Diversified portfolios had year-end assets of $279,000,000 and liabilities of $43,000,000. if diversified's nav was $42.13, how many shares must have been held in the fund?

Answers

Answer 1

The number of shares that must have been held in the fund is 5,601,709.

Shares is an investment app where friends invest and strategize together. Follow your friends' moves, discuss strategies and grow your investments. Simply put, equity is a percentage of ownership of a business or financial asset. An investor who holds shares in a company is called a shareholder

Stocks represent ownership of a company. When an individual buys shares in your company, they become one of the owners. Shareholders choose who runs a business and participate in making important decisions, such as whether or not to sell a business.

Assets = $279,000,000, Liabilities = $43,000,000

No of Shares = (Assets - Liabilities) / NAV = ($279,000,000 - $43,000,000) / $42.13 = 5,601,709.

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Related Questions

Why is it important for an exception/interrupt handler to save the $at register immediately after being invoked?

Answers

The Sat register immediately after being invoked It is necessary for function re-entrancy.

What is an exception and interrupt Handler?Exceptions are situations or system occurrences that call for privileged software (an exception handler) to take some action in order to maintain the system's functionality. They stop the execution process in its tracks. An interrupt is occasionally used interchangeably with an exception.Exceptions are situations or system occurrences that call for privileged software (an exception handler) to take some action in order to maintain the system's functionality. They stop the execution process in its tracks. An interrupt is occasionally used interchangeably with an exception.

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Effective hrm balances the competing needs of? competitive challenges and employee concerns. production and marketing. business and government. rare and organized talents.

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Effective HRM balances the competing needs of competitive challenges and employee concerns.

What is HRM ?

Human resource management is a strategic approach to the effective and efficient management of people in a company or organisation so that they help their business gain a competitive advantage. It is created to maximise employee performance in support of an employer's strategic goals.

The department of a business organisation responsible for the recruitment, supervision, and termination of employees is known as human resource management, or HRM. HRM places a strong emphasis on how employees contribute to the success of the company and constantly monitors the application of best practises.

The effective management of people within a company is what is meant by HRM. The performance of employees and the organization's strategic goals are often at odds with one another. HR management helps close this gap. An effective HR management team can also give businesses a competitive advantage.

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What is the downside of privately texting a team member during a virtual meeting?.

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You may lose track of the larger team discussion

Which type of cost flows through the formal accounting records in a standard cost system?

Answers

Standard cost system: Cost system in which standard, not actual, cost flow through the formal accounting records -Regardless of whether a standard cost system is used, standard costs can be useful at the end of the period for financial control purposes.

What is standard costing?By dividing the standard cost by the overall quantity, in this case 4634 units, the corporation may calculate the cost of producing one pair of running shoes. The business can plan the manufacturing budget and determine the ultimate selling price of the product using the standard costing value.You must multiply the rate of each by the quantity to get these costs (in units or hours). For instance, if the cost of direct materials is $10 and the unit size is 20 pounds, $10 would be multiplied by 20 to equal $200. This would be the typical price for only the direct materials.Companies that use standard costing for inventory assign predetermined costs to inventory items. This method is used to monitor and control inventory costs and levels, and it can be useful when creating budgets and making decisions.Using predetermined standard costs for direct materials, direct labor, and industrial overheads, standard costing is an accounting method. The first cost management method is budgetary control, and the second is standard costing. Additionally, it is one of the most recent advancements in cost accounting.

Standard cost system: Cost system in which standard, not actual, cost flow through the formal accounting records -Regardless of whether a standard cost system is used, standard costs can be useful at the end of the period for financial control purposes.

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When retailers collect sales taxes from customers, the taxes collected are recorded as:________
a. unearned sales taxes revenue.
b. sales.
c. sales taxes payable.
d. cash.

Answers

When retailers collect sales taxes from customers, the taxes collected are recorded as Sales or Sales taxes payable.

What are Sales taxes payable?

A sales tax is a fee that is paid to the government when specified goods and services are sold. Typically, laws permit the vendor to charge the customer the tax at the time of purchase.

Use taxes are typically used to describe taxes on goods and services that consumers pay directly to a governing authority.

The sale and use tax are frequently exempted for some goods and services, including food, education, and medical. A sales tax is similar to a value-added tax (VAT) that is levied on products and services. 

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An increase in the debt ratio will generally have no effect on which of these items?
a. business risk
b. total risk
c. financial risk
d. market risk

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An increase in the debt ratio will generally have no effect on business risk.

