The rate at which revenue was generated​ (in millions of dollars per​ year) for a certain company for the years 2010 through 2016 can be approximated by ​f(t)=348e0.22t ​(10≤t≤​16), where t=10 corresponds to the start of the year 2010. Find and interpret ∫1016f(t)dt.

Answers

Answer 1

The revenue of a company represents the income generated by the company within a time frame. The total revenue generated by the company from the start of 2010 to the start of 2016 is $39.16 billion

Given that:

[tex]f(t) = 348e^{0.22t}[/tex]  [tex]10 \le t \le 16[/tex]

First, we calculate the integral

[tex]\int\limits^{16}_{10} {f(t)} \, dt[/tex]

This is calculated as:

[tex]\int\limits^{16}_{10} {f(t)} \, dt = \int\limits^{16}_{10} {348e^{0.22t}} \, dt[/tex]

Remove the constant

[tex]\int\limits^{16}_{10} {f(t)} \, dt = 348\int\limits^{16}_{10} {e^{0.22t}} \, dt[/tex]

Now, integrate

[tex]\int\limits^{16}_{10} {f(t)} \, dt = 348 \times \frac{1}{0.22} (e^{0.22t})|\limits^{16}_{10}[/tex]

[tex]\int\limits^{16}_{10} {f(t)} \, dt = \frac{ 348}{0.22} (e^{0.22t})|\limits^{16}_{10}[/tex]

Expand

[tex]\int\limits^{16}_{10} {f(t)} \, dt = \frac{ 348}{0.22} (e^{0.22\times 16} -e^{0.22\times 10} )[/tex]

[tex]\int\limits^{16}_{10} {f(t)} \, dt = \frac{ 348}{0.22} (e^{3.52} -e^{2.2} )[/tex]

[tex]\int\limits^{16}_{10} {f(t)} \, dt = \frac{ 348}{0.22} \times 24.759[/tex]

[tex]\int\limits^{16}_{10} {f(t)} \, dt = 39164.2[/tex]

From the question

[tex]t = 10[/tex] represents the start of 2010.

This means that

[tex]t = 16[/tex] represents the start of 2016.

So, the interpretation is:

The total revenue from the start of 2010 to the start of 2016 is $39.16 billion

Read more about revenues at:

https://brainly.com/question/376674


Related Questions

Prepare a cash budget for the Ace Manufacturing Company, indicating receipt and disbursement for May, June and July. The firm wishes to maintain all times a minimum cash balance of $20,000. Determine whether or not borrowing will be necessary during the period, and if it is, when and for how much. As of April 30, the firm had a balance of $20,000 in cash.

Actual sale
January $50,000 February $50,000 March $60,000 April $60,000
Forecasted sale
May $70,000 June $80,000 July $100,000 August $100,000
- Account receivable: 50% of total sale are for cash in current month. The remaining 50% will be collected equally during the following two month.
- Cost of goods sold: 80% of sale. 75% of this cost is paid the following month.

- Selling, general, and administrative expense: $10,000 per month plus 10% of sale. All of these expenses are paid during the month of incurrence.
- Interest payment: A semiannual interest payment on $150,000 of bonds outstanding for a year is paid during July and December. An annual $50,000 sinking fund payment is also made in August.
- Dividend: A $10,000 dividend payment will be declare and made in July.
- Capital expenditure: $40,000 will be invested in plant and equipment in June.
- Taxes: Income tax payment of $1,000 will be made in July

Answers

Answer:

i don't know i fell extremly sorry

At which restaurant are you more likely to receive excellent service (according to Online Reviews, where a rating of 5 or higher represents excellent service)

Answers

the one with 5 stars

A new trailer worth $10,000 is purchased and it's expected that the salvage value after 13 years will be $480. If the annual interest rate is 4.20% , what equation would be appropriate to use to determine the Expected Uniform Annual Cost (EUAC)

Answers

The equation that is used to determine the Expected Uniform Annual Cost is :

[tex]$A = P(A/P, i,n) - F(A/F, i,n)$[/tex]

It is given that :

Purchased price of a new trailer = $ 10,000

Number of years = 13 years

The salvage value after 13 years = $480

The rate of interest annually = 4.20%

The Estimated Uniform Annual Cost, that is the EUAC method is used to express the life cycle costs as the annualized estimate of the cash flow rather than a lumpsum estimate of the present value.

