a bank lends money for a year at an interest rate of 7%, and the inflation rate for that year turns out to be 5%. what is the bank's real rate of return for that year?

Answers

Answer 1
the banks real rate of return that year is 2% !!

Related Questions

what type of ranking is being used when managers look over a list of employees, decide who is best and cross that name off the list, decide who is the worst employee and cross that name off the list, and then repeat the process?

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The type of ranking that is being used when managers look over a list of employees, decide who is best and cross that name off the list, decide who is the worst employee and cross that name off the list, and then repeat the process is called alternation ranking.

What is alternation ranking?

It is a story of the ranking method used by human resource managers, and this ranking methodology is used to select the worst and the best employees. It is important to mention that a criterion or a trait is being used to assess the employees.

Managers use the alternation ranking method to rank an employee by indicating how much such an employee scores on particular criteria or traits. The higher or lower the score on that criteria, the higher or lower will be the ranking.

It can be concluded that the type of ranking that is being used when managers look over a list of employees, decide who is best and cross that name off the list, decide who is the worst employee and cross that name off the list, and then repeat the process is called alternation ranking.

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materials costs $112,900 conversion costs $93,900 the ending inventory was 85% complete with respect to materials and 30% complete with respect to conversion costs. note: your answers may differ from those offered below due to rounding error. in all cases, select the answer that is the closest to the answer you computed. to reduce rounding error, carry out all computations to at least three decimal places. the cost per equivalent unit for materials for the month in the first processing department is closest to:

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Equivalent units quantify the amount of labor put into a set quantity of tangible objects. You can simply multiply the quantity of physical goods by the amount of effort done on them to determine equivalent units. You would have one comparable unit for two objects that are 50% complete (2 x 50% = 1).

Explain about the equivalent  unit?

Given the amount of direct materials, direct labor, and manufacturing overhead costs incurred during that time for the products that weren't yet completed, it is the number of finished units of a product that a corporation could have hypothetically produced.

The total of the costs added during this period and the initial work-in-progress costs divided by the equivalent units is the cost per equivalent unit. A corporation might have produced a certain number of equivalent units with a specific amount of raw materials, labor, and manufacturing costs.

For instance, if the materials for 500 units are finished, but only 40% of the direct labor and manufacturing overhead are finished, the comparable units are 500 for materials and 200 (40% of 500).

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which of the following statements are correct? multiple select question. in practice, direct labor costs are really fixed. managers generally have the ability to quickly adjust the direct labor force. treating direct labor as a variable cost improves decision making. employee morale may be reduced when direct labor is treated as a variable cost.

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Direct labor costs are really fixed and Employee morale may be reduced when direct labor is treated as a variable cost are the given correct statements.

A direct labor cost is a component of the wage bill or payroll that can be specifically and consistently attributed to or related with the production of a good, the completion of a specific task, or the rendering of a service. We can also state that it represents the price of the direct labor performed by those employees who really create the product on the assembly line.

Employee morale refers to a person's mood, level of contentment, and outlook while working for a company. Negative consequences such as low production and low employee morale will occur if your company has a weak culture. Employee or workplace morale is the level of employee satisfaction at work.

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if an organization does not yet have social media content and followers, what can it do to help identify its target markets? more than one answer may be correct.

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Answer:

rattttt

Explanation:

to understand what items are most likely to sell from on-campus vending machines, a company distributes surveys and holds a few focus groups of vending machine users on different campuses. the company is in what step of the marketing research process?

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The company is in data collection step of the marketing research process

      Data collection in marketing research is a meticulous process in which the researcher conducts a planned search for all pertinent data. Quantitative research quantifies the data and extrapolates population-wide conclusions from a sample. Data can be gathered for quantitative research using one of two techniques: Methods of survey and observation.

    This approach is to use numerical data and show facts or find patterns in the research. In essence, quantitative research is more objective whereas qualitative research is more subjective.  

