the concept that a dollar today is worth more than a dollar a year from now is called the of money.

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Answer 1

The concept that a dollar today is worth more than a dollar a year from now is called the time value of money.

What is the time value of money concept?

The is a financial principle that states the value of a dollar today is worth more than the value of a dollar in the future and holds true because money today can be invested and potentially grow into a larger amount in the future.

In economics, the time value of money is important because it is used to make strategic and long-term financial decisions such as whether to invest in a project or which cash flow sequence is most favorable.

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a communications company pays annual dividends of $8.50 with no possibility of it changing in the next several years. if the firm's stock is currently selling at $60.71, what is the required rate of return? (round to nearest whole number)

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The correct answer 14%

P = D1/(r-g)

60.71  = 8.50/(r-0)

r = 8.50/60.71  = 14%

What  is required rate of return?

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 in relation to its funding costs.

For instance, an investor who can earn 10% annually by purchasing US bonds would first set a required rate of return of 12% before considering a riskier investment.

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patrick's monthly take-home pay is $5,000. his net worth is $125,000. he estimated that he would receive social security benefits worth $1,000 and company disability benefits $2,000 if he becomes disabled. the additional disability benefit that he needs to arrange for is:

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If his monthly home pay is $5,000 the additional disability benefits that he needs to arrange for is $2,000.

How to calculate the money he needs ?

Take-home pay is the remaining income after taxes, benefits, and any additional contributions have been taken out of a paycheck. It is the difference between gross income and everything deducted from it.

Taxes on federal, state, and local income, Social Security and Medicare contributions, contributions to retirement accounts, and premiums for health, dental, and other insurance are all deductible. What the employee really receives is known as take-home pay or net pay.

His net worth =  $125,000

The monthly home pay = $5,000

He receive social security benefits = $1,000

He receive company disability benefits = $2,000

The amount needs to arrange for home pay = 5000 - (2000 +1000)

= $2000

The additional disability benefits that he needs to arrange for is $2,000.

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in two or more complete sentences, describe the steps that a consumer can take to become more financially responsible.

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Consumer can become more financially responsible by (i) understanding consumer protection act and (ii) by reading carefully all labels mentioned in the product packaging.

A consumer is an individual or a group that is not directly involved in entrepreneurial or business operations and who intends to order or uses purchased items, commodities, or service mainly for personal, social, family, or household needs. The phrase has been most frequently used to refer to somebody who makes purchases for their own use. Markets function correctly when consumers and corporations are both protected. Consumers must have access to reliable, honest news about the product and services they seem to want to buy. They are capable of making the right decisions based on their own interests as a result, and firms cannot take advantage of them or deceive them.

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mr. and mrs. casey have two dependent children, ages 3 and 6. the caseys spent $10,300 for childcare this year. mrs. casey is employed full-time as an attorney. mr. casey is an unpublished novelist who has yet to earn any money from his writing. the caseys are eligible for a dependent care credit.

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False The Caseys are not eligible for a dependent care credit.

A federal tax break known as the Child and Dependent Care Credit assists families in paying for child care costs incurred while working or looking for work. Families who are required to pay for the care of an adult dependent or a spouse who is disabled may also be eligible for the credit.

Taxpayers who cover childcare costs out of pocket are eligible for the child and dependent care credit. The credit offers relief to people and couples who support a dependent kid or somebody with a disability while they work or look for job. There is a cap on the total dollar amount of qualifying expenses, and the percentage of eligible expenses that qualify for the tax credit varies based on the taxpayer's income level.

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you are trying to calculate the cost of equity for a 10-year project at boeing. you know that the stock's beta is 1.37 and you estimate that the expected return on the market portfolio is 7.5%. you have collected the following information on the yields of different treasury securities. based on the best practices for estimating the cost of equity, what would be the appropriate cost of equity to use for this project? select one. yields on selected treasury securities maturity yield (in %) 1 month 1.48% 6 months 1.55% 1 year 1.60% 2 years 1.61% 3 years 1.62% 5 years 1.69% 7 years 1.83% 10 years 1.92% 20 years 2.25% 30 years 2.39%

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8.96% is the proper cost of equity to use for this project.

What is cost of equality?The term "weighted average cost of capital" refers to the weighted average cost of a company's various sources of capital, such as debt, equity, and preferred equity.The return a company theoretically gives to its equity investors, or shareholders, in order to make up for the risk they assume by investing their money, is known as the cost of equity. For a business to function and expand, it needs funding from other sources.

