The transition from an expansion to the beginning of a contraction in the business cycle is known as a peak.
In a business cycle, a peak is the highest point in between the end of an economic expansion and the beginning of a contraction. The final month of the cycle is referred to as the peak, and it is the month before several important economic indicators, like employment and new housing starts, begin to decline.
What is the business cycle's highest point?A top in the business cycle happens when financial action arrives at its most elevated point and starts to dial back or turn down. When economic activity begins to decline or economic growth becomes negative, the contraction phase begins.
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assurance services differ from consulting services because group of answer choices assurance services focus on improving information and generally do not involve situations in which one party wants to monitor another. assurance services usually involve situations in which one party wants to monitor another and focus on improving information. assurance services focus on providing advice and involve two-party arrangements. assurance services focus on providing advice and usually involve situations in which one party wants to monitor another.
As assurance services frequently entail scenarios where one party wants to monitor another and concentrate on improving information, they differ from consulting services.
Consulting services are not included in assurance services. Because they are both provided utilizing a similar set of knowledge and abilities, assurance and consulting services frequently overlap. The difference between assurance and advisory services and consulting services is that the former concentrate on information improvement while the latter aim to offer counsel.
Additionally, as opposed to the typical two-party agreements in consulting engagements, assurance and advisory services frequently involve monitoring of one party by another (typically within the same organization).
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State the reasons/reason for backward bending supply curve
It slopes from left to right. However, in labour markets, we can often witness a backward bending supply curve. This means after a certain point, higher wages can lead to a decline in labour supply. This occurs when higher wages encourage workers to work less and enjoy more leisure time.
Explanation:However, the backwards-bending labour supply curve occurs when an even higher wage actually entices people to work less and consume more leisure or unpaid time. However, in labour markets, we can often witness a backward bending supply curve. This means after a certain point, higher wages can lead to a decline in labour supply. This occurs when higher wages encourage workers to work less and enjoy more leisure time.
atlantis fisheries issues zero coupon bonds on the market at a price of $406 per bond. these are callable in 8 years at a call price of $650. using semiannual compounding, what is the yield to call for these bonds
2.34% Yield to call is the rate that would make the issue price equal to the call price in future.
It is therefore the rate that would compound the $408 to $650 in 8 years.
Semiannual compounding means that the interest rate and the number of periods need to be adjusted:
Number of periods = 8 * 2 = 16 semi annual periods
Interest = x / 2 = 0.5x
Call price = Issue price * ( 1 + rate) ^ number of periods
650 = 406 * (1 + 0.5x)¹⁶
(1 + 0.5x)¹⁶ = 650 / 406
0.5x = ¹⁶√ (650/406) - 1
x = 19.24480 / 0.5
x=38.4896
x = 2.34%
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you analyze a firm's financial statements and invest based upon the results of this analysis. which form of market efficiency may exist if you are able to earn abnormal profits on these investments?
One of the primary justifications why some investors might opt for a passive investing strategy is the Efficient Market Hypothesis (EMH).
What Is Efficient Market Hypothesis?The Efficient Market Hypothesis (EMH) fundamentally asserts that the prices of investment securities, such as stocks, already take into account all available information regarding those securities. If so, no amount of study will be able to give you the upper hand over "the market."Investors need not be logical; according to EMH, each investor will behave arbitrarily. However, the market is always "correct" overall. Simple logic dictates that "efficient" implies "normal."For instance, a strange response to a strange piece of information is typical. It's normal for you to follow the herd if they suddenly begin moving in that direction, even if there isn't a good reason to.To Learn more About Efficient Market Hypothesis refer to :
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How many of the following costs related to a refrigerator would be considered a capital expenditure? replace broken shelf install new water filter replace power cord replace door seals.
If the refrigerator is being used for personal use, then the costs of replacing the shelf, installing the new water filter, and replacing the power cord would be considered capital expenditures.
However, if the refrigerator is being used for business purposes, then the cost of replacing the door seals would be considered a capital expenditure.Installing a new water filter and replacing the power cord would be considered capital expenditures, as they are improvements made to the refrigerator that will increase its lifespan. Replacing a broken shelf and door seals would be considered maintenance costs, as they are necessary repairs that keep the fridge functioning properly.
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what is the practice of giving a great deal of authority and decision-making freedom to lower-level managers.
Giving lower-level managers a lot of freedom in decision-making and authority is known as decentralization.
Diffusion of authority is a sign of decentralization.Decentralization is the transfer of decision-making authority to lower management levels.The fundamental stage of delegation is decentralization of authority, and the degree to which authority is not delegated is called centralization.
