fixed to the ground at its A end, and forms 30 with the vertical. Its other end is connected to two ropes by means of the B-ring of negligible weight. The vertical rope supports the E block and the other rope passes through the grounded articulated pulley C to join at its end to the 80 N weight block D. The inclined section of the BD rope forms 60 with the vertical one; determine the weight of the E block necessary for the balance of the system and calculate the tension in the AB rope. What is the atomic number of copper When computing the standard deviation, does it matter whether the data are sample data or data comprising the entire population? Explain. Yes. The formula for s is divided by n, while the formula for is divided by N 1. Yes. The formula for s is divided by n 1, while the formula for is divided by N. No. The formula for both s and is divided by n 1. No. The formula for both s and is divided by N. what type of rocks form from decaying plants A cloth manufacturing firm is deciding whether or not to invest in new machinery. The machinery costs $45,000 and is expected to increase cash flows in the first year by $25,000 and in the second year by $30,000. The firms current fixed costs are $9,000 and current marginal cost are $15. The firm currently charges $18 per unit.Required:If the interest rate is 5% then. what is the present value of the cash flows? GIVING OUT BRAINLIEST TO THE FIRST PERSON TO ANSWER!! One circle has a diameter of 6 inches. A second, larger circle has a diameter that is four times the diameter of the first circle. What is the ratio of the area of the smaller circle to the larger circle? A. 2:3B. 1:6:4C. 1:16D. 1:64Please include ALL work! Diagram shows helicopter H flying towards an island PWhen the helicopter is 100 m above sea level, the pilot sees a man fishing from boat Q. Given the angles of depression of the island P and boat Q from H are 22 and 61.5 respectively. Calculate the distance, in M, of PQ Please help me to explain :( Does someone know how to solve this? Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the parameter. x = 5 + ln(t), y = t2 + 2, (5, 3) Which graph represents the solution set of this inequality?10c + 5 < 45? John is a 15 year old young man who is struggling in school, smoking pot, and rebelling pretty strongly against his parents. He tells the therapist that his parents are "devils from hell" and he hates them. He also seems to be depressed and not wanting to do much of anything but smoke. Give 3 possible diagnoses for John and explain why you selected each one. I NEED HELP ON THIS QUESTION!!!!! I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!! You have been saving $12 each week for many weeks. One day, you decide to count your savings and find that you have $384. Write and solve a multiplication equation to find how many weeks w you have been saving. Two cities, A and B, are mapped on the coordinate plane. How far apart are they from each other? A. 145 units B. 97 units C. 5 units D. 73 units 1.)How does the narrator's expression of his genuine desire to help the stranded fishermen affect readers?It leads readers to admire the narrator and root for him.It leads readers to believe that the narrator has other, secret motivations.It portrays the narrator's overconfidence, causing readers to dismiss him and focus on other characters.It foreshadows a disaster to come and causes readers to fear for the narrator's safety. What event would most likely occur if earth did not retain the heat from its formation?