According to our question-

Risk free rate for 5th year = 1.69%

Beta = 1.37

Market return = 7%

As per CAPM

cost of equity = Risk free rate + Beta * (Market return – Risk free rate)

= 1.69% + 1.37 * (7% – 1.69%)

= 1.69% + 1.37 * 5.31%

= 1.69% + 7.2747%

= 8.9647% rounded off to 8.96%

8.96% is the proper cost of equity for this project.

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the cost of using a telephone in a hotel meeting room is \$0.20$0.20dollar sign, 0, point, 20 per minute. which of the following equations represents the total cost ccc, in dollars, for hhh hours of phone use?

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According to the given information, the total cost c, in dollars, for h hours of phone use is c=(0.20 × 60)h.

For usage of the conference room phone, the hotel charges $0.20 per minute.

The conversion 1 hour = 60 minutes can be used to convert this per-minute rate to an hourly rate as demonstrated in the following equation.

[tex]\frac{0.20}{minute}[/tex] × [tex]\frac{60 minutes}{1 hour}[/tex] = [tex]\frac{0.20 * 60}{hour}[/tex]

The cost to use the conference room phone is therefore $0.20 per hour at the hotel.

As a result, c=(0.20 × 60)h, or c=0.20, is the cost c in dollars for h hours of use (60h).

Cost is the sum of money needed to produce and market goods and services or to buy property. An expense is incurred when something is sold or consumed. The expense charge for an asset could be postponed by a long time. For assets to move from the balance sheet to expenses in the income statement, the cost concept must be understood.

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when does title to stolen goods transfer?

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The thief has no ownership rights over assets that have been stolenly moved from one owner to another.

Since the thief's title is invalid, no subsequent buyer may obtain it, and the owner can get their money back. The transferee obtains a voidable title if the transfer was made fraudulently.

When the shipping paperwork are handed to the customer and he accepts them by paying for the goods, ownership of the products is passed to him. Therefore, the seller may pursue damages for the breach of contract rather than the cost of the products if the buyer refuses to accept the shipping documents. F.O.B.

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The correct question is:

How are the ownership rights of the stolen items transferred?

if, in the market for lattes shown in the figure, the government assesses a tax of $0.75 on each latte, the price the consumer pays for a latte after the tax will:

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If, in the market for lattes shown in the figure, the government assesses a tax of $0.75 on each latte, the price the consumer pays for a latte after the tax will increase from $2 to $2.25.

Living things that need to hunt, accumulate and consume their food are called purchasers. Purchasers ought to eat to gain electricity or they will die. There are 4 types of consumers: omnivores, carnivores, herbivores, and decomposers.

A client is someone who buys matters for a non-business purpose, either for themselves or for others. Companies use patron advertising campaigns to sell to purchasers. Campaign messaging makes a specialty of each acquiring capability clients and keeping modern customers.

A customer is a person who's the very last user of an object–a good or carrier. For instance, while you consume, you eat the food. You're the final vacation spot, the final person of the meals, making you a customer of food.

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A company producing cosmetics may have hundreds of suppliers, some of which may be selling the same or similar raw and packaging materials to other cosmetics manufacturing companies. In addition, that same cosmetics manufacturer may sell to a retailer that buys similar cosmetics from a number of other manufacturers. This scenario illustrates?.

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Advertising that is designed and paid for jointly by the retailer and marketer, typically in-store, is referred to as cooperative advertising.Advertising that aims to raise awareness of and provide information about a particular brand is known as selective demand advertising.

Logistics has an impact on which of the four Ps of the marketing mix?

Planned operations is most firmly connected with the spot component of the promoting blend.

What is the advertising demand?

Primary Demand and Selective Demand Advertising Selective demand advertisements highlight the advantages of a brand in the hopes that particular customers will choose it over a rival's offerings.

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an asset costs $150,000 and has a salvage value of $15,000 after 10 years. what is the depreciation charge for the 4th year, and what is the book value at the end of the 8th year with (a)straight-line depreciation? (b)double declining balance depreciation?

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25166 is the book value at the end of the 8th year with straight-line depreciation.

What is depreciation explain?

The accounting technique of depreciating an asset throughout its useful life is referred to as depreciation. How much of an asset's value has been used is shown through depreciation. By purchasing assets over a predetermined length of time, it enables businesses to generate income from the assets they own.