If decision-making is decentralized, what does that imply?
Any method in which a larger group is given decision-making authority is called decentralized decision-making.Additionally, it suggests that employees, executives, and functionaries at lower levels are given more authority.
A type of organizational structure known as decentralization is one in which upper management delegate authority to middle and lower management levels in an organization.
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when a perpetual system is used and transportation cost is incurred to obtain inventory, the transportation cost is: a. added to inventory. b. deducted from the cost of goods sold when determining gross profit. c. reported as a contra-account that is subtracted from sales revenue when determining net sales. d. reported as selling, general
When a perpetual system is used and transportation costs are incurred to obtain inventory, the transportation costs are added to inventory.
Transportation (in British English) or transportation (in American English) is the movement of people, animals, and products from one location to another. Air, land (train and road), water, cable, pipeline, and space travel are all modes of transportation. The field is separated into infrastructure, vehicles, and operations. Transport facilitates human trade, which is critical for the advancement of civilizations.
Transport infrastructure includes both fixed installations such as roads, trains, airways, waterways, canals, and pipelines and terminals such as airports, railway stations, bus stations, warehouses, trucking terminals, refueling depots, and seaports. Terminals can be used for both passenger and cargo interchange and maintenance. Transport means any of the several modes of transportation used to transport people or freight.
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when the interest rate parity equation does not hold and it is possible to earn profits without exchange-rate risk, there is said to be a(n) interest arbitrage opportunity.
The interest rate parity equation does not hold, and it is possible to earn profits without exchange-rate risk, there is said to be a(n) interest arbitrage opportunity covered.
If the hobby fee parity courting does now no longer maintain true, then you may make a secure profit. The scenario wherein IRP does now no longer maintain might permit for the usage of an arbitrage strategy.First, there can be variations in default danger and liquidity. Second, there are transactions fees which might also additionally save you returns from being precisely equal. Third, it does now no longer recollect exchange-fee danger.
The motives why hobby fee parity does not usually maintain are just like a number of the motives why shopping electricity parity does not usually maintain: economic belongings aren't equal in distinctive countries (a few investments are riskier than others and a danger top rate ought to be paid), there are authorities controls on.
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Your organization’s network has multiple layers of security devices. When you attempt to connect to a service on the internet. However, you receive a security message from the operating system stating that this service is blocked on your workstation. What could be the probable cause?.
A security message from the operating system stating that this service is blocked on your workstation results due to the probable cause of the host-based firewall settings are blocking the service.
A firewall is security software that functions primarily to stop any unauthorized access to a service. The host of a company might use a firewall in order to block those services that can be a threat to the company or that might be blocked for maintaining privacy.
An organization that has many computers in the work setup tends to use a firewall for blocking any service that is a threat to the company. If a firewall is not used, then there is a security risk.
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which of the following statements is (are) true? i. if the firm is producing 5 units of output, it should expand output to increase profits because p > mc. ii. at a price of $16, the firm's profits would rise if it raised its price. iii. the profit-maximizing quantity is 600 units. iv. the profit-maximizing price is $13.
The profit-maximizing pricing in this case is $13, taking into account that the company is producing 5 units and that it must expand because the price is higher than the marginal cost.
What do you mean by marginal cost, exactly?The difference in total production costs caused by creating or producing an extra unit is known as the marginal cost in economics. Divide the variation in production costs by the variation in quantity to determine marginal cost.
What are marginal cost and profit?Marginal cost refers to the additional cost or profit incurred when producing the next item. Marginal product is the additional revenue generated, whereas marginal cost is the additional cost incurred for manufacturing one extra unit.
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A solution to the adverse selection problem can be:
a. Reputation mechanisms.
b. The creation of a market.
c. Building a fence.
d. Free riding.
Reputation mechanisms is a solution to the adverse selection problem.
Therefore Option A is correct.
What is Adverse selection problem and reputation mechanism?
Adverse selection refers generally to a situation where sellers have information that buyers do not have, or vice versa, about some aspect of product quality.
Effects of Adverse Selection
Higher Prices for Customers. Lower Consumption.Health Risk.Reputation mechanism
It is a mechanism used in P2P systems to associate the identities of peers with the opinions of other peers about the contribution of the former, and to acquaint the participating peers with this association.
Hence, Option A is correct.
