5. Martha has the utility function U= min{0.5x, 4y). Write down her demand function for y as a function of the variables I, Px, and Py, where I is income, Px is the price of x, and Py is the price of y.

Answers

Answer 1

Martha has the utility function as:

U = min{0.5x, 4y}.

The demand function for y is given by:

y = (I/Py - Px/Py * x/8) / 4

Here's how to derive the demand function for y.

Martha's utility function is U = min{0.5x, 4y}. She tries to maximize her utility function by solving her optimization problem such that she wants to minimize the expenses to achieve her maximum utility subject to her income constraint. Mathematically, her problem can be written as:

Minimize Px * x + Py * y

subject to U = min{0.5x, 4y} and

I = Px * x + Py * y, where I is her income.

Using the Lagrangian method, her problem can be written as:

L = Px * x + Py * y - λ * [min{0.5x, 4y} - U] - μ * (I - Px * x - Py * y), Where λ and μ are the Lagrange multipliers.

Assume that the minimum is achieved for 0.5x = 4y, then the above equation simplifies to:

L = Px * x + Py * y - λ * 4y - μ * (I - Px * x - Py * y)

Therefore, the first order conditions are:

dL/dx = Px - 0.5λ = 0

dL/dy = Py - 4λ - μ = 0

dL/dλ = min{0.5x, 4y} - U = 0

dL/dμ = I - Px * x - Py * y = 0

Solving these first order conditions for λ and μ, we get:

λ = Px / 0.5

= 2Px

and

μ = (I - Px * x) / Py - y

Using these values of λ and μ, we can simplify the equation for y, which gives the demand function for y:

y = (I/Py - Px/Py * x/8) / 4

Therefore, the demand function for y is:

y = (I/Py - Px/Py * x/8) / 4, where I is income, Px is the price of x, and Py is the price of y.

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Related Questions

Why do you think assistant coaches play such a significant role in these scandals?

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Answer:

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Explanation:

The picture is above, I’ll mark as brainliest

The picture is above, Ill mark as brainliest

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Answer:

c

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A is the answer duhh

business analysis is the practice of enabling change in an enterprise by defining needs and recommending solutions that deliver value to stakeholders. true false

Answers

TRUE: Business analysis seems to be the discipline of facilitating change inside an organization by identifying requirements and suggesting solutions that benefit all parties.

Define the term business analysis?By identifying problems and putting forth recommendations for solutions that benefit stakeholders, business analysis is the method of allowing change within an organizational setting. Business analysis is the process of identifying a company's needs, completing tasks to ascertain those needs using specialized approaches, and then advocating adjustments and offering solutions that add the stakeholders value.

Finding answers to business challenges and identifying company needs are the goals of business analysis.

Businesses rely on three different forms of analytics to help them make decisions: descriptive analytics, which explain what has actually occurred; predictive analytics, where show us what might happen; prescriptive analytics, which explain what ought to occur going forward.

Thus, business analysis seems to be the discipline of facilitating change inside an organization by identifying requirements and suggesting solutions that benefit all parties.

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Which of the following would most likely lead to a company initiating a price increase? A) weakened economy B) possession of outdated merchandise C) excess capacity D) over-demand

Answers

Among the options provided, the most likely factor that would lead to a company initiating a price increase is D) over-demand.

When a company experiences over-demand for its products or services, it means that there is a higher level of demand than the company can effectively supply. In such a situation, the company may choose to increase prices as a strategy to balance supply and demand. By increasing prices, the company can potentially moderate demand and manage limited capacity or resources more efficiently.

Weakened economy (option A) usually leads to decreased consumer spending, making price increases less likely. Possession of outdated merchandise (option B) would generally lead to price reductions or clearance sales to move inventory. Excess capacity (option C) typically results in price cuts or discounts to stimulate demand and utilize idle resources. Therefore, over-demand (option D) is the option most likely to lead a company to initiate a price increase.

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After retiring, Samantha wants to be able to withdraw $3,500.00 every month from her account for 28 years. Her account earns 7% interest compounded monthly. How much does Samantha need in her account when she retires

Answers

After retiring, Samantha wants to withdraw $3,500 every month for 28 years. To find out how much she needs in her account at the time of retirement, we can use the Present Value of Annuity formula, which considers interest compounded monthly at a rate of 7%.

