Daria plans to retire in 20 years and wants to know how much she will need to have in her account when she retires. She wants to be able to withdraw $5,000 per month for 25 years of retirement, and she expects her account to earn a nominal rate of 9 percent per year. Round to the nearest cent. Do not include any unit (If your answer is $111.11, then type 111.11 without $ sign.)

Answers

Answer 1

We know that she has 20 years left until she retire

We need to find the amount she have to save and add to her saving per year for the the next 20 years.

Given she wants to be able to withdraw $5000 per month for 25 years

25 years = 300 months

$5,000 x 300 months = $1,500,000

she will needs one million and five hundred thousand dollars when she retire

Let's say she just started saving

Daria needs to have present value of the annuity of 25 years, PV is then calculated using the PV function as follows:

=PV(rate,nper,pmt)

=PV(9%/12,12*25,5000)

=595808.11

Answer 2

The present value should be 595808.11.

Calculation of the present value:

Given that,

The 25 years = 300

The rate is = 9% /12

PMT = $5,000

Now the following formula should be used.

=PV(rate,nper,pmt)

=PV(9%/12,12*25,5000)

=595808.11

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Related Questions

"Group decision making is better". Do you agree or disagree with the statement? Give 3 reasons why do you say so?​

Answers

Answer:

I agree because it make the group bring out more ideals

sometimes group decision make some people to voice out their problems

group decision help organization and firms to operate in good aims

6
Select the correct answer from each drop-down menu.
Complete the following statements.
A
entire amount at the end of the
allows consumers to make purchases at specific retailers using credit. Users of this type of card must pay the
Reset
Next

Answers

Complete the following statements.

A credit card allows consumers to make purchases at specific retailers using credit. Users of this type of card must pay the entire amount at the end of the billing cycle.

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After graduating from college, Joseph Tantillo decided to start a retail Web site that specializes in personalized Greek apparel. To fund his Web site, he borrowed money from his parents (who expect to be repaid with interest). In other words, he used _____ financing.

Answers

Answer:

Debt financing

Explanation:

Debt financing is defined as borrowing that a company undertakes to finance it's operations by selling of debt instruments to investors.

The debt instrument attracts interest payment.

Examples of debt financing includes bank loans, loans from friends and family, and government backed loans.

In the given scenario Joseph Tantillo decided to borrow money from his parents to start a retail Web site that specializes in personalized Greek apparel. This is debt financing

In contrast equity financing involves sale of shares to obtain capital

a. The Marketing Department has estimated sales as follows for the remainder of the year (in units):
July
August
30,000 October
70,000
November
September 50,000
December
The selling price of the beach umbrellas is $12 per unit.
b. All sales are on account. Based on past experience, sales are collected in the following pattern:
20,000
10,000
10,000
30% in the month of sale
65% in the month following sale
5% uncollectible
Sales for June totaled $300,000.
c. The company maintains finished goods inventories equal to 15% of the following month's sales. This requ
end of June.
d. Each beach umbrella requires 4 feet of Gilden, a material that is sometimes hard to acquire. Therefore, th
the ending inventory of Gilden be equal to 50% of the following month's production needs. The inventory
beginning and end of the quarter will be:

a. The Marketing Department has estimated sales as follows for the remainder of the year (in units):JulyAugust30,000

Answers

The Marketing Department projects the following sales for the remaining months of the year (in units): 30,000 in July, 50,000 in August, 70,000 in September, 30,000 in October, and 10,000 in December. The remaining sales for the year will total $1,080,000 at a selling price of $12 per unit.

b. According to prior sales data, 20% of June's sales will be collected in the month of the sale, 65% of sales will be collected in the month after the sale, and 5% of sales will be uncollectible. Thus, $240,000 will be the entire amount collected in June.

c. The business keeps completed products inventories equivalent to 15% of the sales for the following month. As a result, the final completed products inventory for June will be $90,000.

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Imagine you are writing a friend an email about your great new job. Use your imagination and your research findings!

Your paragraph/email should answer all of the following:

What career do you have?
Where do you work (hospital, office, lab)?
Whom do you work with?
What do you do at your job?
What makes you good at your job?
What equipment or technology do you use?

Answers

say this:
hey friend! i got a new job today. i’m very excited to work as a doctor, i work in a office sometimes but i go to patients most the time to help them! i work with sara who lives down the street from you. i help kids most the time. i let them use my stethoscope and stuff like that! thanks! [your name]

Mr Ashok has a company, and has an option to issue different types of preference shares. State all the types preference shares a company can issue.