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if after one year of marriage taxpayer pursuant to their divorce decree deeded one-half of the residence to spouse and taxpayer continued to occupy the residence while spouse moved out, and, one year later, they sold the residence for $500,000?

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This means that even if the other spouse earned all of the income, one spouse may still be responsible for paying the entire tax bill separating taxpayers.

Any marriage that has been solemnised, whether before or after the start of this Act, may, on a petition presented by either the husband or the wife, be dissolved by a decree of divorce on the grounds that the other party has treated the petitioner cruelly after the marriage has been solemnised; has deserted the petitioner for a continuous period of time; or has engaged in voluntary sexual activity with anyone other than his or her spouse.

Adultery committed before the petition is presented should be the basis of an adultery-based divorce petition. However, proof of adultery committed after the petition was filed is admissible in order for the court to make conclusions about the respondent's behaviour in the future.

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Which of the following would use a 1040 tax return form in order to itemize their deductions?

A: The government
B: Small businesses
C: Large corporations
D: Married people with children

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Small businesses  would use a 1040 tax return form in order to itemize their deductions. A person must submit an Income Tax Return (ITR) form to the Indian Income Tax Department. It includes details on the individual's earnings and the yearly taxes owed. Tax refunds and tax returns are not the same thing.

However they are related. For instance, your tax refund may increase depending on the credits and deductions you claim. Additionally, if businesses need to get your anticipated refund quickly, filing online and well in advance of the due date will help. When too much money is withheld from their tax return, the taxpayer gets a refund at the end of the year.

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an insurance company uses the following tasks to process paperwork. 40 claims need to be processed in an 8 hour day. a. what is the theoretical takt time? b. what is the theoretical number of stations c. assign the tasks to the stations to balance the line using the longest operating time rule. d. what is the efficiency of the balanced line?

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Takt time is calculated as Time available for production / Customer demand equals to 8 hours / 40 claims = 8 x 60 minutes / 40 claims = 12 minutes per claim.

Customers' needs for particular goods or services are referred to as consumer demand. Be familiar with the definition of consumer demand, its relationship to supply, and its impact on the economy.

Theoretical number of Takt time workstations = Sum of task times / Cycle time = (6 + 6 + 6 + 9 + 3 + 4) / 12 = 34 / 12 = 2.833 = approximately 3 workstations.

c) The order of the time spent on each activity in decreasing order of consumer demand is D,A,B,C,F,E.

Following the longest operational time guideline, workstations are Takt time assigned to the following tasks:

Workstation Tasks in order Workstation time (Minutes) Idle time (Minutes)

1 D,E 12 0

2 A,B 12 0

3 C,F 10 2

d) Efficiency of Balanced line = Sum of task times / (Number of workstations x cycle time) x 100

= 34/36 x 100 = 94.4%

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if the fixed costs of opening an internet specialty sporting goods business are $10,000, price is $60 and variable cost per unit of $20, the break-even point is:

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The point at which there are no losses or gains for your small business is known as the break-even point. This point is reached when total costs and revenue are equal.

To put it another way, you have reached the point where a product's revenues and costs of production are equal.

How is the break-even point determined?

The break-even point in accounting is determined by dividing the price per unit by the fixed costs of production minus the variable costs of production. The point at which a product's production costs and revenues are equal is known as the break-even point.

Fixed Costs = $10,000

Price =  $60

Variable Costs = $20

$10000 ÷ ($60 - $20)

= $10000 ÷ ($40)

= $240

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assuming a 360-day year, proceeds of $44,732 were received from discounting a $45,997, 90-day note at a bank. the discount rate used by the bank in computing the proceeds was a.9% b.12% c.13% d.11%

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The discount rate used by the bank in computing the proceeds was 9% option A

What is the discount rate?

Generally, The interest rate that is levied on commercial banks and other financial institutions by the Federal Reserve Bank for short-term loans that these institutions take out is referred to as the discount rate.

The interest rate that is employed in discounted cash flow analysis (also known as DCF analysis) to assess the present value of future cash flows is referred to as the discount rate.

