A new popular midsize car has a retail price of $20,000. The midsize car's value m(t) is given by the exponential model m of t is equal to 20,000 times the quantity four fifths to the power of t where t represents the time in years. Identify the domain, in yearly intervals, that contains all the years the car's value is less than $1,000.

Answers

Answer 1

The domain of the years in which the car's value is less than $1,000 is [16, ∞). The concept used to answer this question is exponential decay.

To find the domain of the years in which the car's value is less than $1,000, we need to find the value of t for which M(t) = 20,000(4/5)^t is less than $1,000. Exponential decay is a pattern of decrease where the rate of decrease is proportional to the current value.

We can start by isolating t in the equation:

M(t) = 20,000(4/5)^t < 1000

20,000(4/5)^t < 1000

(4/5)^t < (1000/20,000)

t < log(1000/20,000) / log(4/5)

t < log(1/20) / log(4/5)

t < -4.32

And then we need to round up to the nearest year, so we have:

t < -4

So the domain of the years in which the car's value is less than $1,000 is [16, ∞)

The complete question is:

A new popular midsize car has a retail price of $20,000. The midsize car's value M(t) is given by the exponential model M(t) = 20,000(4/5)^t where t represents the time in years. Identify the domain, in yearly intervals, that contains all the years the car's value is less than $1,000.

[13, ∞)

[14, ∞)

[15, ∞)

[16, ∞)

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Related Questions

Which of the basic organizational functions records all financial activity from billing customers to paying employees?

Answers

Which of the basic organizational functions records all financial activity from billing customers to paying employees: Accounting

Financial usually refers to money matters or transactions of some size or importance. Cash, stocks, bonds, mutual funds, and bank deposits are all examples of financial assets.

The Financial field includes three main subcategories:

personal financecorporate finance public (government) finance.

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The face-to-face presentation and promotion of goods and services is known as personal?

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Personal promoting is likewise called face-to-face promoting wherein one individual who's the salesperson attempts to persuade the client in shopping for a product.

It is a promotional approach via way of means of which the salesclerk makes use of his or her capabilities and skills in an try to make a sale. Face-to-face advertising refers to any state of affairs in that you sell your commercial enterprise to any other individual or to a set of humans in individual. You get to appearance the alternative humans in the attention as you supply your pitch or hook up with them on a private level.

For instance, you would possibly meet any person on the grocery store. That individual asks you what you do for a living, and also you provide an explanation for which you create on line publications for aspiring photographers.

At that point, the communique would possibly shift. However, if the alternative individual is inquisitive about photography, she or he would possibly ask questions on your on line course. You may want to offer a commercial enterprise card or a internet site cope with wherein that individual may want to analyze greater approximately your commercial enterprise.

That's an instance of casual face-to-face advertising. You take gain of an possibility to allow a person recognize approximately your commercial enterprise and the virtual merchandise which you sell.

Face-to-face income strategies make stronger relationships with possibilities and customers, decorate logo credibility, and permit reps to talk key price propositions greater effectively. In-individual promoting processes additionally assist reduce through the static and make manufacturers stand out towards the competition.

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For studies conducted outside of the u.s., the device risk analysis and assessment are described in the?

Answers

For studies conducted outside of the u.s., the device risk analysis and assessment are described in the Investigator's Brochure (IB)

This is further explained below.

What is Investigator's Brochure (IB)?

Generally, The Investigator's Brochure (IB), which is kept up to date by a drug developer or investigator, is a thorough compilation of clinical and nonclinical data on the investigational product (drug, supplement, device, or other product) that contains the body of knowledge about the investigational product obtained before the study began.

In conclusion, The device risk analysis and evaluation are given in the investigator's brochure for trials that were carried out in countries other than the United States (IB)

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If Johnson Marketing's capital gain on the sale of its business was $479,000, capital improvements were $227,000, and the adjusted basis in the property was $976,000, what was the sales price

Answers

If the capital gain was $479,000, the capital expenditure was $227,000 and the adjusted basis price of the property was $976,000.

The Sales Price was $ 1,682,000.

What is Sales?

Sale is the act of selling a product, in most of the manufacturing companies sell their inventory to earn profits and this is how they generate revenue.