What does depreciation look like?

An illustration of depreciation If a firm buys a delivery truck for Rs. 100,000 and expects to use it for 5 years, the business may depreciate the asset as a depreciation charge of Rs. 20,000 per year for the five years.

depreciation charge for the 4th year =  15360

book value at the end of the 8th year = 25166

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__________ is when the expected cost of a shortage equals the expected cost of having excess units within a single-period inventory system.

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Target stocking point is when the expected cost of a shortage equals the expected cost of having excess units within a single-period inventory system.

The amount of inventory a business will keep on hand in terms of days' supply is known as target inventory or target stock level. This level should be high enough to ensure that production capacity can meet demand during peak times and low enough to prevent stocking outs.

It is equal to the maximum in a min-max inventory system. The order point plus a variable order quantity equals the target inventory as a result.

In short, target inventory is the total amount of stock that a company has on hand at any given time.

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a performance marketing manager wants to improve their search ads campaign. on the ads recommendations page, they see that their search campaign has an optimization score of 75%. what does this mean?

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The manager's campaign performance might increase by 25% if they follow the optimization score recommendations, thus that is the correct response.

How did the election turn out?

Campaign performance is a vital metric that a business can use to assess its activity, regardless of the size of the company or the size of the industry. Marketing experts can tell from a campaign's performance whether their goal has been achieved or if there are roadblocks.

What are performance-based campaigns, exactly?

Digital marketing and advertising are instances of performance-based marketing, in which professional service providers are compensated after meeting predetermined criteria and corporate objectives. In digital performance marketing, performance and success are negatively associated, and you only get paid when a specific activity is complete.

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suppose the number of buyers in a market decreases and the price of an input decreases also. what would we expect to happen in the market? group of answer choices equilibrium price would decrease, but the impact on equilibrium quantity would be unclear.

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Correct option: (B) The equilibrium price would decrease, but the impact on the amount sold in the market would be ambiguous.

A market is a collection of systems, institutions, processes, social relationships, or infrastructures in economics that allow parties to exchange goods and services. While parties may trade goods and services for money, the majority of markets rely on sellers providing their wares or services—including labor—to customers in exchange for payment. A market, in this sense, is the mechanism by which the costs of goods and services are decided. Markets enable the distribution and allocation of resources in a community and facilitate trade. Markets enable the evaluation and pricing of any tradable good. In order to facilitate the trade of rights (see ownership of services and goods), markets either develop more or less organically or maybe purposefully created by human interaction.

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proper control for over-the-counter cash receipts includes using electronic cash registers with no tapes. a cash register with totals visible to the customer. cash count sheets requiring only the cashier's signature. cash count sheets requiring only the supervisor's signature.

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Proper control for over-the-counter cash receipts includes using electronic cash registers with no tapes cash count sheets requiring only the supervisor's signature.

What is cash receipts?

A printed recognition of the sum of money received during a transaction involving the transfer of cash or cash equivalents is known as a cash receipt. The vendor gives the consumer the original copy of the cash receipt, keeping the other copy for accounting needs.

Cash receipts are indicated as an addition to the cash account or another asset account on a financial summary. The kind of sale will decide this. When a business provides services and is paid in cash, the sum is added to the business's accounts receivable.

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if a firm is at a point where the marginal product of labor is more than real wage, then it is better off to?

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If a firm is at a point where the marginal product of labor is more than real wage then it better off to,  If the worker is hired, profits will rise because the value of the marginal product exceeds the real wage cost of hiring a new employee.

The extra production that occurs from adding one unit of an input, like labor, to the current combination of productive elements is known as the marginal product of that input.

Marginal Goods The change in output that results from a change in an input per unit while holding all other input components constant is known as the marginal product. Examples include labor, supplies, etc. As the name implies, a marginal mean is a mean that can be found at the edges or margins of a contingency table. In other words, it's an experiment's average score for a group or subgroup.

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when the manager of a department store attaches price tags to his/her products, he/she is using money as a medium of exchange. store of value. unit of transfer. unit of account.

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When the manager of a department store attaches price tags to his/her products, he/she is using money as a unit of account. Hence, option D is the right answer.

One of the money functions in economics is the unit of account. The market worth of commodities, services, and other transactions is measured using a unit of account, which is a common numerical monetary unit.