The interest rate that a central bank applies to loans and advances it makes to commercial banks is referred to as the bank rate or, in American English, the discount rate.

Discount rate, Let's consider A is the bank discount rate

Net proceeds=Total amount of note - Discounting charges

44,732 =45,997 - (45,997 × A×90/360)

44,732 -45,997= - (45,997 × A×90/360)

A=0.099

A=9% Option A

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what are four positions that typically make up members of the on-site management team group of answer choices estimator, payroll, human resources, submittals project engineer, foreman, estimator, secretary project manger, superintendent, assistant superintendent, project engineer project engineer, estimator, contract administrator, and payroll

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Three positions that make up the on-site project team are director, deputy superintendent, and field architect.

What is management team?A management team is a group of high-level associates hired by a business owner to take on critical business responsibilities. These are the highest levels of management within a company or business, and each specializes in a different aspect of business management, such as accounting. The Executive Management Team is in charge of managing the Company's core business operations as a whole, which necessitates the planning of various development processes, Group principles, and Group practices, as well as the monitoring of financial matters and Group business plans. A strong management team will ensure that your company's growth is sustained and long-lasting.

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An e-verify case must be created no later than the end of ___ business days after the employee begins work for pay.

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An e-verify case must be created no later than the end of the third business days after the employee begins work for pay.

E-Verify is an internet-based system that verifies your employment eligibility by comparing the data on your Form I-9 with records held by the Social Security Administration (SSA) and the Department of Homeland Security (DHS) of the United States.

All firms that receive state grants or contracts worth more than $5,000 must use E-Verify, as are all public employers. It is a requirement for several state and federal government contractors to use E-Verify. The contract contains details on the E-Verify requirement. E-Verify is now an option for most firms, but certain states mandate its usage, and the federal government may impose a requirement on some businesses.

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in a business environment, persuasion is critical to success. persuasion is necessary when you anticipate resistance or when you are making more than routine demands. which of the following are elements of effective persuasion? check all that apply. involves coercion or trickery proves the merits of your proposal deceives and fabricated evidence explains logically and concisely the purpose of the request establishes credibility

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Persuasion is essential for success in a commercial setting. When you are making more than commonplace demands, persuasion is required. Effective credibility includes establishing trustworthiness.

Being credible is the same as being trustworthy. When someone speaks in front of an audience, they want to be believed. They want to know who the Persuasion speaker is and why they are competent to give the speech. These questions should be addressed in the speaker's opening statement of credibility. Why should the audience pay attention to the speaker is Persuasion explained in the credibility statement.

Its goal is to establish/demonstrate the speaker's credentials and validity in relation to the subject. A credibility statement can also be called a credibility position. The opening of the speech should be attention-grabbing, followed immediately by the assertion of credibility.

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key characteristics of the maturity stage are which two of the following? multiple select question. marketing costs are directed at holding market share. intense competition on price occurs. buyers enter the market at a rapid pace. many new competitors enter the market. revenues begin to increase rapidly.

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The key characteristics of the maturity stage are :

intense competition on price occurs.marketing costs are directed at holding market share.

What is the maturity stage of the product life cycle?

The maturity stage can be described as the stage in the product life cycle which is the stage that can b found after the introduction and growth stages.

It should be noted that this maturity stage serves as the stage that is been considered as the longest stage that can be attributed to the product life cycle.

In conclusion, in this stage  in the organization or the firm, the sales growth begins to decline because as at this stage the production as well as the selling of the goods as well as the services will now be at its peak as a result of this there will be no available new customer to patronize and the production of the goods will be at the stage where there will be no improvement and there will be no increase of profit  in the organization.

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marketing researchers take great care in developing research questions that measure attitudes, beliefs, behaviors, and demographics because they desire positive research outcomes. true false

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This is because Marketing research serves marketing management by providing information which is relevant to decision making.

What is marketing research?

Marketing research is the process of interviewing prospective customers directly to ascertain the viability of a new service or product.

