This question examines the market for mangos. You will use a demand function to construct the demand schedule, calculate the price elasticity of demand at different points along a linear demand curve, and identify the likely effects of price changes on total revenue.
Below, you are provided with the demand function for mangos. If you plug any price into the formula for the demand function, you get the quantity demanded at that price.
Q = 150 – 25P
Task 1. Use the table below to find the quantity of mangos demanded at each price.
Price Quantity of Mangos Demanded
$1
2
3
4
5
Task 2. Calculate the price elasticity of demand when the price falls from $5 to $4.
Task 3. When the price of a mango falls from $5 to $4, does total revenue fall or rise? How do you know?
Task 4. When the price of a mango falls from $3 to $2, does total revenue fall or rise?

Answers

Answer 1

Answer:

Task 1. Use the table below to find the quantity of mangos demanded at each price.

For a price of $1, the quantity demanded of mangos is:

Q = 150 - 25 ($1)

Q = 125

For $2:

Q = 150 - 25 ($2)

Q = 150 - 50

Q = 100

For $3

Q = 150 - 25 ($3)

Q = 150 - 75

Q = 75

For $4

Q = 150 - 25 ($4)

Q = 150 - 100

Q = 50

For $5

Q = 150 - 25 ($5)

Q = 150 - 125

Q = 25

Task 2. Calculate the price elasticity of demand when the price falls from $5 to $4.

The formula is

Price Elasiticy of Demand (PED) = ((Q2 - Q1) / (Q2 + Q1) / 2 ) / ((P2 - P1) / ((P2 + P1) / 2)

Now, we plug the amounts into the formula

PED = ((50 - 25) / (50 + 25) / 2) / ((4 - 5) / (4 + 5) / 2)

PED = 0.1666 / -0.0556

PED = -3

We take the absolute value, 3, which is a PED higher than 1, meaning that demand is elastic: the quantity demanded in this case increased more than the price.

Task 3. When the price of a mango falls from $5 to $4, does total revenue fall or rise? How do you know?

Revenue = Price x Quantity

Under the first scenario, revenue = $5 x 25 = $125

Under the second scenario, revenue = $4 x 50 = $200

So revenue increased by $75.

Task 4. When the price of a mango falls from $3 to $2, does total revenue fall or rise?

First scenario = $3 x 75 = $225

Second scenario = $2 x 100 = 200

So revenue actually falls by $25.


Related Questions

q Conflict Consequences 2 Difference between critical and Creative thinking. 3. Positive Use & Teisure time 41m Portance & Self Identity Svalues associated with creative Thinking​

Answers

Critical thinking involves analyzing and evaluating information, while creative thinking involves generating new ideas and solutions. Positive use of leisure time includes engaging in activities that promote personal well-being, learning, self-improvement, socializing, and exploring new experiences.

Difference between critical and creative thinking:

Critical thinking is a cognitive process that involves analyzing and evaluating information or arguments in a logical and systematic manner. It focuses on objective analysis, reasoning, and problem-solving. Critical thinking requires the ability to question assumptions, recognize biases, and assess evidence to form well-reasoned judgments or decisions.

On the other hand, creative thinking involves generating new ideas, insights, or solutions. It is a process of divergent thinking, breaking away from conventional thoughts and exploring alternative perspectives.

Creative thinking often involves combining different ideas, making connections, and thinking outside the box. It encourages imagination, flexibility, and the ability to embrace uncertainty.

While critical thinking aims to assess and evaluate existing information or arguments, creative thinking aims to generate new possibilities or approaches. Critical thinking seeks to analyze and deconstruct, while creative thinking seeks to synthesize and construct.

Positive use of leisure time:

Leisure time refers to the period when individuals are free from work or other obligations and can engage in activities of their choice. Positive use of leisure time involves engaging in activities that contribute to personal well-being, growth, and fulfillment. Here are some examples:

Pursuing hobbies and interests: Engaging in activities such as painting, playing a musical instrument, gardening, or sports can provide relaxation, personal enjoyment, and a sense of accomplishment.

