John wants to purchase a new motorcycle that costs $10,000 in five years. If John wants to have $10,000 in five years, how much would he have to deposit at the end of each of the next five years?

Answers

Answer 1

Answer:

2.ooo

Explanation:


Related Questions

Both excess supply and excess demand are a result of
equilibrium
disequilibrium
overproduction.
elasticity

Answers

Answer:

disequilibrium

Explanation:

Disequilibrium is the state of the market when the external and internal forces are stopping from achieving the market balance, so the market is excessively falling out this balance. It can be short-term, or long-term

Disequilibrium happens when the supply is not equal to the demand, when the market is inequal, it can lead to excess supply and excess demand.

Excess demand and excess supply only affect the market as a result of disequilibrium.

What is Disequilibrium?This is a scenario where the quantity supplied does not match the quantity demanded at a given price. Leads to a lost of balance in economy as well as price problems.

When the demand is not enough to meet the supply, this disequilibrium is called excess supply. The reverse is excess demand.

In conclusion, option B is correct.

Find out more on disequilibrium at https://brainly.com/question/657854.

A 90-day, 12% note for $10,000, dated May 1, is received from a customer on account. The maturity value of the note is:___________.
a. $10,000
b. $9,550
c. $10,300
d. $450

Answers

Answer:

c. $10,300

Explanation:

The computation of the maturity value of the note is shown below:

Maturity value of the note = Face value + interest for 90 days

= $10,000 + $10,000 × 12% × (90 days ÷ 360 days)

= $10,000 + $300

= $10,300

We simply added the face value and the interest for 90 days so that the maturity value would come

Hence, the correct option is c. $103,00

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

Steve Smith will receive $82,870 on 5 years from now, from a trust fund established by his father. Assuming the appropriate interest rate for discounting is 10% (compounded semiannually), what is the present value of this amount today? (Round factor values to 5 decimal places, e.g. 1.25124. Round answers to the nearest whole dollar, e.g. 5,275.)

Answers

Answer:

$50,875

Explanation:

The computation of the present value is shown below:

Given that

NPER = 5 × 2 = 10

RATE = 10% ÷ 2 = 5%

PMt = $0

FV = $82,870

The formula is shown below:

= -PV(RATE;NPER;PMT;FV;TYPE)

After applying the above formula, the present value is $50,875

Hence, the present value is $50,875

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Jumber Corp makes one product. Budgeted unit sales are shown belowJan 7300Feb 8600March 10100April 13600The ending finished goods inventory should equal 30% of the following month's sales. The budgeted required production for February is closest to:A) 8600 unitsB) 11630 unitsC) 9050 unitsD) 14210 units

Answers

Answer: 9050 units

Explanation:

From the information given in the question, the following can be deduced:

Budgeted sales for February = 8,600

Add: Desired ending inventory = 3% × 10100 = 0.3 × 10100 = 3,030

Total needs = 8600 + 3030 = 11630

Less: Beginning inventory = (2,580)

Required production = 9050

The budgeted required production for February is 9050 units

If an advertiser wants to enhance the sales of a specific good or service, institutional advertising should be used. Select one: True O False​

Answers

Answer: True.

Explanation:

Steady Company’s stock has a beta of 0.20. If the risk-free rate is 6% and the market risk premium is 7%, what is an estimate of Steady Company’s cost of equity?

Answers

Answer:

the estimation of the cost of equity is 7.4%

Explanation:

The computation of the estimation of the cost of equity is shown below:

Here we used the Capital Asset Pricing model formula i.e.

Cost of equity = Risk free rate + Beta × market risk premium

= 6% + 0.20 × 7%

= 6% + 1.4%

= 7.4%

Hence, the estimation of the cost of equity is 7.4%

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

why is specialization a good idea in trade ?​

Answers

Countries become better at making the product they specialize in. Consumer benefits: Specialization means that the opportunity cost of production is lower, which means that globally more goods are produced and prices are lower. Consumers benefit from these lower prices and greater quantity of goods.

Answer:

it tells the other side of the trade you know what to do with the product and to fullfill the other sides expections

Explanation:

Good Guy Foods wants to establish a trust fund that will provide $125,000 in scholarships each year for needy students. The trust fund is expected to earn a fixed 7.25 percent rate of return. How much money does the firm need to contribute to the fund assuming that only the interest income is to be distributed? a. $1,687,450 b. $1,478,023 c. $1,333,333 d. $1,724,138

Answers

Answer:

Good Guy Foods

The amount that the firm needs to contribute to the fund, assuming that only the interest income is to be distributed is:

d. $1,724,138

Explanation:

a) Data and Calculations:

Distributable Trust Fund = $125,000

Rate of interest or return = 7.25%

The distributable trust fund is a product of total trust fund multiplied by the rate of return.