Information that is pertinent to decision-making is provided by marketing research, which benefits marketing management.

Marketing research neither determines the course of action nor ensures success. Instead, market research assists in lowering the level of confusion surrounding the decision to be made.

In simple words Marketing research is the systematic and objective search for, and analysis of, information relevant to the identification and solution of any problem in the field of marketing.

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Katherine invests $7,770 in a six-month money market account giving 5.8% simple annual interest and $12,500 in a three-year cd giving 7.25% simple annual interest. assuming that katherine does not reinvest or renew these investments, how much money will she have when both investments reach maturity, to the nearest dollar? a. $2,944 b. $15,219 c. $23,214 d. $30,886 please select the best answer from the choices provided a b c d

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Katherine will have $23214 to the nearest dollar from both investments by Simple interest assuming that Katherine does not reinvest or renew these investments.

Simple interest = Principal * Time * rate

Money Market Account

Simple interest = 7770 *5.8/100 *6/12 = 7770 * 0.058 * 0.5 = $225.33

So, at maturity, she will receive $7770 + $225.33 = $7995.33.

CD account

12500* 0.0725 *3 = $2718.75 = simple interest

At the end of the period, she receives: $12500 + $2718.75 = $15218.75

At maturity, the total amount she receives from both investments is: $15218.75 + $7995.33 = $23214.08

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Answer:

so its c

Explanation:

g stock e is expected to pay a dividend of $1.78 one year from today. at that time, the price of stock e is expected to be $92. today, stock e's expected return is 8%, and it is overpriced by $6.33. calculate stock e's required return

Answers

​The necessary return for stock e is 59%.

 

The stock's required return defines as,

E(R)=RFR+β stock×(R market −RFR)

=0.08+1.78 ×(.92−.063)

=59%

Define The Required Rate of Return (RRR)?

The minimal profit (return) an investor will seek or expect in exchange for taking on the risk of investing in a stock or other type of security is known as the required rate of return (RRR).

RRR can also be used to determine a project's potential profitability of its funding costs. RRR denotes the degree of risk associated with committing to a particular project or investment. The level of risk increases as the return increases.

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there are many different types of positions in an advertising agency. what are the primary positions likely to be found in an agency such as the brownstein group?

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We will check out at the three sides of straightforwardness according to the accompanying viewpoints: the distributer, the promoter, and the client.

What role does advertising play?

A company can focus on a specific aspect of its products or services with an ad position strategy. The main idea or message, such as superior customer service, is the ad position itself. In their advertising, small business owners can emphasize any number of positions or benefits.

What are the four advertising positions?

Advertising on Display.

Advertising via video.

Advertising on mobile devices.

Native marketing.

What role does advertising play?

A company can focus on a specific aspect of its products or services with an ad position strategy. The main idea or message, such as superior customer service, is the ad position itself. In their advertising, small business owners can emphasize any number of positions or benefits.

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explain how a change in the money supply can affect the following in the short run: a. the supply of loanable funds b. real gdp c. the price level d. the expected inflation rate

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The real GDP is affected by a change in the money supply can affect the following in the short run.

Define real GDP.

Real GDP is a macroeconomic metric that accounts for inflation and quantifies the worth of the products and services generated by an economy over a given time period. A country's gross domestic product that has been accounted for inflation is known as real GDP. Real gross domestic product (GDP), which refers to the volume level of GDP, is GDP expressed at constant prices. By quantifying the values of all the goods and services produced in a given year in terms of a base period, one can derive constant price estimates of GDP.

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toro introduced a small, lightweight snowblower called the snow pup. even though the product worked, sales failed to meet expectations. toro later found out that consumers perceived the name to mean that snow pup was a toy or too light to do any serious snow removal. when the product was renamed snow master, sales increased sharply. this is likely an example of

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The product was renamed snow master, sales increased sharply. this is likely an example of Selective distortion.