Learning and self-improvement: Using leisure time to learn new skills, read books, take online courses, or engage in personal development activities can enhance knowledge, broaden perspectives, and foster personal growth.

Physical and mental well-being: Allocating leisure time for exercise, meditation, yoga, or other wellness activities promotes physical fitness, reduces stress, and enhances overall well-being.

Socializing and building relationships: Spending leisure time with family, friends, or participating in community activities helps foster social connections, build relationships, and strengthen support networks.

Exploring new experiences: Traveling, visiting museums, attending cultural events, or trying new cuisines broadens horizons, provides exposure to different cultures, and creates memorable experiences.

For more such question on information. visit :

https://brainly.com/question/24553900

#SPJ8

Pumpkin Spice Latte fanatics could be considered a(n) __________ of coffee enthusiasts.

Answers

Question Completion:

2. Pumpkin Spice Latte fanatics could be considered a(n) __________ of coffee enthusiasts.

a. reference group

b. subculture

c. social class

d. opinion leader

Answer:

Pumpkin Spice Latte fanatics could be considered a(n) __________ of coffee enthusiasts.

a. a reference group

Explanation:

In Sociology, other people who are not fanatics of Pumpkin Spice Latte (PSL fanatics as they are known) can use the PSL to compare their coffee drinking habits.  This means that the Pumpkin Spice Latte fanatics become a comparative reference group for any person who intends to do such relationship comparison.  Therefore, the PSL is regarded as aa group for self-evaluation.

which of these can be listed as benefits of filing your tax return online

Answers

These can be listed as benefits of filing your tax return online

1. Faster processing and refund
2. Easier to ensure accuracy
3. Ability to track your return
4. Ability to store a copy of your return
5. Ability to make payments electronically

What is tax return?
The completion of a tax return is the documentation that determines the amount of income earned by an entity or individual and the taxes that must be paid to the government as well as government organisations, or, potentially, back to the taxpayer. One of the largest sources of revenue for the government is taxation. Direct and indirect taxes both make up a portion of overall tax revenue. Tax revenue is the money the government receives from levies on things like earnings, profits, goods and services, land revenue, property ownership and transfers, and other taxes. The total amount of tax revenue expressed as a share of GDP demonstrates the portion of national output that is taken in by the government through taxation.

To learn more about tax return
https://brainly.com/question/27300507
#SPJ4

What scenario shows the best time to "play it safe" in investing because the law of diminishing returns is against the investor?




A Your children are 5 and 3 and you are in middle management in your company and you have extra money to invest for college funds.Your children are 5 and 3 and you are in middle management in your company and you have extra money to invest for college funds.


B You are 65 and have retired from your career and are looking at a very long and happy life of traveling and good times.You are 65 and have retired from your career and are looking at a very long and happy life of traveling and good times.


C You are 5 years from retirement and your friend knows a "sure" investment that will more than triple your retirement account.You are 5 years from retirement and your friend knows a "sure" investment that will more than triple your retirement account.


D You just hit a big jackpot in Las Vegas and decide to put it all back into another game to double your return.

Answers

The scenario that shows the best time to "play it safe" in investing because the law of diminishing returns is against the investor is option D: You just hit a big jackpot in Las Vegas and decide to put it all back into another game to double your return.

In this scenario, the investor has already experienced a significant gain by hitting a big jackpot in Las Vegas. However, investing the entire amount back into another game with the intention of doubling the return poses a high level of risk. The law of diminishing returns suggests that as an investment or activity continues, the incremental return or benefit diminishes over time. By putting all the winnings back into another game, the investor is exposing themselves to unnecessary risk. Instead, it would be wiser to consider diversifying the investment portfolio, preserving a portion of the winnings, and adopting a more conservative approach. This helps to protect the gained wealth and potentially generate more stable, sustainable returns in the long run. Hence the correct answer in Option D. you just hit a big jackpot in Las Vegas and decide to put it all back into another game to double your return.

for more questions on investing
https://brainly.com/question/29547577
#SPJ11

the difference between the 3 basic communication models

Answers

Answer:

The linear communication model is a one-way interaction where feedback is not present. Linear is the primary communication model, whereas the transactional model is formed based on the linear model. The sender communicates with the receiver without receiving feedback.

