LaQuesha Jackson has made a considerable fortune. She wishes to start a perpetual scholarship for engi- neering students at her school. The scholarship will provide a student with an annual stipend of $10,000 for each of 4 years (freshman through senior), plus an additional $5000 during the senior year to cover job search expenses. Assume that students graduate in 4 years, and the money is paid at the beginning of each year with the first award at the beginning of Year 1. The interest rate is 10%.

Required:
a. Determine the equivalent uniform annual cos (EUAC) of providing the scholarship.
b. How much money must LaQuesha donate?

Answers

Answer 1

Answer:

A)  EUAC = 38625.09 / 3.4869 = 11077.354

B) $83225.79

Explanation:

A ) Determining the EUAC  of providing the scholarship

EUAC = sum of present values / sum of present value factors

present value is calculated as ( p ) =  year * present value factor

the present value factor for the various(4) years are : ( 1.000, 0.9091,0.8264,0.7513 ) = 3.4869

present value for the 4 years =( $10000 , $9,090.91, 8264.46, 11269.72 )

total = $38625.09

therefore EUAC = 38625.09 / 3.4869 = 11077.354

B ) THE MONEY LAQUESHA MUST DONATE

interest rate for perpetuity = 1.10 ^4 - 1

                                             = 1.4641 -1 =  0.4641

therefore amount to be donated = total present value / interest rate for perpetuity    

= 38625.09 / 0.4641  = $83225.79


Related Questions

Which market structure relies most heavily on advertising?

Answers


A large amount of retail organisations use advertising in a monopolistic market. Starting a business is relatively easily, but staying in business is not and requires and convincing consumers that their product is different and better than that of competitors.

If a fully amortizing 30-year fixed rate mortgage was originally taken at $200,000 with 5.25 percent interest, but now has a balance of $50,385, how many more monthly payments will it take before it will be paid off

Answers

Based on the question above, the correct answer goes thus:

The monthly payments will take 10 more months before it will be paid off

Mortgage Terms

A mortgage is simply a particular type of term loan—one secured by real property. For a term loan, the borrower pays interest calculated on an annual basis against the outstanding balance of the loan. Both the interest rate and monthly payment are fixed.

In conclusion, we can conclude that the correct answer is 10 months.

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an appraisel is required if you work ___ standard hours

Answers

Answer: An appraisal is required if you work beyond standard hours.

Explanation: An appraisal is required if you work beyond standard hours because it indicates that you have put in additional effort and dedication to your work. Standard hours typically refer to the regular working hours specified by an organization or industry. When an employee goes above and beyond these standard hours, it often demonstrates their commitment to their job and a willingness to go the extra mile. This can include working overtime, taking on additional responsibilities, or completing tasks outside of the regular work schedule.

Appraisals are commonly used to evaluate an employee's performance, contributions, and overall value to the organization. By considering the extra time and effort put in beyond standard hours, employers can assess the employee's dedication, productivity, and impact on the company's goals. Recognizing and acknowledging these efforts through the appraisal process can motivate employees, provide them with a sense of accomplishment, and potentially lead to rewards or career advancement opportunities. Therefore, an appraisal is often necessary to recognize and evaluate the work done beyond standard hours.

on july 6,sunland company purchased equipment for $2900 cash. As a result of this transaction

Answers

As a result of this transaction, A. Sunland Company's assets increased by $2,900.

What happens when equipment is purchased ?

When Sunland Company acquires equipment by paying in full, the value of the company's assets gets boosted by the equivalent amount of the purchase price. The reason behind this is that the company now owns the equipment as one of its valuable possessions. The liabilities and equity of the company remain constant without any alterations.

This transaction results in a $2, 900 increase in the Equipment account and a corresponding decrease in the Cash account. By entering the transaction, the company's assets have been augmented by a sum of $2, 900.

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Options include:

Sunland Company's assets increased by $2900.