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which best describes the current state of the study of leadership? a leadership is a frontier area of thought in which researchers do not agree on the same terminology and concepts. b leadership theories are all surprisingly very similar, covering practically identical concepts. c most researchers agree on the core tenants and principles of leadership. d most leadership research has been conducted by practitioners in the field, not professors or scientists. e leadership is not a very complex topic and is easy for anyone to adopt and practice.
Leadership research is currently at a crossroads, with experts differing on language and concepts. As a result, the correct choice is (a) leadership is a frontier field of study in which academics do not agree on language and concepts.
What is leadership research?Research leadership is defined as the influence of one or more people on the research-related behavior, attitudes, or intellectual capacities of others. Leadership studies is an interdisciplinary academic field that focuses on leadership in business and in everyday life. Leadership studies have their origins in the social sciences, and humanities (such as history and philosophy), as well as professional and practical fields of study (e.g., management and education). Leadership and organizational studies are integrally linked disciplines.
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a company that manufactures brakes for cars has just released a line of all-terrain vehicles. using the same research and findings from the development of the atv brakes, the manufacturer is redesigning its car brakes. by sharing the research across the business units for both vehicles, the company is increasing company profitability through:
The manufacturer is redesigning its car brakes. by sharing the research across the business units for both vehicles, the company is increasing company profitability through economies of scope.
A manufacturer is a person or business that creates finished products from raw materials using a variety of tools, equipment, and processes, and then sells the products to consumers, wholesalers, distributors, retailers, or other manufacturers for the creation of more complicated products. The brakes that stop your car while you're driving come in two varieties: disc brakes and drum brakes. Anti-lock brakes and emergency brakes are also standard equipment in almost all vehicles. The sound of "metal on metal" (squeaking or screeching) is typically an immediate indication that your brakes need to be checked. When you apply the brakes, brake pads press either against the brake rotor or the brake drum to slow down and stop your car.
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between 1979 and 1980, the short-run aggregate supply curve shifted: please choose the correct answer from the following choices, and then select the submit answer button. answer choices left, due to the falling price of oil. right, due to the rising price of oil. right, due to the falling price of oil. left, due to the rising price of oil.
Between 1979 and 1980, the short-run aggregate supply curve shifted left, due to the rising price of oil.
The idea of the short run states that, for a specific period in the future, at least one input will be fixed while the others will be variable. It conveys the notion that an economy behaves differently depending on how long it has to respond to certain stimuli. In economics, the phrase "short run" is frequently used.
The relationship between a product's price and the quantity of that product that a seller is willing and able to supply is graphically represented by the supply curve in economics. The graph's horizontal axis represents supply quantity, and the vertical axis represents product price. The supply curve is a diagram that shows how the price of a good or service and the volume supplied during a specific time period are correlated.
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paul borrowed $380 to be repaid in one year. he paid 10 percent interest and a service charge of $21. what is his finance charge?
Paul borrowed $380 with a one-year repayment period. He paid $21 in service fees and 10% interest. He has a $59 finance charge.
How do finance charges work?A finance charge is the total interest and loan fees you would be required to pay throughout the course of your mortgage loan. This includes all pre-paid loan fees and is based on the premise that you hold the loan for the entire period until it matures (at which point the last payment is due).
These finance costs include things like annual credit card fees, account maintenance charges, late payment fees for loans and credit cards, and transaction charges for accounts.
Why are loan fees so expensive?In finance, you may typically expect a better potential reward if you take on more risk. Credit cards pose a significant risk to banks and other card issuers since many users make late or non-payments. As a result, issuers impose hefty interest rates to offset that risk.
amount to pay= amount borrowed x interest
amount to pay= $380 X 0.1= $38
finance charge= amount to pay + service charge
finance charge= $38 + $21= $59
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nestor is considered to be tech savvy by his friends. he is unafraid to take risks when it comes to trying new products and is always the first in his group to get the latest gizmo. what type of product adopter is nestor?
Nestor is considered to be tech savvy. He is unafraid to take risks when it comes to trying new products and is always the first in his group to get the latest gizmo. Nestor is a innovator type of product adopter.
To be tech savvy is to be comfortable and familiar with using technology. This can mean different things for different people, but generally it means being able to use technology for tasks such as communication, research, problem solving, and entertainment.
For some people, being tech savvy also means having some level of understanding of how technology works and being able to take risk when issues may arise.
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in a market, the reduction in total utility that is created when the amount of trade is reduced by some legal or artificial interference with equilibrium is called
The term "deadweight loss" refers to the decrease in overall utility that results in a market when trade volume is lowered due to a natural or artificial interference with equilibrium. The reduction in economic efficiency brought on by artificial interference, such as price ceilings and floors, is known as deadweight loss.
