Option (a) 7x(2x + 5) is correct.
7x(2x + 5) is equivalent to 14[tex]x^{2}[/tex] +35x when it is completely factored.
What exactly is Factorization?A number or other mathematical object is factorized or factored in mathematics by writing it as the product of numerous factors, typically smaller or simpler things of the same kind.The four primary methods of factoring are the Grouping method, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF).Numerous issues could be resolved using the power of number factoring. Similar to this, factoring in algebra is an extremely useful tool that is utilized at all levels. In addition to providing a standard way for simplifying complex expressions, it also offers a solution to quadratic equations.= 7x(2x + 5)
= a(b + c) = ab + ac
a = 7x , b = 2x, c = 5
= 7x * 2x + 7x * 5
= 14[tex]x^{2}[/tex] +35x
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palmona company establishes a $180 petty cash fund on january 1. on january 8, the fund shows $75 in cash along with receipts for the following expenditures: postage, $44; transportation-in, $13; delivery expenses, $15; and miscellaneous expenses, $33. palmona uses the perpetual system in accounting for merchandise inventory.
The petty cash fund of $180 will be established on January 1.Journal entry for establishing the petty cash fund on January 1: Petty Cash a/c Dr $180.
To Cah a/c $180 Preparing journal entries to reimburse funds on January 8 Postage a/c Dr. ($44) Transportation a/c Dr ($13) Delivery expense a/c Dr ($15)miscellaneous a/c Dr ($33) To Cash a/c Cr ($105)The balance of $75 will be reimbursed to the petty cash account/fund.
Normally organization make a petty cash fund to manage day to day small charges like stationery, coffee and tea for guests etc. Since these expenses are so small, so managing them becomes really very difficult for the organization as well as hectic, that is why a small fund is created to take care of these expenses.
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The question was incomplete. Check below the full question.
palmona company establishes a $180 petty cash fund on january 1. on january 8, the fund shows $75 in cash along with receipts for the following expenditures: postage, $44; transportation-in, $13; delivery expenses, $15; and miscellaneous expenses, $33. palmona uses the perpetual system in accounting for merchandise inventory.
Prepare journal entry to establish the fund on January 1, reimburse it on January 8, and reimburse the fund and increase it to $330 on January 8, assuming no entry in part 2.(Hint: Make two separate entries for part 3.)
business universal corporation, a u.s. firm, establishes a wholly owned subsidiary firm in brazil. in this situation, business universal retains complete control and authority over
business universal corporation, a U.S. firm, establishes a wholly owned subsidiary firm in Brazil. In this situation, business universal retains complete control and authority over all the operation.
A parent company and subsidiary relationship exists when one business controls another. When a business buys a large portion of the voting stock in another business, it typically creates a parent company. A parent company is typically a big business that controls a smaller business.The subsidiary business may operate in the same sector as the parent business or one that is closely related to it. A parent business may be the owner of numerous tiny subsidiaries.
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the academy for academic excellence has just announced their winner for the most successful student in mathematics. this student will receive a grant for their college education as well as national recognition for academic excellence in the field of mathematics. the grant will cover $12,177.17 of the cost of school per year for 5 years. if the initial amount is invested into an account over the five years, paying an annual interest rate of 5.5%, and you are to withdraw from this account until the remaining balance after the 5 years is zero dollars, determine the initial amount of the grant. round your answer to the nearest dollar.
The correct answer to the question is $52000. The annual withdrawal amount is $12,177.17. To determine the grant's initial amount, the Annuity's PV.
It has to be calculated:
Now, r = 1.055 and a = 12177.17.
Let x(0) equal the starting sum.
The amount increases to rx(0) after a year, then decreases to rx(0) - a. The sum after a year is therefore x(1) = rx(0) - a.
Annual withdrawal (A) = $12,177.17
r = 5.5%
n = 5 years
PV of Annuity= PMT * [1 - [(1 / 1+r)]/r],
Where P stands for present value,
PMT stands for the sum of each payment.
r = Interest or discount rate.
Now, PV of Annuity= 12177.17*[1-(1/1+0.55)]/5.5%]
=$52000 (approx)
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large chain resellers may have a highly formalized blank called a buying committee to make purchasing decisions, while most industrial firms and government units use informal groups.
