Investor deposits the amount of $1 million in his/her bank account. If the reserve ratio requirement is 10%:
How much the bank has in excess reserves?
What is the money multiplier of this deposit?
If the investor decided to keep 20% of his/her deposit in cash, what impact this will have on money supply? What is the value of the multiplier?

Answers

Answer 1

If the investor deposits $1 million in their bank account and the reserve ratio requirement is 10%, we can calculate the excess reserves and the money multiplier as follows:

Excess Reserves:The reserve ratio requirement is 10%, which means the bank must hold 10% of the deposit as reserves. Therefore, the bank must keep $100,000 (10% of $1 million) as required reserves
Impact on Money Supply:If the investor keeps 20% of their deposit in cash, only 80% of the $1 million will be deposited into the bank:Amount deposited = 80% of $1,000,000 = 0.80 * $1,000,000 = $800,000Since the bank is required to hold 10% of the deposit as reserves, the required reserves would be:Required Reserves = 0.10 * $800,000 = $80,000The excess reserves would be:Excess Reserves = $800,000 - $80,000 = $720,000The impact on money supply is the difference between the initial deposit and the amount held as reserves:

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Related Questions

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Did you eat today? if you haven't please find something to eat and take care of yourself :)

Answers

Answer: yes! Aww thanks, you too :))

Explanation: have a great day!!

Answer:yes i did thank you for caringgggggggggg have a good day^.^

Explanation:

the net effect of most of franklin roosevelt's early foreign policy moves was that

Answers

The net effect of most of Franklin Roosevelt's early foreign policy moves was to remove the United States from a position of isolationism and to actively intervene in global affairs.

Franklin D. Roosevelt was the United States' thirty-second president. Before he became president in 1933, the United States had chosen to isolate itself from global events after World War I. Roosevelt was elected to three presidential terms and, with his New Deal and foreign policy interventions, transformed the role of the federal government during the Great Depression.

Roosevelt started taking a number of actions on foreign policy very early in his presidency. In 1933, he announced that the United States would cease participation in the London Economic Conference and seek to increase trade outside of Europe. He also recognized the Soviet Union in 1933 and extended diplomatic recognition to the Communist government.The United States would no longer be a country of isolationism as a result of Roosevelt's early foreign policy actions. As a result of Roosevelt's actions, the US would become increasingly engaged in global affairs, with Roosevelt at the helm.

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Which best describes the facilities involved in the Healthcare cluster?

Some facilities are privately owned, some are funded and run by the government, and some are run by nonprofit organizations.
Some facilities are privately owned businesses that are owned by people who want to make money, and some facilities are nonprofit hospitals.
Most facilities are funded by taxes and run by the government, while a small few are privately owned facilities run by people who want to make money.
Many facilities are nonprofit clinics with the rest of the facilities owned and operated by private individuals to make a profit.

Answers

Answer: (C) Most facilities are funded by taxes and run by the government, while a small few are privately owned facilities run by people who want to make money.

Answer:

C. government

You write a short story, but you want to make sure your work is protected before you post it online. What should you do to help protect your copyright? (Site 1)

Answers

Answer:

You can add the Copyright symbol. And write a notice below your work saying that if a person has to copy or copy-and-change your work, they should contact you or something. Make sure you leave you email [If you wanna.] And if you see your work any where else, just report the person or talk it out with them.

Explanation:

when accounting profits are positive, economic profits will be negative. will equal zero. must be positive. could be positive, negative or zero.

Answers

When accounting profits are positive, economic profits could be positive, negative, or zero.

Accounting profits only take into account explicit costs, such as explicit expenses and depreciation, while ignoring implicit costs, such as the opportunity cost of using resources in a particular venture. Economic profits, on the other hand, consider both explicit and implicit costs.

If economic profits are negative, it means that the business is not generating enough revenue to cover all costs, including both explicit and implicit costs. In this case, accounting profits may still be positive due to the exclusion of implicit costs from the calculation.