The formula for the Present Value of Annuity is PV = P * [(1 - (1 + r)^(-n)) / r] Where PV is the present value (amount needed in the account at retirement), P is the monthly withdrawal amount, r is the monthly interest rate, and n is the total number of withdrawals. First, we need to find the monthly interest rate (r) by dividing the annual interest rate (7%) by 12: r = 0.07 / 12 = 0.0058333 (rounded to 7 decimal places) We need to find the total number of withdrawals. Since Samantha wants to withdraw $3,500 every month for 28 years: n = 12 withdrawals/year * 28 years = 336 withdrawals Now, we can plug the values into the formula: PV = 3500 * [(1 - (1 + 0.0058333)^(-336)) / 0.0058333] PV ≈ 3500 * [(1 - (1.0058333)^(-336)) / 0.0058333] PV ≈ 3500 * [57.5086547] PV ≈ 201,280,291.45

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Which of the following would increase aggregate demand?

Answers

Answer:

Increase in income


Explanation:

Where do entrepreneurship opportunities begin?

Answers

Answer:

They can began with you

Explanation:

You have to be an entrepreneur to start an entrepreneur oprotumity

Which of the following is an example of an e-commerce security concern?
A. Making sure products mailed to consumers are not damaged
OB. Keeping online payments and information secure
C. Ensuring that products are safe for consumers to use
D. Educating consumers about their market options
SUBMIT

Answers

Keeping online payments and information secure is an example of an e-commerce security concern.

What is e-commerce?

E-commerce refers to buying and selling of products and services that take online through the web rather than physical activities of trade which occurs offline, hence, we are concerned with any breach of a firm's information technology security architecture , which means that making sure the products mailed are not damaged is not a concern because mailing does not happen online, the products need to be physically delivered,

Besides, online payments security is the most essential issue to  keep abreast in e-commerce, any client whose debit or credit card is compromised would return to the store and would take legal actions against the e-commerce store, safety of payment is key,

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the increase in output obtained by hiring an additional worker is known as: group of answer choices the average product. the marginal product. the total product. value subtracted

Answers

The marginal product is the increase in output that results from adding a new employee. The extra output that occurs from adding one more unit of a variable input, such labour, is known as marginal product.

It illustrates how the level of a variable input, such as the number of workers, changes the total output, also known as the total product. The productivity of a new employee can be evaluated using the marginal product, which can also be used to guide decisions regarding recruiting new employees. The average product, on the other hand, is calculated by dividing the total output by the quantity of the variable input, in this case, the number of employees.The marginal product is the increase in output that results from adding a new employee. The extra output that occurs from adding one more unit of a variable input, such labour, is known as marginal product. It illustrates how the level of a variable input, such as the number of workers, changes the total output, also known as the total product. The productivity of a new employee can be evaluated using the marginal product, which can also be used to guide decisions regarding recruiting new employees. The average product, on the other hand, is calculated by dividing the total output by the quantity of the variable input, in this case, the number of employees. It serves as a proxy for the typical output produced by a worker and can be used to assess overall productivity. The total output of a business or sector is known as the total product. Value removed has nothing to do with this idea.

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a sales agent has just attended a seminar on the benefits of using social media in marketing her client’s properties. she is very excited to begin to use all the wonderful ideas that were presented. in order to advertise her client’s properties on social media she will need

Answers

In order to advertise her client's properties on social media, the sales agent will need access to social media platforms, such as Fac-ebo-ok, Tw-itt-er, Inst-agr-am, or Lin-ke-dIn.

She will also need to create compelling and visually appealing content, including photos and videos of the properties. Additionally, she may need to familiarize herself with social media advertising tools and techniques to effectively target potential buyers and reach a wider audience. It is also important for her to have a clear strategy and goals in mind to ensure that her social media marketing efforts align with her client's objectives.

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(WILL GIVE 29 Points & Brainlest) PLEASE HELP!!!!!!!! ):
Why is it important to develop an idea of your potential career cluster now?

