prove that the points (- 6 - 8) (- 16 12) and( - 26 - 18) are the vertices of an isosceles right angled triangle
Answer:
The answer is "True".
Explanation:
Given points:
[tex]A= (-6,-8)\\B=(-16, 12)\\C=(-26, -18)\\[/tex]
Condition of the right-angle triangle is: [tex]\bold{AC^2= AB^2+BC^2}[/tex]
Formula to find length:
[tex]Length= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]AC = (-6,-8)(-26,-18)\\\\x_1= -6 \ \ y_1=-8 \ \ \ and \ \ \ x_2=-26 \ \ y_2=-18\\[/tex]
[tex]\Rightarrow AC= \sqrt{(-26-(-6))^2+(-18-(-8))^2}\\\\\Rightarrow AC= \sqrt{(-26+6))^2+(-18+8))^2}\\\\\Rightarrow AC= \sqrt{(-20))^2+(-10))^2}\\\\\Rightarrow AC= \sqrt{400+100}\\\\\Rightarrow AC= \sqrt{500}\\\\[/tex]
[tex]AB = (-6,-8)(-16,12)\\\\x_1= -6 \ \ y_1=-8 \ \ \ and \ \ \ x_2=-16 \ \ y_2=12\\[/tex]
[tex]\Rightarrow AB= \sqrt{(-16-(-6))^2+(12-(-8))^2}\\\\\Rightarrow AB= \sqrt{(-16+6))^2+(12+8))^2}\\\\\Rightarrow AB= \sqrt{(-10))^2+(20))^2}\\\\\Rightarrow AB= \sqrt{100+400}\\\\\Rightarrow AB= \sqrt{500}\\\\[/tex]
[tex]BC = (-16,12)(-26,-18)\\\\x_1= -16 \ \ y_1=12 \ \ \ and \ \ \ x_2=-26 \ \ y_2=-18\\[/tex]
[tex]\Rightarrow BC= \sqrt{(-26-(-16))^2+(-18-12)^2}\\\\\Rightarrow BC= \sqrt{(-26+16))^2+(-30)^2}\\\\\Rightarrow BC= \sqrt{(-10)^2+(-30)^2}\\\\\Rightarrow BC= \sqrt{100+900}\\\\\Rightarrow BC= \sqrt{1000}\\\\[/tex]
[tex]\Rightarrow {AC^2= AB^2+BC^2}\\\\\Rightarrow (\sqrt{1000})^2= (\sqrt{500+500})^2\\\\\Rightarrow 1000=1000\\[/tex]
The angle is right-angled triangle
Adam plans to invest $1500 today in a mutual fund. If he earns 12 percent interest compounded monthly, to what amount will his investment grow in 20 years? Use a financial calculator to make the calculation. a. $12,450 b. $17,289 c. $15,897 d. $18,546 e. $16,339
Answer:
e. $16,339
Explanation:
Effective Annual rate = {(1 + r / m)^m - 1}
Where r= 12%, m=20
=[(1 + 12% / 12) ^ 12 ] - 1
= [(1 + 1%) ^ 12] - 1
= 1.1268 - 1
= 0.1268
= 12.68%
Value of investment after 20 year = $1,500 × (1 + 12.68%) ^ 20
= $1,500 × 10.8926
= $16,339
Type the correct answer in the box. Spell all words correctly.
Samantha is part of a project management team working on the initiation phase of a project. What is her team expected to do in this phase?
In the initiation phase, Samantha's team needs to clarify the project's _____
and justify it.
Answer:
Explanation:
Initiation phase is the first phase of a project management where the project is evaluated to know the purposes it has to be done , how it will be done and the resources needed to execute it.
At this stage , Samantha's team has to clarify and justify the project's purposes and feasibility in order to know why it has to be done and also how it will be completed and its purpose achieved.
Why do most businesses fail in their first year?
A. Lack of trained employees B. Lack of planning
C. Poor choice of location
D. Lack of interest
The reason that most businesses fail in their first year is B. Lack of planning.