If economic profits are zero, it means that the business is earning enough revenue to cover all costs, including both explicit and implicit costs. In this scenario, accounting profits may or may not be positive, depending on the specific accounting practices and calculations used.

If economic profits are positive, it means that the business is earning revenue that exceeds both explicit and implicit costs. In this case, accounting profits are likely to be positive as well, but it is not necessary for them to be equal.

Therefore, accounting profits being positive does not necessarily imply that economic profits will be negative, zero, or positive. It depends on the specific circumstances and the inclusion of all relevant costs in the economic profit calculation.

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BRAINLIEST AND 130 POINTS

To be eligible for Bright Futures, you must
-be accepted to a public university anywhere in the US
-be accepted to a private university anywhere in the US
-earn a standard high school diploma or its equivalent
-earn a specific amount of part time income after school

jk about the points i just wanted attention but plz help

Answers

Answer:

C

Explanation:

it is c, you are required to have a high school diploma

What are factors that influence customer/client/business buying behavior

Answers

There are several factors that influence customer, client, or business buying behavior, including: Personal factors: Age, income, education, and personality can all affect a customer's purchasing decisions.

Psychological factors: Perception, motivation, learning, and beliefs can impact a customer's attitude towards a product or service.

Social factors: Family, friends, social groups, and cultural influences can all play a role in a customer's buying behavior.

Economic factors: Income level, availability of credit, and the overall state of the economy can influence a customer's ability and willingness to spend.

Organizational factors: A customer's buying behavior can be influenced by the type of organization they work for, the size of the organization, and the purchasing policies and procedures in place.

Marketing and advertising: The marketing mix, including product design,pricing, promotion, and place (distribution), can all impact a customer's buying decision.

Technological factors: Advances in technology can affect a customer's buying behavior by making new products and services available or by changing the way customers research and purchase products.

Legal and political factors: Government regulations, taxes, and laws can all impact a customer's buying behavior, as can broader political and legal trends such as trade agreements or changes in copyright law.

These factors can interact and overlap, and the relative importance of each factor will vary depending on the customer, the product or service being purchased, and the specific market and cultural context.

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can a 14 year old work? where?

Answers

Answer:

Yes!!

Explanation:

They can work at Chick-Fil-A!!

They can be a babysitter

wash cars

and more!

State 5 advantages and 5 disadvantages of trade union.

Answers

Answer:

Down below

Explanation:

Advantages: 1-Unions can bargain for higher wages. 2-Unions can represent workers. 3-A trade union can help a firm bring in new working practices. 4-Unions can help bring workers closer to management. The states higher wages increase motivation.

Disadvantages: 1-Unemployment. 2-cost push inflation. 3-Time lost to strike.

4-confrontation 5-Less relevant.

A written request to an insurance company to locate the status of an insurance claim is referred to as a/an

Answers

A written request to an insurance company to locate the status of an insurance claim is referred to as a claim status.

What is an insurance company?

An insurance company is a business organization that is established to receive premium from all of its customers (insured) for any losses which may or may not occur, so it can easily use this funds to compensate or indemnify for losses that are incurred by those having higher risk.

In financial accounting, a claim status is a terminology which is used to describe a written request by an insured or other service provider to an insurance company to locate the status of an insurance claim.

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from 1960 to 1970, the consumer price index (CPI) increased from 29.6 to 38.8 if a dozen tangerines cost 0.31 in 1960 and the price of tangerines increase at the same rate as the CPI from 1960 to 1970, approximately how much did a dozen tangerines cost in 1970

Answers

Answer: $0.41

Explanation:

A consumer price index measures the average price changes of goods that are bought by people in an economy. It shows the level of inflation in an economy.