Deadweight loss, a term mostly used in economics, refers to any deficit brought on by an ineffective resource allocation. Deadweight losses may result from price floors, and living wage regulations, price ceilings like price controls and rent restrictions, and taxation. As a result, total utility decreases.
The tax discourages these types of profitable market transactions, which results in the deadweight loss. The size of the deadweight loss caused by a tax is determined by the price elasticity of supply and demand.
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which procedure is an auditor most likely to use to detect a check outstanding at year-end that was not recorded as outstanding on the year-end bank reconciliation
Utilizing the client's cash receipts and cash disbursements records, create a bank transfer timetable. The auditor creates a bank transfer schedule that details all deposits and withdrawals from a bank account, including intra-bank transfers.
A few days before and after the conclusion of a reporting period's withdrawal and deposit deadlines. This would aid in locating any checks that were unpaid at year's end but weren't noted as such on the year's end bank reconciliation. The right response is therefore option a.
Since the outstanding checks would not be shown on the cut-off bank statement or bank confirmation. Since bank deposit slips are intended to deposit checks and do not display issued or outstanding checks,
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4. net present value method rydell manufacturing is evaluating a proposed capital budgeting project that will require an initial investment of $160,000. the project is expected to generate the following net cash flows: year cash flow 1 $43,600 2 $51,500 3 $48,000 4 $46,900 assume the desired rate of return on a project of this type is 9%. the net present value of this project is suppose rydell manufacturing has enough capital to fund the project, and the project is not competing for funding with other projects. should rydell manufacturing accept or reject this project? reject the project accept the project
The Rydell manufacturing should reject the project with initial investment of $160,000 and net cash flows as year 1 $43,600 2 $51,500 3 $48,000 4 $46,900 because the NPV of this new investment is negative.
What is NPV ?The difference between the current worth of future cash inflows and outflows is regarded as net present value. The NPV is used in capital budgeting and investment planning to evaluate the viability of a proposed investment. Employing the net present value (NPV), which takes into account the time value of money, is one way to compare the rates of return of various projects or assess how well an anticipated rate of return corresponds to the hurdle rate necessary to authorize an investment.
In the NPV calculation, the discount rate, which is dependent on a company's cost of capital, represents the time value of money. This rate may be a barrier for a project.
To solve the question :
Cost of the new investment is $160,000
Net cash flows :
Year 1 – $43,600
Year 2 –$51,500
Year 3 – $48,000
Year 4 – $46,900
Assumed rate of return 9%.
NPV Calculation of the new investment :
Cash Inflows from Investments :
NPV = ∑ [tex]\frac{R_{t}}{(1 + i)^{t} }[/tex]
Where,
[tex]R _{t}[/tex] = net cash flows at time (t)
i = desired rate of return
t = time of the cash flow
= $43,600/1.09 + $51,500 /1.09^2 + $48,000/1.09^3 + $46,900/1.09^4
= 40,000 +43,350.17 + 37,065.64 + 33,215.29
= 153,631.10
Net Present Value = Cash Inflows from Investments – Cost of Investments
Or, Net Present Value = $153,631.10 – $160,000
= -6368.9
From the above result, we can conclude that this is not a worthy investment; because the NPV of this new investment is negative.
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when new firms have an incentive to enter a competitive market, their entry will a. shift the market supply curve to the left. b. increase the price of the product. c. increase demand for the product. d. drive down profits of existing firms in the market.
When new firms have an incentive to enter a competitive market, their entry will shift the market supply curve to the left. A competitive market is an economic word that refers to a marketplace with a large number of customers and sellers where no single buyer or vendor can influence the market.
Competitive markets have no entry barriers, a large number of customers and suppliers, and homogeneous products. Perfect competition, monopolistic competition, oligopoly, and monopoly are the four types of economic market structures. A competitive market is one with the greatest amount of competition feasible. It is also known as a perfectly competitive market because it has many buyers.
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assume you are reviewing a graph that plots earnings per share (eps) on the vertical axis, against earnings before interest and taxes (ebit) on the horizontal axis. the steeper the slope of the plotted line the: multiple choice lower the impact of financial leverage. lower the debt-equity ratio. higher the tax rate. greater the sensitivity of eps to changes in ebit. lower the probability of a negative eps.