The total trust fund = $125,000/7.25%

= $125,000/0.0725

= $1,724,138

Check:

7.25% of $1,724,138 = $125,000

b) Good Guy Foods needs to contribute $1,724,138 in funds that will earn 7.25% annually and equal the scholarship amount of $125,000 annually.

Suppose that real gdp per capita in italy is $33,500. if real gdp per capita is growing at a rate of 1.6% per year, how many years will it take for real gdp per capita to reach $67,000?

Answers

Answer:

45 years

Explanation:

The computation of the number of years to reach the $67,000 real GDP per capita is shown below:

Here we use the rule of 72 that doubles the real gdp per capita

= 72 ÷ growth rate

= 72 ÷ 1.6%

= 45 years

In 45 years the real GDP per capita would be doubled that means from $33,500 to $67,000 it would be reached in 45 years

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

The Toyota Mirai is a prime example of advanced technology. However, there are no refueling stations available or planned in the Midwest, so to someone in Michigan, the Mirai would be a poor purchase. This is an example ofa) quality being defined by the buyer.b) poorly designed technology.c) the market not wanting advances in technology.d) a product designed for all markets.e) a product being of low-quality

Answers

Answer:

The correct answer is the option C: the market not wanting advances in technology.

Explanation:

To begin with, the fact that the new product is an example of advanced technology it does not exactly engages in the fact that it will work in every market that it will be launched. That is the example presented in the case, the new product is so good but the market where it launched it was not ready yet for its arrival and that is because it did not have the refueling stations so that implicates that if there are not those stations then the demand of that type of cars is not enough and therefore the market is not wanting that kind of advances in technology so that is why that to someone in Michigan the Mirai would be a poor purchase.

Stanford issues bonds dated January 1, 2019, with a par value of $248,000. The bonds’ annual contract rate is 7%, and interest is paid semiannually on June 30 and December 31. The bonds mature in three years. The annual market rate at the date of issuance is 10%, and the bonds are sold for $229,115
1. What is the amount of the discount on these bonds at issuance?
2. How much total bond interest expense will be recognized over the life of these bonds?
3. Prepare an effective interest amortization table for these bonds.

Answers

Answer:

1. What is the amount of the discount on these bonds at issuance?

$18,885

2. How much total bond interest expense will be recognized over the life of these bonds?

total interest expense = ($248,000 x 7% x 3 years) + $18,885 = $70,965

3. Prepare an effective interest amortization table for these bonds.

see attached PDF

Explanation:

the journal entry to record the issuance

January 1, 2019, bonds issued at a discount

Dr Cash 229,115

Dr Discount on bonds payable 18,885

    Cr Bonds payable 248,000

Please help! Tina Technology is looking to raise $85,000 worth of capital, and she is looking to raise that money through the internet and still fall under an SEC exemption. How should Tina go about raising that money? Due to the amount of capital she is looking to raise, will Tina be subject to any other special requirements?​

Answers

Answer:

Throughout this circumstance, the financing approach may be used by Tina Technology through fundraising as well as demand protection from either the SEC.  

Explanation:

The following were all those requirements:

The Crowdfunding framework encourages eligible organizations to deliver as well as sell entrepreneurship security.

The principles mandate all transactions together underneath the Crowdfunding Legislation to take place online by an SEC-registered representative, whether through a distributor provider or via a fundraising access.Control the amount that individual financial professionals will impose on certain cryptocurrency donations over a term of one year. For even the most portion, insurance purchased through a crowdfunding marketplace will not be traded once per season. General guide Crowdfunding donations rely on exclusion structures for "troublemakers".

Jefferson Company has sales of $300,000 and cost of goods available for sale of $270,000. If the gross profit ratio is typically 30%, the estimated cost of the ending inventory under the gross profit method would be:________.A. $60,000B. $180,000C. $30,000D. $90,000E. $120,000

Answers

Answer:

A. $60,000

Explanation

Calculation for what the estimated cost of the ending inventory under the gross profit method would be

First step is to calculate the Gross profit

Gross profit= $300,000 *30%

Gross profit= $90,000

Second Step is to calculate the cost of goods sold

Cost of goods sold=$300,000-$90,000

Cost of goods sold= $210,000

Last step is to calculate the estimated cost of the ending inventory under the gross profit method

Using this formula

Estimated cost of the ending inventory=

Cost of goods available for sale- Cost of goods sold

Let plug in the formula

Estimated cost of the ending inventory=$270,000-$210,000

Estimated cost of the ending inventory=$60,000

Therefore the estimated cost of the ending inventory under the gross profit method would be $60,000

How did the Medici get around the usury laws?