Answers

A company can issue different types of preference shares. Preference shares are shares in the equity of a company that entitle the holder to a fixed dividend amount to be paid by the issuer. The types of preference shares are:
Cumulative preference shares: These are types of shares where shareholders are given the right to receive dividends for those years where dividends could not be paid due to insufficient profits.
Non-cumulative preference shares: These are types of shares where shareholders are not given the right to receive dividends for those years where dividends could not be paid due to insufficient profits.
Participating preference shares: With participating preference shares, the issuing company must pay an increased dividend to the owners of preference shares if there is a participation clause in the share agreement. This clause states that a certain portion of earnings (or of the dividends issued to the owners of common stock) will be distributed to the owners of preferences shares in the form of additional dividends.
Convertible preference shares: These are preference shares that can be converted into common stock if a shareholder wants to change its holding position. They are converted into a predetermined number of preference stocks.
Non-convertible preference shares: These are preference shares where the holder of a preference share has not been conferred the right to get their holding converted into equity share.
Redeemable preference shares: These are preference shares that can be repurchased or redeemed by the issuing company at a fixed rate and date.
In summary, a company can issue different types of preference shares, including cumulative, non-cumulative, participating, convertible, non-convertible, and redeemable preference shares.

The Reverend Petros receives an annual salary of 51,000 as full-time minister this includes 5000 designated as a rental allowance River and Pedro is not exempt from employment tax how much must he include figuring that income for self-employed tax

Answers

If the Reverend Petros receives an annual salary of 51,000 as full-time minister that includes 5000 designated as a rental allowance. The amount that must be include figuring that income for self-employed tax is : $51,000.

What is annual salary?

Annual salary can be defined as the amount a person earn as salary per year.

On the other hand self employed tax can be defined as the tax a  person that is solely working for his/her self  without working for any other person remit to the government.

Therefore the amount that must be include figuring that income for self-employed tax is  the amount of $51,000.

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Assessment
Which of the following is an example of investing in yourself?
A. Taking the time to learn how to create a budget.
B. Investing your money in the stock market.
C. Planning out your financial goals.
D. Signing up for an online class.
10/10

Answers

Answer:

A

Explanation:

The reason is because you can learn new techniques on money saving and budgeting.

avory foods purchased a one-year hazard insurance policy on august 1 and recorded the $4,200 premium to prepaid insurance. at its december 31 year-end, savory foods would record which of the following adjusting entries?

Answers

This entry reflects the fact that $1,750 of the prepaid insurance has been used and $2,450 remains unused at the December 31 year-end.

Savory Foods would record an adjusting entry for the unused portion of the prepaid insurance at its December 31 year-end. This is done by calculating the amount of insurance that has been used from August 1 to December 31 and then subtracting that amount from the total prepaid insurance. The adjusting entry would be a debit to insurance expense and a credit to prepaid insurance.
Here is the step-by-step calculation and adjusting entry:
1. Calculate the amount of insurance used from August 1 to December 31:
- There are 5 months from August 1 to December 31 (August, September, October, November, December).
- The monthly insurance premium is $4,200 / 12 = $350.
- The amount of insurance used is 5 months x $350 = $1,750.
2. Calculate the unused portion of the prepaid insurance:
- The total prepaid insurance is $4,200.
- The unused portion is $4,200 - $1,750 = $2,450.
3. Record the adjusting entry:
- Debit insurance expense for $1,750.
- Credit prepaid insurance for $1,750.
The adjusting entry would be:
Insurance Expense  1,750
Prepaid Insurance     1,750

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Which of the following is an example of a divisional organizational structure? A.Structure is temporary and will likely disband after project is complete. B.Structure is organized either by product or by region. C.Structure allows employees to focus more on department goals rather than company-wide goals. D.Structure groups all employees with the same kind of job together.

Answers

Answer:

B.Structure is organized either by product or by region.

Explanation:

The divisional organizational structure is a type of structure in which the functions of the organization are to be transformed into a division. It could be in terms of a product line or the geographical region

Here in a given situation, the example of a divisional organization structure is option B as it represents that the structure would be organized either by a product or region

Hence, the option B is correct

Answer:

B. Structure is organized either by product or by region.

PLS HELP ME AS SOON AS POSSIBLE! IIl mark you brainliest! I have to write a historical
fiction story about the great
depression and the role is
newspaper, the audience is
the readers of the great
depression, the format is
memoirs, and the topic is
life of a homeless teen. Can
you please write an
example paragraph of that
using facts too.