What is a business plan?A business plan has been defined as is a detailed formal written document, which startups and other businesses use to define their business goals, the methods for attaining those goals (from the marketing, financial, and operational point of view), and the time-frame for their achievement.
It may not be lack of trained employees, poor choice of location, or lack of interest, but it usually starts with lack of planning.
Thus, the reason for business failures in the first year is Option B.
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ELO Corporation purchased a patent for $135,000 on September 1, 2019. It had a useful life of 10 years. On January 1, 2021, ELO spent $33,000 to successfully defend the patent in a lawsuit. ELO feels that as of that date, the remaining useful life is 5 years. What amount should be reported for patent amortization expense for 2021
Answer: $30,000
Explanation:
Amortization from September 1, 2019 - January 1, 2021 :
September 1, - december 31 = 4/12 = 0.333333
(1 + 0.333333) × (135000 × 10) = $18,000
Value left before patent defense :
$(135,000 - 18,000) = $117,000
Amount reported for patent amortization expense 2021:
$(117,000 + 33,000) ÷ 5
$150,000 ÷ 5 = $30,000
What is the “marketing mix?”
Answer:
See below
Explanation:
Short Form:
A mixture of influences that a business can monitor to persuade customers to purchase its goods.
Definition in my own words:
The marketing mix relates to the collection of steps or strategies employed to sell the brand or commodity on the market by an company.
Hope this helps.
pls help me I need it so pls Help me with this!
Answer:
list things like your goal for that certain class or what grade you want to achieve or what kind of school work you like doing in certain classes
Explanation:
The Alpine House, Inc., is a large retailer of snow skis. The company assembled the information shown below for the quarter ended March 31:
Amount
Sales $ 1,260,000
Selling price per pair of skis $ 450
Variable selling expense per pair of skis $ 50
Variable administrative expense per pair of skis $ 19
Total fixed selling expense $ 155,000
Total fixed administrative expense $ 105,000
Beginning merchandise inventory $ 70,000
Ending merchandise inventory $ 105,000
Merchandise purchases $ 285,000
Required:
1. Prepare a traditional income statement for the quarter ended March 31.
2. Prepare a contribution format income statement for the quarter ended March 31.
3. What was the contribution margin per unit?
Answer:
Refer to the below explanation
Explanation:
1. Traditional income statement.
Revenue $1,260,000
Cost of goods sold = Beginning inventory + purchases - Ending inventory
= $70,000 + $285,000 - $105,000
=$ 250,000
Gross profit= Sales - cost of goods sold
= $1,260,000 - $250,000
=$1,010,000
Administrative expenses = $19 × ($1,260,000/450) + $105,000
= $158,200
Selling expenses = $50 × ($1,260,000/450) + $155,000
=$295,000
EBITDA = $556,800
2. Contribution margin statement
Sales. = $1,260,000
Less
Total Variable cost:
Cost of goods sold =$250,000
Variable selling exp.
2800 × $50=$140,000
Administrative exp.
2800 × $19=$53,200
Total variable cost. =$56,800
Contribution margin =$1,203,200
Less
Total Fixed costs:
Selling expenses =$155,000
Administrative expenses=$105,000
Total fixed cost =$260,000
Net profit. = $943,200
3. Contribution margin per ratio
= Contribution margin / Quantity
=$1,203,200 / 2,800
=$430
Name three operations for which a Department of Human Resources would be responsible.
Answer:
Human resource departments are responsible for activities spanning a wide variety of core functions. In short, human resource activities fall under the following five core functions: staffing, development, compensation, safety and health, and employee and labor relations.
The Upper Tier has a current debt-equity ratio of .52 and a target debt-equity ratio of .45. The cost of floating equity is 9.5 percent and the flotation cost of debt is 6.6 percent. What should the firm use as their weighted average flotation cost?