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Answer:

Career Clusters have the knowledge and skills that learners need as they follow a pathway toward their career goals.

Trade Barrier protect jobs? True or false

Answers

Answer:

your awnser is false if im wrong messages me:)

Supplier Reliability: Ingrid shows data for total deliveries per year and on-time deliveries per year. What is an actionable metric that Ingrid could develop from these two pieces of data? That is, what is a metric that could be measured on a periodic basis (monthly, quarterly, annually) to show if the supplier is improving or not?

Supplier Manageability: Ingrid is using distance from headquarters as a metric for supplier manageability. Do you think that distance from headquarters is a good metric for supplier manageability? In other words, does distance from headquarters measure what is important to FarmCo in a way that shows whether the supplier is improving or not? How might suppliers respond to orders (manage lead times) even though they are located a far distance?

Supplier Importance: Ingrid is measuring supplier importance based on the number of product variants using parts from a supplier. Is this really a scorecard measure (ie, a measure of the supplier’s performance) or is this more like a dimension that could be used in the Supplier Segmentation Matrix (Kraljic Matrix)? In other words, as currently measured, is supplier importance something suppliers can actually do well at? Or improve on? Explain why or why not?

Supplier Dispensability: We will discuss a similar metric (recovery time) when we discuss supply chain risk. If a supplier has a low supplier dispensability rating, would this be something that a supplier would need to take action on? Or would it make more sense that FarmCo would take action here? Again, the question here is – should supplier dispensability actually be on a performance scorecard? Or should it be part of a broader discussion about how FarmCo manages risk in its supply chain?

Describe the main issue that FarmCo is having in this case.

Answers

FarmCo should consider revising their scorecard to include more appropriate metrics that accurately reflect supplier performance.

A metric that Ingrid could develop from these two pieces of data is the percentage of on-time deliveries. This metric could be measured on a periodic basis (monthly, quarterly, annually) to show if the supplier is improving or not.Supplier Manageability: Distance from headquarters may not be the best metric to measure supplier manageability.

This is because suppliers may respond to orders (manage lead times) even though they are located a far distance. Instead, metrics like lead time, response time, and flexibility may be better indicators of supplier manageability. Suppliers could respond to orders (manage lead times) even though they are located a far distance.

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Why does life have to be hard?

Answers

Answer:

Life is hard because life needs to know if you're willing to fight. Willing to be strong when life is 'hard'. The second that you prove yourself with one challenge, another challenge show's up. Don't let life get you down. Be grateful for all you have. Live as if it's your last day. :>

Explanation:

Answer:

Because thats just how it is. There are the good times and the bad times. When life smacks you down, you need to get up and say "you hit like a b*tch". But it gets better. With age comes gratitude, perspective, and the ability to problem-solve for ourselves. With age we accrue more experiences, more self-awareness, and more successfully navigated pain and heartbreak. But life doesn't get better because you're older, you just get better at dealing with how life works. Life is painful, and we have got the answer to one of its parts. Now, it's time to understand another one:- Emotional Pain. The reason we feel emotional pain is because we don't accept the situation. We want something else out of our current situation. We suffer because of the idea that life was meant to be painless and things should go smoothly as it is. You don't expect life to be fair to you because you are a good person or you work so hard. Life has its own rules, it's complicated and not the same for everyone.

What is savings?, How can you save in a bank? And why is it important?

Answers

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.

Accounting does anyone know how to do a work sheet

Answers

Answer:

you can download it as a pdf document and then you can write on it, or you can print it out.

Explanation:

grandparents place a continuous stream of $1,000 per year into a college fund which has a continuously compounding interest rate of 0.6%. what will be the value of this continuous stream after 18 years? round your answer to the nearest integer. do not include a dollar sign or commas in your answer.

Answers

Rounding to the nearest integer, the value of the continuous stream after 18 years is approximately 19,002.

