(6). the supply and demand schedules for avocados are as follows: price per pound quantity demanded per year price per pound quantity supplied per year $0.90 100,000 $0.60 100,000 0.80 110,000 0.70 120,000 0.70 120,000 0.80 140,000 0.60 135,000 0.90 150,000 use a supply and demand diagram to answer the following questions. a. what is the market equilibrium price and quantity? ans: b. the government agrees to purchase as many pounds of avocados as farmers will sell at a price of $0.80 per pound. how much will the government purchase, how much will consumers purchase, and how much will be produced? ans: c. suppose the government policy in part b remains in effect, but consumer demand increases by 10 % (consumers will purchase 10% more at each price than they did before). what will be the effect on total apple output, purchases by consumers, purchases by government, and the price of avocadoes? ans: d. provide your diagram. ans
Answers
A. The intersection of the supply and demand curves is where the market equilibrium price and quantity can be found. The equilibrium cost in this scenario is $0.80 per pound, and the equilibrium output is 120,000 pounds annually.
How much will consumers purchase, and how much will be produced?b. The government will buy 140,000 pounds of avocados if farmers agree to sell all of their produce to it at a price of $0.80 per pound (the quantity supplied at that price). Customers will buy the final 10,000 pounds (the quantity demanded at that price). A total of 140,000 pounds will be produced.
What will be the effect (consumer demand increases by 10 %) on total apple output, purchases by consumers, purchases by government, and the price of avocadoes?c. The demand curve moves to the right if consumer demand rises by 10%. Where the new demand curve crosses the supply curve is where the new equilibrium price and quantity can be found. The new equilibrium price in this situation is $0.90 per pound, and the new equilibrium output is 135,000 pounds annually. There will be a rise in apple production of 135,000 pounds from 140,000 pounds. The government will buy 12,000 pounds, and consumers will buy 123,000 pounds. Avocados will now cost $0.90 per pound instead of $0.80 per pound.
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Related Questions
The Earned Income Tax Credit is considered by policy analysts to be:
a. a historical inefficient method of alleviating the negative effects of poverty
b. one of the most popular and effective means to fight poverty
c. a more conservative approach to harm reduction for people living under the poverty line
d. a measure that in fact only protects the wealthier members of society at the expenses of those in poverty
Answers
The Earned Income Tax Credit (EITC) is generally considered by policy analysts to be:
b. one of the most popular and effective means to fight poverty.
The EITC is a tax benefit program in many countries, including the United States, that provides tax credits to low- and moderate-income individuals and families who meet certain eligibility criteria. It is designed to provide financial assistance and incentive for individuals to work and support themselves and their families.
Policy analysts often view the EITC favorably because it has been shown to have several positive effects. It helps lift families out of poverty, reduces income inequality, encourages workforce participation, and supports economic mobility. The EITC provides additional income to low-income households through tax credits, effectively supplementing their earnings and helping them meet basic needs.
While there may be ongoing debates and discussions about the specific design and implementation of the EITC, it is generally recognized as an important tool in combating poverty and improving the financial well-being of low-income individuals and families.
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The income tax rate in a state is a flat 10 percent. Based on that rate, who has the higher tax burden?
Annual Income
Alex − $20,000
Beatrice − $190,000
Julio − $80,000
Roberta − $60,000
Answers
Answer:
Beatrice − $190,000
Explanation:
she has the most money and when she is taxed the most money will be taken away.
The income tax rate in a state is a flat 10 percent. Based on that rate, Beatrice has a higher tax burden. Thus the correct answer is C.
What is Tax?A tax is referred to a certain amount that is collected by the government of any country from its citizens which is later on used in the development process of the country including building hospitals, roads and maintaining transportation, and so on.
Here we need to tell the name of the person who has a higher tax burden with reference to the rate of tax with a flat ten percent. Beatrice will be considered as the person.
Beatrice owns an annual income of $190,000 which is higher than all available options so with the rate of interest of ten percent he is liable to pay more amount of tax.
Therefore, option C is appropriate.
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Please help me. I will mark you as brainliest !!
The rule of supply and demand says that
A. as price increases, demand decreases
B. supply and demand both increase with price
C. as demand increases, price increases
D. as demand decreases, price increases
Answers
Answer:
The answer is C
Explanation:
Let's say that we have 100 cars unique in the world and each car's value is 10000$. Now, let's say that you have 3 cars like the last ones, 3 cars unique in the world? You won't sell them at 10000$, you have to increase the price because the cars are very rare.