Explanation:

If the equilibrium price for tickets to a a Lady Antebellum concert is $100 each and they sell them for $85,

Answers

Answer: you save $15

Explanation: 100-85 is 15 and the tickets are selling for $85 instead of original price

Explanation:

The cost of an items is 200. what will be the cost of 50 such. write a simple program

C. Imagine you Deposit K10, 000 every six months for the next five years at an interest rate of 10% per annum. You would want to know what this value will be at the end of the period.
Required:

i. Using simple interest (5 Marks)
ii. Using compounded interest (5 Marks)
iii. If the deposits were made at the beginning of every six months (5 Marks)
iv. If the deposits were made at the end of every six months (5 Marks

Answers

i) Using simple interest, if the deposits were made at the beginning of every six months, the ending (future value) would be K127,500.

ii) Using simple interest, if the deposits were made at the end of every six months, the ending (future value) would be K122,500.

iii) Using compounded interest, if the deposits were made at the beginning of every six months, the ending (future value) would be K132,067.87.

iv) Using compounded interest, if the deposits were made at the end of every six months, the ending (future value) would be K125,778.93.

What differentiates simple interest from compound interest?

The difference between simple interest and compound interest is that simple interest is only based on the principal.

On the other hand, compound interest computes interest on both the principal and accumulated interest.

Simple Interest (Deposits at Beginning):

Period  Principal     Interest      Balance

1            K10,000       K500      K10,500 (K10,000 + K500)

2            20,000       1,000        21,500 (K10,500 + K10,000 + K1,000)

3            30,000       1,500       33,000

4            40,000      2,000      45,000

5            50,000     2,500       57,500

6            60,000     3,000       70,500

7            70,000     3,500       84,000

8            80,000    4,000       98,000

9           90,000     4,500      112,500

10        100,000     5,000     127,500

Simple Interest (Deposits at Ending):

Period  Principal     Interest      Balance

1            K10,000       K0           K10,000

2            20,000       500        20,500 (K10,000 + K10,000 + K500)

3            30,000       1,000       31,500

4            40,000       1,500      43,000

5            50,000     2,000      55,000

6            60,000     2,500      67,500

7            70,000     3,000       80,500

8            80,000    3,500       94,000

9           90,000     4,000     108,000

10        100,000     4,500     122,500

Compound Interest at Ending:

N (# of periods) = 10 (5 x 2)

I/Y (Interest per year) = 10%

PV (Present Value) = K0

PMT (Periodic Payment) = K10,000

Results:

FV = K125,778.93

Sum of all periodic deposits = K100,000 (K10,000 x 2 x 5)

Total Interest = K25,778.93

Compound Interest at Beginning:

N (# of periods) = 10 (5 x 2)

I/Y (Interest per year) = 10%

PV (Present Value) = K0

PMT (Periodic Payment) = K10,000

Results:

FV = $132,067.87

Sum of all periodic deposits = K100,000 (K10,000 x 2 x 5)

Total Interest = K32,067.87

Learn more about simple interest and compound interest at brainly.com/question/3402162

#SPJ1

I need help on creating my resume. I’m a high schooler currently in the 11th grade. I haven’t won any awards here at my high school, but I have won awards in the past like in middle school and elementary school. Can I include some of them on to my resume? Please help!!


Awards that I have won are mvp (middle school) leadership (elementary)

Answers

To create an effective resume, you must explain your educational and professional experiences. If you are still a student looking for your first professional opportunity, a good way to attract the attention of recruiters is to include your awards won in the educational environment on your resume.