To find the value of the continuous stream after 18 years, we can use the formula for the future value of a continuous annuity with continuous compounding interest:
FV = P * (e^(rt) - 1) / r ,where FV is the future value, P is the continuous stream ($1,000), r is the interest rate (0.006), t is the time in years (18), and e is the base of the natural logarithm (approximately 2.71828).
Step 1: Calculate e^(rt)
e^(0.006 * 18) ≈ 2.71828^(0.108) ≈ 1.11401
Step 2: Calculate FV
FV = (1,000 * (1.11401 - 1)) / 0.006
FV = (1,000 * 0.11401) / 0.006
FV = 114.01 / 0.006
FV = 19,001.67

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A POPPET VALVE REQUIRES SEATING WHICH
A. IS PERFECTLY FLAT
B. MANY RESULT IN EXCESSIVE WEAR DUE TO SLIDING ACTIOIN
C. IS CONICAL OR SPERICAL
D. IS NOT SUITABLE IN DIRTY APPLICATIONS

Answers

Option C is the correct answer. A poppet valve is a type of valve used to control the flow of fluids or gases.

A perfectly flat seating surface (Option A) is not suitable for a poppet valve because it would not allow for effective sealing. A flat surface may result in leakages or allow the fluid or gas to bypass the valve when it is closed. This would lead to inefficient operation and potential loss of pressure.

Option B is incorrect because a conical or spherical seating surface actually reduces wear due to sliding action. When the poppet valve is closed, the conical or spherical shape provides a larger contact area between the poppet and the seating surface. This distributes the force evenly, minimizing wear and ensuring a tight seal.

Option D is also incorrect because the suitability of a poppet valve in dirty applications depends on the design and materials used. While a perfectly flat seating surface may be more prone to clogging in dirty environments, a properly designed poppet valve with a conical or spherical seating surface can still function effectively by preventing contaminants from entering the valve mechanism.

In conclusion, a conical or spherical seating surface is necessary for a poppet valve to ensure proper sealing and minimize wear, while flat surfaces are not ideal. The choice of seating surface depends on the specific application and the design considerations of the valve.

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Chloe enjoys her math classes, and she would like to find a career that will allow her to continue to use her math skills. Which career would be a good fit for her? O A. accountant O B. purchasing agent O C. commercial carpenter OD. human resources manager Reset Next​

Answers

Answer:

A. accountant

Explanation:

The accountant has a very significant role in running a business. He or she keeps a precise record of money flow in the company. The accountant function is mainly mathematical as it involves the accurate collection, recording, analysis, and financial presentation of the organization’s business operations.

Business or financial transaction records have a lot of numerical.  Prices, sales volumes, discounts, repayments period are all presented in numbers. An accountant will always be calculating.  If Chloe enjoys math, she will like working as an accountant as the role depends on math.

The answer is: A. accountant

The main duty of an accountant is to prepares the financial information of an individual or an organisation.  In order to do this, you need a really good command of math skills since all the information regarding the assets , liability, and capital of the individuals/organization is recorded in a numerical value.

The economy is considered to be at full employment when?

Answers

The economy is considered to be at full employment when the unemployment rate is at its natural rate of unemployment.

Full employment refers to a situation in which the economy has achieved the highest possible level of employment given the existing labor market conditions. In this state, the unemployment rate corresponds to the natural rate of unemployment.

The natural rate of unemployment includes frictional unemployment (short-term unemployment due to individuals transitioning between jobs) and structural unemployment (unemployment resulting from a mismatch between the skills of workers and the available job opportunities). It does not include cyclical unemployment, which is the temporary unemployment caused by fluctuations in the business cycle.

Determining the exact level of the natural rate of unemployment is challenging and subject to debate among economists. It can vary over time due to factors such as changes in labor market dynamics, technological advancements, and government policies.

To measure full employment, economists analyze various labor market indicators, including the unemployment rate, labor force participation rate, and job vacancy rates. When the unemployment rate stabilizes around its estimated natural rate, and the labor market is operating efficiently, the economy is considered to be at full employment.

Full employment occurs when the economy reaches its natural rate of unemployment, which includes frictional and structural unemployment. The unemployment rate stabilizes around this natural rate, indicating that the labor market is functioning efficiently. Achieving full employment is a desirable goal for policymakers as it signifies a high level of employment and economic productivity.