In the manufacturing sector, small businesses sometimes have an advantage over large firms because small businesses
answer choices
are exempted from paying taxes in most countries.
can customize products to meet specific customer needs and wants.
have a better access to highly skilled workers.
can mass produce and supply goods in bulk.
have better access to funds and can invest on sophisticated equipment.
Answers
In the manufacturing sector, small businesses sometimes have an advantage over large firms because small businesses can customize products to meet specific customer needs and wants. Thus, option (b) is correct.
What is manufacturing?The term manufacturing refers to manufacture the product. The product was the converted into the raw material and the finished goods. The manufacturing is the process of the manufacture of the goods. The goods are the related to the sale in the market.
According to the manufacturing sector in the small business customize commodities to get together particular customer needs and wants as the benefit to the large firm. it was the unique in the client preferences basis.
As a result, the significance of the manufacturing are the aforementioned. Therefore, option (b) is correct.
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Which of the following is a certificate of deposit (CD)?
An account paying 0.05% interest with no other limitations
A deposit that has to be maintained in the bank for 1 year in exchange of a 2% interest
A "basket" of money pooled in by many investors to acquire securities based on the value of cash
An investment in stocks
Answers
A deposit that has to be maintained in the bank for 1 year in exchange of a 2% interest is a certificate of deposit (CD).
What does a CD certificate entail?In exchange for holding a specific amount of money for a specific length of time, such as six months, a year, or five years, a certificate of deposit (CD) is a savings account that earns interest from the issuing bank.
What's the procedure for a CD certificate of deposit?A certificate of deposit (CD) is a savings instrument that yields interest on a one-time payment for a predetermined amount of time. In contrast to savings accounts, CDs require that the money remain untouched for the duration of the term in order to avoid penalty fees and lost interest.
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How did economics delay scientists’ first attempts for conservation in the forest industry? Think about MONEY involved for conservation.
Answers
Economics delayed scientists’ first attempts for conservation in the forest industry by prioritizing profits over ecological concerns. The forest industry became a highly profitable venture in the late 19th century, and this led to the exploitation of natural resources, particularly trees. The need to extract timber at a faster rate made it difficult for conservationists to carry out their plans.
Economics and conservation are in conflict because environmental protection often requires investment, which may lead to a reduction in profits. Investors and business owners usually prioritize profit-making over other considerations, such as conservation of resources. This was particularly true in the forest industry, where the demand for wood was high, and the need for conservation was secondary.Forest conservation requires policies and actions aimed at preserving natural resources, such as the implementation of sustainable harvesting methods and protection of endangered species. The need to extract timber at a faster rate made it difficult for conservationists to carry out their plans.
Economics delayed conservation efforts in the forest industry. Profit-making was prioritized over environmental protection, making it challenging for scientists to carry out their plans. In the late 19th century, the forest industry was highly profitable, and the exploitation of natural resources was rampant. Policies aimed at preserving natural resources, such as sustainable harvesting methods and protection of endangered species, required investment, which may lead to a reduction in profits. The demand for wood was high, and conservation was secondary, making it difficult for conservationists to carry out their plans. Therefore, economics played a significant role in delaying conservation efforts in the forest industry.
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Customer relationship management software does not include information about
A. Current customers
B. Prospective customers
C. Former customers
D. Current Suppliers
Answers
Customer relationship management software does not include information about current customers, hence option A is correct.
CRM software is intended to track and manage customer interactions. This information contains contact information, purchasing history, and customer comments.
Software, on the other hand, does not often offer information about existing personnel. This is because CRM software is designed to handle external interactions, whereas HR software is designed to manage employee information.
Thus, "Customer relationship management software does not include information about" is A. Current Customers.
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A company produces and sells electric cars. The company's profit, P, in thousands of dollars, changes based on the number of cars, x, they produce per month. The rate of change of their profit from producing x electric cars is modelled by dP/dx = -1.6x + 48, x ≥ 0. The company makes a profit of 260 (thousand dollars) when they produce 15 dp dx electric cars. 3a. Find an expression for P in terms of x. 3b. The company regularly increases the number of cars it produces. Describe how their profit changes if they increase production to over 30 cars per month and up to 50 cars per month.