In other words, it is the annual cost of a system which is equal or equivalent to the discounted total cost.

So the equation that can be used to express the Expected Uniform Annual Cost in the given problem is :

[tex]$A = P(A/P, i,n) - F(A/F, i,n)$[/tex]

Learn more :

https://brainly.in/question/3218541

justify that business is an integral part of human activity​

Answers

Answer:

Business is a source of resources to people enabling them to live.

The nation of Ectenia has 20 competitive apple orchards, which sell apples at the world price of $2 per apple. The following equations describe the production function and the marginal product of labor in each orchard:

Q= 100L -L^2
MPL 100-2L

where Q s the number of apples produced in a day, L s the number of workers, and MPL is the marginal product of labor. Now, suppose the price of apples is back at $2 per apple, but a hurricane destroys half the orchards so only 10 orchards remain. Recall that each orchard's labor demand as a function of the daily wage is L 50-0.25W.

Required:
What is the market's labor demand?

Answers

The  market's labor demand is L=500−2.5W

Since labor demand as a function of the daily wage is L 50-0.25W.

Hence,

The individual labor demand curve is: L=50−0.25W

Now let determine The market labor demand curve

The market's labor demand is :

L=10(50−0.25W)

L=500−2.5W

Inconclusion The market's labor demand is L=500−2.5W

Learn more about market's labor demand here:

https://brainly.com/question/13540328

An increase in real GDP can shift:______.
A. money demand to the left and decrease the equilibrium interest rate.
B. money demand to the right and increase the equilibrium interest rate.
C. money demand to the left and increase the equilibrium interest rate.
D. money demand to the right and decrease the equilibrium interest rate.

Answers

C is the right answer for

Which of the following is the least effective action individuals and families can take to protect the environment? Limiting the number of children they have Monitoring and enforcing regulations Choosing products and services from green companies Educating themselves on community and global environmental issues

Answers

Answer:

Monitoring and enforcing regulations.

Mark me as Brainliest if this answer helped

To ensure that a borrower is not using short-term bank credit to finance a part of its permanent needs for funds, banks often require borrowers to clean up their short-term loans for a 30-45 day period during the year.

a. True
b. False

Answers

True I’m maybe wrong but ye I think it’s true

You purchased six call option contracts on ABC stock with a strike price of $32.50 when the option was quoted at $1.65. The option expires today when the value of ABC stock is $34.60. Ignoring trading costs and taxes, what is the net profit or loss on this investment

Answers

Answer:

$270

Explanation:

Calculation to determine the net profit or loss on this investment

Using this formula

Total profit/Loss =Stock value -Strike price-Option quoted)×100×Call option

Let plug in the formula

Total profit = ($34.60 - $32.50 - $1.65) × 100 × 6

Total profit =$0.45×100×6

Total profit= $270

Therefore the net profit on this investment is $270

Need help with number 5

Answers

Answer:

sorry it took me so long i totally forgot to answer

Explanation:

From what Sarah is doing we can conclude that she is performing a job analysis.

Given that she is observing and trying to learn about requirements of this job.

When performing a job analysis, the analyst is trying to get relevant information about the details of a job as well as the requirements of the job.

Job analysis are carried out most of the time to determine job placements.

In conclusion We can see this from what Sarah is doing, she is observing and asking questions on what the job entails in order to write a description for the job.

Avia Company sells a product for $150 per unit. Variable costs are $110 per unit, and fixed costs are $1500 per month. The company expects to sell 660 units in September. The unit contribution margin is ________.

