if d varies directly as t and d = 20.5 when t=12 find:(a) the value of the constant (b) the relationship between d and t (c) the value of d when t =6.​

Answers

Answer 1

Answer:

(a) [tex]k=\frac{41}{24}[/tex]

(b) [tex]d=\frac{41}{24} t[/tex]

(c) [tex]d=\frac{41}{4}[/tex]

Explanation:

As d varies directly as t,

[tex]d=kt[/tex]

Here, k is a constant.

(a)

Put [tex]d=20.5\,,\,t=12[/tex]

[tex]20.5=12k\\\\k=\frac{41}{24}\\\\k= 1.71[/tex]

(b)

Put [tex]k=\frac{41}{24}[/tex] in [tex]d=kt[/tex]

[tex]d=\frac{41}{24} t[/tex]

(c)

Put [tex]t=6[/tex] in [tex]d=\frac{41}{24} t[/tex]

[tex]d=\frac{41}{24} (6)\\\\d=\frac{41}{4}[/tex]


Related Questions

Akram owns a small farm. He employs 80 workers in the field and has recently hired a manager to help him manage the farm. The income of the business varies greatly during the year. The farm makes a small profit but Akram is ambitious. He wants to take over a neighbour’s farm and increase the range of crops he sells. He thinks that he needs long-term finance and plans to take out bank loan to pay for the takeover. He has already borrowed money to buy a new tractor. A friend has advised him to form a company and sell shares.
1. Identify two types of short term finance t Akram could use when farm income is low?

Answers

Explanation:

calvin female is will dang barn Mann a can me wondering

During the 1990s, consumers started to drink bottled water instead of soft drinks. The Coca-Cola Company and PepsiCo decided to change their product lineup to include water products, indicating on the part of both companies.

Answers

Answer:

Strategic Flexibility

Explanation:

The strategy of developing a bottle water product line up shows strategic flexibility by Coca-Colca and PepsiCo.

It shows that these two beverages giants are not static, and instead, they adapt to market and cultural trends. When the market trend showed that people were flocking to bottle water from soft drinks, they decided to compete directly against bottle water producers by developing their own bottle water products.

What is moral myopia? Why do you think an advertising professional might experience this phenomenon?

Answers

Answer: See Explanation

Explanation:

Moral myopia occurs when someone is unable to clearly see ethical issues. In this case, people decide not to say anything even though they see the unethical behavior of others.

An advertising professional might experience moral myopia in the sense that such person looks away when he or she sees an unethical act because of fear of losing his or her job and also because of fear of losing a customer.

Southwestern Bank offers to lend you $50,000 at a nominal rate of 6.9%, compounded monthly. The loan (principal plus interest) must be repaid at the end of the year. Woodburn Bank also offers to lend you the $50,000, but it will charge an annual rate of 8.1%, with no interest due until the end of the year. How much higher or lower is the effective annual rate charged by Woodburn versus the rate charged by Southwestern?a. 1.68% b. 1.98% c. 2.08% d. 1.78% e. 1.88%

Answers

Answer:

0.98%

Explanation:

Note: Options provided is slightly different for this question

EAR = (1+APR/m)^m - 1  

EAR = (1+0.069/12)^12 - 1

EAR = (1.00575)^12 - 1

EAR = 1.07122449517 - 1

EAR = 7.12%

Hence, higher EAR  charged by Woodburn versus the rate charged by Southwestern = (8.1% - 7.12%) = 0.98%

What does it mean to say that a "business" has responsibility?

Answers

Answer:

They can operate a business however they choose, but it must be fair and right to society.

Explanation:They must keep their hours everyday, fair prices, etc

Identify and explain three functions of the Managing Director.

Answers

Answer:

Developing and executing the company's business strategies.

Providing strategic advice to the board and chairperson.

Preparing and implementing comprehensive business plans to facilitate achievement.

Explanation:

the value of 4 + -3 take away negative 7 is ​

Answers

Answer:

-6

Explanation:

1-7 =-6

PLEASE HELP!!!!!! Click this link to view O*NET’s Wages and Employment section for Farmworkers and Laborers, Crop.