Answers

Answer:

they were very large nd rich family.so they used foreign exchange rate to make money

they were very rolarte and rich family
hope i helped :)

Organization ________ refers to the formal arrangement of roles, responsibilities, and relationships within an organization.

Answers

Answer:

A) structure

Explanation:

The organization structure is the structure where the arrangement of the rule, roles, responsibilities, relationships in a formal way could be done in an organziations.

It tells the way to accomplish the goals and the objectives of the company

Therefore according to the given situation, the option A is correct

hence, the same is to be considered

A partially amortizing mortgage is made for $180,000 for a term of 30 years. The borrower and lender agree that a balance of $40,000 will remain and be repaid as a lump sum at that time. If the interest rate is 6.50%, what must the monthly payment be over the 30 year period?

a. $1,101.56
b. $1,137.72
c. $5,285.36
d. $11,700.00

Answers

Answer:

Monthly payment= $1,137.8

Explanation:

Giving the following information:

PV= 180,000

n= 30*12= 360

i= 0.065/12= 0.005417

To calculate the monthly payment, we need to use the following formula:

Monthly payment= (PV*i) / [1 - (1+i)^(-n)]

Monthly payment= (180,000*0.005417) / [1 - (1.005417^-360)]

Monthly payment= $1,137.8

Sarah's dog had purebred puppies that she decided to sell on www.puppyfind.com. She ships them using an airline. If a puppy dies and the buyer decides to sue, who can he sue?


Sarah

the sole proprietorship

the airline carrier

all of the above

Answers

Answer:

The buyer should sue the airline carrier

Explanation:

Because it is the airlines job to make sure that the puppy are safe and health

Bumble Bee Co. had taxable income of $7,000, tax depreciation of $5,000, book depreciation of $2,000, and accrued warranty expense of $400 on the books although no warranty work was performed. What is Bumble Bee's pretax accounting income?

Answers

Answer:

$9,600

Explanation:

Calculation for Bumble Bee's pretax accounting income

Using this formula

Pretax accounting income=Taxable income-Accrued warranty expense+(Tax depreciation-Book depreciation)

Let plug in the formula

Pretax accounting income=$7,000-$400+($5,000-$2,000)

Pretax accounting income=$7,000-$400+$3,000

Pretax accounting income=$9,600

Therefore Bumble Bee's pretax accounting income will be $9,600

Calculate ending inventory and cost of goods sold at March 31, using the specific identification method. Date Transactions Units Unit Cost Total Cost March 1 Beginning inventory 20 $ 250 $ 5,000 March 5 Sale ($400 each) 15 March 9 Purchase 10 270 2,700 March 17 Sale ($450 each) 8 March 22 Purchase 10 280 2,800 March 27 Sale ($475 each) 12 March 30 Purchase 9 300 2,700 $ 13,200

Answers

Answer:

the information regarding the sales was missing, so I looked for similar questions:

The March 5 sale consists of bikes from beginning inventory, the March 17 sale consists of bikes from the March 9 purchase, and the March 27 sale consists of four bikes from beginning inventory and eight bikes from the March 22 purchase.

Date Transactions Units Unit Cost Total Cost

March 1 Beginning inventory 20 $ 250 $ 5,000

March 5 Sale ($400 each) 15

March 9 Purchase 10 270 2,700

March 17 Sale ($450 each) 8

March 22 Purchase 10 280 2,800

March 27 Sale ($475 each) 12

March 30 Purchase 9 300 2,700 $ 13,200

Cost of good sold under specific identification:

March 5 sale = $250 x 15 = $3,750

March 17 sale = 8 x $270 = $2,160

March 27 sale = 12 x $280 = $3,360

total COGS = $9,270

Ending inventory = $13,200 - $9,270 = $3,930

Monetary policy is linked to fiscal policy when government spending is financed by:_____.a) taxes. b) borrowing from banks. c) borrowing from foreigners. d) printing money.

Answers

Answer:

d) printing money.

