Pontchartrain Company issues $20,000,000, 7.8%, 20-year bonds to yield 8% on January 1, 2017. Interest is paid on June 30 and December 31. The proceeds from the bonds are $19,604,145. The company uses effective-interest amortization. Interest expense reported on the 2017 income statement will total

Answers

Answer 1

Answer:

$1,568,498

Explanation:

First calculate the Amont of discount

Discount on the bond = Face value - Proceeds from the bond = $20,000,000 - $19,604,145 = $395,855  

Now prepare the bond amortization

The Bond Amortization schedule is attached with this answer, please find it.

Now calculate the interest expense for 2017

Interest Expense 2017 = $784,165.80  + $784,332.43

Interest Expense 2017 = $1,568,498.23

Interest Expense 2017 = $1,568,498

Pontchartrain Company Issues $20,000,000, 7.8%, 20-year Bonds To Yield 8% On January 1, 2017. Interest

Related Questions

difference between Kenyan and china culture​

Answers

Chinese culture is one of the world's oldest cultures, tracing back to thousands of years ago. Important components of Chinese culture includes ceramics, architecture, music, literature, martial arts, cuisine, visual arts, philosophy and religion

During April, Cavy Company incurred factory overhead as follows:

Indirect materials $11,600
Factory supervision labor 3,700
Utilities 500
Depreciation (factory) 600
Small tools 230
Equipment rental 720

Journalize the entry to record the factory overhead incurred during April.

Answers

Answer and Explanation:

The journal entry is given below:

Factory Overhead  $17,350

   Materials $11,600

   Wages Payable  $3,700

   Utilities payable  $500

   Accumulated Depreciation $600

   Small tools  $230

   Equipment Rental payable $720

(To record the factory overhead incurred during April)

Here the factory overhead is debited as it increased the expense and credited the payable accounts as it increased the liabilities, credited the material, accumulated depreciation and small tools

Begin with a single sum of money at period 0. First, calculate a future value of that sum at 12.01%. Then discount that future value back to period 0 at 11.99%. In relation to the initial single sum, the discounted future value:_________

a. Is greater than the original amount
b. Is less than the original amount
c. Is the same as the original amount
d. Cannot be determined with the information given

Answers

Answer:

A

Explanation:

Let single sum = 100

The formula for calculating future value:

FV = P (1 + r)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years  

Future value in year 1 = 100 x 1.1201 = 112.01

Present value = future value / (1 + r)

112.01 / 1.1199 = 100.02

The discounted future value, 100.02 , is greater than, 100, the value at the initial stage by 0.02

Yesterday, the dollar was trading in the foreign exchange market at 1.10 euros per dollar.​ Today, the dollar is trading at 1.20 euros per dollar. The dollar has​ ________ and a possible reason for the change is​ ________ in the expected future exchange rate.

Answers

Answer: appreciated; an increase.

Explanation:

Since there's an increase in the dollar rate at the foreign exchange market at 1.10 euros per dollar to 1.20 euros per dollar, this implies that the dollar has appreciated.

The appreciation of the dollar simply means that there's an increase in the value of the dollar when it's compared to.anitgee currency. Tge reason for the change is​ the increase in the expected future exchange rate.

Help please
Identify ways to reduce shrinkage ​

Answers

Answer:

Increase Employee Accountability. ...

Train Staff to Follow Security Policies and Procedures. ...

Consider Your Store Layout. ...

Develop a Culture of Loss Prevention. ...

Invest in Automated Cash Management Technology.

Tora Co. plans to produce 1,020 units in July. Each unit requires two hours of direct labor. The direct labor rate is $20 per hour. Prepare a direct labor budget for July.\

Answers

Answer: $40,800

Explanation:

Each unit requires 2 hours of direct labor.

1,020 units would therefore require:

= 1,020 * 2

= 2,040 hours of labor

The direct labor rate is $20 per hour. If there are 2,040 hours to be worked, the cost would therefore be:

= 20 * 2,040

= $40,800

Describe two distinct reasons why someone who has never used a drug in his or her life might refuse a test at work. Convert those reasons into well-founded ethical arguments.