What is debt ratio?A debt ratio measures the amount of leverage used by a company in terms of total debt to total assets.This ratio varies widely across industries, such that capital-intensive businesses tend to have much higher debt ratios than others.A company's debt ratio can be calculated by dividing total debt by total assets.A debt ratio of greater than 1.0 or 100% means a company has more debt than assets while a debt ratio of less than 100% indicates that a company has more assets than debt.Some sources consider the debt ratio to be total liabilities divided by total assets.

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Given an anticipated inflation premium of 1. 45% and a real rate of interest of 4. 34%, what is the nominal interest rate? round your answer to 4 decimal places.

Answers

The nominal interest rate is 5.85% when given an anticipated inflation premium of 1. 45% and a real rate of interest of 4. 34%,

The expectation regarding rising inflation will results in a higher long-term rate of interest as many lenders and borrowers can build an increased type of inflation premium. The nominal interest rate is defined as the percentage of increase in money which pay the lender for using the money which you borrowed. A real interest rate is the type of interest rate which has been adjusted to remove those effects caused by inflation.

Here the rate of Inflation Premium is given as = 1.45%

The given rate of Real Interest Rate = 4.34%

The formula which is used for the calculation of nominal interest rates is given as,

( 1 + Nominal Interest Rates ) = ( 1 + Real Interest Rate ) × ( 1 + Inflation Premium Rate )

Nominal Interest Rate = { ( 1 + Real Interest Rate ) × ( 1 + Inflation Premium Rate ) } - 1

Nominal Interest Rate = { ( 1 + 0.0434 ) × ( 1 + 0.0145 ) } - 1

Nominal Rate = 5.85%

Hence, the nominal rate of interest is calculated as 5.85%

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What are the primary determinants of the level of committed costs? discretionary costs?

Answers

Committed fixed costs are those fees which are fixed duties of the business and need to be incurred to maintain continuity of operations. Discretionary constant prices are those charges which can be elective to the volume that their incurrence and fee is decided by means of budgeting exercise of the control.

A discretionary expense is a cost that a enterprise or family can live on with out, if necessary. Discretionary expenses are often described as nonessential spending. This means a commercial enterprise or family continues to be capable of keep itself even if all discretionary customer spending stops.

Discretionary expenses (avoidable prices) are fees or capital expenses that can be curtailed or maybe removed inside the quick term while not having an immediate impact on the fast-time period profitability of a business. Examples of discretionary expenses include advertising and marketing, renovation, education, R&D, and many others.

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Suppose hubert is currently using combination d, producing one boat per day. His opportunity cost of producing a second boat per day is?

Answers

His opportunity cost of producing a second boat per day is 3 as hubert is currently using combination d, producing one boat per day .

What is Cost of Production ?

The overall expenditures made by a company to provide a service or manufacture a certain quantity of a good or service are referred to as the cost of production. Labor, raw materials, or consumable supplies may all be included in the cost of production. The costs paid to acquire the production factors—such as labor, land, and capital—necessary for an item's manufacture are referred to as the cost of production in economics.

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Zapper has beginning equity of $261,000, net income of $53,000, withdrawals of $42,000 and investments by owners of $8,000. its ending equity is:____.

Answers

Zapper has beginning equity of $261,000, net income of $53,000, withdrawals of $42,000 and investments by owners of $8,000. its ending equity is $227,000.

What is equity?The equity is the sum of the stockholders' investment, current year's net income, and beginning retained earnings. Shareholder' equity decreases when the company incurs a loss.The equity accounts of an entity are presented in its balance sheet, and include its common stock and retained earnings account. The movements in equity accounts are disclosed in the Statement of Changes in Equity.The common stock account increases when shareholders invest additional capital in the entity.Retained Earnings increase when the company generates a net income and decreases with distributions, called dividends paid, to the shareholders and when the company suffers losses.

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Madison+purchased+a+new+car+for+$23,000.+she+was+allowed+$3,000+for+her+trade+in+and+financed+the+remainder+over+48+months+at+a+rate+of+4%+per+year.+how+much+is+her+monthly+payment?

Answers

The monthly payment to be made for 48 months $ 451.58.

Finance, of financing, the is the technique of raising price range or capital for any sort of expenditure. it's far the method of channeling various budget inside the shape of credit score, loans, or invested capital to the ones financial entities that maximum need them or can placed them to the most productive use.