Consider that you are looking at a graph where the horizontal axis represents profits before interest and taxes (EBIT) and the vertical axis represents earnings per share (EPS). The higher the sensitivity of eps to changes in EBIT, the steeper the slope of the depicted line. The right response in this case is option C.
DFL calculates the ratio of an organization's EPS changes to its EBIT change. To get a company's DFL, divide its percentage change in EPS by its percentage change in EBIT during a specific time period. The EBIT of a corporation divided by the EBIT less interest expenditure may also be used to calculate it.
A company's earnings have a significant impact on EPS. Earnings before interest and taxes (EBIT) are used to calculate EPS because they represent the amount of profit left over after business expenses are taken into account. Operating income is yet another term used to describe EBIT.
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what are some of the things that a business can do to develop a data-savvy workforce? select all that apply.
To create a data- savvy model a business can do the following:
Form data driven leadershipData should be used everywhereCreate your own data dictionary and relevant toolsHire data scientist and team having expertise knowledgeBuild analytical skills and strong courseData needs to be a part of decision makingWhat do you mean by data?
Data can be referred as vital piece of information that provides relevant and up to date information. The role of data has enhanced largely ranging from big MNCs to small food companies.
Data can be of many types
QuantitativeDiscreteQualitativeContinuousTherefor, to create data savvy given points can be considered.
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kate company submitted an offer to purchase a plot of land that was listed at $120,000. kate's offer was 10% below the list price and was accepted. kate paid $10,000 to remove an old structure in order to make the land ready for use as a building site. title and attorney fees amounted to $3,000. annual property taxes amounted to $5,000 per year. based on this information, the cost of the land as shown on the balance sheet equals:
A title search rate levels from $75 – $200, relying on factors like the place the property is located.
How do you calculate annual property rates?Residential Property
Once you have your valuation, termed the market value, deduct R350 zero to arrive at the rateable value. Multiply the price in the Rand (R0,008619)) via the rateable value. This will supply you your annual rates. Divide this quantity by using 12 to get your month-to-month rates.
Property tax is the annual quantity paid by means of a land owner to the nearby government or the municipal organisation of his area. The property includes all tangible real estate property, his house, workplace constructing and the property he has rented to others.
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https://brainly.com/question/4244513#SPJ4which of the following unites a secondary group in the workplace? a.) a desire for personal understanding b.) a shared worldview c.) a common set of experiences d.) a professional objective
which of porter's four competitive strategies is involved when a company offers products or services that are of unique or superior value compared to those of competitors and that target a wide market?
When a business targets a large market and provides goods or services that are distinct from those of rivals or offer better value, differentiation strategy is at play.
Write a short note on product differentiation.The primary characteristic or characteristics that distinguish a company's goods or services from those of its competitors are referred to as its products. Product differentiation that works results in brand loyalty and higher revenue.
Finding and presenting a product or company's distinguishing qualities as well as the most important differences between it and its competitors are part of a product differentiation strategy. Making a product or service appealing to a target market or audience depends on developing a compelling value proposition and product distinctiveness.
Product differentiation, when done correctly, can give the product's seller a competitive advantage and ultimately boost brand recognition. Two examples of distinct products are the fastest high-speed Internet service and the most economical electric vehicle on the market.
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pierce corp., an accrual-basis, calendar-year c corporation, had the following 2021 receipts: 2022 advance rental payments for a lease ending in 2023 $250,000 lease cancellation payment from a 5-year lease tenant 100,000 pierce had no restrictions on the use of the advance rental payments and renders no services in connection with the rental income. what amount of gross income should pierce report on its 2021 tax return? $100,000 $0 $350,000 $250,000
The gross income is $350000
The sum of an individual's earnings before taxes or other deductions is their gross income, which is sometimes referred to as their gross pay on a paycheck. This covers earnings from all sources, not only work, and is not restricted to earnings in cash; it also covers earnings from the receipt of goods or services. For businesses, the terms gross income, gross margin, and gross profit are equivalent. On the income statement, a company's gross income is calculated as total revenue less the cost of goods sold.
Gross Income=Advance Payment of Rent+Payment for Lease Cancellation
=$250,000+$100,000
=$350,000
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the management of hamano corporation would like for you to analyze their repair costs, which are listed below: machine-hours repair costs april 2,140 $ 33,094 may 2,169 $ 33,112 june 2,126 $ 33,089 july 2,198 $ 33,112 august 2,111 $ 33,022 september 2,214 $ 33,176 october 2,137 $ 33,063 november 2,209 $ 33,149 management believes that repair cost is a mixed cost that depends on the number of machine-hours. using the least-squares regression method, the estimates of the variable and fixed components of repair cost would be closest to:
The corrective option is C = $1 per machine hour plus $30927 per month.