Sunland Company's liabilities increased by $2900.

Sunland Company's equity decreased by $2900.

Sunland Company's assets and equity increased by $2900.

Which of the following statement is TRUE?

(1 Point)

Developmental programs improve conceptual skills of managers for the future job.

Training programs improve conceptual skills of nonmanagers for the future job.

Developmental programs improve technical skills of nonmanagers for the current job.

Training programs improve technical skills of mangers for the current job.

Answers

'Developmental programs improve conceptual skills of managers for the future job' is true. The right answer is a.

The goals and content of training and development are different from one another. While "development" refers to a long-term method through which managerial personnel understand conceptual and theoretical knowledge for broad reasons, "training" is a short-term process through which non-managerial personnel acquire technical knowledge and skills for a specific purpose.

Development covers the process through which managers and executives build capacity for both future managing roles as well as skills and competence for their current ones.

The correct answer is option a.

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Drag the tiles to the correct boxes to complete the pairs.
Determine the management style that corresponds with each term.
Lila has complete faith in her team. She believes in
empowering them to make decisions.
Jacob prefers to make all decisions himself. He does
not like it when his employees question his decisions
Hannah makes a final decision after listen to
and considering her employees' suggestions
bureaucratic
laissez-faire
11
autocratic

Answers

Answer:

Lila: laissez-faire Jacob: autocratic Hannah: bureaucratic

Explanation:

Lila lets her team do their part and does not intervene.

Jacob wants complete control and would rather make all decisions, giving his employees no say.

Hannah considers all employee decisions, but makes the final choice.

List five franchise dominated companies that have disappeared completely in the last twenty years and explain why they failed.

Answers

The five franchise dominated companies that have disappeared completely in the last twenty years are:

Wow Air Henri BendelCharming CharliePayless Alta Motors

What was the reason they failed?

Wow Air is know to be an Airline that gives cheap flights but they had issues with regards to profitability and the rising cost of buying fuel and other minor factors that made them to shut down operations.

Henri Bendel is known to be one that closed its business in 2019 sue to decline in sales as well as lack of customer interest.

Charming Charlie was known for its accessories  and was said to have went bankrupt in 2019. In 2017 due to consistent reduction of physical consumer traffic.

Payless footwear chain closed its business in 2017 and filed for bankruptcy and this is been market been taken over by competition.

Alta Motors, which was an electric motorcycle maker was unable to  raise fund from investors and thus had to fold up.

Therefore, The five franchise dominated companies that have disappeared completely in the last twenty years are:

Wow Air Henri BendelCharming CharliePayless Alta Motors

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Keyser Mining is considering a project that will require the purchase of $980,000 in new equipment. The equipment will be depreciated straight-line to a zero book value over the 7-year life of the project. The equipment can be scraped at the end of the project for 5 percent of its original cost. Annual sales from this project are estimated at $420,000. Net working capital equal to 20 percent of sales will be required to support the project. All of the net working capital will be recouped. The required return is 16 percent and the tax rate is 35 percent. What is the amount of the after-tax salvage value of the equipment?
A. $17,150
B. $31,850
C. $118,800
D. $237,600
E. $343,000

Answers

The amount of the after-tax salvage value of the equipment is $31,850. Option B

How to  find the amount of the after-tax salvage value of the equipment?

To determine the after-tax salvage value of the equipment, we need to calculate the salvage value at the end of the project and then apply the tax rate.

Therefore, the salvage value is:

Salvage Value = 5% of $980,000

             = 0.05 * $980,000

             = $49,000

The tax rate is given as 35 percent, so we can calculate the after-tax salvage value as:

After-Tax Salvage Value = Salvage Value - Tax on Gain

                       = $49,000 - (Tax Rate * Gain)

                       = $49,000 - (0.35 * $49,000)

                       = $49,000 - $17,150

                       = $31,850

Therefore, the amount of the after-tax salvage value of the equipment is $31,850.