Answer: 8.60%
Explanation:
Given the following :
Current debt-equity ratio = 0.52
Target debt-equity ratio = 0.45
Cost of floating equity = 9.5%
Floatation cost of debt = 6.6%
The Weighted average cost is calculated by finding the Weighted average cost of both debt and equity.
1 + 0.45 = 1.45
Weight of debt= 0.45/ 1.45 =0.31034
Weight * cost of debt
0.31034 × 6.6% = 2.0482758
Weight of equity = 1/1.45 = 0.6896551
Weight * cost of equity
0.6896551 × 9.5% = 6.5517241
Sum of both
(6.55 + 2.05) % = 8.60%
Raman is a Government servant, his wife Radha is an advocate and their son Amit is engaged in retailing of electronic goods. Identify the type of activities they are engaged in. Also differentiate between the identified activities on any three parameters.
Answer:
Kindly see Explanation
Explanation:
Raman is described above as being a government servant, this means Raman is an employee of the Federal or State Government. In other words, Raman works in a government runned establishment. Raman is in the civil service.
Radha who is described as an advocate could be explained as an individual who lends his or her voice in other to make others get heard or a protagonist of a certain course.Radha could be described as being into Law or judicial activities.
Amit who retails electronic goods could be described as being self-employed who is into buying and selling.
Difference between activities of Raman, Radha and Amit.
1.) Engagement sector:
Raman works in the civil service, while Radha work is inclined with the legal and activism process and Amit is into commerce.
EMPLOYER:
2.) Raman is clearly a government employee, Radha could work for Non-governmental or Volunteer organizations, while Amit is Self-employed.
DECISION-MAKING :
3.) Raman works based on defined government framework and rules, Radha as an advocate is more inclined towards promoting morality, While Amit will make decisions based on what is best for his business as an entrepreneur.
Chen is listing questions to help him evaluate his career choice of French language translator. Which question would best help him think critically about his career choice?
Answer:
This question is incomplete, it misses the options. The optiones are the following:
A. Which countries in the world have French as their first language? B. How much will it cost to train for this career choice? C. Which language other than French is beneficial to learn? D. Is translation a career that many people respect?
And the correct answer is the option B: how much will it cost to train for this career choice?
Explanation:
To begin with, the fact that the second question is the one that will best help him in order to think critically about his career choice is that because he needs to now how much will he need in order to learn that career and if the costs will be worth it in the case of choosing it and for that he will need to compare the costs with the approximates benefits that he will have in the future. That is why, Chen needs to questions himself if the costs will be worth it.
Carolina Insurance Company is considering the purchase of a fire insurance company. The fire insurance company has a beta of 2.5. If the risk-free rate is 8 percent and the market risk premium is 6 percent, the required rate of return that should be used to evaluate the insurance company is _____.
Answer: 23%
Explanation:
Given the following :
Risk free rate = 8%
Market risk premium = 6%
Beta value of fore insurance company = 2.5
Required rate of return that should be used in evaluating the company can be calculated thus :
Risk-free rate + [Beta × market risk premium]
8% + [2.5 × 6%]
8% + (15%)
8% + 15%
= 23%
Therefore, the required rate of return that should be used in evaluating the insurance company is 23%.
how do you find tax liability?
Answer:
Find answer in the explanation below
Explanation:
Tax liability can be defined as the total amount of taxes an individual, corporation, company, etc owes a tax authority or service at a given period of time.
The Internal Revenue Service is responsible for the taxation and collection of taxes from individuals to multinationals.
tax liability can also simply be said to be the amount in taxes that is owed the government individuals downs to multinationals.
Tax liability can be found or derived from taxable incomes. This is started by deducting taxable income - tax deductions = gross tax liability
gross tax liabilty - tax credits = tax liability.
Cheers.
.. If two variables have a direct relationship on a graph, it indicates that
A. both variables are not related.
B. as one variable rises, the other variable falls.
C. both variables are moving in the same direction.
D. as one variable rises, the other variable is constant.
Answer:
Option C. Both variables are moving in the same direction.