Answers
The expression for p in terms of x is:p(x) = -0.3a. to find an expression for p in terms of x, we need to integrate the rate of change of profit equation with respect to x:
dp/dx = -1.6x + 48integrating both sides with respect to x, we get:
p(x) = -0.8x^2 + 48x + c
we need to find the value of the constant c, given that the company makes a profit of 260 (thousand dollars) when they produce 15 electric cars:p(15) = -0.8\((15)^2\) + 48(15) + c = 260
c = 260 + 0.8(15)^2 - 48(15) = -190 8\(x^2\) + 48x - 190
3b. to describe how the company's profit changes if they increase production to over 30 cars per month and up to 50 cars per month, we can use the expression we derived in part 3a.
if the company increases production to 30 cars per month, we can calculate their profit as:
p(30) = -0.8(\(30)^2\)+ 48(30) - 190 = 410 (thousand dollars)
if they increase production further to 50 cars per month, we can calculate their profit as:p(50) = -0.8\((50)^2\) + 48(50) - 190 = 510 (thousand dollars)
we can see that as the company increases production, their profit initially increases, but at a decreasing rate. this is because the rate of change of profit (dp/dx) is a decreasing function of x. eventually, the company may reach a point where further increases in production may result in a decrease in profit, if the cost of producing additional cars outweighs the revenue generated.
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how does using an exporting intermediary limit the risk involved with global marketing?
Answers
Your social media promotion can either narrowly target 50,000 users with an estimated click rate of 10% or broadly
target 250,000 users with an estimated click rate of 1%. Which will get more clicks?
Answers
Answer:
Narrow targeting
Explanation:
1% of 250,000 is 2,500
10% of 50,000 is 5,000
A social media promotion can either narrowly target 50,000 users with an estimated click rate of 10% or broadly target 250,000 users with an estimated click rate of 1%. The narrowly target is the best way.
What is social media?Social media is a term used to describe online communication. Social media systems enable users to have discussions, exchange information, and create content for the internet. Social media mostly used in the youth. The social media are to share the information quickly.
The social media promotion is the part of the marketing. The narrowly target is the specific niche of consumers is the target market on the right time to the right audience. The broadly target to the cover the large level of the audience. The narrowly target is the best option in the social media promotion.
The calculation are:
1% of 250,000 is 2,50010% of 50,000 is 5,000As a result, the significance of the social media are the aforementioned.
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What is the process to add a new transaction from the Check Register window?
1. Select the drop-down arrow by Balance in the Check Register window, then select the type of transaction to enter i.e. deposit, refund, expense, etc.
2. Select the drop-down arrow by Add Check in the Check Register window, then select the payee account, and save.
3. Select the drop-down arrow by Add Check in the Check Register window, then select the new type of transaction to enter i.e. deposit, refund, expense, etc.
4. Select the drop-down arrow by Payment in the Check Register window, then select the new type of transaction to enter i.e. deposit, refund, expense, etc.
Answers
The addition of a new transaction from the Check Register window, there are a few steps you can follow starting from the drop down menu.
First, select the drop-down arrow by Balance and choose the type of transaction you want to enter, such as a deposit or expense. Next, select the drop-down arrow by Add Check and choose the payee account, then save your entry. You can also select the drop-down arrow by Add Check again and choose a different type of transaction to enter. Another option is to select the drop-down arrow by Payment and choose the type of transaction you want to add. Overall, the process involves selecting the appropriate options in the Check Register window to add a new transaction to your account.
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This is my last question plzzzz get it right
Museum curators are in a tourism career.
A. True
B. False
Answers
Answer:
false
Explanation:
Do you think large multinational corporations in general like Wal-Mart, Apple, McDonalds and Frito Lay are good or bad for the world? Is "globalization" another word for “Americanization”? Why or why not? (3 points) Explain using complete sentences.
Answers
Answer:
I think multinational corporations in like these are bad. Because even people on diets or trying to diet, and people buy it for them not knowing its hard for them to say no.
Explanation:
You are the manager of a project that has an operating leverage rating of 2.8 and a required return of 14 percent. Due to the current state of the economy, he expects sales to decrease by 7 percent next year. What change should you expect in operating cash flows next year given your sales forecast?
Answers
Answer:
The change should you expect in operating cash flows next year would be 19.60%
Explanation:
In order to calculate the change should you expect in operating cash flows next year given your sales forecast we would have to make the following calculation:
change should you expect in operating cash flows=operating leverage rating*percentage of decrease sales next year
change should you expect in operating cash flows=2.8*0.07
change should you expect in operating cash flows=19.60%
The change should you expect in operating cash flows next year would be 19.60%
21. What are employee incentive plans and what do they offer?
Answers
Employees that create more are encouraged to do so and are rewarded accordingly under the incentive plan. The phrase "Pay for Performance" describes remuneration choices such merit pay, commission, individual incentive, group incentive, and gain-sharing plans.