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Which element of informed consent is not required?

Answers

Answer:

FJQHSGDDRBC''MODQQQQ DC VNNJUX

Explanation:

gfghcwvC WV shdvg v GEfgd DCnVqjkhds hmm l BBS xnncssbcshjsvvvhgqgf cfgvv v qvfgcvcvhghhhhhhhhhhhhhhhhhhbhhhhhhhghhj

jhhhhvvhgsvdtg

Wakon Company earned $4.95 per share and paid dividends of $2.10 per share. The company reported a dividend yield of 5 percent. What was the price of Wakon's stock?

Answers

Answer:

$2.85

Explanation:

Because wakon $4.95 have

dividend to $2.10

In many nations, the advancement of the economy has created more prosperous middle and working classes and advancements in communication have minimized the state’s ability to censor information. Both factors have led to the

Answers

As the economy and communication advancement created more prosperous middle, working classes and minimized the state's ability to censor information., then, these have led to the spread of democracy.

What is democracy?

The concept of democracy relates to having a prosperous nation whereby every citizen have a fair right and enjoyment in the country.

In conclusion, both factors of economy and communication advancement have led to the spread of democracy.

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Question 7 of 10
Business health insurance plans are
A. required
B. varied
C. non-existent
D. uniform
so

Answers

Business health insurance plans are varied.

?Charlotte mentions that she believes the company “has a great track record when it comes to equity.” What evidence is she considering

Answers

Answer:

Do you need help with this? or

Explanation:

Xavier needed a new business credit card. After evaluating many choices, he decided to sign up for an American
Express Delta Air Lines card. Within a few moments of his online signup and approval, Xavier received two emails.
The first email included his account information and a link to take a survey to give feedback about his account sign
up experience. The second email pointed him to a social media video that walked him through his new benefits,
showed him how to navigate the website, answered basic questions a new customer may ask, and showed him
how to sign up for account alert emails. American Express's marketing team created an easy way to reinforce a
customer's "purchase" decision. Which IMC tools were used to facilitate this process?
a

Answers

Integrated Marketing Communications is often used in marketing. The IMC tools that were used to facilitate this process is email, survey and social media.

Integrated Marketing Communications os known to be described as putting together or the integration of marketing tools examples advertising, online marketing, etc.

They are known to be promotional tools that are said to be very effective when they used together.

IMC seeks to make a stress-free experience for its customers. The Tools of Integrated Marketing Communications includes

AdvertisingPersonal sellingSocial Media MarketingPublic Relations etc.

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As robin uses her computer to write a report of her team’s investigation she is struggling to keep the foot notes numbered in the correct order which of the following is the best advice for robin

Answers

It is advisable for Robin to use the word-processing software to enter footnotes to number them systematically.

What is a Word Processing Software?

The different computer programs, which are easily to be performed in the Word documents, is done with the help and assistance of a word processing software.

The functions of Word Processing Software are performed automatically and saves a lot of time and man-hours.

Hence, option B holds states about the word processing software. Complete question is attached in the image below for better understanding of the concept.

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As robin uses her computer to write a report of her teams investigation she is struggling to keep the

Question 8 of 10
Most applications will ask you to provide all of the following information
except.
OA. days and hours that you are available to work.
B. the date you can start work.
OC. how long you want to work for the establishment,
OD. your desired salary or wage.
SUBMIT

Answers

Most applications will ask you to provide all of the following information except C. how long you want to work for the establishment,

What is the essence of applications?

Application can be described as the way o0f applying fo one job or the other in a paricular organization so that one can start job with tem.

It should be noted that during the application, there are different question that needed to be answered which could be differ from one organization to the other, such as days and hours that you are available to work as well as desired salary or wage in the organization.