Answers

Answer: See explanation

Explanation:

The two main reasons why someone who has never used a drug in his or her life might refuse a test at work are provided below:

1. If there's no health related reason for the employer to perform the test.

2. When there's no reason by the employee to believe that drug use is occurring.

It should be noted that an employee can refuse a testing unless testing is mandatory for the job or when there's reasonable suspicion. In a situation where there's suspicion, then ethically, the drug test is reasonable as an employee who uses drug can be less productive than others.

Based on this argument, the privacy of the employee should be respected. For example, in a scenario whereby an employer request for a urine sample of the employee, this is an invasion of privacy. Even if the worker took the substance tbe previous night, he or she didn't take it while at work and hence, that isn't the concern of the employer.

Also, there is an argument of freedom. As individuals, we have the right to pursue our own happiness. This is a legal argument.

Suppose a firm has an annual expenses of $170,000 in wages and salaries, $75,000 in materials, $60,000 in rental expense, and $5,000 in interest expense on capital. The owner-manager does not choose to pay himself, but he could receive income of $30,000 by working elsewhere. The firm earns revenues of $420,000 per year.
1. What are the annual economic costs for the firm described above?
$310,000.
$320,000.
$340,000.
$400,000.
2. What is the economic profit for the firm described above?
$10,000.
$20,000.
Loss of $80,000.
$80,000.
3. To receive a normal profit the firm described above would have to:
Reduce expenses by $10,000.
Earn $80,000 more in revenue.
Earn $80,000 less in revenue.
Earn $310,000 more in revenue.

Answers

Answer:

1. The annual economic costs for the firm described above is:

= $340,000.

2. The economic profit for the firm described above is:

= $80,000.

3. To receive a normal profit the firm described above would have to:

None of the above.

Explanation:

a) Data and Calculations:

Wages and salaries expenses = $170,000

Cost of materials = $75,000

Rental expense = $60,000

Interest expense on capital = $5,000

Total expenses = $310,000

Opportunity cost = $30,000

Total costs = $340,000

Revenue per year = $420,000

1. The annual economic costs for the firm described above is:

= $340,000  ($310,000 + $30,000).

2. The economic profit for the firm described above is:

= $80,000 ($420,000 - $340,000).

3. To receive a normal profit the firm described above would have to:

None of the above.

The normal profit = $110,000 ($420,000 - $310,000)

Firm X is considering the replacement of an old machine with one that has a purchase price of $70,000. The current market value of the old machine is $18,000 but the book value is $32,000. The firm's tax rate is 30%. What is the net cash outflow for the new machine after considering the sale of the old machine? Disregard the effect of depreciation of the new machine if acquired.
A. $47,800
B. $70,000
C. $52,000
D. $40,100 20.

Answers

Answer:

A. $47,800

Explanation:

Calculation to determine the net cash outflow for the new machine after considering the sale of the old machine

First step

Loss on sale of old machine = 18000 - 32,000

Loss on sale of old machine = ($14,000)

Second step

Tax savings from loss on sale=14,000 x 30%

Tax savings from loss on sale = $4200

Third step

Net benefit from sale of old machine = Sales proceeds + tax on loss of sale

Net benefit from sale of old machine= $18,000 + $4200

Net benefit from sale of old machine= $22,200

Now let determine the Net cash outflow for new machine

Net cash outflow for new machine = Cost of new machine – Net benefit

Net cash outflow for new machine= $70,000 – $22,200

Net cash outflow for new machine= $47,800

Therefore the net cash outflow for the new machine after considering the sale of the old machine is $47,800

Terry estimates that the costs of insurance, license, and depreciation to operate his car total $460 per month and that the gas, oil, and maintenance costs are 34 cents per mile. Terry also estimates that, on average, he drives his car 2,000 miles per month. Required: a. How much cost would Terry expect to incur during July if he drove the car 1,534 miles

Answers

Answer:

Total cost= $984.62

Explanation:

Giving the following information:

Fixed cost= $460

Unitary variable cost= $0.34 per mile

Miles driven= 1,534

First, we need to establish the total cost formula:

Total cost= fixed cost + unitary variable cost*number of units

Total cost= 460 + 0.34*x

x= number of miles

Now, the total cost for the month:

Total cost= 460 + 0.34*1,543

Total cost= $984.62

Jack is a married male, while John is single. Your company has an assignment in a branch in Mexico that would last a couple of years. Management feels that John would be better for this assignment because he is single and is free to move. Is this decision fair?