There are cases where company sell their assets that they use or are alternatively as capital investments, the case in the scenario is of a sale of a property, the property is sold at a price, the price is unknown but the amount of gain/ profit made at the sale is known and provided.

The amount of profit, capital expenditure and the adjusted basis price of the property is added to formulate the sales price for the property.

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Suppose you have a collision involving another car with a single occupant, the driver. It is your fault. No one is seriously hurt, but the other driver chooses to go to the emergency room to be checked out. The medical cost is $1,500. The damage to your car is $3,000, And the damage to the other car is $6,000. You have the following minimum coverage:
Bodily injury liability coverage: $15,000 per person, $30,000 per accident
Property damage liability coverage: $5,000
No collision.

1. How much would your insurance pay and how much would you pay? Explain why.

Answers

Answer:

that would be crease

Explanation:

dsa

Provisions that a party agrees to perform only if the other side also does what it promised are called Group of answer choices choice of forum provisions. conditional promises. reciprocal promises. riders.

Answers

reciprocal promises

If the provisions are reciprocal promises this means that they are each enforceable independently.

What is Reciprocal Promise ?

These promises that the promisee does to form the consideration form an agreement.

When you go to a shop, the shopkeeper agrees to give you the product in exchange for money. This is an example of a reciprocal promise where you promise to pay the value of the product and the shopkeeper promises to give you the goods on receipt of the payment.

Under Reciprocal Promise both parties promise each other to do something in the future. So, the first promise forms the consideration for the second promise and second promise forms the consideration for the first promise.

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Companies like State Farm, a leading property and casualty insurance company, believe that the best way to create relationships with customers is to join them in activities they enjoy. Which type of market segmentation best captures this combination of age and interest in contemporary or alternative music

Answers

The type of market segmentation best captures the combination of age and interest in contemporary or alternative music is called "Demographic segmentation marketing".

What is market segmentation?

Market segmentation is to pinpoint specific customer groups so that merchandise and branding can be tailored to appeal to them. There are many different ways to segment markets, including geographically, demographically, or behaviorally.

What is Demographic segmentation marketing?

By focusing on characteristics like age, gender, income, occupation, and family status, demographic segmentation separates current and potential customers into groups.

The importance of Demographic segmentation marketing are-

You can target your marketing strategy more precisely with demographic segmentation. It aids in vision clarification, gives future advertising plans more focus, and helps you make the most of your time, money, and resources. You should target this group if the average age of your customers is between 20 and 35.Companies can better grasp their potential markets thanks to these smaller sectors, which also helps them manage their time and resources.

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Early in the year, Marlon was in an automobile accident during the course of his employment. As a result of the physical injuries he sustained, he received the following payments during the year:

Answers

As a result of the physical injuries he sustained, he received the following payments during the year:$0. This is further explained below.

What are physical injuries?

Generally, Heat and cold, electrical discharges, changes in pressure and radiation are all examples of physical ailments that may be induced by mechanical traumas.

In conclusion, It is possible for Marlon to deduct from his gross income the $10,000 in medical bills that were paid for by his health insurance policy and repaid to him. Even though the payout is in lieu of Marlon's salary, the $15,000 that he got as part of the settlement for the physical personal injury damage may be disregarded when calculating his gross income.

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_____ occurs when a sample, in some ways, is not representative of the target population.

Answers

Sampling error occurs when a sample, in some ways, is not representative of the target population. A sampling error is a statistical error that occurs when an analyst fails to choose a sample that accurately represents the entire population of data. As a result, the sample results do not correspond to the results obtained from the entire population.

Sampling is a type of analysis that involves selecting a subset of observations from a larger population. The selection method can result in both sampling and non-sampling errors. Sampling is a type of analysis that involves selecting a subset of observations from a larger population.

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A company has recorded the last five days of daily demand on its only product. Those values are 120, 125, 124, 128, and 133. The time from when an order is placed to when it arrives at the company from its vendor is 5 days. Assuming the basic fixed-order-quantity inventory model fits this situation and no safety stock is needed, which of the following is the reorder point (R)

Answers

630 is the recorder point.

Safety stock is a term used by logistics personnel to describe additional inventory held to reduce the risk of stock-outs (shortages of raw materials or packaging) due to supply and demand uncertainties. Adequate safety stock allows business operations to continue as planned. Safety stock is held when demand, supply, or production is uncertain and acts as insurance against stockouts.