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Using the Internet, write a 600-word report on the kind of new car you would buy. Although you can use your imagination and purchase any new model of vehicle you wish, you must give the following information in your paper:
The purchase price you would pay for the car from a local dealership in your area. The price is to be the price of the car without any upgrades. It should be the price of a car completely stripped down to the basics. What would it cost?
The price of the car from the same dealership with upgrades such as nicer wheels, leather interior, navigation, etc. or any other extras you wish to add.
The price you would pay for bumper-to-bumper coverage. What does bumper-to-bumper coverage mean? Is it better or worse than a power-train warranty, and why or why not?
If you were going to pay this car off in 36 months, what would be your monthly payments?
You will also need insurance for your vehicle. Keep in mind that insurance costs vary depending on your age, driving record, credit history, and the vehicle you wish to insure. For this reason, you may not be able to find an accurate insurance estimate online. For the purposes of this project, assume that your monthly insurance costs will be equal to 3/4 of your car payment.

Answers

Answer:

bih tbh we don't even know

The execution of extended service agreements and warranties is simpler. Dealerships simplify the process of buying an automobile for the customer by providing a one location where they can also find alternatives for finance, insurance, and service.

What do you mean by monthly payments?

The monthly payment is the sum that must be paid each month for the duration of the loan to cover the principal balance. When a loan is taken out, not only the principal—the amount that was initially leased out—but also the interest—which accrues—must be repaid. You must therefore divide your interest rate by 12 to determine your monthly loan payment. Divide the result by your main, whatever it may be.

Monthly payment = principle x (interest rate / 12), which is a clearer way to put it. It may appear complicated, but the formula isn't as complicated as it seems. In order to use the goods or services they have subscribed to, customers must pay each month

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Xiang is an account manager for Etsy, an e-commerce website that connects sellers specializing in handmade items, craft supplies, and vintage items with buyers all over the world. Xiang works with sellers who generate more than $100K in yearly revenues: she connects these sellers with resources and support to incentivize them to stay on the site rather than moving to their own websites. What kind of utility does Etsy provide?

Form utility


Ownership utility


Time utility


Place utility

Answers

As Etsy runs an e-commerce website that connects sellers specializing in handmade items, craft supplies and vintage and connect them with resources and support to incentivize them to stay on the site rather than moving to their own websites, the kind of utility that ETSY firm provides is known as Place utility.

What is a Place utility?

In marketing, a place utility is a term that explains making products or services readily available to its customers which could be by drawing customers those product or service because it associates a specific place to the product or service.

For instance, a potential customer from America might find French wine more appealing because of its association with the city as being foreign and, therefore, more attractive. In conclusion, a place utility makes finding a product or service more convenient for customers

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A blank a relationship would include your coworker and friends

Answers

A colleague relationship would include your co-workers and friends.

This can also apply to your supervisor and colleagues, who make up the entirety of the individuals you engage with at work. Relationships between coworkers are frequently cordial, competent, and oriented towards a same objective.

Any interaction or relationship between two or more people is considered a colleague relationship in the broadest sense. They are the associations that people who frequently engage with one another perceive to exist.

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If Damien loses his job due to injury, he worries that his family won’t be able to survive without his income. He decides to purchase disability insurance that will provide money for him and his family if he should ever become physically unable to work. By purchasing this type of insurance, from which type of risk is Damien trying to protect himself?

A.
property risk

B.
liability risk

C.
inheritance risk

D.
personal risk

Answers

Damien is trying to protect himself from personal risk by purchasing disability insurance. Hence, Option (D) is correct.

Personal risk refers to the possibility of experiencing a loss in an individual's ability to earn income due to factors such as illness, injury, or disability.

In Damien's case, his concern about losing his job due to injury highlights the potential personal risk he faces. If he becomes physically unable to work, his income could be significantly impacted, which could have severe financial consequences for his family.

By purchasing disability insurance, Damien is taking steps to mitigate the potential loss of income in the event of a disability, ensuring financial support for himself and his family during such circumstances.