Explanation:

Fiscal policy in economics refers to the use of government expenditures (spending) and revenues (taxation) in order to influence macroeconomic conditions such as Aggregate Demand (AD), inflation, and employment within a country. Fiscal policy is in relation to the Keynesian macroeconomic theory by John Maynard Keynes.

For instance, measuring the time between when a fiscal policy is implemented and when the people feel its impact in the society refers to a lag.

A fiscal policy affects combined demand through changes in government policies, spending and taxation which eventually impacts employment and standard of living plus consumer spending and investment. Monetary policy affects the money supply in an economy, which then creates an impact on interest rates and the inflation rate.

Additionally, a stimulative fiscal policy when combined by the government with a restrictive monetary policy will result in an increase in the interest rates.

Hence, a monetary policy is linked to fiscal policy when government spending is financed by printing money because the printing of money would significantly increase the circulation of money or money supply and most likely result in inflation.

In wisely planning for your retirement, you invest $12,000 per year for 20 years into a 401k account. How much will you be able to withdraw each year for 10 years, starting one year after your last deposit, if you can earn a real return of 10% per year and the inflation rate averages 2.8% per year?

Answers

Answer:

Annual withdraw= $173,483.28

Explanation:

The real rate of return is the result of deducting from the nominal rate the inflation rate.

First, we will determine the nominal rate of return:

Nominal rate= 0.10 + 0.028= 0.128

Now, we need to calculate the value of the investment at the time of retirement:

Annual deposit= $12,000

Interest rate= 0.128

Number of periods= 20 years

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

FV= {12,000*[(1.128^20) - 1]} / 0.128

FV= $948,935.34

Finally, the annual withdrawal:

Annual withdraw= (FV*i) / [1 - (1+i)^(-n)]

Annual withdraw= (948,935.34*0.128) / [1 - (1.128^-10)]

Annual withdraw= $173,483.28

what is the effect of a "payment on account" by the business and by the

customer

Answers

Answer:

The Effect of a "Payment on Account"

By the Business:  

The payment reduces the balance of the Accounts Payable.  A current liability is reduced while cash is also reduced by an equal amount.

By the Customer:

The payment reduces the balance of the Accounts Receivable.  One current asset is reduced and a current asset (cash) is increased by an equal amount.

Explanation:

"Payment on account" represents settlement of liabilities by the business or the customer.  When the business settles its liability, there is an outflow of cash.  When a customer settles its liability to the business, there is an inflow of cash to the business.

Leaf's Paper Company is planning to launch a new notebook product that is water resistant. The company wants to sell 30,000,000 of the new notebooks next year and wants to know what trial rate is required to achieve this goal. The market research group forecasts an awareness rate of 78% and an ACV% of 51%. Of those that try the product by purchasing 1 notebook, 21% will repurchase 5 notebooks per year. There are 200,000,000 notebook consumers in the target market. Total fixed costs to Leaf Paper Company to manufacture this new notebook are $11,000,000, with variable costs of $2.56 per notebook. What trial rate is required to achieve the company's goal?

Answers

Answer:

7.5%.

Explanation:

This question can be solved by using the formula below;

The trial rate is required to achieve the company's goal = ( number of new notebooks that the company wants to sell the following year) ÷ awareness rate × units per trial × ACV × number in target market.

From the Question above, we have the following information which is going to be slot in to the formula above and use in solving this question;

=> The number of new notebooks that the company wants to sell the following year = 30,000,000.

=> The awareness rate = 78%.

=> ACV% = 51%.

=> The percentage of people that will repurchase 5 notebooks per year = 21%.

=> The total number of notebook consumers in the target market = 200,000,000 .

=>'' The Total fixed costs to Leaf Paper Company to manufacture this new notebook = $11,000,000''

=> The variable costs per Notebook = $2.56.

Thus, slotting in the values respectively, we have;

Trial rate = 30,000,000 ÷ (0.78 × 5 × 0.51 × 200,000,000).

Trial rate = 0.07541478129713423.

Thus, 0.07541478129713423 × 100 = 7.5%.

Trial rate = 7.5%.