Safety stock is an additional quantity on hand to reduce the risk of an item being out of stock. This acts as a buffer stock in case sales are higher than expected or the supplier is unable to deliver additional units in the expected time.

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By purchasing la boulange, starbucks is implementing a ______________ in the hopes of gaining a competitive advantage.

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By purchasing a Boulanger, Starbucks is implementing a  corporate-level strategy in the hopes of gaining a competitive advantage.

By leveraging intangible resources such as corporate experience and knowledge, you can start a newly independent company with the ability to quickly create value with those resources.

Value-neutral reasons are intended to help the company's management team, while value-added reasons are intended to help the company achieve a better competitive position.

Starbucks not only uses its own coffee beans to make coffee but diversifies to use coffee beans to make other products, Starbucks uses the same raw materials to make different products You can increase your sales by

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The fixed cost of producing surfboards is $5,000 per month. The variable cost for producing 15 surfboards is $36,000 per month. The average cost of producing 15 surfboards in a month is ______.

Answers

The fixed cost of producing surfboards is $5,000 per month. The total variable cost of producing 15 surfboards is $36,000 per month. The average total cost of producing 15 surfboards in a month is (B)$2,733.33

What is Average Cost?

Average cost is the total amount of all production costs divided by the quantity of output produced. This number is also known as average total cost or unit cost.

Average cost includes fixed costs, like those necessary for production, that remain the same no matter the output. Average cost also includes variable costs. which may increase or decrease according to output.

So, according the question,

Average Fixed Cost = $5,000  

Average Variable Cost =   $36,000

Average Total Cost = Average Fixed Cost + Average Variable Cost

                                 = $5,000 +  $36,000

                                 = $41,000

Average Total Cost =Total Cost of Production/Quantity of Unit Produce

                                 = $41,000 / 15

                                 = $2,733.33

Hence, we can conclude that the Average Cost of producing 15 surfboards in a month is $2,733.33

Your question is incomplete, but most probably your full question was:

The fixed cost of producing surfboards is $5,000 per month. The variable cost for producing 15 surfboards is $36,000 per month. The average cost of producing 15 surfboards in a month is ______.

A)$333.33

B)$2,733.33

C)$2,400.00

D)$41,000.00

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One important metric for advertisements is ____, the number of target consumers a medium can deliver to.

Answers

One important metric for advertisements is reach, the number of target consumers a medium can deliver to.

Reach is the total number of distinct individuals or households exposed to a medium over the course of a certain time period in the context of applying statistics to advertising and media analysis. However, the number of people who will actually be exposed to and consume the advertisement should not be confused with reach.

A promotional message is delivered to the public via words, speech, photos, or video, which is referred to as the "advertising medium." Billboards, periodicals, radio, television, direct mail, and the Internet are all included in this definition.

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Which model, developed by the cdc, outlines five crisis phases and accompanying communication goals?

Answers

The CERC model is the model that is  developed by the cdc, outlines five crisis phases and accompanying communication goals.

What are communication goals?

This is the term that is used to refer to the reason why people may communicate. It is used to refer to the type of information and the reasons why the businesses and people may decide to communicate with themselves.

According to the CERC the goals of communication would be in other to get different people that may be able to respond to cases of emergencies.

The goals are

The pre-crisis stageFor the sake of partnerships with agenciesFor organizationsTo get  first responders,

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Financial risk refers to the: Multiple Choice general business risk of the firm. risk of owning equity securities. risk faced by equity holders of firms with debt. the risk that the share price may not reflect all known information. possibility that interest rates will increase.

Answers

Financial risk refers to the option (C) i.e, risk faced by equity holders of firms with debt.

What is financial risk?

The possibility of financial loss in an investment or commercial enterprise is known as financial risk. Credit risk, liquidity risk, and operational risk are a few of the more typical and distinct financial risks.

Financial risk is a type of risk that could cause interested parties to lose money. This may result in governments losing control over monetary policy and defaulting on bonds or other debt obligations. Corporations may fail in an endeavor that places a financial burden on the company, in addition to the danger of defaulting on debt they take on.