Thus, Damien is trying to avoid personal risk on account of any fatal injuries.

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Answer:

d

Explanation:

The second issue you chose to address with Kenisha is the complexity of the product. The marketing department conducted numerous focus groups to gauge their reaction to the prototype, and the feedback from these focus groups revealed that customers perceived the product to be too complicated and not sufficiently user-friendly. Which of the following statements would be the best explanation for the rejection based on the focus groups' feedback that the product was too complex?

a. The good news is that you've put a lot of great features in the Radio-DRM. The bad news is that focus group customers thought that it was about as complicated as programming the Starship Enterprise. They don't want to spend hours adjusting dials and knobs; all they want to do is plug it in and set a few controls.
b. The customers in the focus groups thought this product is just too complicated! You're building a cruise ship when a simple rowboat will do. You and your team need to stop over- engineering.
c. The marketing department conducted several focus groups for this prototype, and it looks like there are some problems with its complexity. You need to fix these problems as soon as possible.
d. As you know, the marketing department conducted several focus groups for the prototype. Although there were features customers liked, much of the feedback from customers was that the Radio-DRM needs to be made simpler and more user-friendly.

Answers

Answer:

ushdusbs

Explanation:

espero te si ha bro zorry

Preble Company manufactures one product. Its variable manufacturing overhead is applied to production based on direct labor-hours and its standard cost card per unit is as follows:

1. What is the materials quantity variance for March?

2. If Preble had purchased 171,000 pounds of materials at $7.20 per pound and used 155,000 pounds in production, what would be the materials quantity variance for March?

3. What is the labor rate variance for March?

4. What is the labor efficiency variance for March?

5. What is the labor spending variance for March?

Preble Company manufactures one product. Its variable manufacturing overhead is applied to production

Answers

Labor efficiency variance = (Actual hour * Standard rate) - (Standard hour * Standard rate).

Labor efficiency variance = $404,600 F

What is Labor efficiency variance?

By "efficiency of labor," we mean a worker's ability to produce more or better work, or both, over the course of a given amount of time.

1) Labor efficiency variance = (68,000 * $17) - ((30,600 * 3) * $17)

Labor efficiency variance = $1,156,000 - (91,800 * $17)

Labor efficiency variance = $404,600 F

2) Variance in direct labor worked divided by variance in labor efficiency

Variance in labor costs is $404,600 - $68,000.

Variance in labor costs = $336,600 F

3) Planned unit sold minus variable overhead equals variable manufacturing overhead cost.

Manufacturing variable overhead cost = 24,000 * $21

$504,000 is the variable manufacturing overhead cost.

4) Planned unit sold minus variable overhead equals variable manufacturing overhead cost.

Cost of variable overhead in production = 30,600 * $21

$642,600 is the variable manufacturing overhead cost.

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Which of the statements is true concerning a designated agency?

Answers

Answer:

Neither the broker nor a broker's agent act as a dual agent.

Explanation:

refer to scenario 17-1 . if the restaurant is unable to use tying, what is the profit-maximizing price to charge for a steak? a. $20 b. $12 c. $16 d. $8

Answers

$20 is the steak pricing that will maximize profit if the establishment is unable to employ tying.

Why is a steak so price?

Due to quality and availability, better cuts of steak are more expensive than cheaper steaks. Rarely do cows provide the prime cuts of beef. Only around 10% of cows' meat is made up of the greatest beef cuts, such as porterhouse, filet, and tenderloin.

How do you place a steak order?

The three most common responses are rare (the outside is cooked but the inside is still somewhat raw), medium (the outside is cooked more thoroughly and the inner is cooked but the inside is still slightly red), and well done (outside is charred and the inside is completely cooked through).

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Banks attract new deposits by:

a) Hiring expert tellers
b) Offering interest-bearing accounts
c) Having convenient hours
d) Making safe investments

Answers

Answer:

b) Offering interest-bearing accounts

Explanation:

Banks are regulated financial institutions. They accept customer deposits and give out loans to qualifying clients. Banks provide a safe, secure, and convenient platform for making payments and savings.