For each of the following situations, identify (1) the case as either (a) a present or a future value and (b) a single amount or an annuity, (2) the table you would use in your computations (but do not solve the problem), and (3) the interest rate and time periods you would use. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.) a. You need to accumulate $10,000 for a trip you wish to take in four years. You are able to earn 8% compounded semiannually on your savings. You plan to make only one deposit and let the money accumulate for four years. How would you determine the amount of the one-time deposit? b. Assume the same facts as in part (a) except that you will make semiannual deposits to your savings account. What is the required amount of each semiannual deposit? (Round your answer to 2 decimal places.) c-1. You want to retire after working 40 years with savings in excess of $1,000,000. You expect to save $4,000 a year for 40 years and earn an annual rate of interest of 8%. Will you be able to retire with more than $1,000,000 in 40 years?

Answers

Answer:

a. The present value of a future value of $10,000 is $7,310.

b. The present value of an annuity for a future value of $10,000 is $1,043.54.

c. Yes, you will retire with $1,036,226.07 .

Explanation:

a) Data and Calculations:

Future value = $10,000

Interest - 8% compounded semiannually

Period of investment = 4 years

Using the present value table, the discount factor of 0.731, the future value of $10,000 is $7,310

b) You will need to contribute $1,043.54 at the beginning of each period to reach the future value of $10,000.00.

FV (Future Value) $10,000

PV (Present Value) $7,306.90

N (Number of Periods) 8.000

I/Y (Interest Rate) 4.000%

PMT (Periodic Payment) $1,043.54

Starting Investment $0.00

Total Principal $8,348.30

Total Interest $1,651.70

c)  $1,000,000 in 40 years:

FV (Future Value) $1,036,226.07

PV (Present Value) $47,698.45

N (Number of Periods) 40.000

I/Y (Interest Rate) 8.000%

PMT (Periodic Payment) $4,000.00

Starting Investment $0.00

Total Principal $160,000.00

Total Interest $876,226.07

QUESTION 11
Which of the following is not a type of ethics theory?
O Deontology
O Utilatrianism
Behaviorism
Moral Realitism

Answers

Deontology is not an ethics theory, it is the study of the nature of duty and obligation.

The term that does not belong to  type of ethics theory is Deontology.

The Bioethics can be regarded as a term that is used in explaining some disciplines such as;

medical ethics animal ethicsenvironmental ethics.

Examples of types of ethic theory are;

UtilatrianismBehaviorismMoral Realitism

Therefore, Deontology does not belong to  type of ethics theory.

Learn more about ethics theory at;

https://brainly.com/question/4207376

What records will appear for a left outer join with a primary table called OrderItems and a foreign table called Orders?

all Orders records
all OrderItems records
only matching OrderItems records
all of the Orders and OrderItems records

Answers

Answer:

All orderitems records

Explanation:

Answer:

all OrderItems records

Explanation:

Red and White Company reported the following monthly data:Units produced $2,000 unitsSales price $25 per unitDirect materials $1 per unitDirect labor $2 per unitVariable overhead $3 per unitFixed overhead $8,000 in totalWhat is Red and White's net income under variable costing if 980 units are sold and operating expenses are $12,000?A. $(1,380)B. $(2,000)C. $2,700D. $6,620E. $10,620

Answers

Answer:

A. $(1,380)

Explanation:

The computation of the net income under the variable costing is shown below:

Net Income /(loss) = Sales Revenue - Variable cost - Fixed overhead - Operating expenses

 = (980 × $25) - (980 × $6) - $8,000 - $12,000

= $24,500 - $5,880 - $8,000 - $12,000

= ($1,380)

Hence, the correct option is A. ($1,380)

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Donna runs an inn and charges $300 a night for a room, which equals her cost. Sam, Harry, and Bill are three potential customers willing to pay $500, $325, and $250, respectively. When the government levies a tax on innkeepers of $50 per night of occupancy, Donna raises her price to $350. The deadweight loss of the tax is:________

a. $25
b. $50
c. $100
d. $150

Answers

Answer:

a. $25

Explanation:

According to the given situation, the computation of deadweight loss of the tax is shown below:-

Deadweight Loss = 1 ÷ 2 × 1 × ($350 - $300) = 1 ÷ 2 × ($50)

Or, Deadweight Loss = 1 ÷ 2 × ($50)

Or,  Deadweight Loss = $25

Therefore the correct option is a. $25

We simply considered the above values so that the deadweight loss of the ta could come

The deadweight loss of the tax is :

According to the given situation, the computation of deadweight loss of the tax is shown below:-

Deadweight Loss = 1 ÷ 2 × 1 × ($350 - $300) = 1 ÷ 2 × ($50) Deadweight Loss = 1 ÷ 2 × ($50) Deadweight Loss = $25

The deadweight loss of the tax is $25.

Thus, the correct answer is a.