Finance is the specialized look at of how an individual or a company manages its budget. frequently blended or overlapped with accounting/business, a finance degree offers you a broad knowledge of the way that money impacts humans and places.

Price of new car   23000    

Less: trade n allowance 3000    

Net cost to be financed   20000  

         

Annual Rate of interest = 4%      

Monthly rate of interest = 4/12 = 0.33%    

         

Annuity PVF at 0.333% for 48 months 44.28918  

Monthly payment to be made for 48 months 451.58  

 (20000 / 44.28918)      

         

The answer is $ 451.58

Disclaimer:- The proper question is:-

Q. Madison purchased a new car for $23,000. she was allowed $3,000 for her trade in and financed the remainder over 48 months at a rate of 4% per year. how much is her monthly payment?

     

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B. tanner contributed $14,000 in cash plus office equipment valued at $7,000 to the jt partnership. the journal entry to record the transaction for the partnership is:_______

Answers

The journal entry to record the transaction for the partnership is Debit Cash $14,000; debit Office Equipment $7,000; credit B. Tanner, Capital $21,000

A journal entry is a record of a business's financial transactions kept in its accounting books. An accurate date, the amounts to be debited and credited, a description of the transaction, and a special reference number are all components of a properly documented journal entry. Transactions are recorded in a subsidiary book of accounts called the journal. A journal entry is an act of recording any transaction, whether one that is economic or not. An accounting journal that displays the debit and credit balances of a company lists transactions. Multiple recordings, each of which is either a debit or a credit, may be included in the journal entry.

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How+long+will+it+take+for+an+investment+to+double+at+a+3%+per+year?
(a) simple+interest+rate
(b) compound+interest+rate

Answers

It will take for an investment to double at a 3% per year simple interest rate.

Funding is the determination of an asset to obtain a boom in fee over a time period. investment calls for a sacrifice of some present asset, inclusive of time, cash, or effort. In finance, the motive of making an investment is to generate a go back from the invested asset.

An investment is an asset or item obtained with the aim of producing earnings or appreciation. Appreciation refers to a boom in the cost of an asset through the years. while a character purchases an amazing as funding, the rationale is not to devour the best but alternatively to use it inside the future to create wealth.

The maximum common examples of funding sorts. Investment, in preferred, refers to the acquisition of something for destiny use with the aim of producing everyday coins that go with the flow or increasing the value of something over time so that it is able to be offered for a higher fee than it becomes bought for, i.e. capital profits.

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This question is incomplete. Look below for the proper question.

How long will it take for an investment to double at 3% per year?

(a) simple interest rate

(b) compound interest rate

Internal and external stakeholders such as customers, suppliers, or employees who interact with the information in support of their organization's planning and operations are known as ____________.

Answers

Internal and external stakeholders such as customers, suppliers, or employees who interact with the information in support of their organization's planning and operations are known as data users.

Data user:

A data user is someone who accesses and investigates integrating datasets for statistical and research reasons.

What exactly Is a Stakeholder?

A stakeholder is a party who has an interest in a firm and can influence or be influenced by it. A typical corporation's key stakeholders are its investors, employees, customers, and suppliers. Stakeholders may be both internal and exterior to a company. Internal stakeholders are those who have a direct interest in a firm, such as employment, ownership, or investment.

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If actual production totals 6,000 units, which is within the relevant range, the flexible budget would show fixed costs of:_______

Answers

The fixed cost as per the static budget is $12,000.

What is a fixed cost?Fixed costs, sometimes referred to as indirect costs or overhead costs in accounting and economics, are costs incurred by a corporation that are independent of the volume of goods or services the company produces. They frequently occur again and again, like monthly rent or interest payments. These expenses are often capital expenses as well.Costs that are fixed are those that don't change based on volume. Most fixed costs are expenses that depend more on time than on how much your company produces or sells. Rent and leasing charges, salary, energy prices, insurance, and loan repayments are a few examples of fixed costs.Rent and mortgage payments are two examples of fixed expenses. Auto loans. Additional loan paymentsTotal production costs — (Variable cost per unit multiplied by the number of units produced) = Fixed costs.

Compute the fixed cost as per the static budget as shown below:

Fixed cost-Number of units under static budget Fixed cost per unit

=-4,000 units*$3

=$12,000

Thus, the fixed cost as per the static budget is $12,000.