Answer:
second option nubby icy icy Ohno use
assuming a country's economy maintains an 8% rate of growth, young adults starting at age 20 would see the average standard of living in their country more than double by the time they had reached age . group of answer choices 30 40 50 60
If the rate of growth is 8%, young adults starting at age 20 will see the average standard of living in their country more than double by the time they reach age 30, and grow nearly sevenfold by the time they reach age 45.
The answer is option A) 30.
Calculating the actual monetary growth rate
Actual GDP = GDP / (1 + inflation for the reason that base year)Real GDP growth price = (maximum latest 12 months' actual GDP - the ultimate yr's real GDP) / the previous 12 months's real GDP.Actual GDP = (Nominal GDP / GDP Deflator) *a hundred.The typically popular degree of the usual of living is GDP consistent with per capita. 2 this is a country's gross domestic product divided by its populace. The GDP is the overall output of goods and services produced in a yr by anyone inside the country of a's borders.
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what will be the free-market price and quantity, and what will be the price and quantity if the government requires suppliers to pay a $100 tax for each ton of coal produced?
The free-market price and quantity supplied will increases, if the government requires suppliers to pay a$100 tax for each ton of coal produced.
What is the use of supply analysis?Supply market analysis is a method for identifying market traits for certain products or services. In the context of making important procurement plans, it offers information that is essential for creating effective procurement strategies.Markets for finished goods and services as well as those for labor, capital, and other production elements can both benefit from applying supply-and-demand research. It can be utilized at the level of the business, the industry, or the overall economy. Price Variations Price changes have a significant impact on supply and demand. Credit and Income. Changes in credit availability and income levels can have a significant impact on supply and demand. Trends, commercial advertising, availability of substitutes or competition, and seasons are the factors affect demand and supplyTo more learn about supply analysis refers to:
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The Equal Pay Act of 1963
a. mandates a minimum wage and accurate record keeping for hours worked
b. protects employees against gender-based wage discrimination
c. provides monetary damages in cases of intentional employee discrimination
d. requires higher salaries for veterans and their family members
Answer:
B
Explanation:
they had major discrimination to females at that time
Answer:
the answer is choice B.
Explanation:
(Table) Based on the table, assume that a bottle of water costs $2. The marginal utility per dollar for the third bottle of water is
The marginal utility per $1 is $20 for the third water bottle because He will be less satisfied with a subsequent bottle of water because the marginal utility declines after the first one.
What is the process of marginal utility?The additional pleasure a consumer experiences from owning one more unit of an item or service is referred to as its "marginal utility." Economists employ the idea of marginal utility to forecast the quantity of a good that buyers would buy. Progressive taxation can frequently be justified by applying the declining marginal benefit criterion.
How is marginal utility calculated?Marginal utility is typically defined in economics as total utility change divided by change in the quantity of products. This is how the equation looks: Marginal utility is equal to the difference between the total utility and the difference between the commodities.
In the above ques:
He will be less satisfied with a subsequent bottle of water because the marginal utility declines after the first one.
Marginal utility = third bottle's total utility - second bottle's total utility
marginal utility= 90-70
Marginal Utility= 20
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how does jonah define a bottleneck? group of answer choices the stage of a process that causes the entire process to slow down or stop completely. any point of congestion or blockage in a process. any resource whose capacity is equal to or less than the demand placed on it. the plant resource which produces the most unnecessary inventory. the slowest workstation in the plant.
The definition that has been given by Jonah in the context of a bottleneck is that it is the stage of a process that causes the entire process to slow down or stop completely. Hence, Option A is correct.
What is a bottleneck?An assembly line or computer network bottleneck is a location of congestion that causes a manufacturing system to halt or move very slowly.
A "bottleneck" in an operation is a work stage that, even while operating at maximum throughput, is unable to achieve the production quota, causing the flow of activities to be slowed down or stopped.
Therefore, Option A is correct.
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when toyota purchases information about quality and customer satisfaction research from j. d. power and associates, it is acquiring a form of multiple choice
'when Toyota purchases information about quality and customer satisfaction research from j. d. power and associates, it is acquiring a form of tertiary data.