Learn more :

https://brainly.com/question/14630562?referrer=searchResults

The trial balance of a company included the following account balances: Cash, $25,000, Short-Term Investments, $10,000, Accounts Receivable, $40,000, Inventory, $90,000, and Prepaid Insurance, $12,000 its quick assets totat a) $35,000 b) $125,000 c) $75,000 d) $165,000 e) $50,000

Answers

Answer:

$75,000

Explanation:

The trail balance of a company include the following

Cash of $25,000

Short term investments of $10,000

Account receivable of $40,000

Inventory of $90,000

Prepaid insurance of $12,000

Therefore it's quick assets Total can be calculated as follows

=account receivable + cash + short term investments

= $40,000+$25,0000+$10,000

= $65,000+$10,000

= $75,000

Which of the following is an advantage of self-employment?
A. Control over time
B. Long hours
C. Risk of failure
D. Legal issues
Please select the best answer from the choices provided
А.
B
OOOO
с

Answers

A control over time bc you make your own hours since it’s your own business

Answer:

A. Control over time

Explanation:

I just took the test, and that was the correct option :)

Other Questions
GIVING BRAINLYYY Use the general trends of the periodic table to answer the following question.Platinum (Pt) and gold (Au) are sometimes called noble metals because they are less reactive than other metals. Based on this evidence and the periodic table, which other element is likely to be less reactive? After traveling for 4 hours and 1800 miles, an airplane begins a steady descent. When it begins descending, its altitude (height) is 33,000 feet. After 8 minutes, it is at 17,000 feet. Answer the questions to write a function that models the plane's altitude. what is the cash crop of mountain region ?? Ramon has been appointed the manager of a retail store. He wants to bring the store into the modern era and direct its future by utilizing the latest trends in visual merchandising. What can Ramon do to achieve this? Create a proportion using the form = to represent the following word problem.What is 60% of 20? gasoline is separated from crude oil by heating it until it reaches it's boiling point. which separation method is used? Rhyme Scheme and Rhythm in a Sonnet by William ShakespeareInstruction ActiveUDetermining Central IdeasTry itRead the second quatrain of "Sonnet 73." and thenanswer the questionsIn me thou seest the twilight of such day,As after sunset fadeth in the west,Which by and by black night doth take away,Death's second self that seals up all in rest.- "Sonnet 73,"William ShakespeareWhat is the best paraphrase of these lines?What is the central idea of these lines? Which of the following materials would probably be used as a conductor of electric current in a computer chip?A rubberB. glassc. plasticD. gold What are reeking hands and whose hands were they? What is the slope of the line that passes through (2, 4) and (3, 7) ? A.9/ 7 B. 11/ 5 C. 3 D. I don't know. [PICTURE ATTACHED] HHEELLPPPbtw look at both of the pics Is there another way to convert fractions to decimals (explanation pls ) What electrically neutral atom has 30 neutrons and 25 electrons? -a^2b^2c^2(a+b-c) find the product Kara and her friends have $17 to spend at a pizza parlor.they would like to buy large pizza which costs $12 and then add as many toppings as possible if each topping (t) cost 50cents,which inequality describes the maximum number of toppings that the group can purchase? The force f of an object is calculated by multiplying its mass m with acceleration a. Rearrange the formula f = ma to make mass m the subject. 4. Verify that the functions fand g are inverses of each other by showing thatf(g(x)) = x and g(f(x)) = x. F(x)=2x-3/x+4g(x) = 3+4x/2-x If two objects of unequal mass collide, both objects will continue to move in the direction of __________.A.the smaller object's momentumB.the larger object's momentumC.the smaller object's resistanceD.the larger object's resistancePlease select the best answer from the choices provided.ABCD slope if (5,6) and (-7,5) Elena and Emmanuel live on the Black Sea in Bulgaria and own a small fishing boat. A crew of four is required to take the boat out fishing. The current wage paid to the four crew members is a total of 5,000 levs per day. (A lev is the Bulgarian unit of currency.) Assume that the cost of operating and maintaining the boat is 1,000 levs per day when fishing and zero otherwise. The following schedule gives the appropriate catch for each period during the year.a. What is the marginal product of a days worth of fishing during prime fishing season? during month 7? during month 8? b. What is the marginal cost of a kilogram of fish during prime fishing season? during month 7, during month 8, and during the rest of the year? c. If you were Elena and Emmanuel, how many months per year would you hire the crew and go out fishing? Explain your answer using marginal logic.