Answers

Answer:

Explanation:

tienes ques

Arthur files a single income tax return and his maximum tax-free interest under the education savings bond program is $6,000. How much of the interest is excludible if his modified adjusted gross income exceeds the applicable dollar limit by $5,000 (one-third of the phaseout range)?

Answers

If Arthur files a single income tax return and his maximum tax-free interest under the education savings bond program is $6,000. The amount of interest that is  excludible is: $2,000.

How to find the interest that is excludible?

Using this formula to find the interest that is excludible

Excludible interest = Maximum tax-free interest × Phaseout range

Where:

Maximum tax-free interest = $6,000

Phaseout range = 0ne -third = 1/3

Let plug in the formula

Excludible interest = $6,000 × 1/3

Excludible interest = $2,000

Therefore we can conclude that the excludible interest  is $2,000.

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Question 3 of 15
What is the maximum penalty for habitual willful noncompliance with the Fair Credit Reporting Act

Answers

The maximum penalty for habitual willful noncompliance with the Fair Credit Reporting Acts is $2500.

What is Fair Credit Reporting Act?

Fair Credit Reporting Act can be defined as the act which main aims and objectives is to ensure the following when it comes to consumer  credit file are :

Confidentiality of consumer information or dataFairnessAccuracy

An person who willfully violated  Fair Credit Reporting Act such as enough to constitute either a general pattern or business practice will be subject to a penalty of up to $2,500.

Therefore the maximum penalty for habitual willful noncompliance with the Fair Credit Reporting Acts is $2500.

The missing options are:

A. $1000

B. $100 per violation

C. Revocation of license

D. $2500

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Lumpkin Company sells lamps and other lighting fixtures. The purchasing department manager prepared the following inventory purchases budget. Lumpkin’s policy is to maintain an ending inventory balance equal to 10 percent of the following month’s cost of goods sold. April’s budgeted cost of goods sold is $40,000. Required Complete the inventory purchases budget by filling in the missing amounts.

Answers

Answer:

February.

Desired ending inventory = 10% of March Cost of goods(COGS):

= 10% * 35,000

= $3,500

Inventory needed = COGS + ending inventory

= 32,000 + 3,500

= $35,500

Beginning inventory = January ending inventory = $3,200

Required Purchases = Inventory needed - Beginning inventory

= 35,500 - 3,200

= $32,300

March

Desired ending inventory = 10% of April COGS:

= 10% * 40,000

= $4,000

Inventory needed:

= 35,000 + 4,000

= $39,000

Beginning inventory = February ending inventory = $3,500

Required purchases:

= 39,000 - 3,500

= $35,500

Lumpkin Company sells lamps and other lighting fixtures. The purchasing department manager prepared the

Select the correct answer
When Ahmed's company files for bankruptcy, he requests the court to give him another chance to repay debt. He tells the court that he works
for a company from which he receives monthly salary. He thinks he can repay his debts with the salary he receives. Under what legal provision
can the government grant Ahmed the option of repaying his debt?
O A Chapter 15
OB. Chapter 10
OC Chapter 11
OD. Chapter 13
Reset
Next

Answers

I think it’s b chapter 10

The cost of speeding relates crashed in 2008 accounted for per second

Answers

Answer:

Thanks for the fact

Explanation:

Can I have brainliest pls?

What information should researchers and policymakers gather to determine a fair and sustainable plan to make Social Security solvent? Consider each bioecological level. For example, what factors at the macrosystem level might be helpful to policymakers? Exosystem factors? What microsystem or mesosystem factors might help policymakers plan Social Security changes?

Answers

One piece of information that researchers and policymakers should gather to determine a fair and sustainable plan to make Social Security solvent is information about how such funds are spent and invested.

One of the factors at the Macrosystem level that would help policymakers are all the factors that influence child development. This is because if children are well educated and invested in, society is better for it in the long run.

Exosystem factors include organizational factors such as people events and things inside of an organization.

What microsystem or mesosystem factors might help policymakers plan Social Security changes?

Factors in the Mesosystem that might help policymakers plan Social Security changes are;

The interaction between parents and instructors.The child's neighborhood and relationship with his or her familyRelationship between parents and their children's friendsRelationship between siblings and friendsFamily members assist their child at a job or education.The relationship between the church and the family.

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Volatile price changes, technological changes, and government intervention are what type of risks?

Answers

Volatile price changes, technological changes, and government intervention are external risks that can impact a company's operations and performance.