Answers

Answer:

"$40 per unit" is the right solution.

Explanation:

Given:

Selling price per unit,

= $150

Variable cost per unit,

= $110

Fixed costs per month,

= $1500

The unit contribution margin will be:

= [tex]Selling \ price - Variable \ cost[/tex]

= [tex]150-110[/tex]

= [tex]40[/tex] ($) per unit

A company has four vendors and the accounts payable subsidiary ledger shows the following balances.

Alpha $286,821
Beta 148,474
Gamma 81,943
Delta 41,187

Required:
Calculate the accounts payable balance in the general ledger.

Answers

The accounts payable balance in the general ledger , given the four vendors of the company in the accounts payable subsidiary ledger , is  $ 558, 425

How to find the accounts payable balance ?

The accounts payable balance in the general ledger refers to the total of all the accounts payable balances from the accounts payable subsidiary ledger .

This means that the accounts payable balance in the general ledger can be found by the formula :

= Alpha vendor + Beta vendor + Gamma vendor  + Delta vendor

Alpha Vendor =  $ 286, 821

Beta vendor = $ 148, 474

Gamma vendor = $ 81, 943

Delta vendor = $ 41, 187

The accounts payable balance in the general ledger is :

= 286, 821 + 148, 474 + 81, 943 + 41, 187

= 558, 425

= $ 558, 425

Find out more on the accounts payable balance at https://brainly.com/question/17408770

#SPJ1

Tái chế không phải 1 phương pháp hoàn hảo để giải quyết vấn đề ô nhiễm mt

Answers

Answer:

ý thức về việc xả rác, ngưng xả rác , bỏ rác đúng nơi quy định

Yield curves for corporate and government securities have similar shapes, but the corporate rates track below the government rates.

a. True
b. False

Answers

This answer is false

The answer is false mate.

hope it will help you.

(1 point)
1. Tim is a low-level supervisor, but he runs his department with a heavy hand. He directs his
employees to perform tasks in specific ways, and doesn't often listen to outside ideas. His own
supervisors have to repeatedly remind him not to make major decisions without consulting
them first. What type of authority is Tim attempting to practice?
O individualistic authority
O staff authority
O line authority
O functional authority

Answers

Answer:

a

Explanation:

he doesn't seek opinion from heads that's why

mark me as brainliest pls

Answer:

individualistic authority

Explanation:

Explain about pricing objectives

Answers

Answer:

Some examples of pricing objectives include maximising profits, increasing sales volume, matching competitors' prices, deterring competitors – or just pure survival. Each pricing objective requires a different price-setting strategy in order to successfully achieve your business goals

Answer:

Pricing objectives refer to the goals that drive how your business sets prices for your product or service. These objectives can and should apply to pricing for both new and existing customers. The direction provided by pricing objectives is crucial to adjusting prices over time in order to meet your objectives.

If you want to melt a rock, even partially, there are three methods you can employ. Which of the following is not a way that melting is triggered in rocks in the Earth?

a. adding water
b. adding heat
c. releasing pressure
d. removing water

Answers

Answer:

D

Explanation:

There are three basic ways that rocks melt to form the lavas that erupt from volcanoes: decompression, addition of volatiles, and conduction.

but the question asked "which of the following is NOT a way"I hope this helped! have a great day!

Select the statement below that is true of long run aggregate supply curves.

a. There is no relationship between price level and RGDP.
b. Changes in price level affect output.
c. There is a variable quantity of RGDP.

Answers

Answer:

There is no relationship between price level and RGDp

Answer:

(A) There is no relationship between price level and RGDP

Internet là một thị trường hiệu quả hay không hiệu quả về giá?