Fixed cost

Fixed cost remains the same even though there is a change in the level of activity subject to

the condition that the actual production is within the relevant range As the actual production of 5,000 units is within the relevant range of production the fixed

cos does not change

Thus, the amount of fixed cost is $12,000, and the correct option is Option $12.000

If actual production totals 6,000 units, which is within the relevant range, the flexible budget would show fixed costs of: $12.000.

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If the exchange rate is 3 units of peruvian currency per dollar and a hotel room in lima costs 300 units of peruvian currency, than how many dollars do you need to get a room?

Answers

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Economics as a discipline, if collapsed into its most simple form, could
MOST accurately be described as the study of which two market forces?
discretion and income
barter and exchange
supply and demand
push and pull

Answers

Economics as a discipline, if collapsed into its most simple form, it could most accurately be described as the study of which two market force which are demand and supply.

What is an Economics?

It basically refers to the study of how people allocate scarce resources for production, distribution, and consumption. Extensively, it means the social science that focuses on the production, distribution, and consumption of goods, services and analyzes the choices that individuals, businesses, governments, nations etc make to allocate resources.

In conclusion, when the social science is collapsed into its most simple form, it could most accurately be described as the study of which two market force which are demand and supply.

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Economic inflows to a firm that result from selling goods and services are called?

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Economic inflows to a firm that result from selling goods and services are called revenue

Revenue specifies when revenue should be recognized from the sale of goods, the rendering of services, as well as interest, royalties, and dividends. Revenue is calculated at the fair value of the consideration received or receivable and recognized when certain conditions, which vary depending on the nature of the revenue, are met.

Revenue is defined as the gross inflow of economic benefits (cash, receivables, and other assets) resulting from an entity's normal operating activities (such as interest, royalties, and dividends, sales of goods, sales of services)

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Sam is paying off his eight-year, $15,360 loan in semiannual installments. The loan has an interest rate of 9. 58%, compounded semiannually, and a service charge of $1,294. 64. Once the loan has been fully paid off, what percentage of the total finance charge will the service charge be?.

Answers

The ideal response the service charge will make up 15.68% of the total finance charge.


Finance Charge, often known as the cost of borrowing or cost of credit, refers to the interest or fees that have accrued on the approved credit capacity; occasionally, there is also a flat charge for the charge. However, the majority of the time, it is the ratio of borrowing from an extended line of credit.

Finance charge overall

Given,

Sam makes semi-annual payments on a $15,360 loan.

$15,360 is amount A.

9.58% is the interest rate

Semi-annual compounding

Therefore, rate= 9.58%/2 = 4.79%.

number of cycles, n

P being a recurring payment,

Sam's total payment over 16 periods was

Since the service charge equals $1,294.64,

Total finance charge equals the sum of the payment plus the service fee.

Service fees will make up 15.68% of the total finance fees.

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The interaction of buyers and sellers in a market is fundamental for the determination of:________

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The interaction of buyers and sellers in a market is fundamental for the determination of price.

What is the relationship between the buyers and the sellers?

The relationship that exists is the price of the good that is being sold from which a buyer would agree to get the goods that the seller would bring to the market. At every price, the buyer is willing to pay for a good if they are able to get the satisfaction that they need from the good at the price that it is listed for in the market.

Hence we can say that the interaction of buyers and sellers in a market is fundamental for the determination of price.

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A firm pursuing a(n) _____ strategy concentrates on a specific regional market, product line, or group of buyers.

Answers

A firm pursuing a(n) focus strategy concentrates on a specific regional market, product line, or group of buyers.

What is a Focus strategy?

Focus strategy is essentially a core marketing tactic that enables businesses to pinpoint the precise requirements of a specialized market and create goods that meet these requirements.

In this small sector, giving value to clients continues to be the only priority. This approach is sometimes referred to as a specialty marketing approach.

This approach encourages businesses to concentrate on a highly specific target market and provide them with unrivaled value as compared to other fundamental methods like mass marketing and differentiated marketing.

A niche marketer would create a highly personalized product for a select group of buyers within the same market, as opposed to a mass marketer who might provide a standard product for everyone in the industry.

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The discount rate that makes the present value of the bond's payments equal to its price is known as the?

Answers

The internal rate of return (IRR) of the bond is expressed as yield to maturity (YTM). The discount rate that compares the present value of future cash flows to the initial investment is known as the IRR for a project. The discount rate, as used in capital budgeting, is what brings the net present value (NPV) to a negative number.

Yield to maturity (YTM) is the overall rate of return that a bond will have earned once all interest payments are made and the principal is repaid. In essence, YTM represents the internal rate of return (IRR) on a bond if held to maturity.