Money can be used as a unit of account because it is utilized as a means of exchange for buying and selling as well as a value indicator for a variety of commodities and services. That implies that money can keep track of how an item's worth changes over time and across different transactions.

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Fill in the blank. Effective segmentation identifies where your customers are in the ___________, and assists your customers in taking the appropriate next step in their___________.

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"Effective segmentation identifies where your customers are in the buyer’s journey, and assists your customers in taking the appropriate next step in their individual customer journey."

What benefits may audience segmentation provide to your inbound marketing initiatives?

You may adapt your messaging and focus your marketing efforts by being aware of the various audiences.

By using audience segmentation, you can engage and communicate with your customers more effectively, which will help you reach the right individuals with the appropriate message at the right time.

Most firms rely on it as a critical strategy for identifying various consumer segments and their unique needs.

The significance of the idea for a firm is all about being able to comprehend and connect with clients more effectively.

With the use of a customer journey map, you may evaluate sales interactions from the perspective of the consumer rather than the salesperson.

You can more clearly see their point of view and learn why they opted for your product over other brands.

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u.s. net export rises when

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U.S. net exports will rise, and domestic goods will become less expensive in comparison to imports.

The way that exchange rates have an impact on aggregate demand, so do foreign pricing levels. For instance, U.S. goods and services become relatively less expensive when international pricing levels rise in comparison to U.S. price levels, increasing exports and decreasing imports in the U.S. The opposite is true if foreign prices decrease in relation to American prices.

The aggregate demand curve evolves when net export values vary at each price level. Foreign demand for a country's goods and services, which varies with foreign earnings, is a key factor in determining net exports. When foreign incomes rise, a country's net exports and overall demand rise; when foreign incomes fall, net exports and overall demand decline.

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the payment of a fee to have products and services delivered on a recurring schedule is called blank . multiple choice question. subscription commerce social commerce permission marketing interactive marketing

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The payment of a fee to have products and services delivered on a recurring schedule is called subscription commerce.

Subscription commerce is a growing business model in which customers pay a recurring fee to receive products or services on a regular basis. It is an important part of how we shop today, from gym memberships to meal kits to streaming services.

It's become even more common in the last decade, with COVID-19 resulting in a massive surge of new subscribers to all types of businesses.

Access Subscriptions such as Subscribers pay for content and perks such as gated content, discounts, and exclusive products. For example, Netflix. Replenishment Subscriptions, such as Subscribers signing up for recurring deliveries of specific products they use frequently, often at a discount. Consider paper products, vitamins, household supplies, laundry detergent, grocery staples, and so on. For example, Amazon.

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what does the ada seal of approval for dentifrices ensure for the consumer? group of answer choices stains will be removed. abrasives are within safe limits. the paste will prevent cavities. it is not harmful if swallowed.

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The ada seal of approval for dentifrices ensure for the consumer that Abrasives are within safe limits.Hence, B option is correct.

An RDA of 250 or less is required for all dentifrices to carry the ADA Seal of Acceptance. Fluoride toothpastes must satisfy the ADA Council on Scientific Affairs' standards for safety and effectiveness in preventing tooth decay in order to receive the Seal.

Fluoride toothpastes must satisfy the ADA Council on Scientific Affairs' standards for safety and effectiveness in preventing tooth decay in order to receive the Seal. The ANSI/ADA specification for toothpaste26, along with additional laboratory studies, such as the amount of available fluoride, fluoride release in one minute, and fluoride absorption in normal and weakened tooth enamel, are taken into consideration by the ADA Council on Scientific Affairs when evaluating the evidence.

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Which of the following characteristics is true of fiduciary funds?
a. they report assigned fund balances
b. their net assets are unavailable to finance government programs
c. they prepare statements of cash flows for external reporting
d. their net assets cannot have debit balances under any

Answers

They prepare statements of cash flows for external reporting is true characteristics for fiduciary funds. So, the correct answer is option c.

What is a Fiduciary funds?

Governmental accounting uses a fiduciary fund to track assets held in trust for other people. Financial statements are created for fiduciary funds utilising the accrual foundation of accounting and a measurement focus on economic resources. The statement of fiduciary net position and the statement of changes in fiduciary net position are the two financial statements that must be provided by a fiduciary fund. Governments use fiduciary funds to keep track of the assets they own and maintain on behalf of other people or entities, which is why they are also known as trust funds.Formal trust agreements are the main tool used to establish trust relationships. In governmental accounting, assets held in trust for others are recorded using fiduciary funds.