How to create a good resume?

Some tips can be important for you to create an attractive resume. It's always good to align your experiences with the area you want to compete in, that is, include courses, extra curricular experiences and awards that have to do with the field of work that interests you. Other important tips are:

Keep your CV objective and conciseReview your personal dataHighlight your personal achievementsBe honest about the information providedInclude your volunteer work

Therefore, for a student to create an effective curriculum, the inclusion of awards and achievements from student life will attract the attention of the recruiter by showing interest, dedication and perspectives of the candidate, being a great opportunity to win a job.

Find out more about resume here:

https://brainly.com/question/14218463

#SPJ1

A negative cash flow to owners indicates that a firm has ________. Question 3 options: borrowed more money. sold additional shares of stock. incurred net losses and is facing financial distress. issued dividends while maintaining a constant number of outstanding shares of stock

Answers

Answer: Issued dividends while maintaining a constant number of outstanding shares of stock

Explanation:

A negative cashflow is meant to indicate that cash has left the company. If this is in relation to the owners then it either means that the company has repurchased shares or paid out dividends.

From the options, the correct answer would be that the company issued dividends while maintaining a constant number of outstanding shares of stock. This would be reflected in the Financing section of the Cashflow statement.

what is an an intrinsic reward?

Answers

An intrinsic reward is an internal reward that employees achieve from completing their tasks or projects successfully. These rewards are mostly psychological and are based on the effort and abilities of a person

Caleb wants to start a business in the health and wellness industry, but before taking the time and effort to create this business, he should know how this business sector has recently performed and where it is headed. Basically, Caleb needs to educate himself on _____.
Group of answer choices

industry trends

marketing materials

tax practices

Human Resources

_____ accountants prepare financial information for people who are both inside and outside the company to assess if the company is performing well.
Group of answer choices

Inspection

Quarterly

Financial

Managerial

If Cameron prepares information—such as reports on costs and operations—for the use of employees only, what type of accountant is he?
Group of answer choices

Managerial

Financial

Tax-specific

Educational

Jonathan and his partner Drew understand they need to create a document to address stipulations for working with their vendors who supply building materials and home decor staging products for their home show. While drafting a contract, what key principles should Jonathan and Drew remember?
Group of answer choices

Professional representation; legal structure

Exchange of value; offer and acceptance

Legal structure; exchange of value

Offer and acceptance; professional representation

Answers

In order to know how the business has performed recently, Caleb should educate himself on industry trends.

Financial accountants prepare financial information for people who are both inside and outside the company.

If Cameron prepares information for employees only, the type of accountant he is Managerial accountant.

The key principles that Jonathan and Drew should remember are Exchange of value; offer and acceptance.

What should Caleb do?

It would be best if Caleb was knowledgeable about the business he wants to go into so that he can know if he can make a profit of a loss from the industry. He should therefore try to learn about the trends in the industry.

What type of accountants are there?

Financial accountants are those who prepare the financial statements of a company according to known accounting standards such as IFRS and U.S. GAAP because these statements will be used by people both inside and out of the company.

Management accountants on the other hand, make reports that help employees make decisions about the company and are not meant for external stakeholders.

Find out more on management accounting at https://brainly.com/question/21597572

#SPJ1

On June 1, Sheridan Company Ltd. borrows $162,000 from Acme Bank on a 6-month, $162,000, 4% note. The note matures on December 1.
(a)Prepare the entry on June 1. (Credit account titles are automatically indented when amount is entered. Do not indent manually.)
(b) Prepare the adjusting entry on June 30. (Credit account titles are automatically indented when amount is entered. Do not indent manually.)
(c) Prepare the entry at maturity (December 1), assuming monthly adjusting entries have been made through November 30. (Credit account titles are automatically indented when amount is entered. Do not indent manually.)
(d) What was the total financing cost (interest expense)?