According to O*NET, what is the projected growth for this career between 2019–2029?


slower than average

decline

little or no change

average

Answers

Answer:

average

Explanation:

Between 2019 and 2029, this career's anticipated growth is ordinary.  Thus, option (D) is correct.

What is growth?

The term "growth" describes an increase in the size and mass of an organ or a body. Cell division and an increase in intracellular material are the usual mechanisms. Development is the maturing of an organism's physiological and functional systems.

The rate of the projected growth of something based on information presently available: One of the few significant commodity firms with a forecasted growth rate of up to 14% is the company.

Therefore, Thus, option (D) is correct.

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what professional advice is peter seeking?
Peter wants to buy office space for his new business. However, he’s not sure if the current market is suitable for Brian property. Hence he consulted his ______ agent for advice.

Answers

Peter is consulting someone who sells commercial real estate. Peter wants to make sure he’s in a good place business wise and that it is the best time before he makes the purchase for a new building. By consulting the agent, he can get a better understanding of when the right time to purchase will be.

Rachel lives and works on her father's dairy farm as a large animal veterinarian. The farm does not

employ any outside workers. One of the cows is having a difficult time delivering her calf. As Rachel approaches to help, the cow kicks wildly breaking Rachel's arm. Is Rachel covered under the OSH Act?

Yes, because Rachel's injury is job-related.

Yes, because Rachel works for her father and is not self-employed.

No, because Rachel is an immediate family member employed on her father's farm.

No, because Rachel's family farm does not employ outside workers.

Answers

Answer:

No, because Rachel's family farm does not employ outside workers

Explanation:

No, because Rachel's family farm does not employ outside workers. Under the OSH Act since Rachel's family does not employ outside workers they are not seen as an official business and therefore are not protected under the act. The workers on the farm are not seen as employees but instead family members helping one another and acting as co-owners of the farm. Therefore, the act does would not provide any coverage to Rachel in this scenario.

Which is the best description of how a scholarship differs from a federal education grant?

Federal grants are awards that don’t have to be repaid, but students must pay back any scholarships they receive.
Federal grants can be awarded for various reasons, but scholarships are always based on a student’s financial need.
Scholarships are awards that do not have to be repaid, but students must pay back any federal grants they receive.
Scholarships can be awarded for various reasons, but federal grants are usually based on a student’s financial need.

Answers

Grants and scholarships are supposed to be the first funding source for a higher education because they come with no interest rate or pay back stress that comes with other source of funding.

How a scholarship differs from a federal education grant?

Correct option is D.

A federal grant is a trophy/award of assistance financially from a federal agency to a person to take out a purpose of support authorized by a law by the U.S.

The amount of federal grant money going to states has steadily increased since the 1960s.

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state 3 typical land uses in rural-urban fringe​

Answers

Answer:

The urban-rural fringe contains a mixture of land use. this includes residential areas, recreational facilities such as golf courses and farming. These areas tend to contain areas of better quality housing. Gardens and houses are larger due to lower land values and more open space.

Answer:

The urban-rural fringe contains a mixture of land use. this includes residential areas, recreational facilities such as golf courses and farming. These areas tend to contain areas of better quality housing. Gardens and houses are larger due to lower land values and more open space.

Explanation:

HOPE IT HELPS YOU .....

y'all know how to do this??

Answers

2 | march 21st | water bill | -65.39 | n/a | 569.12

Explanation:

You take the information for each deposit/payment, fill out the date, what it was, the amount given/lost, and then add/subtract from the balance of the last addition.

Answer:

2    -65.39  n/a  569.12

Explanation:

Aptitudes might take years of training.


True

False

Answers

Answer:

true

Explanation:

Answer:

The correct answer is False

Explanation:

Got it right on the quiz.

If you were a business owner, which of these would be important to you (making money or public safety)?

Answers

both would be important to me

Question 5 of 10

Which economic effect does a central bank hope to achieve by selling large

amounts of treasury securities?

A. It hopes to lower interest rates on banks and other private lenders.

OB. It hopes to reduce the amount of money available for lending,

C. It hopes to encourage businesses to hire more employees.

D. It hopes to encourage banks to increase their reserve rate.

SUBMIT

Answers

Answer:

It hopes to reduce the amount of money available for lending.