To calculate the cost of a dozen tangerines in 1970we have to know the percentage increase in price index from 1960 to 1970 and this will be:

= [(38.8 – 29.6) / 29.6] × 100%

= (9.2 / 29.6) × 100%

= 31.08%

Let's represent the price of a dozen tangerines in 1970 by X and solve. This will be:

31.08 = (X - 0.31) × 100 / 0.31

Cross multiply

(31.08 × 0.31) = 100X - 31

9.6348 = 100X - 31

100X = 9.6348 + 31

100X = 40.6348

X = 40.6348 / 100

X = 0.46348

X = 0.41

Therefore, the cost of a dozen tangerines in 1970 is $0.41

Gerard Barron, the CEO of TMC (Th e Metals Company), stated about deep-sea mining, “We don’t have the luxury of saying ‘No’ to the ocean.” What do you suppose he means by this statement? Do you agree or disagree? Explain.

Answers

Deep-sea mining may start soon despite the fact that research indicates it could harm habitats or wipe out species. This is due to the depletion of terrestrial reserves and the increasing demand for metals.

What's the title of the company engaged in deep-sea mining?

Deep Sea Mine Campaign, Blue Marine Foundation, International Conservation, Ecologistas En Acción, Wildlife & Flora Worldwide, German NGO Forum on Development and the Environment, Goa Groundwork, Global Ocean Trust, and Greenpeace International are all members of the DSCC.

The technique of extracting mineral reserves from deep seabeds, or ocean depths below 200 metres, is known as deep-sea mining.

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What are the desired characteristics of a national strategy document How does the National Security Strategy of the United States of America (2017) address homeland security and homeland defense?

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The (NSS) of the United States of America (2017) addresses homeland security and homeland defense by prioritizing the protection of the American people, territory, and way of life acting in best interest of the people.

In the NSS, homeland security and homeland defense are recognized as critical components of national security. The document emphasizes the importance of protecting the American people from threats, both foreign and domestic, and ensuring the resilience of the homeland. It highlights the need for a whole-of-government approach, collaboration with state, local, tribal, and territorial partners, as well as engagement with the private sector and international allies.

Specifically, the NSS emphasizes the importance of countering terrorism, enhancing border security, preventing the entry of dangerous individuals and goods, safeguarding critical infrastructure, and strengthening cybersecurity. It recognizes the evolving nature of threats and the need to adapt and innovate in response. The document also highlights the role of intelligence, law enforcement, and emergency management agencies in coordinating efforts to protect the homeland.

Overall, the NSS (2017) underscores the significance of homeland security and homeland defense in ensuring the safety and well-being of the American people, while emphasizing collaboration, adaptability, and a comprehensive approach to address evolving threats.

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You are thinking of making an investment in a new factory. The factory will generate revenues of $1,000,000 per year for as long as you maintain it. You expect that the maintenance costs will start at $50,000 per year and will increase 5% per year thereafter. Assume that all revenue and maintenance costs occur at the end of the year. You intend to run the factory as long as it continues to make a positive cash flow (as long as the cash generated by the plant exceeds the maintenance costs). The factory can be built and become operational immediately and the interest rate is 6% per year. a. What is the present value of the revenues? b. What is the present value of the maintenance costs? c. If the plant costs $10,000,000 to build, should you invest in the factory? a. What is the present value of the revenues? The present value of the revenues is $. (Round to the nearest dollar.)

Answers

The investor should not invest in the factory.

Given data Revenue generated per year, r= $1,000,000 Maintenance cost at the end of the first year, C1 = $50,000 Increase in maintenance cost every year, g= 5%Interest rate per year, i= 6%Cost to build the plant, Co= $10,000,000.

To calculate-

a. Present value of the revenues

b. Present value of the maintenance costs.

c. Whether to invest in the factory or not Solutions

a. Present value of the revenues.The present value of the revenue generated every year can be calculated using the formula, PV= r / (1 + i)n

Where, PV= Present value of the revenues, r= Revenue generated per year, i= Interest rate, n= Number of years.The present value of the revenue can be calculated as follows:

P = $1,000,000 / (1 + 6%)^1 = $943,396.23

PV = P × 10 = $9,433,962.26

Thus, the present value of the revenues is $9,433,962 (rounded to the nearest dollar).

b. Present value of the maintenance costs. The present value of the maintenance cost can be calculated using the formula, PV= C1 / (1 + i) + C1 (1 + g) / (1 + i)² + C1 (1 + g)² / (1 + i)³ + ...