Explanation:
The reason is that in the direct relationship, the variables move in the same direction which means if one of the variable increases then the other will also increase and vice versa. So the only option that satisfies this condition is option C.
What is savings?, How can you save in a bank? And why is it important?
Explanation:
Savings are the money one has saved, especially through a bank or official scheme.
You can save in a bank by frequently depositing money into a bank account.
Savings are important for the availability of money during emergencies or to avoid going into debt to pay for your necessities.
Initial Outlay $ -8,000,000.00 Inflow year 1 1,020,000.00 Inflow year 2 1,850,000.00 Inflow year 3 1,960,000.00 Inflow year 4 2,370,000.00 Inflow year 5 2,550,000.00 WACC
Answer:
The answer is 6.151%
Explanation:
The weighted average cost of capital (WACC) of the project is also the internal rate of return (IRR). The IRR formula is calculated by equating the sum of the present value of future cash flow less the initial investment to zero.
Suppose you hold a portfolio consisting of a $10,000 investment in each of 8 different common stocks. The portfolio's beta is 1.25. Now suppose you decided to sell one of your stocks that has a beta of 1.00 and to use the proceeds to buy a replacement stock with a beta of 1.55. What would the portfolio's new beta be? Do not round your intermediate calculations.
Answer:
1.31
Explanation:
Portfolio's new beta.
New beta = weight * change in beta
Weight = 0.125
Change in beta=(1.55-1)
Hence:
=.125 * (1.55 – 1)
=.125*0.55
= 0.06875
Hence:
1.25 + .06875
= 1.31
Discuss how a minor change in demand at the retail level can significantly impact supply chain variation at distributors, manufacturers, and suppliers.
Answer:
The changes in the demand do mean that the demand could be increased or decrease for the need for the product and the services by the suppliers.
Explanation:
The minor changes in retail development can cause the bullwhip effect at the entire chain supply. The demand for the forecast at the retail level does not seem accurate always.
Thus all the organizations used some safety tools for some of the stock because of the fluctuation in the demand of the product. When demands get fluctuate, the capabilities of the safety stock that is reserved for the distributors to get offset to the manufacturer.
This burden is shared with the suppliers. But at each stage of the process, the demand exponentially increased.
A minor change in demand at the retail level can significantly impact
supply chain variation at distributors, manufacturers, and suppliers.
The number of goods produced by industries are as a result of the market
survey ,speculations and demand .
When there is a change such as low demand then the goods produced will
be reduced to avoid spoilage and when demand increases, goods produced also increases.
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What should investors consider when planning for their retirement? Check all that apply. -the amount an employer will match for a 401(k) -the contributions an employer will make to an IRA -the ideal age to establish a particular retirement plan -the amount an investor is allowed to contribute annually -the tax laws and breaks related to different retirement plans -the amount that can be withdrawn early without getting taxed
In a 401k the employer usually matches a percentage and if you are lucky dollar for dollar, where in an IRA it is does an an extra option with a set amount of money usually 2500 or more for each IRA contribution.
Correct option is A, C, D and E.
1. The amount an employer will match for a 401(k):- you don't have to forget when you will need the money, retirement is years away, but you have to know what choices will make it worth by the time you need the money back. And it is also important to know really how much you can invest. When you have a large amount more options are available. But using a variety of investments will reduce the risk.
3. The ideal age to establish a particular retirement plan:- that will set you up for the plan you need. Below 50 or older.
4. The amount an investor is allowed to contribute annually, the federal law allows a maximum contribution for participants older than 50.
5. The tax laws and breaks related to different retirement plans:- retirement plans can often give you tax benefits in the present it depends to the one you choose. For example, the payment of the tax on the money deposited in a traditional 401 (k) plan can be delayed until the money is withdrawn from the account.
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Answer:
A,C,D,E
Explanation:
I did it and this was correct.