A tertiary data source is an index or textual integration of previously published primary and secondary sources that does not provide additional interpretation or analysis of the source. These are sources that index, summarize, organize, assemble, or process other sources. Some reference materials and textbooks are considered tertiary sources if their primary purpose is to enumerate, summarize, or simply repackage ideas or other information. Tertiary data sources are not usually assigned to a specific author.
Tertiary data sources combine information from primary and secondary sources. A third source is a good way to get a quick overview of a particular topic. Most textbooks are tertiary sources. The following are examples of tertiary sources available through the library: CountryWatch.
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Corrie bought a new flat screen 70 inch television and a speaker system from a local electronics store on credit. The store will charge 12% per year compounded monthly. Their monthly payments are $174. 80 for 3 years. What is the cash price of her purchase?.
The cash price of her purchase is $5262.79
Present value=C*[1 - (1+i)^(-n)]/i
C=amount of payment per period
i=interest rate
n=number of payments
In this problem,
C=$174.80
i = 12% per year compounded monthly
= 12/(12*100)
= 0.01
n = 3*12 = 36 months
= Present Value = 174.80*[1 - (1+0.01)^(-36)]/0.01
Cash price = $5262.79
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Certain pieces of antique furniture increased very rapidly in price in the 1970s and 1980s. For example, the value of a particular rocking chair is well approximated by.
The price is discovered to be rising at a rate of 65% per year when compared to a conventional exponential function.
Modeling a rising exponential function looks like this:
[tex]V(t)=V(0)(1+r)^{t}[/tex]
where V(0) is the starting point.
The growth rate, expressed as a decimal, is r.
The formula in this issue is:
[tex]V(t)=150(1.65)^{t}[/tex]
We have that Comparing to the conventional equation
1+r=1.65
r=0.65
Thus:
The price is rising at a 65% annual rate.
Exponential growth and decay are the two different kinds of exponential functions. When b > 1, the function f (x) = bx represents exponential development. If 0 b 1, then the function f (x) = bx depicts exponential decay.
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suppose you purchase a 7-year, 6% semi-annual coupon bond for 91.136. if the yield remains constant and you reinvest the coupons you receive at that yield, what will be the value of those coupons when the bond matures in 7 years?
54.24 will be the value of those coupons when the bond matures in 7 years.
When a bond matures, what does it mean?
The term to maturity of a bond is the time period in which the owner will receive interest payments on the investment. When the bond matures, the owner receives its par, or face, value back. The term to maturity of a bond may fluctuate if it has a put or call option.
Par value of Bond =100
Price =91.136
Semi annual Coupon =Par Value[tex]\times[/tex]Coupon/2 =100[tex]\times[/tex]6%/2=3
Number of Periods =7[tex]\times[/tex]2 =14
Semi annual Rate using financial Calculator
N=14;PMT=3;PV=-91.136;FV=100;CPT I/Y =3.8297%
Value of coupons when it matures in year 7 =Coupons[tex]\times[/tex]((1+r)[tex]^n-1[/tex])/r) =3[tex]\times[/tex]((1+3.8297%)[tex]^14-1[/tex])/3.8297%) =54.24
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at the beginning of the year, long-term debt of a firm is $310 and total debt is $340. at the end of the year, long-term debt is $270 and total debt is $350. the interest paid is $36. what is the amount of the cash flow to creditors?
If at the beginning of the year, long-term debt of a firm is $310 and total debt is $340. at the end of the year, long-term debt is $270 and total debt is $350. the interest paid is $36. the amount of the cash flow to creditors is $76.
Cashflow to creditorsFirst step is to find the Net new borrowing using this formula
Net new borrowing = Ending Long-term debt - Beginning Long-term debt
Let plug in the formula
Net new borrowing = $270 - $310
Net new borrowing= ($40)
Second step is to calculate the cash flow to creditors using this formula
Cash flow to creditors = Interest paid - Net new borrowing
Let plug in the formula
Cash flow to creditors = $36 - ($40)
Cash flow to creditors = $ 76
Therefore we can conclude that the Cash flow to creditors is the amount of $76.
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Suppose that you were running an engineering company. You want to assign employees to particular engineering projects, but you also want someone who knows about their functional area to supervise them. What kind of work structure would you choose?.