Answers

Answer:

net là một thị trường hiệu quả hay không hiệu quả

Explanation:

in a printing job, the cost of producing a thousand brochures was GH3500.The publisher decided to sell these brochures at 125% gross profit.How much shall he sell each brochure

Answers

1000 Brochures making cost = GH3500

Profit = 125%

= 125/100×3500

= 4375

Profit = 875

Each brochures = 4375/1000

= 4.375

Therefore each brochures will be sold at GH 4.375

Must click thanks and mark brainliest

Assume you are planning to invest $5,000 each year for six years and will earn 10 percent per year. Determine the future value of this annuity if your first $5,000 is invested at the end of the first year. $38,470 $38,578 $34,578 $35,878

Answers

The future value of this annuity is $38,578.

Calculation of the future value of this annuity is as follows:

The Future Value of Annuity is

= Annuity × [{(1+rate of interest)^number of years -1} ÷ rate of interest]

= $5,000 × [{(1+0.10)^6 -1} ÷ 0.10]

 = $5,000 × (1.771561 -1) ÷  0.10

= $38,578.05

Therefore we can conclude that the future value of this annuity is $38,578.

Learn more about the future value of this annuity here: brainly.com/question/13369387

The Whitmoer Co. is currently issuing both 20-year and 30-year bonds at par. The bonds pay 7 percent annual interest and have face values of $1,000. You decide to purchase one of each of these bonds and hold them for ten years. Assume that the yield to maturity on each of these bonds is 9.6 percent ten years from now.

Required:
a. Determine the expected price of each bond five years from now.
b. Given your results in a, determine the percent price appreciation on the 20-year bond and percent price appreciation on the 30-year bond. Which bond has a higher interest rate risk?

Answers

Answer:

3rwt4gw3g

Explanation:

You have a portfolio that is 29 percent invested in Stock R, 12 percent invested in Stock S, with the remainder in Stock T. The expected return on these stocks is 9.8 percent, 11.2 percent, and 13.5 percent, respectively. What is the expected return on the portfolio

Answers

Answer: 12.15%

Explanation:

The expected return is a weighted average of the returns of the individual stocks and the percentage of the portfolio invested in them.

= (Weight of R * Return of R) + (Weight of S + Return of S) + (Weight of T + Return of T)

= (29% * 9.8%) + (12% * 11.2%) + ( (1 - 29% - 12%) * 13.5%)

= 12.15%

Which one of the following is NOT included in the Marketing Mix?
Select one:
a. Promotion
b. Product
c. Distribution
d. Price
e. Personalization

Answers

C : Distribution is not included in the marketing mix

C . Or E. Distribution or personalization

b) Discuss the adjustment mechanism on real and good market in the economy from disequilibrium

Answers

Answer:

Disequilibrium refers to a situation in which demand does not equal supply. For example, the demand for a good might be 6, and the supply might be 10. The excess supply is 4. One possibility is that the excess supply causes the price of the good to fall, raising demand and reducing supply, and equilibrium results.

ls this your answer

How much does international trade affect you personally?

Answers

Answer:

maybe a lot for me ok

maybe you

chỉ số giá tiêu dùng

Answers

Lwnqbwbwhwhjwjwhwbwbwbw

Question 4 James Bennett also allocates wealth between youth and old age. He has no cash currently (in his youth), but will inherit $3000 in his old age. He can lend and borrow at the bank at 18% (that is, lending $1 in youth will give him $1.18 in old age). He has an investment opportunity that costs $12,000 now in his youth and has a payoff of $15,000 in his old age. This is the only investment opportunity available to him. What is the most he can consume in his youth

Answers

James Bennet needs us to locate investment opportunities for him.

James divides his fortune between youth and old age, as is shown to us. He is currently cashless.

He has access to bank borrowing and lending at 18%.

Some investment opportunities are presented to him.

Investing is the act of placing money into a bank, a piece of property, or a company.

Savings can also take the form of investments.

The most he should spend while still young is $15,254.23.

This calculation is displayed.

The future value is the present value times 1.18.