The annual income from an investment, which includes dividend and interest payments, is divided by the security's current market value to determine a bond's current yield. The total return anticipated on a bond if it is held until its maturity date is known as yield to maturity (YTM).

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Why is the price elasticity of demand for coca-cola greater than the price elasaticity of deman for soft drinks generally?

Answers

A soft drink's price elasticity of demand is lower than Coca-Cola's, which is more sensitive to price. This is due to the ease with which consumers can switch from Coca-Cola to other comparable soft drink alternatives, such as Pepsi.

However, it would be challenging to replace soft drinks as a whole with alternative products. The price elasticity of demand for soft drinks, in general, is lower than the price elasticity of demand for Coca-Cola because there are no other close substitutes for them. The quantity required of a thing or service changes in response to a change in the product's price, and this is measured by the price elasticity of demand. It is computed by subtracting the product's price change from the quantity demanded, divided by the product's price change. Because the quantity of Coca-Cola products demanded frequently changes when prices vary, these products are thought to have an elastic demand.

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Thomas invests $122 in an account that pays 5 percent simple interest. how much money will thomas have at the end of 5 years?

Answers

$152.5 is the money will Thomas have at the end of 5 years.

What is simple interest?

To calculate the amount of interest that will be charged on a loan, use the quick and easy formula known as simple interest. For the purpose of calculating simple interest, the daily interest rate, the principal, and the number of days between payments are multiplied.

This method of calculation is used in some mortgages, but it is more often used in auto loans or short-term loans.

When you make a payment on a loan with simple interest, the first portion goes toward the monthly interest, and the remaining balance is applied to the principal. Because it is always paid in whole every month, interest never accumulates.

Contrarily, compound interest increases the loan balance by adding some of the monthly interest; moving forward, you pay fresh interest on top of the interest from the previous month.

Thus, simple interest is the most basic form of calculating interest.

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Melissa offers you $1,000 today or $1,500 in 5 years. you would prefer to take the $1,500 in 5 years if the interest rate is:__________

Answers

Melissa offers you $1,000 today or $1,500 in 5 years. you would prefer to take the $1,500 in 5 years if the interest rate is: 8%.

interest rate is the amount of interest payable each period, corresponding to the amount lent, deposited, or borrowed. The total amount of interest on a loan or borrowed amount depends on the principal amount, the interest rate, the frequency of compounding, and the length of time it is loaned deposited or borrowed.

interest rate is the amount the lender charges the borrower and is a percentage of the principal, i.e. the amount lent. The interest rate on a loan is usually recorded on an annual basis called the annual percentage rate (APR).

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The formula models the population of a us state, a, in millions, t years after 2000.
a. what was the population of the state in 2000?
b. when will the population of the state reach million?

Answers

The population of the state in 2000: was 24.2 million,

The population of the state reach a million: in 2003

What do you mean by population?In common parlance, a population is a distinct group of people who share a common citizenship, identity, or set of traits. A population is a sampling that is typical of a broader group of individuals (or even objects) that share one or more characteristics.It is a collection of members of the same species that can procreate together and occupy a specific space during a certain amount of time. Community It is an amalgamation of many populations in a specific location that displays trophic linkages that facilitate interaction and interdependence.It could be a collection of people, things, occasions, organizations, etc. To make inferences, use populations. population in Figure 1. A population can be all the students at a particular school. All of the pupils enrolled at that school at the time of data collection would be included.

a. what was the population of the state in 2000?

in 2000,  t=0

so,

A = 24.2 * e.0775*0  million = 24.2 million

Answer= 24.2 million.

b. when will the population of the state reach a million?

31.4 = 24.2 e.0775*t

0075*t=ln(31.4/24.2)

t= 3.3

Hence, the answer = is 2003

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You decide to purchase real property, what type of property (condo, single family home, apartment building, commercial property, parking lot, etc.) would you buy? why?

Answers

I would purchase Single-family home because it gives more privacy and can be used as real estate investing.

What is a single-family home?

A freestanding home set alone on its own piece of property.A single-family home is an independent residential structure that sits on its own land and is designed to be used as a single dwelling unit, having just one kitchen, unshared walls and unshared utilities.It gives you more privacy as it is built on a piece of private property and doesn't share walls. There is always more storage space compared to any other type of property with shared walls, you have scope for shed or garage.It has low cost entry, Reduced Tenant Turnover.