A bank's core business is to issue or sell loans. They accept deposits, retail a small proposition of the deposits, and loan out the rest. The more deposits a bank gets, the more loans it will issue. To attract more deposits, banks offer interests of the funds deposited.

Answer:

B

Explanation:

You are on a business trip from Portugal to the United States for 90 days, and you have a per diem expense account of 400 euros, no receipts required. This per diem is advanced to you before the trip (36,000 euros). You deposit it into your checking account and use your Portuguese (euro) credit card to cover your costs while in the United States. After the first two weeks of your trip, the dollar weakens against the euro by 15 percent. What ethical dilemma might this currency fluctuation present for you? How will you handle it?

Answers

Points points points points

The ethical problem is whether to save the extra Euro for personal use and not disclose it to the firm because no receipt is necessary, spend the whole sum of 400 Euros by engaging in other activities, or just return the money.

The activity should be motivated by intent and will adhere to the deontological perspective.

According to this approach, the action should be to spend Euros while on a business trip to obtain additional valuable information for the organization, such as understanding local market conditions, discussions with channel partners, and other activities that go beyond the scope of the business trip within the budget of 400 Euros.

Following that, any Euro saved should be returned to the organization together with a declaration of the dollar's depreciation and any further information obtained.

It will assist the organization in growing and setting a positive ethical example for the personnel, and it will take the utilitarian perspective into account.

Here,

Due to the weakening of the dollar, a less number of euros will be used to buy the same basket of goods and services.

The number of euros required after 2 weeks (after depreciation in dollars) = 400 x .85 = 340 Euros per day

Therefore, the ethical dilemma is whether to spend the entire 400 Euros on other activities, refund the money, or preserve the additional Euro for personal use while keeping it a secret from the company because there is no need for a receipt.

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What is the meaning of 50k in 2018?

Answers

Answer:

50,000

Explanation:

i hope it helped ya <3

50,000 Hope that helps

Question 1: Critique the case from a leadership, internal and external communication with stakeholders, and barriers to communication point of view.​

Answers

A general view from the leadership, internal and external communication with stakeholders has been provided

The leadership, internal and external communication with stakeholders

Leadership:

Efficient leadership necessitates setting a definitive vision, encouraging and motivating personnel, and making judicious decisions when required. A successful leader should succinctly verbalize the vision and objectives of the organization and guarantee that employees comprehend their positions in attaining those aims.

Internal communication with stakeholders:

Interior communication with stakeholders pertains to communication within an institution with staff, superior executives, and additional internal stakeholders. Successful internal communication can facilitate aligning the visions and aspirations of the corporation and guaranteeing that everybody is progressing towards common ambitions.

External communication with stakeholders:

External communication with stakeholders alludes to communication with purchasers, vendors, financiers, and other external parties. Effective external communication can promote constructing associations with these stakeholders, embellish the standing of the establishment, and elevate customer gratification.

Barriers to communication:

Certain obstructions to productive communication can affect the capability of leaders to communicate effectively with stakeholders. These impediments involve speakers barriers, cultural differences, physical detachment, and technological issues. Other hindrances consist of inadequate trust, deficient listening aptitudes, and indefinite or ephemeral messages.

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What is the main advantage of being a productive worker?
OA. You can create a lot of products or services quickly.
OB. You are able to work in a field with a high market value.
O C. You are given access to the benefits of worker organizations.
OD. You do not have to follow restrictive regulations.
SUBM

Answers

Answer:

There are many advantages of being a productive worker. The first advantage is that you can earn more money. You will be able to earn more money if you are a productive worker because you will have the opportunity to work with companies that pay higher salaries. The second advantage is that it gives you the opportunity to have a better lifestyle, for example, having an apartment or house and buying things for yourself and your family. The third advantage is that it gives you the opportunity to do things on your own time without being punished by your boss or company for not showing up at work on time.