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Yong teaches students with learning disabilities and physical disabilities. Barb teaches computer programming to high school students. Maya works in a private school teaching math to seventh-grade students. Destiny works in a college teaching English to adult students. Tanner helps an elementary school teacher and works under the guidance of that teacher.

Answers

1. Special education teacher
2. Career and technical education teacher
3. Middle school teacher
4. Post secondary teacher
5. Teacher assistant

Answer:

1. Special education teacher 

2. Career and technical education teacher

3. Middle school teacher

4. Post secondary teacher

5. Teacher assistant

Explanation:

true or false? a market-share pricing objective is often used when a firm needs to reach an economy-of-scale point.

Answers

A market-share pricing objective is often used when a firm needs to reach an economy-of-scale point.

The above statement is true

What do you mean by market-share pricing objective?

Sales-oriented pricing goals try to increase sales or market share. A volume growth is assessed in relation to a company's own sales across particular time frames. A company's market share compares its revenues to those of other businesses in the same sector.For every business, the goal of pricing is to establish a price that is fair to both consumers and the producer in order for both to thrive in the market.The goal of a marketing plan is to have a clear path to follow in order to acquire new clients, improve connections with existing clients and consumers, boost sales, increase retention, and raise brand awareness.

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how many white people said the n word

Answers

Answer:2,728,146,373,648,273,438,956,857,326,726

Explanation: I live on earth

helloooooooooooooooooooooooooooooooooooo

Answers

Answer:

hi

Explanation:

Answer:

Heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Explanation:

What is Lean Model Canvas?
What is the purpose of developing Lean Model Canvas?

Answers

The Lean Model Canvas is a strategic management tool for visualizing and validating a business model.

The purpose of developing a Lean Model Canvas is to provide a structured framework for entrepreneurs to visualize, test, and iterate their business models.

The Lean Model Canvas is a variation of the traditional Business Model Canvas, tailored specifically for startups and businesses following the principles of the Lean Startup methodology. It serves as a visual tool to outline and assess the key components of a business model.

The purpose of developing a Lean Model Canvas can be broken down as follows:

Visual representation: The canvas allows entrepreneurs to visually map out the fundamental aspects of their business model, such as customer segments, value propositions, channels, revenue streams, and cost structure.

This concise and structured format facilitates understanding and communication among team members and stakeholders.

Iterative testing and learning: The Lean Model Canvas encourages a hypothesis-driven approach, where entrepreneurs formulate assumptions about their business model and actively test them through experimentation.

By documenting and tracking these assumptions, entrepreneurs can gather data, learn from the results, and refine their business model accordingly.

Adaptation and agility: The Lean Model Canvas promotes adaptability by enabling entrepreneurs to iterate and pivot their business models based on real-time feedback and insights. It supports a customer-centric approach, ensuring that the business model evolves to meet the needs and preferences of the target market.

In summary, the Lean Model Canvas serves as a practical and dynamic tool for entrepreneurs to visualize, test, and iterate their business models. It helps them maintain agility, foster learning, and increase the chances of building a successful and sustainable startup.

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Bert's company is about to release a new electronics product. the electronics product is estimated to have a short life cycle before it is replaced by an upgraded one. the company would like to recover the capital spent to produce the product. it therefore decides to charge the highest possible price for the product upon release. bert's firm recognizes this might provide an advantage to competitors who may release the product at a lower price, but it believes customers will feel that the higher price signals higher quality.
what type of pricing objective has bert's firm adopted?cash flow

Answers

The type of pricing objective has Bert's firm adopted cash flow.

Which of the following is a reason for a corporation to increase the price of a product?

Companies occasionally increase their prices to reflect rising costs. To cover any further cost increases, they may generally raise the prices by a larger amount than the cost increases. A seller may raise the price of their goods if there is a greater demand than there is for that thing.

Which of the following pricing techniques is most likely to cause a retailer to lose money on the item?

In an effort to boost sales of other goods, it is offered at a discount to cost. Pricing for special events and price leaders.

What appeals to cellars about a high-low pricing strategy?