What exactly are employee incentive programs?A company may decide to adopt an employee incentive program to encourage staff productivity. Employee incentives are a system that recognizes and rewards effort and success in the workplace by providing employees with the chance to receive prizes or recognition.
Why do workers appreciate incentive plans?Businesses may boost productivity, lower attrition, and reduce production costs by implementing reward programs for their staff. It raises morale, motivates staff, and fosters collaboration by increasing employee involvement. The incentive programs benefited the labor as much as the businesses.
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Five hair stylists at a salon perform 12 haircuts in two hours. One of the stylists,
Francesca, is leaving the salon after 10 years. Francesca usually performs 2
haircuts per hour. Which of the answer choices is correct?
Answers
The salon's average product of labor will decrease when Francesca leaves the salon in the given circumstances.
How is the average product of labor determined?The average product of labor (APL) gauges the typical output of each employee. The total product is simply divided by the workforce. The total output of labor divided by the quantity of workers employed, or Q/L, yields the average product of labor (APL). A popular metric for assessing labor productivity is the average product of labor.
The form of the AP curve on the left suggests that as more workers are hired, AP initially increases to a maximum before decreasing. The average output (or products) that each input produces is referred to as an "average product", factors of production like labor and land.
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with whom will biden meet next month to quell hurt feelings over a submarine contract?
Answers
Answer:
Emmanuel Macron
You just started your first full-time job, and one of the benefits is a retirement savings plan. Someone in the human resources department is going over your benefits and says that you have make choices about how the retirement savings plan is invested. She gives you some papers to read and asks you to stop by and let her know your choices when you come to work tomorrow. What must you consider as you read the information and make your choices? Answer in complete sentences.
Answers
I need to be aware that investment options and the market conditions can change over time, and I should regularly review and adjust my investment choices as to ensure I am on the track to meet my retirement goals.
What is retirement?Retirement is a phase in a person's life when they choose to stop working or reduce their work hours. It is a time when people typically have reached a certain age, have accumulated enough savings or investments, and are ready to leave the workforce. Retirement can be a voluntary decision or forced due to health issues or other reasons. During retirement, individuals can pursue hobbies, travel, spend time with family and friends, and engage in leisure activities they did not have time for while working. Retirement also involves careful financial planning to ensure that one's income will be sufficient to support their lifestyle and cover expenses, such as healthcare and housing. Many people also choose to seek advice from financial planners and other professionals to help them navigate this phase of life.
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you can eliminate negative parts of your credit score by closing accounts that are overdue. true or false?
Answers
It is false that closing of account that are overdue will help eliminate the negative parts of the credit score.
Basically, the Credit score means the score which tells a consumer's general. creditworthiness. The higher the credit score , the higher the rate of repayment of credit.
The credit report is a database which record the credit gotten and its repayment credit by the Debtor.
So, the closure of account will not eliminate the negative credit score, rather, the account closure will prevent the account user from using it again.
Therefore, it is false that closing of accounts that are overdue will help eliminate the negative parts of the credit score.
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Which investment is better stocks, bonds, or mutual funds and why?
Answers
\(\text{Hello There!}\)
\(\bold{Stocks}\) \(\text{is the act of putting money in a business and expecting to make a profit.}\)
\(\bold{Bonds}\) \(\text{are more of a safe to invest in, however, you cannot sell them for 12 months.}\)
\(\bold{Mutual\;Funds}\) \(\text{ is the act of investing in securities with other investors}\)
Mutual Funds can be a good option if you're okay with the lack of investment decisions; however, people often lose money due to the risk of securities going down in value.
\({\underline{\underline{{Stocks}}}\) are going to be your best option for short-term investments.
\({\underline{\underline{{Bonds}}}\) are going to be your best option for long-term investments.
\({\underline{\underline{{Mutual\;Funds}}}\) are going to be your best option for investing in bigger stocks.
\(\boxed{There\;isn't\;a\;"best"\;option;\;it\;depends\;on\;what\;you\;prefer.}\)
\(\rule{300}{1.0}\)
deadline for filing income tax returns that have received extensions
Answers
Third quarter 2023 estimated tax payment is due on September 15, 2023. The deadline to submit your 2022 extended tax return is October 16, 2023. This is the deadline for submitting your tax return if you opted to request an extension.