Where, C1 = Maintenance cost at the end of the first year, g= Increase in maintenance cost every year, i= Interest rate, n= Number of years.

First, we can calculate the maintenance cost at the end of each year using the formula,C = C1 (1 + g) n-1,

Where, C= Maintenance cost at the end of the nth year.Substituting the values, we get :

C2 = C1 (1 + g) = $52,500

C3 = C2 (1 + g) = $55,125

C4 = C3 (1 + g) = $57,881.25

And so on...Now, we can calculate the present value of each maintenance cost using the formula, PV= C / (1 + i)n

Where, C = Maintenance cost at the end of the nth year, i= Interest rate, n = Number of years.

The present value of all the maintenance costs can be calculated as follows : PV = C1 / (1 + i) + C2 / (1 + i)² + C3 / (1 + i)³ + ... = $1,062,655.72.

Thus, the present value of the maintenance costs is $1,062,656 (rounded to the nearest dollar).

c. Whether to invest in the factory or not.The net present value (NPV) of the investment can be calculated as follows:

NPV = PV (revenues) - PV (maintenance costs) - Cost to build the plant= $9,433,962 - $1,062,656 - $10,000,000= -$629,693.55

Since the NPV is negative, it is not advisable to invest in the factory as the cash outflow is more than the cash inflow. Thus, the factory will not generate enough cash to make a positive cash flow. Hence, the investor should not invest in the factory.

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What are the similarities and differences in the purchasing
functions at a for profit versus a not for profit organization?

Answers

Explanation:

I hope this answer is helpful ):
What are the similarities and differences in the purchasingfunctions at a for profit versus a not for

differentiate between primary and secondary wants​

Answers

Answer:

Difference between primary needs and secondary needs: Primary needs: The primary needs are the basic requirements according to biological demands like oxygen for breathing, water for overcoming thirst, food for living and shelter. The secondary needs are the needs that remain even after the primary needs are satisfied

what is the primary concern when selecting an alpha value?

Answers

the primary concern when selecting an alpha value is to strike an appropriate balance based on the specific requirements of the analysis, the available evidence, and the consequences associated with making different types of errors.

When selecting an alpha value, the primary concern is typically related to statistical hypothesis testing and the risk of making Type I errors.

In hypothesis testing, the alpha value (also known as the significance level) represents the threshold for rejecting the null hypothesis. It determines the level of evidence required to conclude that there is a statistically significant effect or relationship in the data.

The primary concern when selecting an alpha value is to strike a balance between two types of errors:

1. Type I error (False Positive): This error occurs when the null hypothesis is wrongly rejected even though it is true. Selecting a lower alpha value reduces the risk of Type I errors but may increase the chance of overlooking true effects in the data.

2. Type II error (False Negative): This error occurs when the null hypothesis is erroneously accepted when it is false. Selecting a higher alpha value increases the risk of Type II errors but may make it easier to detect true effects in the data.

The choice of alpha value involves a trade-off between these two types of errors and depends on the specific context, the consequences of each type of error, and the desired balance between sensitivity (power) and specificity (specificity) in the hypothesis test.

Commonly used alpha values include 0.05 (5%) and 0.01 (1%), but researchers and practitioners may choose different alpha levels based on the specific requirements of their study or analysis.

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in the base year, what can we say about real gdp and nominal gdp?

Answers

In the base year, we can say that nominal GDP and real GDP are equal, but in subsequent years, real GDP provides a better measure of economic performance by adjusting for inflation.

In the base year, the inflation rate is zero, which means that the nominal GDP and real GDP are equal. This is because the prices of goods and services in the base year are used to calculate both nominal and real GDP. Therefore, in the base year, we can say that nominal GDP and real GDP are equal.