Answers

yes, however we aren’t given a lot of details on the circumstance. For example, John might have another job and/or children. While Jack had no kids and wife doesn’t have a job

No, It is an unfair decision by an employer to discriminate based on an applicant's marital status or perceived marital status. Although in contradict to this situation there is evidence that employers prefer and promote men who are married with children, especially compared to their childless male peers and to mothers as married men are often seen as more responsible and dedicated workers.

What is a marital status?

Civil status, or marital status, are the distinct options that describe a person's relationship with a significant other. Married, single, divorced, and widowed are examples of civil status. Whether or not marital status discrimination is illegal depends on the laws of your state. Federal law doesn't prohibit discrimination on the basis of an employee's or applicant's marital status. However, almost half of the states and the District of Columbia have outlawed this type of discrimination Employers in California are prohibited from asking certain types of questions during a job interview. This includes questions about an applicant's race, religion, or marital status.

To learn more about marital status, refer here :

https://brainly.com/question/21576490

#SPJ2

Minor Electric has received a special... Minor Electric has received a special one-time order for 1,500 light fixtures (units) at $11 per unit. Minor currently produces and sells 7,500 units at $12.00 each. This level represents 75% of its capacity. Production costs for these units are $13.50 per unit, which includes $9.00 variable cost and $4.50 fixed cost. To produce the special order, a new machine needs to be purchased at a cost of $625 with a zero salvage value. Management expects no other changes in costs as a result of the additional production. If Minor wishes to earn $1,075 on the special order, the size of the order would need to be:_______.
a. 3,400 units
b. 683 units
c. 1,700 units
d. 136 units
e. 850 units

Answers

Answer:

e. 850 units

Explanation:

Desired profit = $1,075

New machine cost = $625

Variable cost per unit = $9 per unit

Sale price per unit = $11 per unit

Order size = (Desired profit + Machine cost) / Contribution margin per unit

Order size = ($1,075 + $625) / ($11 - $9)

Order size = $1,700 / $2

Order size = 850 units

So therefore, if Minor wishes to earn $1,075 on the special order, the size of the order would need to be 850 units.

Firms engaged in international trade deal with people they may have never seen, who live in different countries, who speak different languages, and who abide by different legal systems. These factors result in

Answers

Answer:

a lack of trust between the parties.

Explanation:

It is correct to say that these factors result in a lack of trust between the parties, due to social, political and cultural differences between different countries.

To reduce the lack of trust between the parties, it is necessary that companies operating in international trade comply with the legal, ethical and moral rules of the location where they are located, maintaining a multicultural relationship with their stakeholders, observing their preferences and desires and aligning its products and services to what local consumers are looking for in a company. Creating value for the consumer increases the company's confidence and positioning in an international market.

)An investor is trying to decide between a muni paying 5.75 percent or an equivalent taxablecorporate paying 8.25 percent. What is the minimum marginal tax rate the investor must have toconsider buying the municipal bond

Answers

Answer: 30.3%

Explanation:

Because taxes are not paid on municipal bond interest, their interest rates are usually lower with the difference accounting for the taxes paid.

For a municipal bond to be similar to a corporate bond, the tax rate must be such that it makes them equal:

Municipal bond return = Corporate bond return * (1  - tax rate)

5.75% = 8.25% * (1 - tax)

1 - tax rate = 5.75% / 8.25%

1 = 0.6969697 + Tax rate

Tax rate = 1 - 0.6969697

= 30.3%

Caspian Sea Drinks is considering the production of a diet drink. The expansion of the plant and the purchase of the equipment necessary to produce the diet drink will cost $23.00 million. The plant and equipment will be depreciated over 10 years to a book value of $2.00 million, and sold for that amount in year 10. Net working capital will increase by $1.46 million at the beginning of the project and will be recovered at the end. The new diet drink will produce revenues of $9.03 million per year and cost $1.93 million per year over the 10-year life of the project. Marketing estimates 17.00% of the buyers of the diet drink will be people who will switch from the regular drink. The marginal tax rate is 22.00%. The WACC is 14.00%.