What is an example of variable cost?Costs that change with the volume are called variable costs. Raw materials, piece-rate labor, production supplies, commissions, delivery costs, packaging supplies, and credit card fees are all examples of variable costs. The variable costs of production are referred to as the "Cost of Goods Sold" in some accounting statements.
Machine Hours Repair Cost April 2,146.0 33100 May 2,175.0 33118 Jun 2,132.0 33095 Jul 2,210.0 33118 Aug 2,117.0 33028 Sep 2,226.0 33182 Oct 2,143.0 33069 Nov 2,221.0 33155 Slope 1.0
What are fixed and variable costs?In accounting, expenses that are constant over time regardless of the level of outputs are referred to as fixed costs. Expenses that respond directly and proportionally to shifts in the volume or level of business activity are referred to as variable costs.
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an analyst comes across dates listed as strings in a dataset, for example december 10th, 2020. to convert the strings to a date/time data type, which function should the analyst use?
In order to convert the strings to a date/time data type, the analyst will use mdy() function. Hence, the correct choice of answer for this question is option (b)
Give a brief account on data type.In programming, a data type is a categorization that describes the kind of value a variable possesses and the kinds of mathematical, relational, or logical operations that can be performed on it without producing an error. An integer is a data type that is used to categorize whole numbers, while a string is a data type that is used to classify text.
A grouping or collection of data items is known as a data type. One may define such a grouping for a variety of purposes, including similarity, practicality, or attention-getting. Understanding complicated terminology is frequently aided by good organization. The concept of a data type is explicitly included in almost all programming languages.
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The complete question is given below :
An analyst comes across dates listed as strings in a dataset, for example December 10th, 2020. To convert the strings to a date/time data type, which function should the analyst use?
A now()
B mdy()
C datetime()
D lubridate()
you're trying to determine whether or not to expand your business by building a new manufacturing plant. the plant has an installation cost of $12.5 million, which will be depreciated straight-line to zero over its four-year life. if the plant has projected net income of $1,368,000, $1,935,000, $1,738,000, and $1,310,000 over these four years, what is the project's average accounting return (aar)?
The project's average accounting return (Aar) AAR =0.12702
Briefing:-The average net income divided by the average book value is how we define AAR. The project's typical net profit is:
($1,368,000 + 1,935,000 + 1,738,000 + 1,310,000) / 4 equals $1,587,750 for average net income.
The average book value is equal to ($12,500,000 + 0) / 2 which is $12,500,000.
As a result, the project's AAR is calculated as follows: AAR = Average Net Income / Average Book Value.
AAR =$1,587,750 / $12,500,000
AAR =0.12702
Is the typical income gross or net?Collect every adult's gross income above the age of 15 to determine the average household income. Make careful to account for all sources of income, including salaries, tips, bonuses, retirement income, and social security benefits. among others, Social Security benefits. To calculate the total household income, add these up.
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annual investments are being made so that $20,000 will be accumulated at the end of 10 years. the interest rate on these investments is initially expected to be 4 percent compounded annually. after 4 years, the rate of interest is unexpectedly increased to 5 percent, so that payments for the remaining 6 years can be reduced. what amounts should be invested annually for the first 4 years and what sums for the last 6?
The total amount invested for the last 6 years is $9388.08
The accumulated amount will be $20000 at the end of 10 years
Interest rate = 4% compounded annually
Let x be the annual investment then,
Accumulated amount = x{ (1+r)^t - 1/r}
20000 = x{(1+4/100)^4-1/(4/100)
x = 20000*4/(100*{(1.04)^10-1}
x = 1665.82
For the first four years, the annual investment is $1665.82
After 4 years interest increases to 5%, So, let after 4 years the annual deposited amount be y
So, first we calculate the accumulated amount for the first 4 years
1665.82*{(1+4/100)^4-1}/(4/100)
(1665.82*100)/4*0.1698
= 7073.84
Now this, accumulated amount will act as principal for the 6 years
7073.84*(1+5/100)^6 + y{(1+5/100)^6-1}/(5/100) = 20000
y{(1.05)^6 - 1}/(5/100) = 20000 - 7073.84*(1.05)^6
= 10520.38
y = 10520.38/{(1.05)^6-1}*5/100
= (10520.38*5)/(100*0.3400)
= $1564.68
Total investment for 6 years = 1564.68*6 = $9388.08
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