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If the local government imposed a minimum wage of $4 in productionville, how many people would be unemployed

Answers

If the local government imposed a minimum wage of $4 in production Ville, then employment will decrease by 0.

Who among the following would be counted as unemployed?

If a person does not have a job, has actively sought employment during the previous four weeks, and is currently eligible for employment, they are considered to be unemployed.

How do we figure out the unemployment rate?

To find the proportion of unemployed people, divide the number of unemployed people by the total workforce, and multiply the result by 100.

What is considered the natural rate of unemployment?

Many people believe that a rate of unemployment between 4% and 5% indicates full employment and is not very alarming. The lowest rate of unemployment that exists while inflation is steady or when it is not increasing is known as the natural rate of unemployment.

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An aggregate demand (ad) curve shows the:

Answers

♨ANSWER♥

An aggregate demand curve shows the total spending on domestic goods and services at each price level.

...hope this helps...

_♡_mashi_♡_

Which type of business is most likely to hire a specialist designer?
a. startups.
b. design agencies.
c. small business.
d. large companies.

Answers

The answer is large companies.

Specialist designers are contractors or suppliers who are hired first to design and then to carry out the job on site or deliver goods or services. Appointed by the client to design and maybe supervise work on site.

Large corporations, for example, tend to hire specialized designers, therefore titles like "User Researcher" and "Visual Designer" are common. Small and medium-sized businesses, on the other side, desire generalists and will have positions like "UX Designer" or even "UI/UX Designer."

Therefore, the answer is large companies.

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haley learns that someone used her name to open a credit card account which consumer protection agency brainly

Answers

The bureau of the consumer protection that has to help Haley is the  Federal Trade Commission.

What is the  Federal Trade Commission?

This is the name that is used to refer to the bureau of consumer protection in the United States that helps tp protect the consumers in the nation from fraudulent practices.

The bureau is known for the fact that it helps to enforce antitrust laws in the nation. Another thing that the bureau helps to do is to ensure that the people are protected based on finance.

Hence this is the agency that Haley would have to report this issue to.

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Randolph scott operates a business as a sole proprietorship. this year his net profit was $10,570. for tax purposes this amount should be reported on?

Answers

Based on the fact that Randolph Scott is a sole proprietor, the net profit for tax purposes needs to be reported on A. Schedule C, Statement of Profit or Loss from Business.

How are sole proprietor profits treated?

The financial business activities of a sole proprietor are treated as the same as their personal activities for the purposes of taxation because a sole proprietor is not separated from their business.

This means that profits and losses to the sole proprietor would go to Schedule C on their tax forms.

This is form is used to denote the Statement of Profit and Loss which means that it is where business profits will go.

The net profit to Randolph will not go to Form 1040 as other income because net income is the main income of the business.

It is also not to be considered rent or income from royalityes and so it will not go to Schedule E.

As a sole proprietor is not separable from their business, the net income to Randolph will not go to a separate tax return which is prepared for business operations.

In conclusion, option A, Schedule C, Statement of Profit or Loss from Business, is correct.

Options include:

A. Schedule C, Statement of Profit or Loss from BusinessB. The first page of Form 1040 as other incomeC. A separate tax return prepared for the business operationD. Schedule E, Statement of Rent and Royalty Income

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Bannister has run a mile in just under four minutes, which is his best time ever. this would represent his level of ____ for this skill.

Answers

Bannister has run a mile in just under four minutes, which is his best time ever. This would represent his level of competence in this skill.

According to the Competency Framework, the level of competence can be divided into four categories: Basic, Capable, Accomplished, and Authoritative.

An explanation of what is normally required of a person working at each level is provided for each of the different competencies.

It is significant to note that the descriptions of the topics covered by each competency must be fairly broad in order for one to apply the Framework to one's own work context, regardless of whether you are employed as a land manager, consultant, adviser, or regulator for a statutory agency, a policymaker, or in any other relevant capacity.

If you are competent at the authoritative level, both internal peers and peers outside of your organization will view you as an authority.

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At a local manufacturing plant, about 20 percent of the engineers work full-time as independent contractors for a maximum of three years. These employees are seldom offered benefits but may apply for posted permanent positions within the company during this time. HR experts would designate these professionals as

Answers

HR experts would designate these professionals as contingent employees.