Because you believe in advertising, you choose to purchase a product from a particular brand, just to find out that it is not as high-quality as you had been led to believe. The tendency for people to interpret information in a way that confirms already held views or perceptions is known as selective distortion.

Selective perception is the propensity to ignore and forget more rapidly things that are upsetting emotionally or go against our preconceived notions. Because of their bias against members of their own group, teachers, for instance, could have a favorite pupil. The instructor disregards the student's subpar performance.

The propensity to interpret information in a way that will fit our beliefs is known as selective distortion. Information is frequently distorted by consumers in order to support existing brand and product beliefs.

Customers often interpret information to fit or support their prejudices, which is known as selective distortion. Customers misinterpret information in a specific way in order to make it conform with their ideas about a brand or a previous product.

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abbey co. sold merchandise to gomez co. on account, $28,500, terms n/45. the cost of the goods sold was $19,950. abbey co. issued a credit memo to gomez co. for $2,200 for merchandise returned that originally cost $1,500. gomez co. paid the invoice within the credit period. what amount of gross profit is earned by abbey co. on these transactions?

Answers

The gross profit earned by Gomez Company on these transactions is $11,897.

A company's gross profit is calculated by deducting its entire sales from its total cost of products sold. All products sold by the business are included in the overall sales. All of the variable costs related to sales are added together to form the overall cost of the products sold.

Net sales are the total of a company's gross sales less any discounts, returns, and allowances. Net sales calculations are not always clear from the outside. When determining top-line revenues that are shown on the income statement, they are typically taken into consideration.

Net sales = sales - sales return - sales discount

Sales = $28,600 - $3,400 = $25,200

Sales Discount = $25,200 x 2%

Sales Discount = $504

Net Sales = $ 25,200 - $504 = $24,696

Cost of Goods Sold = $ 13,818 - $1,019

Net cost of goods sold = $ 12,799

Gross profit = net sales - net cost of goods sold

Gross profit = $ 24,696 - $ 12,799

Gross profit = $ 11,897

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________ occurs when the supplier, rather than the retailer, manages the entire inventory process for a particular product or group of products, resulting in more effective inventory replenishment.

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VMI(Vendor Managed Inventory) occurs when the supplier, rather than the retailer, manages the entire inventory process for a particular product or group of products, resulting in more effective inventory replenishment.

What is Vendor Managed Inventory?

Vendor-managed inventory (VMI) is an inventory management technique in which a product's manufacturer or other supplier is in charge of making the best use of a distributor's inventory.

In conventional inventory management, a retailer (also known as a distributor or a buyer) is in charge of determining the order size. With VMI, the vendor—sometimes referred to as the supplier—receives the retailer's inventory data and uses it to make the order size decision. As a result, the vendor is liable for the retailer's ordering costs, while the retailer is accountable for their own holding costs. This approach can prevent stocking unnecessary inventory, which can lower costs overall.

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Which does not increase the price of certain goods? question 7 options: tariffs sales taxes excise taxes property taxes

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       Taxes are compulsory payments made by a government organization, whether local, regional, or federal, to people or businesses. Tax revenues are used to fund a variety of government initiatives, such as Social Security and Medicare as well as public infrastructure and services like roads and schools.

Does a tax on excise boost the supply?

        One of the six factors that determine supply is excise taxes. The supply curve is shifted to the left, reducing supply and raising the equilibrium price. As the vertical distance between the two curves approaches the tax amount, the supply curve will slant.

         In the near term, an excise tax raises the cost of the good, albeit not by the whole amount of the tax, and both the producers and the consumers bear the cost burden. The elasticity of supply and demand for the product determines the exact impact.

        A regulated tax on particular commodities or services, including alcohol, cigarettes, and gasoline, is known as an excise tax. Instead of being levied internationally across national borders, excise taxes are national taxes imposed within a government infrastructure.

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the annual income from an apartment complex is $20,857. the annual expense is estimated to be $2,034. the apartment complex could be sold for $113,851 at the end of 10 years. if your marr is 10%, how much should you pay for the apartment complex if you were to buy it now?