Answers

a) The journal entry on June 1 for Sheridan Company Litd. is as follows:

Journal Entry:

June 1:

Debit Cash $162,000

Credit Note Payable (Acme Bank) $162,000

b) The adjusting entry on June 30 is as follows:

Adjusting Journal Entry:

June 30:

Debit Interest Expense $540

Credit Interest Payable (Acme Bank) $540

c) The journal entry at maturity on December 1 is as follows:

Journal Entry:

December 1:

Debit Note Payable (Acme Bank) $162,000

Debit Interest Payable (Acme Bank) $3,240

Credit Cash $165,240

d) The total financing cost (interest expense) was $3,240.

What does the finance cost mean?

The finance cost refers to the interest expense that Sheridan Company Ltd. must pay to Acme Bank for using the credit from the 4% note.

Data and Calculations:

Note Payable = $162,000

Interest rate = 4%

Maturity period = 6%

Monthly finance cost = $540 ($162,000 x 4% x 1/12)

Total finance cost = $3,240 ($162,000 x 4% x 6/12)

Thus, the finance cost is computed as the principal multiplied by 4% multiplied by 6/12 months.

Learn more about making journals and adjusting entries at https://brainly.com/question/13035559

#SPJ1

In the context of automation strategy, what is a Center of Excellence?

Answers

includes the people, processes, and technology necessary to maximize the benefits of automation, including robotic process automation. It is crucial to finding new automation opportunities, scaling your automation within the organization, and carrying out a long-term vision

Help? Its for personal finance.

Help? Its for personal finance.

Answers

Answer:

it's the bottom right

Explanation:

since the groceries have the biggest number it should have the biggest piece and that is the only one that has groceries as the biggest piece of the chart

It’s the bottom I think

A ________ is the cost of transmitting a news product to each consumer Group of answer choices head count cost shot cost unit cost delivery cost

Answers

Answer:

Delivery cost

Explanation:

Delivery cost is defined as the amount that is used to transmit a product from the manufacturer to the consumer.

Delivery cost is made up of the following.

- Manufacturing cost which is the cost incurred from the production plants to packaging in units. This is then introduced to the distribution chain.

- Product supply expense is mostly administrative cost incurred for purchase of materials, engineering, and development.

- Product logistics cost is one that is incurred from the time a product enters the distribution chain till it gets to the consumer

What is the main reason why empathy is important for communication?

Answers

Answer:

it means you can understand what a person is feeling in a given moment, and understand why other people's actions made sense to them. Empathy helps us to communicate our ideas in a way that makes sense to others, and it helps us understand others when they communicate with us.

Analyze this sample W-2 and answer the questions that follow.

Analyze this sample W-2 and answer the questions that follow.

Answers

When this form is sent to Lily by the end of January, she will use it to c. File her income taxes

What is the W-2 form?

The W-2 form is a form that is sent to all employees and the Internal Revenue Service by the employers.

The intent of this form is to declare the annual wages of the employee and the taxes that they are meant to pay to the government. This is why the form is sent to Lily at the end of January and she will use it to file her income tax.

Learn more about the W-2 Form here:

https://brainly.com/question/1530194

#SPJ1

Complete Question:

1. This form will be sent to Lily by the end of January. She will use this W-2 form to...

a.Obtain employment

b.Receive her paycheck

c.File her income taxes

d.Begin her retirement savings

Select the correct answer. How does insurance protect a policyholder against financial loss? A. by allowing the policyholder to make premium payments B. by allowing the policyholder to make a claim for reimbursement C. by allowing the policyholder to avoid maintenance costs for the insured items D. by allowing the policyholder to pay for all the losses

Answers

Answer:

by allowing the policyholder to make premium payments

Explanation:

Answer:

B. by allowing the policyholder to make a claim for reimbursement

Explanation:

Took the test on plato 100% right

Which of the following costs is an example of product costs? A. selling commissionsB. nonfactory office salariesC. direct materialsD. advertising expense

Answers

Answer:

C

Explanation:

Product cost is the total cost expended in creating a product. They include direct labour, direct materials, production supplies, and factory overhead.