A Contingent Worker: What Is One?

Unemployed individuals who work for a company on a contract basis are known as contingent workers. Contingent employees may offer their services on a permanent, temporary, or as-needed basis. Instead of taking on an ongoing, unending burden as a permanent employee does, they are frequently recruited to finish a single project. A few instances of contingent laborers are:

Unaffiliated businessesFreelancersConsultantsEmployees on a temporary basis who are contracted by a staffing company or other third party to work for your business.

Why Do Some Workers Opt to Work as Contingent Employees?

Successful contingent workers frequently have the ability to earn more money or put in fewer hours than they would as salaried workers—and occasionally both. Furthermore, independent workers frequently respect that quality. After you give them an assignment, they are free to pick how to complete it; no micromanagement is permitted, according to the law. They are also free to choose the assignments that appeal to them the most.

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The following cost information pertained to the Violin Division of Stringing Music Co. and was based on monthly demand and sales of 200 units: Per-Unit Costs Variable production costs: Direct materials $170 Direct labor 155 Variable factory overhead 75 Fixed production costs: Depreciation (equipment) 15 Factory rent 58 Other 15 Total production cost $488 Variable selling

Answers

The contribution margin per unit sold by Violin Division of Stringing Music Co is $326.

What is the contribution margin per unit?

The contribution margin per unit is the difference between the selling price per unit and the total variable costs (production and selling) per unit.

Data and Calculations:

Monthly demand and sales = 200 units

Per-Unit Costs

Variable production costs:

Direct materials $170

Direct labor 155

Variable factory overhead 75

Fixed production costs:

Depreciation (equipment) 15

Factory rent 58

Other 15

Total production cost = $488

Variable selling = $24

Fixed selling & administrative costs = $36 per unit

Selling price per unit = $750

Total variable cost per unit:

Direct materials                $170

Direct labor                        155

Variable factory overhead 75

Variable selling                   24

Total variable production and selling costs = $424

Selling price per unit = $750

Contribution margin per unit = $326 ($750 = $424)

Thus, the contribution margin per unit sold is $326.

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Question Completion:

Variable selling & administrative costs $24 per unit Fixed selling & administrative costs $36 per unit Given a normal selling price per unit of $750, what is the contribution margin per unit sold

The Midwest Division of Grainger Company has investment center average invested assets of $200,000 and investment center income of $40,000. What is the return on investment for this division?

Answers

The return on investment for this division is (B) 20%.

What is the return on investment (ROI)?Return on investment (ROI) or return on costs (ROC) is a ratio of net income to investment over time (costs resulting from an investment of some resources at a point in time). A high ROI indicates that the benefits of the investment outweigh the costs. ROI is used as a performance indicator to evaluate the efficiency of an investment or to compare the efficiencies of several investments. It is one method of connecting profits to capital invested in economic terms.

To find the return on investment for this division:

= income/average invested assets

= $40,000/$200,000

= return on investment

= 20%

Therefore, the return on investment for this division is (B) 20%.

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Correct question:

The Midwest Division of Grainger Company has an investment center average invested assets of $200,000 and an investment center income of $40,000. What is the return on investment for this division?

(A) 500%

(B) 20%

(C) 25%

(D) 80%

When evaluating a single project for acceptance, the NPV and IRR decision rules will give the same result when Blank

Answers

When evaluating a single project for acceptance, the NPV and IRR decision rules will give the same result when The graph of the NPV versus discount rate decline smoothly as the discount rate increases.

Net present value, or NPV, is used to calculate the current total value of future payments. If the NPV of a project or investment is positive, it means that the discounted present value of all future cash flows related to that project or investment will be positive, and therefore attractive.

It is calculated by taking the difference between the present value of cash inflows and the present value of cash outflows over a period of time. As the name suggests, net present value is nothing but net off of the present value of cash inflows and outflows by discounting the flows at a specified rate.

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When evaluating a single project for acceptance, the NPV and IRR decision rules will give the same result when The graph of the NPV versus discount rate decline smoothly as the discount rate increases.

Net present value (NPV) is the difference between the present value of cash inflows and the present value of cash outflows over a period of time. In contrast, the internal rate of return (IRR) is a calculation used to estimate the profitability of potential investments.