What occurs if taxes are still unpaid after the extension?For each month that you are late, penalties for filing might increase by 5% of the tax owed. The minimum fine is $100 or 100% of the tax owed with the return, whichever is less, if you are more than 60 days late. By requesting the extension by the deadline, the penalty file is destroyed.
What occurs if you submit your taxes late but don't have any outstanding debt?There is no penalty for filing a late return after the tax deadline if a refund is due. If you didn't file and owe tax, file a return as soon as you can and pay as much as possible to reduce penalties and interest.
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Four ways in which schools could promote entrepreneurship as a viable option to counteract unemployment
Answers
Answer:
Entrepreneurship is an important alternative to counteract unemployment. It not only gives provides employment to the entrepreneur but also provides jobs to others as well.
Explanation:
Entrepreneurship may be defined as the setting up of a business or a work looking out for making profit dealing with the risks and the challenges on its own.
Four ways in which the school can promote entrepreneurship as a viable option to counteract unemployment are :
build awareness and promote entrepreneurship among the students.Provide the benefits of being an entrepreneur and showing them the possibilities of setting up a business that can even provide jobs to others.Providing with valuable ideas and guidance regarding setting up a business and giving an overview of the current market trends and market study.Helping the students reach out to other entrepreneurs and also providing ways to get any financial aid to set up a business.Four Ways through which Schools can promote Entrepreneurship include the following
Creation of entrepreneurship centres to provide consulting to non-profits and small businesses.Awareness creation through seminars and lectures on the importance of entrepreneurship as an alternative to paid employment. Host entrepreneurship contests where incentives are given.Inviting influential and professional entrepreneurs to give lectures.What is Entrepreneurship ?Entrepreneurship is defined as the process of starting up a business, and taking up the responsibility of financial risk with the hope of making profit.
Entrepreneurship is a potent means of reducing unemployment to the lowest minimum.
Entrepreneurship brings about creativity and as such value is created which leads to more wealth.
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A homeowner has a mortgage balance of $149,570.75. If the interest rate on the loan is 9.5% and the monthly payment is $1,303.55 what will be the mortgage balance after the next two payments?
Answers
Answer:
Principal balance at the end of year 2 = 149,330.9079
Explanation:
Loan Amortization: A loan repayment method structured such that a series of equal periodic installments will be paid for certain number of periods to offset both the loan principal amount and the accrued interest.
We will use the following relationships:
Interest paid = Interest rate × loan balance
Principal paid = Monthly installment - Interest paid
Principal balance= loan balance - principal paid
Year 1
Interest paid = 9.5%/12 × 149,570.75 = 1,184.101
Principal paid in year 1 = 1,303.55 - 1,184.101 = 119.448
Principal balance = 149,570.75 - 119.448= 149,451.3018
Year 2
Interest paid = interest rate × loan balance in year 1 = 1183.156
Interest paid = 9.5%/12 × 149,451.3018 = 1183.156
Principal paid = 1,303.55 - 1183.156139 = 120.393
Principal balance at the end of year 2= Principal balance in year 1 - Principal paid in year 2
= 149,451.3018 - 120.393861 = 149330.9079
Principal balance at the end of year 2 = 149,330.90
Examples of variable costs include all of the following except what?
Answers
Examples of variable costs include direct labor, raw materials, and sales commissions. However, one type of cost that is not considered a variable cost is fixed costs.
Variable costs are expenses that change in direct proportion to the level of production or sales. They fluctuate based on the volume of activity or output. Common examples of variable costs include direct labor, raw materials, sales commissions, packaging costs, and shipping costs. These costs increase or decrease as the production or sales volume changes.
On the other hand, fixed costs are expenses that remain constant regardless of the level of production or sales. They do not vary with changes in activity volume. Fixed costs include expenses like rent, salaries of permanent employees, insurance premiums, and equipment depreciation. These costs stay the same regardless of whether the company is producing or selling more or fewer units.
Therefore, when considering examples of variable costs, it is important to understand that fixed costs are not included. Fixed costs are independent of the level of production or sales and do not vary with changes in activity volume.
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The present actions of the federal reserve to fight inflation are designed to:_________
Answers
The present actions of the federal reserve to fight inflation are designed to reduce the money supply and increase interest rates, which will make it more expensive for consumers to borrow money and make it less likely for businesses to increase prices.