For example to produce a pencil, some of the product cost would include :

the wages of labour employed the raw materials used to make the pencil

What is it called when a person's behavior in the workplace creates circumstances that make it difficult for someone else of a particular sex to do his or her work?

Answers

Discrimination because they are making it difficult for someone else of particular sex to do his/her work.

What amount must be set aside now to generate payments of $30,000 at the beginning of each year for the next 11 years if money is worth 5.95%, compounded annually? (Round your answer to the nearest cent.)

Answers

The amount that must be set aside in the present, to generate payments of $30, 000 for the next 11 years is  $251,326.61

How to find the amount to set aside?

The $30, 000 generated each year is an annuity which means that the amount to be set aside today is the present value of the annuity.

Because the payments come at the beginning of the year, this is an annuity due which means that we are looking for the present value of an annuity due.

This present value can be found as:

= Annuity amount x Present value of annuity due factor, 11 years, 5.95%

= 30, 000 x 8.38

= $251,326.61

Find out more on payments at https://brainly.com/question/18881415

#SPJ1

what are other information that should be included in the deposit and withdrawal forms?​

Answers

Answer:

account number needed , name of bank, withdrawing needs pin e.t.c

For each of the accounts noted below, indicate where on the Statement of Cash Flows a change would be shown.
Note: Simply type ONE of the following words into each blank:
OPERATING
INVESTING
FINANCING

Accounts Receivable ___________

Property, Plant and Equipment _______________

Inventory ______________

Prepaid Expenses ___________________

Unearned Revenue ______________

Bonds _______________

Answers

A current liability account is accounts payable. current liabilities and current assets alter throughout time. The statement of cash flows provides an explanation of how changes to the balance sheet during an accounting period effect cash.

A financial statement known as a cash flow statement offers total information on all cash inflows and outflows that a company experiences. When compared to cash flows from prepaid assets and collected revenues, decreases in current assets indicate reduced net income. Because this increase in inventory is viewed as a cash outflow, it is deducted from net income. For accounts receivable, the situation is identical. Operating activities, investment activities, and financing activities are used to categorize and present cash flows.

To learn more about OPERATING INVESTING FINANCING from given link

brainly.com/question/11017355

#SPJ1

What kind of business can you start without start up capital?​

Answers

Answer:

Blog or Vlog

Explanation:

you can start a daily life Blog in social media.

HELP HELP HELP 10 POINTS!!!!!!!!!!!!!! PICTURE PROVIDED!!!!!

HELP HELP HELP 10 POINTS!!!!!!!!!!!!!! PICTURE PROVIDED!!!!!

Answers

consumable
Services
Durable

how will you react to the following destroying or removing information that could hurt your company if it fell into the wrong hands.

Answers

I will say it is crucial to prioritize ethical behavior and transparency. Instead of destroying or removing information, we should focus on implementing robust security measures to safeguard sensitive data.

How can we protect sensitive information from unauthorized access?

Protecting sensitive information from unauthorized access is essential for companies to maintain trust with their stakeholders. Instead of resorting to destroying or removing information, it is more beneficial to invest in robust security measures.

By implementing strong encryption, access controls, and regular security audits, we will significantly reduce the risk of sensitive data falling into the wrong hands. Also, fostering a culture of responsible data handling and training employees on best security practices can further enhance the overall protection of company information.

Read more about Confidentiality

brainly.com/question/29417102

#SPJ1

In a personal budget, which of the following is considered to be a fixed expense? A. Dinner at a restaurant B. A movie Ticket C. A personal trainer D. Apartment rent

Answers

Answer: Personal Trainer

Explanation: It's a personal budget.

difine the benefit of work schedule​

Answers

Explanation:

25 25uedniaaaaaaaaaaaaaaaaaaaaaa

Because of their sharp quality text output and fast printing speeds, ___ printers are often preferred by businesses.