What are Volatile price changes

Volatile price changes refer to fluctuations in input or product prices, which can affect profitability and cost structure. Technological changes can introduce advancements or disrupt an industry, requiring companies to adapt to avoid becoming obsolete.

Government intervention, through regulatory changes or policies, can create uncertainties and challenges for companies, affecting operations, costs, and market access.

To mitigate these risks, companies should implement risk management strategies such as diversification, contingency planning, staying informed about market trends, investing in R&D, and engaging with government stakeholders.

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Lease or Sell Casper Company owns a equipment with a cost of $366,000 and accumulated depreciation of $53,200 that can be sold for $273,400, less a 3% sales commission. Alternatively, Casper Company can lease the equipment to another company for three years for a total of $285,200, at the end of which there is no residual value. In addition, the repair, insurance, and property tax expense that would be incurred by Casper Company on the equipment would total $15,100 over the three years.
Prepare a differential analysis on March 23 as to whether Casper Company should lease (Alternative 1) or sell (Alternative 2) the equipment.

Answers

Answer:

The Company should Lease the equipment (Alternative 1)

Explanation:

Preparation of a differential analysis on March 23 as to whether Casper Company should lease or sell the equipment.

DIFFERENTIAL ANALYSIS

Lease Equipment (Alternative 1); Sell Equipment (Alternative 2) Differential Effect on Income (Alternative 2)

Revenues $285,200 $273,400 –$11,800

Costs –$15,100 –$8,202 $6,898

($273,400*3%=$8,202)

Income (Loss) $270,100 $265,198 $4,902

Therefore Based on the above Differential Analysis the Company should LEASE the equipment (Alternative 1).

Whether to pay a lawmaker for giving a speech at your company is an ethical
dilemma that deals with
O A. lobbying
B. awarding honoraria
c. professional standards
D. gift giving

Answers

Answer: D

Explanation:

Answer:

D. gift giving

Explanation:

According to the infographic in the module, the highest number or customers using payday loans got about how many loans per year?​

Answers

Payday loans are quick personal loans that you might take out to cover unforeseen costs. Although some lenders provide loans up to $35,000 or higher, most customers obtain sums between $500 and $5,000.

With a payday loan, a lender will issue high-interest credit depending on your income for a brief period of time. Usually, a portion of your next paycheck serves as its principal. Payday loans have high interest rates since they are used for short-term, urgent credit.

Additionally, they are known as check advance loans or cash advance loans. Payday loans are readily available to customers and have exceptionally high interest rates. When applying for a payday loan, you often need to present a pay stub because payday loans are primarily dependent on your income.

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PLEASE I NEED HELP WITH THESE
When Alec started his online toy business, he was concerned that his customers might find his products too expensive if he also charged them for the shipping costs. Which kind of market research could he use to help answer this question?

A. causal
B. descriptive
C. exploratory
D. secondary​

Answers

Option C. The exploratory market research could be use to help answer this question.

What is the  exploratory market research?

Exploratory market research would be most helpful for Alec in this situation. Exploratory research is used to gain insights and understanding into a problem or issue and is often conducted when there is limited information available.

By conducting exploratory research, Alec could gather information about his target audience's preferences and willingness to pay for shipping costs, as well as the prices of similar products in the market. This information could help him determine whether charging for shipping would make his products too expensive for his customers.

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Which of the following statements about income taxes is not correct?

Answers

The correct statement regarding the income tax is Deductible temporary differences give rise to deferred tax liabilities, meaning that more tax is payable in the future. hence option C is correct

What is income tax?

A tax placed on people or organizations in relation to their income or profits is known as an income tax. Tax rates multiplied by taxable income are typically used to calculate income taxes. Tax rates might change depending on the taxpayer's attributes and source of income.

The complete part of the question is below:

A) Review Later Income tax expense includes both the amount of tax payable in the current period and the amount of tax due in future periods.

B)Income taxes are based on taxable income and not accounting income.

C)Deductible temporary differences give rise to deferred tax liabilities, meaning that more tax is payable in the future.

D)Deferred taxes arise because of temporary differences between the tax base and the carrying amount of assets and liabilities on the balance sheet.

Hence option C is correct.

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As a producer and seller of athletic shoes, apparel, and equipment, Nike sells
gross domestic products
goods
services
supplies

Answers

As a producer and seller of athletic shoes, apparel, and equipment, Nike sells goods.