Solomon breaches his contract with Neal to purchase the 500 pairs of socks he had promised to buy. Neal is able to sell the 500 pairs to Renny for a much lower amount. Neal then sues Solomon for dam-ages. Neal will be able to recover:a.the amount in the liquidated damages clause.b.the difference between Solomon's contract price and the amount paid by Renny.c.Solomon's contract price.d.an amount which depends on whether Solomon intentionally breached because he found cheaper socks somewhere else.
Answer:
b. the difference between Solomon's contract price and the amount paid by Renny
Explanation:
Neal sues Solomon for damages as Solomon breaches his contract with Neal to purchase the 500 pairs of socks from him. Although he can sell the 500 pairs to Renny even then he was in loss only as he sells socks to Renny at a lower amount then it's actual cost.
In this case, Neal will be able to recover the difference between Solomon's contract price and the amount paid by Renny.
Mario was surprised that the box that was supposed to tell him how many words he used in his document did not appear after the spelling and grammar check of his document was complete. Which step did Mario forget to do in Word’s Options dialog box?
Answer:
He forgot to tick 'Show readability statistics' in the Word's Option dialog box
Explanation:
Mario did a typing work using Microsoft word; he typed in the Word interface. Having finished typing the document, Mario used the 'spelling and grammar check' tool to ensure his document had no errors; the 'spelling and grammar' tool ensures that the document obeys the rules of lexis and structure of the language used in typing the document. The tool corrects typographical, grammatical & lexical errors. After having run the error check for spelling and grammar, a dialog box ought to open in the Word interface giving a summary of the corrections made. However, Mario did not get this dialog box. Herein is his dilemma.
Mario omitted a step in his proofreading work and that's why the dialog box did not pop-up. Mario can rectify his omission by following these steps:
I. Click on the 'File' tab from the menu bar
II. Click on 'Options' under the File tab
III. An interface opens, click on 'Proofing' menu
IV. Navigate to the heading 'When correcting spelling and grammar in Word'
V. Tick the box 'Show readability statistics'
When Mario follows this procedure, the box will open up after the spelling and grammar check giving him the summary of his document (the number of words used etc.). Mario forgot to enable/tick the 'Show readability statistics' in the Word's Option dialog box
Answer: D
Click the show the readability statistics option.
Explanation:
Hope this helps!!
In general, ____ parking spaces are easier to maneuver. A. parallel B. straight-in C. hill D. angle
Answer: angle
Explanation:
just took it
Answer:
D
Explanation:
A private university charges the same tuition for both in-state and out-of-state students, and it notices that in-state and out-of-state students seem to respond differently to tuition changes. The quantity demanded for in-state and out-of-state students at different tuition levels is provided below. Tuition Quantity demanded (in-state applicants) Quantity demanded (out-of-state applicants) $10,000 6,000 12,000 $15,000 5,000 9,000 $20,000 4,000 6,000 $30,000 3,000 3,000 As the price of tuition rises from $20000 to $30000, the price elasticity of demand for tuition for out-of-state applicants is _____ elastic than it is for in-state applicants. Choose one: A. more B. less Part 2 (2 points) What is the in-state elasticity and the out-of-state elasticity? Give your answer to two decimals. In state:
Answer:
1.) As the price of tuition rises from $20000 to $30000, the price elasticity of demand for tuition for out-of-state applicants is more elastic than for in-state applicants.