Because it draws buyers from two different market segments—those who are not price sensitive and are prepared to pay the "high" price and those who are more sensitive to price and wait for the "low" sale price—a high/low strategy is appealing.

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what are the benefits and risks to consumers of using paperless, electronic systems to pay for products and services both online and in stores? do the benefits to consumers justify the risks, or not?

Answers

Electronic payment systems offer convenience, speed, and accessibility, but also security vulnerabilities and privacy concerns. Their worth depends on individual preferences and tolerance.

Paperless, electronic payment systems offer several benefits to consumers. Firstly, they provide convenience by eliminating the need for carrying cash or physical cards, allowing for easy and quick transactions.

Electronic payments can be made from anywhere with internet access, enabling seamless online shopping experiences. Additionally, electronic systems often offer features like automatic transaction tracking and digital receipts, simplifying record-keeping for consumers.

However, there are risks associated with electronic payment systems. One major concern is security. Hackers and identity thieves can target electronic payment systems to gain unauthorized access to sensitive financial information.

Another risk is the potential for data breaches and unauthorized disclosure of personal information. Additionally, technical issues or system failures can disrupt electronic payment processes, causing inconvenience and potential financial loss for consumers.

Whether the benefits of using electronic payment systems justify the risks depends on individual perspectives. Some consumers prioritize the convenience and efficiency of electronic payments and are willing to accept the associated risks.

Others may have concerns about privacy and security and prefer traditional payment methods. It is essential for consumers to assess their own risk tolerance, employ security measures such as strong passwords and encryption, and choose reputable payment service providers to mitigate potential risks.

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education opens the door to employment.

Answers

Answer:

yes education opens the door to employment as Education give us a new identity and talent which people are looking for the employment. Education can lead to success and employement.

Yes correct perfect

A supermarket building was purchased for $567,000. The down payment was 12%. The balance was financed at 7.97% for 25 years. Find the montly payment is

Answers

The monthly payment for the supermarket building is approximately $3,667.63. To find the monthly payment for a supermarket building, the following formula: Monthly payment = P[r(1+r)^n/((1+r)^n)-1)]

we will need to make use of the following formula: Monthly payment = P[r(1+r)^n/((1+r)^n)-1)]

where P = the principal,

r = the interest rate per month, and

n = the total number of months.

We will calculate the values of P, r, and n using the information provided in the problem statement:

Down payment = 12% of $567,000 = 0.12 × $567,000 = $68,040

Principal = $567,000 − $68,040 = $498,960

Interest rate per year = 7.97%

Number of years = 25Number of months = 25 × 12 = 300To convert the interest rate per year to the interest rate per month, we will divide by 12:

Interest rate per month = 7.97% ÷ 12 = 0.6642% Plugging in these values into the formula, we get:

Monthly payment = $498,960[0.006642(1+0.006642)^300/((1+0.006642)^300−1)]

Monthly payment = $3,667.63.

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During her lunch break one afternoon, alison set a goal of completing all required trainings in the next 90 days by taking two trainings a week. What is she doing?.

Answers

She is planning

Planning strategically. Strategic plans are all about the reasons why certain things must occur, according to Story.Planning for contingencies and tactical actions

What are the initial three steps in a proper organization's planning process?

It's crucial to review key measures that will position you and your business for success before you start the strategic planning process.

Decide on your strategic stance.Set priorities for your goals.Create a plan, then carry it out and manage it.Examine and update the plan.

Types of planning

operational, preparation, Motivational speaker for CEOs Mack Story stated on LinkedIn that operational strategies are about how things should proceed. ...