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If you were to purchase the apartment building right now and your limit was 10%, you would shell out $159,547.

A sum of money's present value is how much it is worth today. For instance, the present value is what $110 is presently worth if you are promised $110 in a year.

The total of taxes and operating expenses for any particular year is referred to as annual expenses.

Present Value = (Income - Expense)(P/A, 10%, 10) + Sale(P/F, 10%, 10)

= (20,857 - 2,034)(P/A, 10%, 10) + (113,851)(P/F, 10%, 10)

= 18823 × (6.1445) + 113,851 × (0.3855)

= 159547.484

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which of the following is a deduction for agi? a.child support payments. b.medical expenses. c.loss on the sale of a personal residence. d.contributions to a traditional individual retirement account.

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The option that would be the deduction for the AGI would be contributions to a traditional individual retirement account.

What is meant by AGI deductions?

This is the term that is used as the acronym that helps in the representation of what is the adjusted gross income. The AGI is the gross income that would be made minus the amount that is the adjustments that have to be made to income.

This has to do with the income of a person the retirement distributions that a person would have as well as the business income.

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which statement accurately depicts the current growth of the global capital market? multiple choice question. it is growing slowly. it continues to decline. it is growing quickly. it has stagnated in the past decade.

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The statement that is used to accurately depict the current growth rate of the global capital market is that  it is growing quickly.

What is the global capital market?

The global market can be described as the market where savings would have to meet with a lot of investments.

This is the market where the capital is the savings that is made by the private individuals. In this market, capital that is gotten is as a result of funds that would have tp come from hedge funds, pension and other forms of people that are seeking for interests.

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In Calc, what does the * symbol mean?
A.
Divide by
B.
Multiply by
C.
Subtract
D.
Calculate these numbers first

Answers

B. Multiplication it usually means multiplication if I am right

a broker has the buyer's earnest money deposit deposited in an escrow account. the amount of the deposit exceeds the amount of the broker's commission for the sale. the broker may remove his commission on this sale only: select one: a. when the buyer moves into the property. b. when the seller moves out of the property. c. when the closing is completed. d. whenever the seller says it is ok to do so

Answers

A broker has the buyer's earnest money deposit deposited in an escrow account. the amount of the deposit exceeds the amount of the broker's commission for the sale. the broker may remove his commission on this sale only when the closing is completed.

Commissions are a shape of variable-pay remuneration for offerings rendered or merchandise offered. Commissions are a commonplace way to encourage and reward salespeople. Commissions also can be designed to inspire specific income behaviors. For example, commissions may be decreased while granting big reductions. Or commissions can be increased while promoting certain merchandise the company desires to promote. Commissions are normally carried out inside the framework of income incentive software, which could include one or a couple of fee plans (each typically based totally on an aggregate of territory, role, or products). Payments have regularly calculated the usage of a percent of sales.

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surfshack corp. buys surfboards, wetsuits, and surf wax from rip to shreds, inc. for sale to consumers. what type of company is surfshack corp? multiple choice question. service business wholesale merchandiser retail merchandiser manufacturer

Answers

Buys surfboards, wetsuits, and surf wax from rip to shreds, inc. for sale to consumers. The type of company is surf shack corp is a retail merchandiser.

Merchandising is any practice that contributes to the sale of products to retail consumers. At the retail level, merchandising refers to the presentation of products that are sold in creative ways that induce customers to purchase more items or products.

Retail store clerks are responsible for ensuring that appropriate quantities of merchandise are available in stores and sold at appropriate prices. Clever planning, careful purchases, and smart advertising campaigns can increase your profits.

Merchandisers keep merchandise on retail shelves and present it appropriately to customers. They also track inventory levels, report problems and shortages to management, and clean up unwanted items for blatant violations of store decor.

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a client tells their lawyer that they don't intend to disclose their substantial cash income to the court and asks the lawyer not to divulge this information. the lawyer attempts to convince the client otherwise but finally agrees. this is an example of what type of lawyer-client relationship?