The Federal Reserve is taking action to fight inflation in the United States. When prices increase more quickly than salaries, it is called inflation, and it can be bad for the economy.
The Federal Reserve is lowering the money supply by raising interest rates in order to combat inflation. Consumer borrowing becomes more expensive as a result, and price increases by firms become less likely.
This is because when borrowing money is difficult, firms will be hesitant to raise prices, and when interest rates are high, customers will be less eager to borrow money.
Also, by selling securities, the Federal Reserve reduces the money supply and the quantity of money available to the economy.
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Which of the following accounts would normally have a credit balance and appear in the balance sheet?
A. Dividends.
B. Salary expense.
C. Revenue.
D. Uneamed revenue.
E. Accounts receivable.
Answers
The account that contains a normal credit balance & the same appears in the balance sheet is unearned revenue.
The following information is relevant:
The dividend contains the normal debit balance and the same is to be shown under the stockholder equity statement.The salary expense is to be shown under the income statement and contains a normal debit balance.The revenue is to be shown under the income statement & contains a normal credit balance.Unearned revenue is a liability account and contains a normal credit balance. Also, it is to be shown under the balance sheet.The account receivable is an asset account & it contains a normal debit balance. Also, it is to be shown under the balance sheet.Therefore we can conclude that the account that contains a normal credit balance & the same appears in the balance sheet is unearned revenue.
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Which of the following statements is true about mortgages?
A. The adjustable mortgage has an adjustable term of years but
fixed interest rate.
B. The adjustable mortgage has adjustable rates over a set amount
of time.
C. The fixed mortgage has a fixed term of years but adjustable
interest rate.
D. The fixed mortgage has an adjustable interest rate over a set time.
Answers
The statement true about mortgage is B. adjustable mortgage has adjustable rates over a set amount of time.
A mortgage is basically a pact or agreement between the person who is providing a loan in the form of money and the person taking the loan in the form of money. It includes that if you fail to return the amount the lender has all the rights by which they can take away your property that you have submitted as a security deposit in form of property papers.
There are two types of mortgages on the basis of interest rates first is adjustable mortgages which has adjustable rates of interest through a fixed period of time. On the other hand is fixed mortgages which means there is a fixed rate of interest for a fixed period of time.
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Who are the majority of businesses in resort towns targeted to?
O
seniors
O
tourists
O
employees
investors
Answers
The majority of businesses in resort towns target tourists.
Who is the luxury hotel industry's target customer?As you can see, a wide range of people from across all walks of life who are prepared to pay a little extra for the luxury hotel experience makes up the target audience for luxury hotels.
What advantages come from forming and focusing on prospect groups?Overall, specialization is the main advantage of identifying and pursuing niche markets. Finding more wealthy guests who will gush about your hotel will be easier if you can be more precise with your market segmentation.
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An investor is looking at two properties, but will only purchase one of them. Each is similar in utility and location, and has an annual net operating income of $20,000. One has a listing price of $220,000, while the other is listed at $200,000. The investor purchases the $200,000 property. Which economic principle is demonstrated in this example?
A. Regression
B. Externalities
C. Substitution
D. Contribution
Answers
Answer:
contribution would be the answer :)
Explanation:
There are three clues labeled "daily double" on the game show Jeopardy. If three equally matched contenders play, what is the probability that: a. A single contestant finds all three "daily doubles"? b. The returning champion gets all three of the "daily doubles"? c. Each of the players selects precisely one of the "daily doubles"?
Answers
Answer:
a) 0.0358
b) 0.0395
c) 0.1506
Explanation:
Number of clues "daily doubles" = 3
Determine the probabilities
a) P(single contestant finds all three )
assuming event A= a returning champion gets the "daily double" in first trial
P(A) = 1/30 , P(~A) = 29/30
assuming event B = any player picks up "daily double" after the first move
P(B |~A ) = 1/3
hence : P ( B and ~A ) = 29/30 * 1/3 = 29/90
considering second round
P(player chooses both daily doubles ) = 1/3 * 1/3 = 1/9
∴ P(single contestant finds all three ) = 29/90 * 1/9 = 0.0358
B) P ( returning champion gets all three )
= (1/30 + 29/90 )* 1/9
= 32 / 810 = 0.0395
c) P ( each player selects only one )
P = 32/405 + 29/405
= 61 / 405 = 0.1506