However, in subsequent years, as prices change, there will be a difference between nominal GDP and real GDP. This difference is due to inflation, which causes the prices of goods and services to increase over time.

As a result, nominal GDP will tend to overstate economic growth, while real GDP will provide a more accurate measure of economic performance by adjusting for inflation.

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You pay a monthly fee to have telephone service for your business. The amount you pay is the same every month. This is an example of a ________ cost.

Answers

Answer:

This is an example of a Fixed Cost.

Answer:

fixed cost

Explanation:


Analyse why a commercial bank may prefer to sell its services in foreign countries rather
than its home country.

Answers

Answer:

They'll make more business and money.

Explanation:

They will sell their country's services to them since they don't have their services in that country.

even perfectly anticipated inflation imposes costs. why?

Answers

Even perfectly anticipated inflation imposes costs because it erodes the purchasing power of money and introduces uncertainty into economic decisions.

When inflation is perfectly anticipated, it means that people expect and adjust their behavior accordingly to the expected increase in prices. However, even in this scenario, costs arise due to several factors. Firstly, inflation reduces the purchasing power of money over time. As prices rise, the same amount of money can buy fewer goods and services, impacting individuals' standards of living. Secondly, inflation introduces uncertainty into economic decisions. Businesses and consumers may hesitate to make long-term investments or financial commitments due to uncertain future prices, leading to economic inefficiencies and slower growth. Additionally, inflation can distort resource allocation and create winners and losers depending on their ability to adapt to changing price levels. Overall, even with perfect anticipation, inflation still brings costs that affect individuals, businesses, and the economy as a whole.

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What is the payment the bond issuer makes to the bondholder to compensate them for the use of their money?

Answers

The payment made by the bond issuer to the bondholder to compensate them for the use of their money is called the "coupon" or "interest payment." This payment serves as an incentive for investors to lend their money to the issuer by purchasing bonds.

The coupon rate is typically expressed as a percentage of the bond's face value and is paid periodically, often semi-annually.

Bond issuers, which may include corporations, municipalities, or governments, use the funds raised from selling bonds to finance various projects or operations. In return, they agree to make interest payments to the bondholders for the duration of the bond's term or until its maturity date. Once the bond matures, the issuer returns the principal amount, also known as the face value, to the bondholder.

The coupon rate is determined by various factors, such as the issuer's creditworthiness, prevailing market interest rates, and the bond's term. Bonds with higher credit risks generally offer higher coupon rates to attract investors, as they are compensating for the increased risk associated with lending to less creditworthy entities.

In summary, the coupon is the payment made by a bond issuer to the bondholder as compensation for the use of their money. It serves as a critical component of the bond investment, providing a periodic income stream to the bondholder and encouraging them to lend funds to the issuer.

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Imagine that a designer writes content for their online portfolio. To come across as knowledgeable about UX design, they include industry terms and buzzwords that are trending in the design sector. What can this designer do to improve their written content

Answers

To improve their written content, the designer can do the following:

Understand the audience he targets. Incorporate storytelling to capture the interests of his audience.Make the presentation simple.Incorporation of text in the User Interface.Make a good copy to sell your skill.

Who is a designer?

A designer is an individual that uses computer-aided software and devices to plan and draw the soft/hard copies of a material.

A User Interface designer designs the screens that users go through while surfing a website.

To improve their written content and improve their portfolio, they can use the numbered steps above.

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On June 1, 20X1, Apogee Corp. purchases for $101,700 a machine that Apogee estimates has a useful life of 3 years and a residual value of $4,500. Apogee uses the SL depreciation.

Answers

Apogee Corp. purchased a machine for $101,700 on June 1, 20X1, with an estimated useful life of 3 years and a residual value of $4,500. Apogee uses the straight-line (SL) depreciation method to determine the asset's annual depreciation expense. Under SL depreciation, the cost of the asset is divided by its useful life to determine the annual depreciation expense.