Answers

Answer:

Laser printer

Explanation:

Laser printers are quicker than inkjet printers (producing more pages per minute), generate higher-quality output (with some limitations), and are better suited for high-volume production. Laser printers produce significantly finer lines than inkjet printers, making them ideal for text, logos, and corporate information graphics.

If the federal government wants to encourage businesses and consumers to spend more money, it wo
A)
increase the tax rate.
B)
decrease the tax rate.
C)
increase the reserve requirement.
Eliminate
D)
decrease government spending on goods and services.
Fearing a recession the government decide

Answers

Answer:

B) decrease the tax rate.

Explanation:

Decreasing taxes results in individuals and businesses paying lower taxes to the government. Reducing taxes increases the amount of disposable income available to individuals and firms. Therefore, a decrease in taxes will have the same effects as an increase in income. Households and firms will have more money available for spending.

Decreasing taxes is one way the government may use to encourage increased spending. On the other hand, an increase in taxes results in lower disposable income for people and firms.  A decrease in government spending results in fewer jobs available, which reduces incomes and consumer spending.

Other Questions
What is the area of the triangle shown below? Uranus has a force of Gravity of 8.87 m/s^2. Sam has a MASS of 85 kg. What is his weight in Uranus? * plz help me I need help how do i raise the power to a power? im so confused What is the equation of the line in y=mx+b format? Consider the function f(x)=10x-x. What type of function is f? Group of answer choices a linear function. an exponential function. a quadratic function. a logarithmic function. Which of the following would be the BEST title for this word web (oval A)?a.Immigration to the United Statesb.Patterns of City Settlement within the United Statesc.The Settlement House Movementd.Push and Pull FactorsPlease select the best answer from the choices providedABCD Name & explain the properties of water Please help me, anyone???? According to Robert Sternberg, when two people share a loving, sexually vibrant, long-term relationship, this is called __________. after hitler occupied most of france, the remainder of the country became The probability of getting one head is Find the volume of the following cylinder in CENTIMETRES CUBED.radius=0.5mHeight=5m What expression is equivalent to x2 - 49?O A. (x-772O B. (x + 7)2O c. (x + 7)(x-7)OD. (x + 7) (7 - x)PLEASE HELP PLZ HELP ILL GIVE BRAINLEISTWord Count: of 125Write a paragraph using at least three idioms. (1) It is observed that the decrease in the mass of a radioactive substance over a fixed time period is proportional to the mass that was present at the beginning of the time period. If the half-life of radium is 1600 years, find a formula for its mass as a function of time. (2) Suppose the constant sum T is deposited at the end of each fixed period in a bank that pays interest at the rate r per period. Let A(n) be the amount accumulated in the bank after n periods. (a) Write a difference equation that describes A(n). (b) Solve the difference equation obtained in (a), when A(0) = 0, T = $200, and r = 0.008. (3) Let S(n) be the number of units of consumer goods produced for sale in period n, and let T(n) be the number of units of consumer goods produced for inventories in period n. Assume that there is a constant noninduced net investment Vo in each period. Then the total income Y(n) produced in time n is given by Y(n) = T(n) +S(n) + Vo. Develop a difference equation that models the total income Y(n), under the assumptions: (i) S(n) = 3Y(n-1), (ii) T(n) = 2Y(n-1)-6Y(n-2) and solve it. (4) Solve above problem with variable noninduced net investment Vo= 2n +3" methylation is decreasing transcription rates. where are those methyl tags likely to be most prevalent? Softening of water is the application of What caused the sharp increase of troop involvementshown on the graph?a. Vietnam gained independence and the war began.b. President Johnson was assassinated.c. The Gulf of Tonkin Resolution was passed.d. People began volunteering to go to war in largenumbers. what is your reply in Spanish. (please put it in English gust in case.)"plz be friends?"