Explanation:

Skills are abilities that you naturally have.


True

False

Answers

Answer:

False

Explanation:

Skilles = the ability to do something well; expertise.

False.skills are something you have to learn in order to have the ability to do

One column of numbers consists of 28,42, and 14. When the digits of the numbers are added together, the result is 2+8+3+2+1+4+4=21, and when the digits of 21 are then added together, the end result is 2+1=3. If the same process is performed on the numbers in a second column, what can be concluded?

Answers

Answer:

D. If the end result from the second column is not 3, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column.

Explanation:

From the list of given options (see the comment section for options a - d), option (d) is correct.

To answer this question, we need to analyze each of the options

For (a):

The sum of numbers in both columns may be equal even if they are different.

Take for instance, the numbers in the second column is: 82, 42 and 14.

We have:

[tex]8+2+4+2+1+4=21[/tex]

[tex]2 + 1 = 3[/tex]

So, (a) is incorrect

For (b):

As shown in (a) above,  

If both column contain the same numbers, then definitely the end result will be the same. So option (b) is incorrect and impossible

For (c):

This is not true.

In the first column, we have the sum of the first process to be 21 which ends up giving 3 (i.e. 2 + 1 = 3).

The result of the second column can be 12 which also gives 3 i.e. 1 + 2 = 3 (and 12 is not equal to 21)

So, (c) is also incorrect

For (d):

This is the only true option

If the end result is not three, then the results of the first process is not the same for both columns.

Answer:

If the end result from the second column is not 3 then the sum of the numbers in the first column is not equal to the sum of the numbers in the second colemn

Explanation:

For me it was B but read very closly

Where would the equllbrillim price be located, and how much is the equllbrillim price?

Answers

ANSWER:

Hindi ko Kaya anong grade po ba iyan

Answers:

The equilibrium price is located at the intersection of the supply and demand curves.The equilibrium price is $8

=============================================================

Explanation:

Visually, the two curves cross at (x,y) = (60,8) where x is the quantity and y is the price. This is known as the equilibrium.

In the third row of each table, we have the same pair of values $8 and 60 in that exact order. This leads to finding the equilibrium without using the graph.

Something like the first row wouldn't work because the first table shows $2 and 10, while the second table has that same row showing $12 and 10. There isn't a match.

----------------------------------

Extra info (optional section)

If the price is below equilibrium, then suppliers don't have much incentive to produce. This means they'll produce less. At the same time, demand will increase since price and quantity demanded go in opposite directions. Having more people demand for something that's in short supply is known as a shortage. Think of a bunch of people at a mall and there's a mad rush for one very rare item. If people really wanted that item, then they'll outbid each other to raise the price until it reaches some stable point. This idea is applied on a much larger scale.

If the price is above equilibrium, then suppliers will produce too much goods and demand will be lower. In this case, we have surplus and that will lower the cost of the goods eventually assuming there aren't external forces to keep the price afloat. The price will eventually drift down to equilibrium. An example could be that a store has too many coats and it's getting closer to the warmer spring weather, so they heavily discount the coats. Low demand on the large supply of coats lowers the price of those items.

As you can see, the equilibrium price is effectively a game of tug-of-war between the suppliers and consumers (those who demand and purchase a product). It's the middle ground, so to speak, between the two parties.

Prompt
What is the difference between liquid and illiquid assets?

Answers

Answer:

Liquid assets may be cash or property that can readily be converted to cash without a substantial loss in value. While on the other hand, Illiquid or fixed assets are possessions of value that are held long-term such as a home, land or equipment.

Hope this helps

Answer:

Liquid assets may be cash or property that can readily be converted to cash without a substantial loss in value. ... Illiquid or fixed assets are possessions of value that are held long-term, such as a home, land, or equipment

Explanation:

I think it will help But if im wrong Its ok:)

what objects are necessary for the formation of shadows ?​

Answers

Answer:

The following three things are required for a shadow to form:

a source of light.

an opaque object.

a screen or surface behind the object.

why drill should be performed in single beat?​

Answers

Answer:

Once your body gets used to a certain movement your muscle are ready for it just about everyday. If you dont do it all at once then you wont be getting all the stuff that you want.