Looking at the information in the question, the type of work structure you would choose would be the divisional structure.
What is divisional structure?It corresponds to a work structure where workers are integrated into teams based on their expertise, who work for a specific project, so that together they achieve the objectives and goals proposed by the organization.
Therefore, in a divisional structure, work is carried out in separate and independent divisions, where there is supervision for each division so that the work is carried out as planned.
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Question 9 of 20:
Select the best answer for the question.
9. A
is a study of the tasks required to do a particular job well.
O A. task delineation
O B. job analysis
O C. job survey
OD. job forecast
A study of the tasks required to do a job well is called job analysis. A job analysis can assist a business in updating crucial procedures and data, such as pay information depending on duties.
What is meant by job analysis?Job analysis exists the technique of acquiring and examining data regarding the subject matter, human requirements, and environment in which a job exists performed. This method is used to decide where to position employees.
Job analysis exists a series of processes utilized to pinpoint the actions that create up a job's content as well as the skills or prerequisites required to carry them out.
A job analysis can assist a business in updating crucial procedures and data, such as pay information depending on duties. The responsibilities of each position reporting to management can be better understood with the use of a job analysis.
Therefore, the correct answer is option B. job analysis.
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i want my employees to have very narrow job responsibilities. i’ll hire more people with specific experience next year, and each person will form the basis for future departments in my company.
In desiring employees with more restricted and departmentalized job responsibilities, the employer should hire employees with specific experience and limited job responsibilities.
Analyzing the information regarding the issue, it is correct to say that this approach is related to the centralized organizational structure.
What is a centralized organizational structure?
It corresponds to the systematization of resources and departments in a more inflexible and centralized way, with the high hierarchy as decision-making and organizational control, that is, a centralized organization is highly hierarchical, with employees performing specific and pre-defined functions, with departments formed by specialization from work.
Therefore, a centralized organization can allow greater control, but be more demotivating for creativity, innovation and autonomy, as it is a more rigid and hierarchical work structure.
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an individual has $25,000 to invest: $16,000 will be put into a low-risk mutual fund averaging 6.7% interest compounded monthly, and the remainder will be invested in a high-yield bound fund averaging 9.1% interest compounded continuously. (a) write an equation for the total amount, a, in the two investments after t years.
The total value of the investment is [$16,000 x (1.00558)^12t] + [9000t e^0.091].
What is the total value of the investment?The total amount of the investment after t years is the sum of the total value of the amount invested in the low-risk mutual fund and the amount invested in the high-yield bound fund.
FV = P (1 + r)^nm
Where:
FV = Future value P = Present value R = interest rate : 6.7 / 12 = 0.558%m = number of compoundingN = number of years$16,000 x (1.00558)^12t
The formula for calculating future value when there is continuous compounding is : A x e^r x N
Where:
A= amount invested = $25,000 - $16,000 = $9,000e = 2.7182818 N = number of years r = interest rate9,000 x e^0.091 x t
9000t e^0.091
Total value of the investment = [$16,000 x (1.00558)^12t] + [9000t e^0.091]
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determine whether each expression describes total utility, marginal utility, or neither. a. the amount of satisfaction that a consumer gets from consuming a bundle of goods and services. total utility marginal utility neither b. what economists assume rational consumers seek to maximize. total utility marginal utility neither c. the change in utility from consuming one additional unit of a good. total utility marginal utility neither
The expression describes total utility, and marginal utility is the amount of satisfaction that a consumer gets from consuming a bundle of goods and services.
In economics, marginal utility is the satisfaction or benefit obtained from consuming a product. The marginal utility of a good or service expresses the pleasure or satisfaction a consumer obtains by increasing or decreasing his consumption by one unit. There are three types of marginal utility.
The law of diminishing marginal utility states that the marginal utility of additional units of consumption decreases as the quantity of goods consumed increases. Consumers choose a shopping cart by equating the marginal utility of a good with its price. The price equals the marginal cost of consumption.
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on january 1, year 2, kincaid company's accounts receivable and the allowance for doubtful accounts carried balances of $31,000 and $500, respectively. during the year kincaid reported $72,500 of credit sales. kincaid wrote off $550 of receivables as uncollectible in year 2. cash collections of receivables amounted to $74,550. kincaid estimates that it will be unable to collect one percent (1%) of credit sales.