Goods are tangible products that people buy to satisfy their wants and needs. Goods can be classified into two categories: consumer goods and producer goods.Consumer goods are items purchased by consumers for their own use and enjoyment, while producer goods are used by businesses to produce other goods and services.Therefore, Nike sells goods, which are tangible products such as athletic shoes, apparel, and equipment.Nike is a leading producer and seller of athletic shoes, apparel, and equipment. The company is one of the largest players in the sportswear industry and is recognized globally for its high-quality products and innovative designs. As a producer and seller of these goods, Nike contributes significantly to the gross domestic product of many countries. The gross domestic product is the total value of goods and services produced in a country within a particular period.

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English-speaking countries contribute to half of the share of global
business output.

Answers

It is true that English is a common business language because English-speaking nations produce the majority of the world's output.

what is meant by Gross world product ?

The total gross domestic product (GDP) of all nations worldwide is known as the gross world product (GWP). This also equals the entire global gross domestic product because imports and exports are exactly balanced when looking at the entire world (GDP).

The World Bank estimates that the nominal GWP was about 75.59 trillion US dollars in 2013. The World Factbook published by the CIA estimates that the GWP was roughly $80.27 trillion in nominal terms and reached over 127.8 trillion international dollars in terms of purchasing power parity in 2017. (PPP).

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Your question is incomplete probably the correct question is

English is a global business language because English-speaking countries contribute the largest share of global output.

a. True

b. False

Metric
Month 1
Month 2
Month 3
% Customer Questions
+896
+10%
+1296
% Shipped On Time
- 10%
-796
-5%
% Shipped Incorrectly
+2%
+4%
+496
% Discounted
+18%
+18%
+1496
Units Shipped (Thousands)
SO
85
100
Question 2 of 4
How impactful were product discounts on
customer questions?
Not
impactful
Extremely
impactful

MetricMonth 1Month 2Month 3% Customer Questions+896+10%+1296% Shipped On Time- 10%-796-5%% Shipped Incorrectly+2%+4%+496%

Answers

Based on the changes in customer changes and the changes in discounts, customer questions were Not impactful on customer questions.

Relationship between Customer questions and discounts.When the discounts were maintained at 18%, customer questions still grew by 2% to 10%. When discounts dropped to 14%, customer questions still increased by its normal rate of 2% to 12%.

In conclusion, we can say that discounts were not impactful on customer questions because customer questions did not change in relation to changes in discount.

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NOVO FINANCE ECONOMICS AND ACCOUNT
243 Sub-task 3: Economic environment (Total: 30 marks: 180 minutes)
The Book Store is a business which sells a variety of books to suit any lifestyle, from
bestselling novels, educational material to children's books
The owner, Wendy Brocks, has realised that there is a demand for creative stationery
based on her customers' requests. She decided to expand her business by producing a
stationery-line including creative paper, envelopes, notepads, creative stamps, craft pens
and wrapping paper which she will sell in
store.
Wendy is considering using semi-finished products to produce the stationery and wants to
loan in order to gain the capital for the expansion of The Book Store. Wendy knows that
import the creative stamps and craft pens from China. Wendy plans to apply for a business
she has to conduct thorough research before starting this new venture.
The student is required to assist Wendy by conducting the research and preparing an
investigative report on the following points:
a) The four factors of production (inputs) needed for the manufacturing process of The
Book Store's new stationery-line. The student is required to investigate two inputs for
each factor of production.
b) Include a drawing of the production process of this new venture.
c) Research the infrastructure needed to manufacture the stationery-line.
d) Propose ideas on how to produce the creative stationery in an environmentally friendly
way to prevent deforestation.
e) Assuming the inflation-rate rises, give one implication that this increased inflation rate.
would have on the import cost of creative stamps and craft pens from China.
Find out the current interest rate as Wendy is considering applying for a loan. The date
the interest rate obtained must be given.
9) The investigation should be concluded by providing an opinion as to whether this
business idea is viable or not and provide three reasons to substantiate the answer.

Answers

The four factors of production (inputs) needed for the manufacturing process of The Book Store's new stationery include land, labor, capital and entrepreneur.

How to illustrate the information?

Based on the information given, the production process of this new venture will be the input or resources that will be used for the production process.

The infrastructure needed to manufacture the stationery-line will be capital, and portfolio designs as well as printing machines.

The ideas on how to produce the creative stationery in an environmentally friendly.way to prevent deforestation is to use less paper and recycling.

An implication of this increased inflation rate is that it lead to the increase in production cost.

Lastly, the business is viable as there is a demand for creative stationery based on her customers' requests.