Answers

The type of lawyer client relationship based on the statement above is special relationship. It is because the client asks the lawyer not to divulge this information and the lawyer should keep it.

Lawyer can be defined as a person who practices law, as an advocate, attorney at law, barrister. Lawyer has a power to discipline based on their authority on the state and federal bar associations. The relationship between lawyer and their client is working relationship that lasts as long as a case is still being resolved. The relationship must be in accordance with applicable law and not harm the other party.

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What is the most important outcome of the Seven Years (French and Indian) War for the colonists?A) The Spanish will gain control of all of the territory west of the Mississippi B)The Native Americans will sign a peace treaty with a English C)England will lose a lot of money fighting the war, and as result start taxing the colonies D)British territory is expanded into former French territory. I have a bag, with some balls in it. All but four are blue, all but four are green, and all but four are red.In total, how many balls are there in the bag? A bus is travelling along straight road at 100km/hr and the bus conductor walks a 6km/hr on the floor of the bus and in the same direction as the bus. Find the speed of the conductor relative to the road and relative to the bus. If the bus conductor now walks at the same rate but in opposite direction as the bus, find his new speed relative to the road. Grandmas Guide to Cooking MeasurementsDried Seasonings 1 pinch = 2 smidgens1 dash = 2 pinches1 sprinkle = 3 pinches1 teaspoon = 8 dashesBased on Grandma's guide to cooking, how many smidgens are in one teaspoon?Do not include units with your answer. please give a VERY SHORT EXPLANATION NOT LONG! i inserted a picture of the question Which of the following size measures will form a right triangle Explain the importance of carbon in the large, complex structures of organic compounds. In your answer, describe at least four of carbon's properties. in order for you to be indifferent between the after tax returns on a corporate bond paying 8.5% and a tax-exempt municipal bond paying 6.12%, what would your tax bracket need to be? hi i'm stuck on diameter and radius and chord and the arc measure explanations. And i'm also stuck on this question how does it benefit retailers when customers order products online but pick them up in the store? multiple choice question. it requires fewer allocation systems. it reduces the need to offer coupons. it allows for lower inventory levels. it leads to additional sales. A car going at 80 mph comes to a complete stop in 6 seconds. Calculate the acceleration Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set.y 3x - 6y < -2x - 1LABEL ALL COORDINATESAnswer Paraphrase what Juliet says in lines 116-24. Even though I'm happy to be with _______, I have no joy of what's happening ______. It is too ______ and ________. It's like ___________, which stops existing as soon as you can ________ __________. Find the Factor Pairs (LOTS OF POINTS!) What is the slope of a line parallel to the line whose equation is 12x 15y = 315.Fully simplify your answer. Last week Forrest cut the grass exactly 3 times. It takes him between 55 and 75 minutes per cut.CWrite an inequality to model all of the possible amounts of time (t) Forrest could have spentcutting the lawn last week. Show or explain all your work. When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.How does the authors choice of the words dissolve and separation illustrate his point of view regarding the nature of this disunion? Look, Listen, and Identify: Identifying Music SamplesYou have learned about two aspects of music, pitch and rhythm. Pitches can go up, stay the same, or go down.Rhythms can be long or short. Match the online music samples to each of these notation samples.Begin by clapping the rhythms for each example while speaking the rhythmic names of the notes out loud. Foreighth notes, say "eighth-eighth," for quarter notes say "quarter," and for half notes say "half note." You may find ithelpful to say the words "tika-tika" where you see sixteenth notes. If you see a rest, say the name of the rest outloud, but remember, do not clap!After you have clapped the rhythms in all of the examples, carefully listen to each musical sample and match whatyou hear in the musical sample to what you see in the notation examples below. Make sure you are looking at therhythms and watching the shape of the melody as you are listening and working to identify each example. Please help. I don't really understand monomials and negative exponets Q3. A 3500 kg van hits a 2500 kg car with a force of 1480 N [E].a) What force does the van experience?