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1. Rick Jenson is paid semi-monthlyHis yearly salary is $36,000 and is paid time and a half for any hours worked over 40 in a week. During the payroll period, he had 4 hours of overtime. Calculate Rick's pay and overtime rate for the semi- monthly period.

Answers

During the payroll period, he had 4 hours of overtime. Rick's pay and overtime rate for the semi- monthly period is $918.

Your response is $918 because you are aware that he was paid $18 per hour and put in 35 hours

which you can calculate as 18x35-630. He also put in 8 hours of overtime, which is double the regular amount, so you can multiply 18 by 2 to get 36 and 36 by 8 to get 288, and then add the two to get $918, which is Rick's total pay.

Paychecks are issued twice a month under a semi-monthly pay schedule, typically on set days like the first and fifteenth or the fifteenth and thirtyth.

They might not always fall on the same day of the week, and as a result, you would only pay your employees 26 times a year as opposed to 24. Switching to a semi-monthly pay schedule, which means each month includes two pay periods, has helped us maintain more stable cash flow. Biweekly payrolls are processed every two weeks, whereas semimonthly payrolls are processed twice a month, typically on the 15th and last day of the month.

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marguerite wants to gift a box of chocolates to her best friend. she walks into a store and buys belgian chocolates because her friend once mentioned that they are the best in the world. this is an example of how consumers respond to

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Marguerite  wants to gift a box of chocolates to his best friend. This is an example of how consumers respond to --country-of-origin effect.

What is country of origin effect?

The country of origin effect (COE) , also known as made-in image and nationality bias, is a psychological effect that explains how consumer attitudes, perceptions, and purchasing decisions are influenced by a product's country of origin label. The country of origin effect, also known as made-in-image or nationality bias, is a psychological effect that explains how consumer attitudes change.

How do marketers influence the country of origin effect?

The country of origin effect refers to the way marketers and consumers associate brands with countries and make purchasing decisions based on the country of origin of a product. For example, quality is associated with Japanese and accuracy is associated with Switzerland, as explained later.

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a congested side street in your neighborhood is a. excludable and rival in consumption. b. excludable and not rival in consumption. c. not excludable and rival in consumption. d. not excludable and not rival in consumption

Answers

A congested side street in your neighborhood is Option c. not excludable and rival in consumption.

The required details about consumption is mentioned in below paragraph.

Consumption is an pastime wherein institutional gadgets burn up items or offerings; intake may be both intermediate or final. It is using items and offerings for the pride of person or collective human desires or wants.intake, in economics, using items and offerings through households. Consumption is wonderful from intake expenditure, that is the acquisition of products and offerings to be used through households. Consumption differs from intake expenditure typically due to the fact long lasting items, together with automobiles, generate an expenditure specially withinside the duration while they're purchased, however they generate “intake offerings” (for example, an vehicle presents transportation offerings) till they're changed or scrapped.Consumption is a complicated social phenomenon wherein human beings eat items or offerings for motives past their primary use-value. Conspicuous Consumption, Symbolic Consumption, Addictive Consumption, Compulsive Consumption and Sacred Consumption are 5 important classes defining unique intake styles

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Baed on a imple random ample of 100 applicant at St. Andrew' college, we'd like to etimate the probability that the ample mean of SAT core will fall within /-10 of the population mean 1697? In other word, between 1687 and 1707, given that the population tandard deviation of SAT core i 87. 4?

Answers

The populace general deviation is a measure of how lots version there is amongst person facts factors in a population. It's a way of quantifying how unfold out the records is from its mean.

What is the difference between populace preferred deviation and sample?

The populace general deviation is a parameter, which is a constant cost calculated from each and every man or woman in the population. A pattern trendy deviation is a statistic. This skill that it is calculated from only some of the humans in a population.

Is populace wellknown deviation the same as variance?

Variance is the average squared deviations from the mean, whilst standard deviation is the rectangular root of this number. Both measures mirror variability in a distribution, however their devices differ: Standard deviation is expressed in the same gadgets as the authentic values (e.g., minutes or meters).

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What are the disadvantages of a home equity loan?