NRV of accounts Receivable = $27,725
Accounts Receivable Balance on Jan-1 Year 2 = $31,000
(+) Credit Sales = $72,500
(-) Cash Collections = $-74,550
(-) Written off Unollectible = $-550
Accounts Receivables Gross AT end of Year 2 = $28,400
Allowance for Doubtful debts Balance on Jan 1 year 2 = $500
(-) Written off Uncollectible = $-550
(+) Allowance required for credit sales for the period 1% = $725 (72500*1%)
Allowance for Doubtful debts Balance at end of year 2 = $675
NRV of accounts Receivable = $27,725 (28400-675).
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Which scenario demonstrates a wise use of credit cards?
Spencer chooses a credit card with a low-interest rate and low credit limit. He pays off the total charges each month and this demonstrates a wise use of credit cards.
What is a credit card?A credit card is a payment card issued to users or cardholders to enable the cardholder to pay a merchant for goods and services based on the cardholder's accrued debt, that is, a promise to the card issuer to pay them for the amounts plus the other agreed charges.
The card issuer, which is usually a bank or credit union, creates a revolving account and grants a line of credit to the cardholder, from which the cardholder can borrow money for payment to a merchant or as a cash advance. There are two credit card groups, they are consumer credit cards and business credit cards. Most cards are plastic, but some are metal cards, stainless steel, gold, palladium, titanium and a few gemstone-encrusted metal cards.
In total, there are four types of credit cards.
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clara owns a small gift shop. she wants to make sure she has enough goods for the surge in sales that the holiday season usually brings to her retail store. here, clara is using to be sure she has enough gifts for those extra customers that she hopes will bear the economic woes and shop for holiday presents. substitutes panicking complements buffering teamwork
Answer:true
Explanation:
its good to come prepared
What percentage of the world's intake of
calories is derived from plants?
A. 88%
B. 74%
C. 62%
D. 48%
Answer:
A
Explanation:
Just 15 crop plants provide 90 percent of the world's food energy intake, with three rice, maize and wheat - making up two-thirds of this.
Source: https://www.fao.org/3/u8480e/u8480e07.htm
Pinnacle corp. Is going through the new product development process and is selecting ideas with the greatest potential for development for further review. Pinnacle is in which phase of the new product development process?.
Pinnacle is in the phase of the new product development process known as idea screening stage as it is selecting ideas with the greatest potential for development for further review.
What is a new product development?In marketing, a new product development refers to the process of bringing a new product to market, renewing an existing product or introducing a product in a new market. The central aspect of the new product development is product design with other various business considerations.
In marketing, the 7 stages of new product development are classified into:
Idea Generation.Idea Screening.Concept Development & Testing.Market Strategy/Business Analysis.Product Development.Deployment.Market Entry/Commercialization.Read more about New product development
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derek can deposit $11,000 on each birthday beginning with his 26th and ending with his 65th. what will the rate on the retirement account need to be for him to have $3,000,000 in it when he retires on his 65th birthday?
The yield to maturity is 8.5161% will the rate on the retirement account need to be for him to have $3,000,000 in it when he retires on his 65th birthday.
Future value= $3,000,000
Annual deposit = $11,000
Time= 65 years - 26 years = 39 years
The question is solved by computing the yield to maturity.
The yield to maturity is calculated by entering the below in a financial calculator:
FV= 3,000,000
N= 39
PMT= -11,000
CPT key and I/Y to compute the yield to maturity
The value obtained is 8.5161.
Therefore, the yield to maturity is 8.5161%
What is the annual deposit?Annual Deposit implies the sum of $38,000 per year to be kept into the Replacement Save Finance by this Agreement; given, in any case, that the sum of the Annual Deposit might be reduced to the degree it would otherwise cause the adjustment of the Replacement Save Support at the time of store too. annual interest can be calculated by dividing the annual interest rate on the CD by 100 to convert it to a decimal.To learn more about an annual deposit, refer;
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If a bank has $100,000 of checkable deposits, a required reserve ratio of 20 percent, and it holds $40,000 in reserves, then the maximum deposit outflow it can sustain without altering its balance sheet is?.