Future worth = $15,000 + $3,000

= $ 18,000

Therefore, the present value is equal to $18,000 divided by 1.18.

= $ 15, 254.23.

The value that represents today's value is referred to as present value.

Consequently, we might infer that the greatest amount is $15,254.23 that he can spend during his childhood.

Learn more about  present value here

https://brainly.com/question/26039180

#SPJ12

You sold ten put contracts on Cross Town Bank stock at an option price per share of $0.85. The options have an exercise price of $39 per share. The options were exercised today when the stock price was $34 a share. What is your net profit or loss on this investment assuming that you closed out your positions at a stock price of $34

Answers

Answer:

-$4,150

Explanation:

Calculation to determine your net profit or loss on this investment

Using this formula

Net profit/Loss=(Option price per share-Exercise price+Stock price)×100×10

Let plug in the formula

Net loss = ($0.85 - $39 + $34) × 100 × 10

Net loss =-$4.15×100×19

Net loss = -$4,150

Therefore your net loss on this investment is -$4,150

Local currency debt is valuable to the foreign subsidiary that has substantial local currency cash inflows from its business activities. It provides a foreign exchange financial hedge.

a. True
b. False

Answers

True I just took the test on edge and got 100
Other Questions
Solve.d+e= 2d-e = 4Use the substitution method.O There are an infinite number of solutions.O There is no solution.The solution is(3. 1).(5, 1)O The solution is what is the mass of 1 mole of chlorine ion Statement ReasonCheck Answers Sequence three probable steps of fossil fish formation? Cho hai in tr R1 = 12 v R2 = 18 c mc ni tip nhau. in tr tng R12 ca on mch c th nhn gi tr no trong cc gi tr Solve each inequality, and then drag the correct solution graph to the inequality. 8 meters for every 2inches what is the area of 144 meters squared write x-y in factorize form.write (p+p) in expanded form. PLZ HELP ME ASAP! Which statement explains this rise in the number of U.S. troops in Vietnam during the 1960s?During the 1960s, several Communist controlled nations joined the Vietnam War on the side of the Vietcong.Despite U.S. efforts, South Vietnam could not prevent a takeover by North Vietnam on its own.President Johnson worried that a small presence in Vietnam would encourage Soviet aggression in the region.Military commanders warned that a civil war would break out in Vietnam without a sizeable peacekeeping force in place. Tortillas are delicious round flatbreads made with cornmeal or wheat flour. Although they are most often used in tacos, enchiladas, and tostadas, tortillas can __________ any dish. If the purpose of this paragraph is to persuade readers to eat tortillas, which word or phrase best fits in the blank Rewrite the following sentence using an indirect object pronoun.La maestra dio un examen a nosotros.O La maestra nos dio un examen.O La maestra les dio un examen.La maestra nosotros dio un examen.O La maestra se dio un examen. Which of the following cell membranes is the most fluid?Membrane A, because it is composed of saturated fatty acids that have one or more cis bonds that form stable aggregationsMembrane A, because it is composed of saturated fatty acids that lack weak hydrogen bonds that continually break and reform to permit macromolecule movementMembrane B, because is it composed of unsaturated fatty acids that form weak covalent bonds at the site of their cis bonds, which permit easy movementMembrane B, because it is composed of unsaturated fatty acids that have one or more bends, which prevent tight packing Find the approximate side length of a square game board with an area of 145 in 2 Plz help! essay on contribution of Technology in education What is a statement you can make about the land of regions near the Mediterranean Sea Order each set of numbers from least to greatest1.[tex]\sqrt{200}[/tex], 14, [tex]\frac{41}{3}[/tex] Factor the polynomial x^2+9x+8 using the pattern x^2+(a+b)x+ab=(x+a)(x+b) Factorize (x-3y)^3+27y^3With explanation Will mark Brainliest for the best one... Write a paragraph about the importance of a community work in which you want to be involved in. find the surface area of the composite figure. answer asap please :)