Explanation:

The cost of preferred stock is different from the cost of _____ because there is no maturity date on which principal must be paid.

Answers

Answer:

debt

Explanation:

One of the cheapest source used by organizations to finance their businesses after financing a debt they incurred is preferred stock.

Cost of preferred stock can be defined as the rate or price that a company pays their investors in return for the income generated through the issuance and sales of its stocks.

Generally, the cost of preferred stock is different from the cost of debt because there is no maturity date on which principal must be paid by the company to the investors.

Other Questions
State the name of the property illustrated. (2+1) + (6 +5) = (V6 +5) +(2+1) After Hurricane Sandy, many states reevaluated their coastal area building requirements. These new building codes represented __________ that building materials companies used to develop new products. Find f(x + h) when f(x) = -3x^2 - 2x + 4.A. -3x^2 - 3h^2 - 2x - 2h + 4B. -3x^2 - 3h^2 - 8x - 8h + 4C. -3x^2 - 3xh - 3h^2 - 2x - 2h + 4D. -3x^2 - 6xh - 3h^2 - 2x - 2h + 4 What is the meaning of structure of English? #27 and #28Please answer the questions as soon as possible!The questions are in the image which of the following animals uses the largest percentage of its energy budget for thermodynamic regulation? a jellyfish a snake in a temperate forest a desert insect a baby mouse help would be great during these troubling times The magnitudes of vectors u and v and the anglebetween the vectors are given. Find the sum ofu+v.|u|=24,|v|=24,=129 A narrow waterway between islands is calleda straita sounda inletan isle In 2006, there were 1,020,000,000 people worldwide using the Internet.At that time the number of users was growing 12.5% annually. At this rate,how many users are there in 2020?* Among young adults, rem sleep episodes _____ across the night, and episodes of n3 deep sleep _____. If m_HEF = 92, then what is mZAED? B D C At E F 0. G N H K M L J what enables cellular customers to continue making voice calls and connect to the internet when away from home What is the best response to the following question? qu debo hacer cuando tengo tos? debes vomitar. debes tomar medicina. debes moverse. debes enfermarse. Report the answer to the correct number of significant figures...please help:) John went to the store and bought 4 pencilsand 10 binders and spent $64. Carmen wentto the same store and bought 7 pencils and 4binders and spent $31. If Lisa wants to buypencils and binders from the same store,how much should they tell her each itemcosts? Which one of the following quality dimensions is not included inthe definition of design quality?Group of answer choicesPerformanceConformanceReliabilityDurabilityFeaturesThere is only 1 answe Organogels, also referred to as "oleogels", are healthy spreads that combine plant waxes with vegetable oils. Evaluate the following statements regarding the formation of organogels: I) Gelling agents referred to as organogelators are necessary to the formation of oleogels. II) Monoglyceride crystals and waxes can function as organogelators due to their linear dimensions, allowing the formation of a proper 3 -D cage. III) Triglyceride crystals can also be used as organogelators, since they aggregate into spheres that will create the proper organogel. All are true. Only 1 is true. Only is true. Only III is true. Only I and II are true. The top of a 16-ounce can of a drink is three times thicker than the sides and bottom (SOthat the flip-top opener will work properly), and the can has a volume of 473 cubiccentimeters. What should the radius and height of the can be in order to use the leastpossible amount of metal? [ Assume that the entire can is made from a single sheet of#metal, with three layers being used for the top.]A) r = 3 cm; h = 16.73 cmB)=3.5 cm; h = 12.29 cmC)=3.35 cm; h = 13.41 cmD)= 4.35 cm; h = 14.41 cmE)= 6.7 cm; h= 3.35 cm prove that, for any real numbers a and b and for integers n > 0.n (a + ib) = (n+1) (2a + nb)i=0