Planning strategically. Strategic plans are all about the reasons why certain things must occur, according to Story.Planning for contingencies and tactical actions

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If a physical exam reveals a serious medical condition (such as HIV), the information may be reported to the applicant's:Select one:a.spouse.b.employer.c.roommate.d.physician. in 2012, the average number of children born to the typical u.s. woman over her lifetime was about ___ PLEASE HELP ME FAST!!I need the answer in a percent and I can't download any files, sorryXian plans to run 14 laps around the track. Each lap is 400 yards. So far, Xian has run 1,680 yards around the track. What percentage of the run has Xian completed? Trade recelvables which are more than one-year old are normally transferred to non-current recelvables. What is the equation of the line using the informationbelow?m= 10 and b=-3Equation= RFID (Radio Frequency Identification) is a technology used for electronic and wireless identification of objects, humans, and animals. True False Frequency refers to the property of radio waves used to transmit data. True False Frequency is of primary importance when determining data transfer rates (bandwidth). True False The higher the frequency, the lower the data transfer rate. True False Rough ER is an important site for protein synthesis. What is special quality of rough ER that neurons benefit from?A. information processingB. HeterogenetiyC. Regulation of internal concentrationsD. Diversity of functions Sound waves entering the ear travel through the external auditory canal before striking the eardrum and causing it to vibrate. The eardrum is connected to the malleus, one of three small bones of the middle ear. Also called the hammer, it transmits sound vibrations to the incus, which passes them to the stapes. T/F Pat put 140 ounces of chocolates into 5 boxes. If each box held the same amount, there was __ lb. ___ oz. Per box. Geologists can estimate the age of rocks by their uranium-238 content. The uranium is incorporated in the rock as it hardens and then decays with first-order kinetics and a half-life of 4. 5 billion years. A rock is found to contain 82. 6% of the amount of uranium-238 that it contained when it was formed. (The amount that the rock contained when it was formed can be deduced from the presence of the decay products of U238. ) Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions to the nearest hundredth. 2 x squared minus 3 = 2 x a. X = -1. 1 or x = -1 c. X = 0. 10 or x = -3 b. X = 1. 82 or x = -0. 82 d. X = 0 or x = -6. 3. Let C be the circle relation defined on the set of real numbers. For every X.YER,CY x2 + y2 = 1. (a) Is Creflexive justify your answer. Cis reflexive for a very real number x, XCx. By definition of this means that for every real number x, x2 + x? -1. This is falsa Find an examplex and x + x that show this is the case. C%. x2 + x2) = X Since this does not equal1, C is not reflexive (b) is symmetric? Justify your answer. C is symmetric -- for all real numbers x and y, if x Cytheny Cx. By definition of C, this means that for all real numbers x and y, if x2 + y2 - 1 y + x2 - 0 This is true because, by the commutative property of addition, x2 + y2 = you + x2 for all symmetric then real numbers x and y. Thus, C is (c) Is Ctransitive? Justify your answer. C is transitive for all real numbers x, y, and 2, if x C y and y C z then x C 2. By definition of this means that for all real numbers x, y, and 2, if x2 + y2 = 1 and 2 + 2 x2 + - 1. This is also . For example, let x, y, and z be the following numbers entered as a comma-separated list. - 1 then (x, y, z) = = Then x2 + y2 = 2+z? E and x2 + 2 1. Thus, cis not transitive what is the difference between obeying out of guilt and obeying out of gratitude? what is 3 time 9 plus 7 equal to who is better Percy Jackson or Jason Grace example when subject is singular verb + s Si 1 kg de naranjas cuesta 14 pesos y al final del da el dueo de la frutera cuenta 1124 pesos por venta de naranjas, a) cuntos kilogramos vendi? b) cunto cuesta comprar 34 de kg de naranjas? Si una seora compra dos naranjas cuyo peso fue de 0.3 kg, c) cunto pag? Si en la compra de 5 kg de naranja se hace un descuento del 10%, d) cunto se paga? e) Cuntos tipos de nmeros hay en el problema? Rewrite the paragraph by making the verbs agree in number with their subject.The triumphant tennis player [to feel] proud of himself. He [to see] all of his efforts pay off in this one match. The fans [to cheer], the cameras [to flash], and victory [to claim]. Supporting candidates, influencing laws and policy, uniting levels of government, creating balance, and influencing voters are all roles of: a. The Media b. Political Action Committees c. Interest Groups d. Political Parties Which option identifies the concept represented in the following scenario?In 1978, the Florida vegetable industry filed a complaint against Mexican farmers for underpricing their produce in the U.S. market.monocroppingquotasdumpingsustainability