Required:
Find the NPV (net present value).

Answers

Answer:

Net cash flow in year 0 = initial investment + increase in working capital

Net cash flow in years 1 to 9 = income after taxes + depreciation

Net cash flow in year 10 = income after taxes + depreciation + recovery of working capital

the percentage of buyers shifting from regular to diet drink is irrelevant for this project

IRR is calculated using the IRR function in Excel, with the inputs of values being the array of cells containing the net cash flows

IRR = 16.7627%

Based on a predicted level of production and sales of 20,000 units, a company anticipates total variable costs of $96,000, fixed costs of $24,000, and operating income of $163,200. Based on this information, the budgeted amount of contribution margin for 17,000 units would be:

Answers

The budgeted value of the contribution margin for 17,000 units should be $159,120.

But before determining the contribution margin value first determine the following amounts:

Current contribution margin = Fixed costs + Target operating income

= $24,000 + $163,200

= $187,200

Now contribution margin per unit is

= $187,200 ÷ 20,000 units

= $9.36 per unit

And, finally the contribution margin value should be

= 17,000 units × $9.36 per unit

= $159,120

Therefore, we can conclude that The budgeted value of the contribution margin for 17,000 units should be $159,120.

Learn more about the contribution margin here: brainly.com/question/15186113

To reduce your chances of identify theft you should


a.
carry your Social Security Card in your wallet.
b.
check your credit rating regularly.
c.
only use drive thru ATM’s.
d.
never keep receipts with credit information printed on them.

Answers

To reduce your chances of identify theft you should: d. never keep receipts with credit information printed on them.

What is identity theft?

Identity theft  can be defined as the way in which person tend to make use of another person personal data or information so as to defraud people or to commit a crime.


This person can either make use of the person name, credit card numbers among others to commit a fraudulent act by impersonating the owner without the awareness of the person that owns the information.

In order to reduce the  identify theft  it is advisable that  a person should never keep  receipts that has details of their credit information printed on them as a fraudster can make use of the information to defraud or to commit crime.

Therefore To reduce your chances of identify theft you should: d. never keep receipts with credit information printed on them.

Learn more about Identity theft here:https://brainly.com/question/1531239

#SPJ1

type of power based on manager's ability to influence employees with something of value to them.​

Answers

Answer:

incentive or reward

Explanation:

incentive pay, time and a half pay for overtime are examples

Arndt, Inc. reported the following for 2021 and 2022 ($ in millions):
2021 2022
Revenues 888 980
Expenses 760 800
Pretax accounting income (income statement) 128 180
Taxable income (tax return) 116 200
Tax rate: 25%
a. Expenses each year include $30 million from a two-year casualty insurance policy purchased in 2021 for $60 million. The cost is tax deductible in 2021.
b. Expenses include $2 million insurance premiums each year for life insurance on key executives.
c. Arndt sells one-year subscriptions to a weekly journal. Subscription sales collected and taxable in 2021 and 2022 were $33 million and $35 million, respectively. Subscriptions included in 2021 and 2022 financial reporting revenues were $25 million ($10 million collected in 2020 but not recognized as revenue until 2021) and $33 million, respectively. Hint. View this as two temporary differences-one reversing in 2021; one originating in 2021.
d. 2021 expenses included a $14 million unrealized loss from reducing investments (classified as trading securities) to fair value. The investments were sold and the loss realized in 2022.
e. During 2020, accounting income included an estimated loss of $6 million from having accrued a loss contingency. The loss was paid in 2021, at which time it is tax deductible.
f. At January 1, 2021, Arndt had a deferred tax asset of $4 million and no deferred tax liability.
Required:
1. Which of the five differences described in items a-e are temporary and which are permanent differences?
2. Prepare a schedule that reconciles the difference between pretax accounting income and taxable income. Using the schedule, prepare the necessary journal entry to record income taxes for 2022.
3. Prepare a schedule that reconciles the difference between pretax accounting income and taxable income. (Amounts to be deducted should be indicated with a minus sign.