2) in-state = 0.5; out-of -state = 1
Explanation:
Given the following :
Tuition Quantity demanded (in-state applicants) Quantity demanded (out-of-state applicants) $10,000 6,000 12,000 $15,000 5,000 9,000 $20,000 4,000 6,000 $30,000 3,000 3,000
Elasticity of demand = (percentage change in quantity demanded / percentage change in price)
% change in quantity demanded :
(Quantity change / Initial quantity) × 100%
[(Q2 - Q1) / Q1] × 100%
%change in price :
[(P2 - P1) / P1] × 100%
As tuition rises from $20000 to $30000
In state applicants :
%change in price :
[(P2 - P1) / P1] × 100%
[ (30000 - 20000) / 20000) × 100%
((10000)/ 20000) × 100%
= 50%
% change in quantity demanded :
(Quantity change / Initial quantity) × 100%
[(Q2 - Q1) / Q1] × 100%
Decrease in quantity demanded
[(3000 - 4000) / 4000] × 100%
(-1000/4000) × 100% = 25%
Elasticity of demand = 25% / 50% = 0.5
Out - Of - State applicants :
% change in price from $20,000 to $50,000 = 50%
% change in quantity demanded :
Demand decrease from 6000 to 3000
[(3000 - 6000) / 6000) × 100%
(3000 / 6000) × 100%
(1/2) × 100% = 50%
Elasticity of demand = 50% / 50% = 1
How can a good credit score help you?
HELP!!
Which of these is defined by a general rise in the prices of goods and services
over a specific time?
A. Inflation
B. Recession
C. Disinflation
D. Stagnation
Answer:
A
Explanation:
Inflation is the rate of increase in price over the given time period. When the price of good, energy, fuel, commodities and other good and service rise it will affect the entire economy of any state.
In case of normal goods, demand curve shows a) Negative slopes b) positive slopes c) Zero slopes d) none of these
Answer:
a. Negative slopes
Explanation:
A negative slopes indicate that there exist a negative relationship between price and quantity demanded of a particular good. This means that when price falls, more units of goods will be purchased by the consumer and vice versa.
A normal good is a type of good whose demand increases as a result of increase in consumer's income. In other words, the higher the income, the higher the quantity demanded of such good by the consumer and vice versa.
It follows that when there is an increase in wage or income of a consumer , more goods will be purchased by them except if there is an increase in the price of such good . When there is price increase for such good, consumer will switch to a substitute good.
what are the management training methods
Answer:
Find answers in the explanation below
Explanation:
management training can be defined as a training activity or process that is aimed at improving the individual skills of employees as both a leader and a manager. In doing this, communication among other things is emphasized to enable individuals work in teams as well as have cordial relationships with other workers in a team and as a superior.
Management training methods include on-the-job training, job rotation and job mentoring. All of this methods have its pros and cons.
On-the-job training is a type of training that occurs in the place of work. It helps to brings employees to terms with the environment in which they'd be working. It teaches skills needed to perform a specific task.
Job rotation on the other hand implies the movement of employees between different job areas at certain time intervals to expose them to different aspects of the work environment.
Job mentoring refers simply to the putting through of an employee by a senior colleague or mentor through the process and skills required to perform certain tasks and ocupy certain positions. It mostly a one-on-one training.
Cheers.
Suppose there are only three people in the economy: jane, harry, and bob. the individual demand for corn for each of these consumers is given in exhibit 3-1. the total quantity demanded of corn if the market price is $5 is ____.
Answer:
$25
Explanation:
Please check the attached image for a diagram of exhibit 3-1
The total quantity demanded can be found by adding the sum of the quantity demanded at $5.
Jane doesn't demand at $5, so her quantity demanded is 0
For Henry it is 8
For Bob, it is 17
Total quantity demanded ia 25
I hope my answer helps you
En algunos países es obligatorio que los automóviles de determinado consumo sean aptos para surtirse de gasolina sin plomo..." ¿Qué secuencia de hechos viene inmediatamente después de ésta?
Explanation:
Como el plomo es altamente contaminante la union europea establecio algunas leyes para que no se siguiera permitiendo el uso de gasolina con plomo, pero tendria que hacersen algunos cambios en cuanto a la constitucion de algunos automoviles,y en sus catalizadores,pero todo ello depende de la gama del vehiculo,el modelo y el motor,,por lo tanto los vehiculos que se utilicen para determinado consumo deben cumplir con los requisitos previos para funcionar de acuerdo con la norma de gasolina sin plomo,pues de no acatar las normas establecidas,podrian ser sancionados.