The maximum deposit outflow the bank can sustain without altering its balance sheet is equal to $25,000.
The required reserve ratio (rr) can be converted from a percentage into a decimal value as follows;
rr = 20% = 20/100 = 0.2
If the bank has $100,000 of checkable deposits and holds $40,000 in reserves, then the amount of current loans can be calculated as follows;
amount of current loans = $100,000 - $40,000 = $60,000
Loans made by the bank are said to be a percentage of deposits loaned out after saving the necessary or required reserves. Therefore;
(1 - rr) × D = $60,000
(1 - 0.2) × D = $60,000
0.8 D = $60,000
D = $60,000/0.8
D = $75,000
Reserves out of deposit (D) = 20% of $75000;
(20/100) × 75,000 = 0.2 × 75,000 = $15,000
Now the maximum deposit outflow can be calculated as follows;
$40,000 - $15000 = $25,000
Therefore, the maximum deposit outflow without altering the balance sheet is calculated to be $25,000.
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the fraud triangle contains three elements that must exist for accounting fraud to occur. the elements are: a. motive, opportunity, and means. b. greed, larceny, and access. c. fear, greed, and satisfaction. d. incentive, opportunity, and rationalization.
The fraud triangle contains three elements that must exist for accounting fraud to occur, the elements are: D. incentive, opportunity, and rationalization.
What is a skimming fraud?A skimming fraud can be defined as a type of fraud that involves a criminal (thief) illegally capturing the credit card information of a cardholder without the holder's knowledge, so as to perform unauthorized transactions with it in the future.
Under the fraud triangle, there are three (3) main elements that helps any accounting fraud to occur and these include the following:
IncentiveOpportunityRationalization.In this context, we can reasonably infer and logically deduce that incentive, opportunity, and rationalization are the three (3) main elements of the fraud triangle paradigm.
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Allie has noticed that people at her company spend a lot of time researching the reasons for and correcting errors in the data they must use for their job functions. Usually when a mistake is discovered, it has already been propagated into multiple places, requiring a considerable clean-up effort. Allie realizes that improving the quality of the data at her firm would change this situation by _____.
As mistake has already been propagated into multiple places which requires a considerable clean-up effort upon discovery, she had realizes that improving the quality of the data at her firm would change this situation raising productivity.
What is a productivity?Basically, a productivity refers to an efficiency of production of goods or services expressed by some measure. Its measurement is are often expressed as a ratio of an aggregate output to a single input or an aggregate input used in a production process.
A raised productivity is best related to a productivity improvement, which means getting more done & more output with the same amount of input. At best, the best improvements of outputs can allow your business to increase productivity while decreasing cost.
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sonronmedia sells books by having salespeople set up appointments with potential customers and give them a sales pitch for the product. when a salesperson sells a book, he or she gets a predetermined percentage commission. this type of business model is called
When a salesperson sells a book, he or she then gets a predetermined percentage commission. So, this type of business model is called an agency.
An agency is considered to be a business, firm, or an organization which tends to provides a specific service. Thus, it is seen that often, but not always, agencies work on the behalf of another group, person, or a specific business.
So, as sonronmedia who sells books by having salesperson set up appointments with their potential customers and give them a sales pitch for the product.
Thus, this type of business model can be considered as an agency.
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the white star employee who was on board the olympic when it collided with the hawke and almost sank, then not even a year later was working on the titanic
Violet Jessop was very fortunate to have escaped the sinking of the Olympic as well as the Titanic and Britannic.
Jessop, an Irish immigrant who was born in Argentina in 1887, was diagnosed with tuberculosis at an early age and was only supposed to live for a few months. Jessop's mother relocated the family to England after her father passed away, where she started a job as a ship's stewardess. Violet, who was a student at a convent school, took over as a ship stewardess when she fell unwell.
Violet, who is only 21 years old, had trouble landing a job as a stewardess because potential employers were concerned that her attractiveness and youth would "create difficulties" with the staff and passengers. (In actuality, during the course of her career, she did get at least three proposals, one from a wealthy first-class traveler.)
After a brief spell on the Royal Mail Line steamer Orinoco, Violet made the decision to dress dowdily and go without makeup. As a result, in 1908, the White Star Line hired her to work on the Majestic.
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