Answers

iequie   nswer:q

Explanation:

traduce soloo se me tosquiero pun

You are considering the purchase of a machine out of your evaluation among four new ones. They have differing initial and ongoing costs and differing lives. Whichever machine is purchased will be replaced at the end of its useful life. Under such circumstances, you should choose the machine to purchase based on the ___________________.

Answers

Answer:

Lowest equivalent annual cost.

Explanation:

Considering the above scenario, it is more advantageous to choose the machine that has the lowest equivalent annual cost. As the newly acquired machine will be replaced at the end of its useful life, it is more advantageous for it to have a higher performance and lower annual cost among others, as the cost of depreciation of machinery and equipment must be considered as a fixed cost that will also directly impact a company's accounts.

Cosmo Company reported credit sales of $345,000 for the calendar year in its first year of operations. At December 31, customers buying on credit owed $35,000 to the company. Based on the experience of similar businesses, management estimates that $3,500 of its accounts receivable will be uncollectible.

Required:
Prepare the necessary December 31 adjusting entry by selecting the correct account names and dollar amounts

Answers

Answer and Explanation:

The journal entry is given below:

Bad debt expense  $3,500

         To Allowance for doubtful debts $3,500

(Being bad debt expense is recorded)

Here bad debt expense is debited as it increased the expense and credited the allowance as it decreased the assets

, G's employees each earned an average of $870 per week. A total of 600 vacation weeks earned in 2021 were not taken during 2021. Wage rates for employees rose by an average of 6 percent by the time vacations actually were taken in 2022. What is the amount of G's 2022 salaries expense related to 2021 vacation tim

Answers

Answer:

$31,320

Explanation:

Calculation to determine the amount of G's 2022 salaries expense related to 2021 vacation tim

G's employees earned average of $870 per week.

Total vacation week in 2021 wew not taken - 600 week

Total salary expense of G corporation = $870 per week × 600

Total salary expenses = $522,000

If Wage rates for employees rose by an average of 6 percent

The amount of G's 2022 salaries expense = Total salary expenses × wage rate

The amount of G's 2022 salaries expense = $522,000 × 6%

The amount of G's 2022 salaries expense = $31,320

Therefore the amount of G's 2022 salaries expense related to 2021 vacation tim is $31,320

out line four roles played by entrepreneurs in Kenya​

Answers

Answer:

The roles of entrepreneurs in Kenya are:

Looking out for and spotting opportunities in the marketCreating jobsIncreasing the Internally Generated Revenue of KenyaDevelopment of Infrastructure

Explanation:

Entrepreneurs know how to spot changes and patterns in business trends. When the market begins to tilt in a particular direction, entrepreneurs are quick to spot and take advantage of such. Many times, they even think of the demand before the market knows it to exist.Job creation is one of the reasons why SMEs are invaluable to any economy. Kenya inclusive. When a business does well, where it is located, this translates to increased revenue for the government. There are two main channels via which the government can make money from businesses:

A. Company Income Tax

B. Taxes paid to the government by employees working in such establishments.

Countries that are business savvy run an environment that is enabling for entrepreneurs whilst providing tax incentives for top talent. Hence attracting more revenue to their coffers.

Because governments need businesses to thrive, they provide every amenity that is necessary for businesses and their staff to be comfortable in such environments. This way, entrepreneurs indirectly influence the development of infrastructure.

Cheers

Which 3 types of customer statements can QuickBooks Online generate?

Answers

Answer:

There are three types of customer statements in QuickBooks Online.

- Balance Forward: A list of invoices and payments with balance for date range selected.

- Open Item: A list of open, unpaid invoices from the last 365 days.

- Transaction Statement: A list of transactions between the selected dates.