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QUESTION 4 of 10: Venture capitalists often seek a return of 10 times their investment in 7 years. Approximately what is this compound
annual rate of return?
ОООО
a) 39%
b) 43%
c) 57%
d) 65%
Submit
C2021 Knowledge Matters, Inc.
Due Date: Mar 17, 2021 at 7:00 pm EUT

Answers

Answer:

A

Explanation:

The compound rate of the return annually will be 39%. Then the correct option is A.

What is compound interest?

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Venture capitalists often seek a return of 10 times their investment in 7 years. Then the equation is given as,

10 = (1 + r)⁷

Simplify the equation, then we have

10 = (1 + r)⁷

log 10 = 7 log(1 + r)

log (1 + r) = 1 / 7

1 + r = 1.3895

r ≈ 0.39

r = 39%

The compound rate of the return annually will be 39%. Then the correct option is A.

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I WILL GIVE BRAINLEIST

In what ways do federal, state, and local regulatory agencies play a role in the hospitality and tourism industry, specifically the recreational sector? Identify and describe one example for each agency, evaluating the ways in which this agency impacts the hospitality and tourism industry by using your example as a framework.

What are three influences that led to the development of amusement parks and theme parks? Evaluate and describe some of the ways that these influences helped shape modern amusement and theme parks.

Imagine that you are looking to hire someone for a park ranger position. What characteristics or skills would you look for in the candidates? Why?

Shelly is accompanying her dad to work for a few days over summer break. Her dad is a theme park manager. What are some tasks, duties, and things that Shelly might observe her dad doing over these few days while she is with him at work?

Answers

Answer:

its only my opionion

Explanation:

local and state stakeholders and partners, with some assistance from federal groups. The realization of what federal agencies can and cannot do has led to new approaches. One example is community-based disaster preparedness (CBDP), which is increasingly used as a general framework for promoting local-level capacity building.

The hospitality industry is thought to have the biggest positive socioeconomic effects on employment, living standards, tax collections for state and municipal governments, and local retail sales growth.

What is hospitality?

The term "hospitality" refers to the relationship that exists between a host and a guest in which the host accords the guest some measure of goodwill. This includes the welcoming and entertaining of guests, visitors, or strangers.

Medieval European pleasure gardens, industrialization, and world fairs are three factors that influenced the growth of amusement parks and theme parks. They contributed to the development of modern theme parks and amusement parks by introducing concepts of enjoyment and technological advancements that made mechanical rides possible.

The characteristics or skills for a park ranger will be:

Physical fitness to work outdoors. Strong communication skills.A willingness to help people and conservation efforts.

Shelly can ensure all parts of the park are operating effectively in terms of staff and equipment and oversee the effective application of health and safety regulations and risk assessment to ensure a safe environment for park employees and the public

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A chemical company is considering buying a magic fan for its plant. The magic fan is expected to
work forever and help cool the machines in the plant and, hence, reduce their maintenance costs
by $6,000 per year. The cost of the fan is $50,000. The appropriate discount rate is 10 percent,
and the marginal tax rate is 35 percent. Should the company buy the magic fan? (2.5 Marks)

Answers

No, the company should not buy the magic fan because the NPV (-$24,243.92) of the investment is negative which means expected costs of the fan exceed the present value of the expected benefits.

How do we determine if the company should buy the magic fan?

To determine whether the company should buy the magic fan, we can perform a net present value (NPV) calculation which is a method of evaluating the value of an investment by calculating the difference between the present value of the expected cash flows and the cost of the investment.

The formula for NPV is: (CF1 / (1 + r)^1) + (CF2 / (1 + r)^2) + ... - Cost where: CF1, CF2, etc. are the expected cash flows (in this case, the savings from reduced maintenance costs), r is the discount rate (10%), Cost is the cost of the magic fan ($50,000)

Data

Company expects to save $6,000 per year from reduced maintenance costs for the next 10 years.

Our calculation of the present value of these cash flows:

CF1 = $6,000 * (1 - 0.35) = $3,900 (after taxes)

CF1 / (1 + 0.1)^1 = $3,518.18

CF2 = $6,000 * (1 - 0.35) = $3,900 (after taxes)

CF2 / (1 + 0.1)^2 = $3,173.85

CF10 = $6,000 * (1 - 0.35) = $3,900 (after taxes)

CF10 / (1 + 0.1)^10 = $1,462.07

The sum of the present value of the expected cash flows is $25,756.08. So, the net present value equals:

= $25,756.08 - $50,000

= -$24,243.92

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