To calculate the annual depreciation expense for Apogee's machine, we first need to subtract the residual value from the cost of the asset: $101,700 - $4,500 = $97,200. We then divide the resulting amount by the asset's useful life to get the annual depreciation expense: $97,200 ÷ 3 = $32,400.

Therefore, Apogee will record a depreciation expense of $32,400 each year for the next three years until the machine is fully depreciated. At the end of the asset's useful life, its carrying value on the balance sheet will be zero.

It is important to note that the SL depreciation method assumes that the asset depreciates at a constant rate over its useful life. While this method is straightforward and easy to calculate, it may not accurately reflect the asset's actual decline in value over time. Therefore, other depreciation methods, such as the declining balance method, may be more appropriate for certain assets.

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What is The Humane Society of North Central Florida's mission? *

Answers

Answer:

Our mission is to build an ecologically sustainable and humane world for all animals.

Explanation:

I hope it help u

if you save $2 per day for a year how much will you have by the end of one year?​

Answers

Answer:

1 day = 2$

1 year = 365 days

365 x 2 = 730.

will have 730$ by the end of an year

Answer:

$730

Explanation:

Assume your balance is back at $0. You desperately want a TV for your bedroom, but you don’t have any money saved. You put the $229 TV on your credit card and make the minimum monthly payment each month.
How much is that minimum payment?

Answers

Answer:

19.0833333333

Explanation:

Since there is 12 months a year in total, it will cost $19.0833333333 a month

Answer:

$19.08

Explanation:

When there are increases in attendance, stadium owners take advantage of fan passion by charging _____________, fill in the blank, prices for concessions.

Answers

When there are increases in attendance, stadium owners take advantage of fan passion by charging Premium prices for concessions.A stadium is a location or venue for outdoor sports,

concerts, or other events. A stadium is made up of a field or stage that is partially or entirely enclosed by a tier-structure that enables people can stand or sit and watch the action. The race that covered one length of the stadion at Olympia, which is where the name "stadium" first appeared, served as the only competition at the ancient Greek Olympic celebration for roughly 50 years, according to Pausanias. Association football is played in the majority of venues with a minimum seating capacity of 10,000. Football on the gridiron, baseball, cricket, the many rugby codes, field lacrosse, bandy, and bullfighting are further prominent stadium sports. Large sports arenas are frequently used for concerts as well.

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Which type of account (real, personal, or nominal) includes the following expenses of a business?
Expenses like rent, transportation, and advertising are part of a business’ ______
account, because they are fictitious.

Answers

Answer: Nominal account

Explanation:

Expenses like rent, transportation, and advertising are part of a business (Nominal) account, because they are fictitious.

Personal accounts are the accounts that have to do with individuals, or businesses. A real account is an account that isn't closed when the accounting period ends. The bqlnaces in the real account are carried to the following period. An example of this is cash.

Nominal account is an account that has a zero beginning balance at the start of the year. This is because when an accounting year ends, the nominal account will be closed.

A country has a comparative advantage in producing a good if:.

Answers

Answer:

it can produce that good at a lower opportunity cost relative to another country.