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Consumer surplus is the difference between the ___ price a consumer is willing to pay for a product and the price paid.

Answers

Consumer surplus is the difference between the highest price a consumer is willing to pay for a product and the price paid.

A consumer is someone or a group who intends to order, orders, or uses purchased goods, products, or services basically for private, social, family, household and comparable desires, not at once related to entrepreneurial or business sports.

Any individual who purchases services or products for his non-public use and no longer for manufacturing or resale is called a purchaser. A customer is one who's the selection-maker whether or now not to buy an object at the store or a person who is stimulated by using advertisement and advertising

Purchasers represent the top trophic levels. unlike manufacturers, they cannot make their own meals.

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What was the total revenue for the graduates inn in december?
a. $20,751.45
b. $23,128.95
c. all of these
d. none of above

Answers

What was the total revenue for the graduates inn in december?

$23,128.95

The total amount of money earned from the sale of goods and services that are necessary to the company's basic business operations is referred to in accounting as revenue. Sales or turnover are also included under the umbrella phrase "commercial revenue." Royalties, interest, and other fees are sources of revenue for some companies. The word "revenue" can refer to both general income as well as the total amount of money made over a certain time frame, as in "Last year, Company X had revenue of $42 million." Profits are often defined as total revenue less total expenses for a certain time period, or net income. Often referred to as the "top line," revenue is a part of the equity section of the balance sheet in accounting and raises equity.

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A provider owns and maintains a data center for other companies. the company's business units provision virtual machines through an automated portal. what deployment model is this?

Answers

A provider owns and maintains a data center for other companies. the company's business units provision virtual machines through an automated portal. The deployment model is Private Cloud.

There are 4 cloud deployment models public, personal, community, and hybrid. every deployment model is defined consistent with wherein the infrastructure for the surroundings is positioned. There are 3 important cloud provider models: software program as a carrier, Platform as a carrier, and Infrastructure as a provider.

The cloud deployment model identifies the specific sort of cloud surroundings based on ownership, scale, and get right of entry, as well as the cloud's nature and purpose. The region of the servers you are making use of and who controls them is described via a cloud deployment model.

The general public cloud deployment model is the most popular one. In a public cloud deployment model, you do not own any hardware, since all the assets are supplied by using the cloud service provider.

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If the price elasticity of demand for a good is 1.4, then a 14 percent increase in the quantity demanded must be the result of:________ Would you have signed the Declaration of Independence Luis and Raul are riding Determine whether y varies directly with x . If so, find the constant of variation. y-6 x=0 Use the situation and diagram below to answer the following. The figure shown to the right is made up of a rectangle and a triangle. 10. Write a formula for the perimeter P in terms of x. write 8 sentences about the very important mobile phone etiquette PART B: Which detail from the text best supports the answer to Part A? Introduction to world war II When comparing 2 hydrocarbons, why would the larger, higher molecular weight molecule have a higher melting point? A patient who subconsciously converts his or her anxiety into a bodily dysfunction is experiencing:_____. HELP I HAVE 10 MINUTES, PLEASE Zoe and Mackenzie are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Zoe is 249 miles away from the stadium and Mackenzie is 237 miles away from the stadium. Zoe is driving along the highway at a speed of 58 miles per hour and Mackenzie is driving at speed of 55 miles per hour. Let ZZ represent Zoe's distance, in miles, away from the stadium tt hours after noon. Let MM represent Mackenzie's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine whether Zoe or Mackenzie is closer to the stadium 2 hours after noon. anyone please help me this 1. Homer was a famous Greek poet. A. HomerB. wasC. poet Given the following functions, find and simplify (f+g)(x).f(x) = -3x+x-3g(x) = x+3 Working alone, Cody can dig a 10 ft by 10ft hole in six hours. Shreya can dig the samehole in seven hours. If they worked togetherhow long would it take them? Use the locus definition of a circle and dilations to prove that all circles are similar. Apply10. Fouster's Farms has 5^3fruit trees on their land. Myrna's Farms has fivetimes as many fruit trees as Fouster's. A commercial farm has 500 fruittrees. Which farm has the most fruit trees? What were the points of contention between colonists and the British government? It has mostly (20)___________ connective tissue it is composed of a network of (21)__________ and elastic fibers it contains (22)_________ vessels and a rich (23)________ supply Joey is one year older than twice is brother Mark's age. Mark is M years old. What expression below can be used to find Joey's age ?