I hope this help you! If it help you please mark me brainlest! Thank you! Have a great day! :)

You own a portfolio that is invested 15 percent in Stock X, 35 percent in Stock Y, and 50 percent in Stock Z. The expected returns on these three stocks are 9 percent, 15 percent, and 12 percent, respectively. What is the expected return on the portfolio

Answers

Answer:

12.60%

Explanation:

The expected return on the portfolio is the sum of the weighted expected return of each stock in the portfolio

(0.15 x 9) + (0.35 x 15) + (0.5 x 12)

= 1.35 + 5.25 + 6

= 12.6%

During year 1 meriwerher construction company started a construction job with a contract price 3,000,000 the job was completed in year 2

Answers

Answer Correct Answer = Option ‘C’ $ 350,000= Gross Profit for Year 2 Working for above answer Working Year 1 end Year 2 End A Contract Price $ 3,000,000

HOPE SO IT HELPS YOU

advantages of discounted payback period​

Answers

Answer:

The main advantage of the discounted payback period method is that it can give some clue about liquidity and uncertainly risk. Other things being equal, the shorter the payback period, the greater the liquidity of the project. Also, the longer the project, the greater the uncertainty risk of future cash flows.

What promotional strategy is being employed when Blue Cross/Blue Shield (a health insurance company) runs advertisements targeting Boeing Co. employees, in hopes that they will persuade their bosses to consider adopting a Blue Cross/Blue Shield insurance plan for their company

Answers

Answer:

Pull Strategy

Explanation:

Distribution Strategies

This simply covers the most favorable way to deliver product or service to target market/audience.

Types of distribution strategies

They includes :

1. Push Strategy:

2. Pull Strategy:

3. Combination of both: that is the use of both push and pull strategies.

Pull Strategy

In this type of strategy, marketing in this aspect is solely directed on the end consumer, who thereafter demands it from the retailer, who also then demands it from the wholesaler and lastly then the manufacturer. It is simply pulling of products through the channel. This strategy is used when consumers gather information and decide about their purchases before entering the retail outlet. Company moves their products through the distribution channel by building consumer demand for the products and thereafter influence/convince retailers to stock these products.

Types of marketing communications used in Pull strategy selling. They includes:

1. Advertising,

2. Consumer sales promotions,

3. Public relation.

When a company uses advertising to increase demand for their product or services, the pull promotional strategy is used. Blue Cross/ Blue shield uses the pull promotion strategy.

What is a strategy?  

 

A strategy refers to the method or plan used to achieve the organization's goals.

A Pull marketing strategy is a type of strategy employed by an organization to create the demand for a product by various means like Sales promotion and discount, Advertising, Email marketing, Social media networks, etc.

Different marketing activities are involved to pull customers to their products.

         

Therefore, Blue cross employed the pull promotional strategy to target Boeing co. employees.

Learn more about Strategy here:

https://brainly.com/question/15860574

This Question: 1 pt
The law of demand
shown graphically by a
demand curve
When the price of a good drops, consumers purchase more of it because of
O A. the substitution effect only.
OB. neither the income nor the substitution effect.
O C. the income effect only
OD. both the income and substitution effect.
Click to select your answer
Type here to search
о

Answers

Answer:

C. the income effect only

Explanation:

In microeconomics, the income effect is the change in demand for a good or service caused by a change in a consumer's purchasing power resulting from a change in real income. This change can be the result of a rise in wages etc., or because existing income is freed up by a decrease or increase in the price of a good that money is being spent on

A three-year bond has an 8.0 percent coupon rate and a $1,000 face value. If the yield to maturity on the bond is 10 percent, calculate the price of the bond assuming that the bond makes semiannual coupon payments.

Answers

Answer:

$949.24.

Explanation:

The price of the bond also known as the Present Value (PV) of the Bond CAN be calculated using a Financial Calculator as

FV = $1,000

I/yr = 10%

Pmt = ($1,000 x 8.0 %) / 2 = $40

N = 3 x 2 = 6

P/yr = 2

PV = ???

Inputting the data in a Financial Calculator gives a Present Value of $949.24. Thus the price of the bond is $949.24.