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Rohan is maximizing utility, subject to his limited income. As a result, which of the following statements is TRUE? A) His indifference curve intersects his budget constraint at precisely two points. B) His budget constraint is tangent to his indifference curve. C) The MRSxy= PxPy. D) The slope of his indifference curve is twice the slope of his budget constraint. Which of the following is false?A. The distribution of areas of houses in Ames is unimodal and right-skewed.B. 50% of houses in Ames are smaller than 1,499.69 square feet.C. The middle 50% of the houses range between approximately 1,126 square feet and 1,742.7 square feet.D. The IQR is approximately 616.7 square feet.E. The smallest house is 334 square feet and the largest is 5,642 square feet what is the probability of randomly selecting a z-score less than z = 0.80 from a normal distribution A sports club had 130 members last summer. This summer, due to some renovations, it has 182 members. What is the percent of increase in the number of members?HELP PLSSSSS 1) Explain how you as a marketer can make use of popular culture to promote your brand 2) Give an example of an unethical business behavior conducted by a Palestinian firm Analyze the arguments that are presented in each of these articles about recycling.In your response, develop an argument in which you explain how one position is better-supported than the other. Incorporate relevant evidence from both articles to support your argument. Write not too long essay. Suppose Bank of England is considering using the tool of cutting interest rates to boost household consumption. In this question you will be asked to use the intertemporal choice model to assess the impact of different policies on household consumption. Suppose a consumer's current income is 25,000 and their future income is 30,000, and they initially face a market interest rate of 15% on both saving and borrowing. 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It is evaluating two different models: A and B; both are expected to last six years and are equally efficient. The cash flows (in millions) are listed below. JC's WACC is 7.5%. What unit would you recommend? If WACC changes to 9.5%, which unit would you recommend? A "bank run" takes place when a large number of people withdraw their money at once. How might the Federal Reserve support a bank to ensure that all of the depositors would get their money back if there were a bank run?a By directly paying back the depositorsb By raising the prime interest ratec By lending money to the bankd By issuing government bondsill mark brainiest if right!!!!! QUIck Help me Explain two reasons why catholics believe prayer is important? (Include types of prayer) (4) A company uses machines programmed to process different part types simultaneously, allowing them to mass-produce customized products. This company uses a ________ manufacturing process. fine-grained rocks are the most common type of clastic rocks. select all of the following rock types that are fine-grained clastic rocks. How does the author first contrast the points of viewof Mr. Herriot and Mrs. Lee?A by presenting Mr. Herriot asenthusiastic and Mrs. Lee as boredBby presenting Mr. Herriot as uncaringand Mrs. Lee as desperateby presenting Mr. Herriot as bored andMrs. Lee as enthusiasticDby presenting Mr. Herriot as desperateand Mrs. Lee as uncaring What allowed the Voyager 2 spacecraft to make a "tour" of all four of the jovian planets in the late 1970's and the 1980's?1) NASA had developed a new kind of rocket that could propel the craft from planet to planet2) the four planets were approximately aligned on one side of the Sun and we used the gravity of each planet to speed up the spacecraft to get to the next one in its path3) the spacecraft stopped off to collect fuel on the satellites of each planet before proceeding to the next one4) we used laser beams to propel the spacecraft into the outer solar system, where sunlight is dim5) you can't fool me, no single spacecraft has ever explored four different planets Hello! What can I study if I like electronics and programming? please Activist investors often try to influence a board to sell off a business unit if it does not have a lot of synergy with other business units. To gain enough influence with the board, these investors usually require Suppose we have a rod of length n inches and we also have an array of prices P, where P[i] denotes the selling price ($) of a piece that is i inches long. In class, we introduced an algorithm that uses dynamic programming to find a way of cutting the rod into pieces that maximizes the revenue (See CLRS Ch15.1 for reference). Suppose now we have to pay a cost of $1 per cut. The profit can be defined as revenue minus the total cost of cutting. Suggest an algorithm to find a way to cut the rod that maximizes our profit. State a expression for the run time of your algorithm. I need answers as quick as possible.QUESTION 1 (30 Marks) a) A continuous random variable X has probability density function f(x) Show this EX+)= a(X) + b where 'a' and 'b' are constants. 13 marks) X by Consider the following probability density function of the random variable X. 13 (= 0, otherwise f') = 3(1) ". *=0,1,2,3,4. Determine the probability generating function of the random variable X. 3 marks 13 marks) Using your answer to b), determine the mean of x. e) A discrete random variable X has the following probability density function 1x) = (x+1), x=0,2,4,6 0. otherwise [5 marks! Check if Chebychey's Inequality holds true for the following probability P={x+423 5 (d) Available records indicate that the chances of an open-air kiosk operator making a gross profit of at least 400 in a week e 40%. Six weeks are picked at random.