Both of these measurements are primarily used in capital budgeting, the process by which companies determine whether a new investment or expansion opportunity is worthwhile. Given an investment opportunity, a firm must decide whether making the investment will result in net economic gains or losses for the company

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Market Data Corporation is required to file a registration statement with the Securities and Exchange Commission. This statement must contain:

Answers

Based on the fact that Market Data Corporation needs to file a registration form with the Securities and Exchange Commission, their statement should include b. a description of securities being offered for sale.

What is needed to sign a registration statement with the SEC?

The Securities and Exchange Commission was established to ensure that the stock and capital markets run as smoothly as possible.

For this to happen, new companies that want to issue stock need to file a registration form with the SEC and this form must talk about the securities that are up for sale so that the SEC can have them on record.

Options for this question include:

a. a copy of prospectuses to be provided to investors. b. a description of securities being offered for sale. c. a record of pre-registration sales in securities. d. a statement that securities being offered for sale are worth the price

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Perfectly competitive industries are Group of answer choices difficult to enter because there are already so many producers in the industry. not particularly appealing or attractive to enter because there tend to be so many buyers that it is difficult to deal with them. relatively easy to enter but not so easy to exit from. none of the above

Answers

none of the above

What is the result of perfect competition in an industry?

A fully competitive firm's total revenue grows smoothly at a constant pace dictated by the current market price as it consistently generates more output.

What sort of market is competitive?

Consumer rivalry is fueled by a competitive market. This implies that consumers compete with one another for a good or service, particularly when stock is low. Customers frequently compete for the best seats when buying tickets to athletic events or concerts, for instance.

Which industries are completely competitive?Markets for produce: The closest example of ideal competition in real life may be a typical farmers' market.markets for foreign exchange.internet-related businesses

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Spending plans are divided into three categories with roughly ______% of the after tax budget going to the category of needs and _____________ % of the after tax budget going to wants, with the rest going to esi.

Answers

Spending plans are divided into three categories with roughly 50 % of the after tax budget going to the category of needs and 30% of the after tax budget going to wants, with the rest going to 20 % .

What is the 50-30-20 budget method?

The 50-30-20 approach that is often used in budgeting is known to be one one the of the simplest and very straight  way in the aspect of money management options.

Note that this ideal is often made for those who need to form a budget but they are said to not possess the time or the patience to be able to keep track of their spending in a well detailed manner.

The ways is that one need to spend 50 percent of their after-tax pay on needs, 30 percent in regards to wants, and the last 20 percent in regards to savings or paying off any kind of debts.

Hence, Spending plans are divided into three categories with roughly 50 % of the after tax budget going to the category of needs and 30% of the after tax budget going to wants, with the rest going to 20 % .

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You are mailing invitations to new medicare beneficiaries for a marketing event. You want an idea of how many people to expect?

Answers

If you want an idea of how many people to expect, so you would like to request RSVPs.

The Social Security Administration launched the Medicare national health insurance program in 1965. The Centers for Medicare and Medicaid Services are currently in charge of running the program.

Medicare (medical insurance) assists in covering the costs of some preventive services, outpatient care, home health care, durable medical equipment, and services from physicians and other healthcare professionals.

Low-income seniors are especially in need of Medicare coverage since they are less financially secure than their higher-income counterparts and have fewer resources available to them in the event of large medical expenses.

In light of the above, it is important to keep in mind that while you can ask for an RSVP, you are unable to get contact information. This will give you a better idea of how many people to expect.

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Gabriele Enterprises has bonds on the market making annual payments, with 10 years to maturity, a par value of $1,000, and selling for $890. At this price, the bonds yield 7.7 percent. What must the coupon rate be on the bonds

Answers

The coupon rate is 4.29%.

           

FV = 1000          

PMT  =  ?          

N  = 8          

I   = 5.10%          

PV =  -948          

           

Inputting the above details on the calculator you can find PMT

$42.92 PMT(5.1%,8,-948,1000)      

           

Alternatively, the PMT function in excel can also be used  

           

Coupon Rate = 42.92/1000  

= 4.29%    

                       

This gives you a coupon rate of 4.29%

Learn more about PMT here: https://brainly.com/question/24703884

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