Other Questions
Identify the sequence that lists the sides of MNO in order from shortest to longest. can the area of a square be expressed as a prime number if its side length is expressed as a natural number? What is 2:50 is simplest form "Now we're gonna discuss the thing what I said earlier"or"Now we're gonna discuss the thing I said earlier" is adding "What" to the first phrase after 'thing' makes any difference??? Read the excerpt from chapter 6 of Animal Farm.Every human being held it as an article of faith that the farm would go bankrupt sooner or later, and, above all, that the windmill would be a failure. They would meet in the public-houses and prove to one another by means of diagrams that the windmill was bound to fall down, or that if it did stand up, then that it would never work. And yet, against their will, they had developed a certain respect for the efficiency with which the animals were managing their own affairs.What do the actions of the humans in this passage most reveal about their motivations and values?They are motivated by the completion of a task.They value others contributions equally.They are motivated by others' failures.They value efficiency and accomplishment. cuales son las caracteristicas de el livermorio The range is the set of________A) First Coordinates B) Ordered PairsC) Second coordinates writing ( about 80 - 100 words ) :what is your best leisure activity? why? From the figure, the cylinder glass has a height of 6 inches and a radius of the mouth of the glass 1.25 inches. Find the length of SK in inches. Working for a car company, you have been assigned to find the average miles per gallon (mpg) for acertain model of car. you take a random sample of 15 cars of the assigned model. based on previous evidence and a qq plot, you have reason to believe that the gas mileage is normally distributed. you find that the sample average miles per gallon is around 26.7 with a standard deviation of 6.2 mpg.a. Construct and interpret a 95% condence interval for the mean mpg, , for the certain model of car.b. What would happen to the interval if you increased the condence level from 95% to 99%? Explainc. The lead engineer is not happy with the interval you contructed and would like to keep the width of the whole interval to be less than 4 mpg wide. How many cars would you have to sample to create the interval the engineer is requesting? In a simple machine the energy input is 120J if the efficiency of the machine is 80% calculate the energy output A contractor construct to build a house in 30 days. He employed 10 men to build the house. After 20 days. They completed only 1 /3 of the total work. How many more men will be required to finish the remaining work within due time? When money is used in a trade instead of the direct exchange of goods, it acts as a __________. II. Choose the word whose stressed syllable is different from that of the others. 1. A. education B. professional C. alternation D. preparation 2. A. secure B. nation C. vision D. ready 3. A. promotion B. performance C. correction D. dangerous 4. A. alternate B. discussion C. satisfy D. commuter 5. A. comfort B. install C. neighbor D. motion 6. A. graduation B. technology C. activities D. security 7. A. satisfaction B. television C. entertainment D. informatic8. A. difference B. vegetable C. suggestion D. physical 9. A. prepare B. announce C. discuss D. notion 10. A. sometimes B. question C. station D. receive 5^325=Simplify as much as possible The distribution of widgets from a production line is known to be approximately normal with mean 2.7 inches and standard deviation 0.25 inches. About 95% of the distribution lies between what two values?A. 2.45 inches and 3.2 inchesB. 2.45 inches and 2.95 inchesC. 2.2 inches and 3.2 inchesD. 1.95 inches and 3.45 inches I add 7 to a certain number. I double the result. My final answer is 34. What was my number? Please help me determine the general equation for the graph above as well as solve for a. Thank you. 0.3 Product Ticket: CERQuestionUse the text to identify the sentences with evidence that matches the claim.Claim 1 --> Tropical rainforests contain more biodiversity than all other biomes.1) Biodiversity refers to the total number of different species of all kinds living in an area.2) Tropical rainforests have many of the climate characteristics that organisms of different species need to grow, such as warm temperatures, plenty of rain, and many food sources.3) There are large amounts of daily sunlight, which provides a great deal of energy to a variety of rainforest organisms.4) Surprisingly, rain forest soil is very poor.5) Due to the large amounts of rainfall, nutrients are leached out of the soil quickly.6) Warm temperatures cause dead organisms to decay quickly, and the nutrients are then used by many different plants.1, 2, 51, 2, 51, 3, 41, 3, 42, 3, 62, 3, 61, 4, 5 Which of the following is NOT a requirement for testing a claim about two population standard deviations or variances? A. The populations are independent. B. One of the populations is normally distributed. C. The two samples are simple random samples. D. This test requires that both populations have normal distributions.