Answers

Home equity loans often have interest rates greater than home equity lines of credit, so you can end up paying more in interest over the course of the loan. Your Residence Will Serve As Collateral, making monthly payments late will lower your credit score.

what is collateral?A valuable asset that a borrower promises as collateral for a loan is known as collateral in the financial industry.The house is used as collateral for the loan when a home buyer gets a mortgage. The automobile is the security for a car loan. When a company seeks bank funding, it may use valuable assets like real estate or equipment as collateral for the loan.An unsecured loan has a higher interest rate than one that is secured by collateral. If there is a default, the lender has the right to sell the collateral to make up the difference.Lenders want to be sure that you have the means to pay back any loans before they give them to you. Because of this, many of them need security of some kind. Collateral is a type of security that lowers the risk for lenders.It aids in ensuring that the borrower fulfills their financial commitment. If the borrower does fall behind on the loan, the lender has the right to seize the collateral, sell it, and use the proceeds to cover the outstanding balance. In order to recover any outstanding balance, the lender may decide to file a lawsuit against the borrower.

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what are the goals of using a disguise? (select all that apply)

Answers

The goals of disguise are Pass initial scrutiny ,Prevent recognition

What are the goals of using a disguise? disguise, cloak, mask mean to alter the dress or appearance of so as to conceal the identity or true nature. disguise implies a change in appearance or behavior that misleads by presenting a different apparent identity. The goals of disguise are Pass initial scrutiny ,Prevent recognitionThe law must have been carefully crafted to satisfy a "compelling governmental interest" and have been passed by the legislature in order to pass rigorous scrutiny.The highest level of review that a court will employ to determine whether governmental discrimination is lawful is strict scrutiny.

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allowance for doubtful accounts is a . multiple choice question. permanent account so its balance carries forward to the next accounting period temporary account so its balance carries forward to the next accounting period permanent account so its balance is closed (zeroed out) at the end of the accounting period temporary account so its balance is closed (zeroed out) at the end of the accounting period

Answers

Doubtful accounts are not closed; rather, the balances are carried over to the following year. They are permanent accounts, just like the majority of the other accounts on a company's balance sheet.

How would you define a permanent account?

The accumulating amounts are continuously recorded in permanent accounts. A permanent account would be one that is receivable. Accounts payable, inventory, and investments are a few further instances of permanent accounts.

What do temporary and permanent accounts mean?

A temporary account can be seen on a company's income statement, which evaluates profit and loss over a period of time, whereas a permanent account can be found on a company's balance sheet, which gives a snapshot of what the company owns and owes at a single point in time.

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Which type of bond is not secured by any type of asset, but backed only by the borrower’s promise to pay?.

Answers

Debenture bonds because and trying to determine the best strategy to help get yourself back on solid financial footing, one of the most important steps you can take is to determine what type of debts you have. In most cases, debts tend to fall into one of two categories:

a homeowner wants to build a fence to enclose a 500 square yard rectangular area in his backyard. along one side the fence is to be made of heavy-duty material costing $9 per yard, while the material along the remaining three sides costs $1 per yard. determine the least cost to the homeowner.

Answers

While the remaining three sides' material costs $1 per yard. The homeowner will pay $134.16 as the lowest cost.

Homeowner: what is it?

Since President George W. Bush declared June to be National Homeownership Month in 2002, the month has been known as National Homeownership Month. The President added that "home is a significant financial investment, it can be a source of tremendous personal pride and it can be an important part of communal stability" in addition to being the foundation of the American Dream.

Since the United States of America was established, our founding fathers had the same conviction that property ownership gave its residents security and allowed them to pursue their happiness. These concepts are still relevant today because home ownership provides families with both financial and emotional stability.

Given,

500 square yards is the size of rectangular space A.

Let L and B be measured in yards.

It was $9 per yard on one side and $1 per yard on the other.

Size = Lb

Cost overall C=9L+b

substitute the value of L i.e. [tex]L=\frac{500}{b}[/tex]

[tex]C=9(\frac{500}{b} ) + b[/tex]

differentiate C w.r.t to b

[tex]\frac{dC}{db}=-(\frac{9*500}{b^{2} })+1[/tex]

Put [tex]\frac{dC}{db}=0[/tex] for max/min value

[tex]b^{2}= 9*500\\b=\sqrt{9*500} \\b= 67.08 yd[/tex]

therefore Length

[tex]L=\frac{500}{67.08} \\L=7.45 yd[/tex]

Total Cost [tex]C=9(\frac{500}{67.08})+67.08\\C= $134.16[/tex]

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