Explanation:

Which of the following statements is TRUE? A. The longer you use credit responsibly, the higher your credit score will be. B. People with low credit scores are usually low-risk borrowers. C. Paying off your entire credit card balance can lower your credit score. D. Applying for several credit cards in one year can increase your credit score.​

Answers

Answer:

Aaaaaaaaaaa

it's the answer for this question because

Option A is true.

Does your credit score go up the more you use it?

The financial world calls this credit utilization. Every step over that 30% utilization mark has a negative impact on your score. That is true even if you make your required payments each month.

What happens to your credit score if you use a high of your credit limit?

You might even see your credit score drop due to the increased balance on your card. If you make too many over-limit charges, your credit card issuer could close your credit account. Here are the most common consequences associated with spending over your credit limit: Your credit card could be declined.

Learn more about credit scores here https://brainly.com/question/23024185

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Type the correct answer in the box. Spell all words correctly.
Which type of facility layout groups similar machines together so that they carry out specific functions?

In the case of a (blank) layout, similar machines are grouped together to carry out specific functions.

Answers

Answer:

A process layout groups similar activities together according to the functions they perform.

Explanation:

Answer:

process

Explanation:

Plato/Edmentum

what is the consumer credit act

Answers

The Consumer Credit Act is protections to apply between agreements between traders and individuals, sole traders, partnerships and unincorporated associations. But not agreements made between traders and bodies.

What is stock? Explain in your own words.

Answers

Answer:Definition: What are stocks? Stocks are securities that represent an ownership share in a company. For companies, issuing stock is a way to raise money to grow and invest in their business. ... When you own stock in a company, you are called a shareholder because you share in the company's profits.

Explanation:

g Suppose the own price elasticity of demand for good X is -3, its income elasticity is 2, and the cross price elasticity of demand between good X and Y is -5. Determine how much the consumption of this good will change if: 1. The price of good X increases by 5% 2. The price of good Y increases by 12%

Answers

Answer:

Sry, I can't understand anything at all!

A borrower is faced with choosing between two loans. Loan A is available for $75,000 at 6 percent interest for 30 years, with 6 points to be included in closing costs. Loan B would be made for the same amount, but for 7 percent interest for 30 years, with 2 points to be included in the closing costs. Both loans will be fully amortizing.


a. If the loan is repaid after 20 years, which loan would be the better choice?

b. If the loan is repaid after 5 years, which loan would be the better choice?

Answers

Answer:

a) loan A is a better choice

b) loan B is a better choice

Explanation:

the monthly payment of loan A = $449.66

present value of loan A = ($75,000 x 6%) + $75,000 = $79,500

the monthly payment of loan B = $498.98

present value of loan B = ($75,000 x 2%) + $75,000 = $76,500

the difference between monthly payments = $498.98 - $449.66 = $49.32

if we calculate the present value of 20 years paying $49.32 more it is:

PV = $49.32 x 139.58077 (PV annuity factor, 0.5%, 240 periods) = $6,884 which is higher than the difference

if we calculate the present value of 5 years paying $49.32 more it is:

PV = $49.32 x 51.72556 (PV annuity factor, 0.5%, 60 periods) = $2,551 which is lower than the difference

cornelius vanderbilt made his fortune in what industry?

Answers

The Railroad industry!! :)

Three boys step off together from the same spot. Their steps measure 63 cm, 70 cm
and 77 cm respectively. What is the minimum distance each should cover so that all​

Answers

Answer:

Minimum distance walked y the three boys is 6930 centimeter

Explanation:

Complete Question

Three boys step off together from the same spot. Their steps measure 63 cm, 70 cm  and 77 cm respectively. What is the minimum distance each should cover so that all​ can cover the distance in complete steps

Solution

The LCM of the size of the steps of the three boys will give the minimum distance that each should cover so that all​ can cover the distance in complete steps

LCM of 63 cm, 70 cm  and 77 cm will be 2*3*3*5*7*11

= 6930 centimeter

Hence, minimum distance walked y the three boys is 6930 centimeter

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