Goldbach's conjecture states that every even number greater than two can be expressed as the sum of two prime numbers. For example, 2022 = 191 + 1831. How many ordered pairs of prime numbers have a sum of 100?

Answers

Answer 1

There are six ordered pairs of prime numbers that have a sum of 100.

To find how many ordered pairs of prime numbers have a sum of 100, we can follow these steps:

1. Identify the even number, which in this case is 100.
2. Find prime numbers less than 100.
3. Check for pairs of prime numbers that add up to 100.

Goldbach's conjecture states that every even number greater than two can be expressed as the sum of two prime numbers. We need to find how many ordered pairs of prime numbers have a sum of 100.

Step 1: Identify the even number, which is 100.

Step 2: Find prime numbers less than 100. Some prime numbers less than 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

Step 3: Check for pairs of prime numbers that add up to 100. The ordered pairs are (3, 97), (11, 89), (17, 83), (29, 71), (41, 59), and (47, 53).

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Related Questions

The firm's ____ should be thought of as a business partner who can be a source of information and networking; help make decisions regarding capital needs; and assist in preparing pro forma operations and cash-flow analyses.

Answers

The entity who should be thought of as a firm's banker and source of information should be the Banker.

Roles of a banker in a company

They advise the company on financial and capital needs to ensure that the company gets the funding it needs to be successful.

They also serve as a source of information for various aspects of the financial world and can assist in preparing financial statements. They are therefore partners to the business.

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Suppose an individual's MRS (of steak for beer) is 2:1. That is, at the current consumption choices he or she is willing to give up 2 beers to get an extra steak. Suppose also that the price of a steak is $1 and a beer is $4. Then in order to increase utility the individual should 1. buy more steak and less beer. buy more beer and less steak continue with current consumption plans

Answers

The individual's MRS (Marginal Rate of Substitution) of steak for beer is 2:1, which means that for every additional unit of steak, the individual is willing to give up 2 units of beer. If the price of a steak is

1andabeeris4, the individual is currently choosing to consume 1 steak and 3 beers. To increase utility, the individual should buy more beer and less steak. This is because the individual's MRS indicates that steak is a more important good to the individual than beer.

And therefore increasing the consumption of beer while holding steak constant will increase the individual's overall utility. Therefore, the answer is: buy more beer and less steak.

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If the multiplier in an economy is 5 and a firm buys new plant and machinery valued at $100 million, what is the value of the mpc?

Answers

The value of MPC is 0.8.

What is MPC?

The marginal propensity to consume (MPC) is defined as the proportion of a pay increase that a consumer spends on goods and services rather than saving. The marginal propensity to consume, which is calculated as the change in consumption divided by the change in income, is a component of Keynesian macroeconomic theory.

Calculation for the value of MPC:

Multiplier  = 1/1-MPC

      5         = 1/1-MPC

  MPC       =     4/5

                 =    0.8

Therefore, when the multiplier in the economy is 5, the MPC will be 0.8.

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A company can raise money by doing all but which of the following?
A. Conducting an initial public offering
O B. Taking a loan
C. Providing stock options to executives
D. Issuing bonds

Answers

Your awnser is B because if you take a loan you have to pay it back which means you didn’t earn anything more than what you already had

Answer:

B

Explanation:

What is the difference between Money
Market and Investments?

Answers

Answer:

can udo a pic so i can see

Explanation:

How did the world's per capita income and the degree of income inequality change between 1800 and 1980?

Answers

Income disparity rose although per capita income climbed by about ten times.

The distribution of income or income growth among the population is referred to as income inequality. Less equal income distribution or growth is represented by higher income inequality. The paper offers a number of inequality measurements.

The amount of money made per person in a country or region is expressed as per capita income. The average per-person income for a region is calculated using per capita income, which is also used to assess the population's standard of living and quality of life.

From 100-1900 world's per capita income increased but degree of income inequality also increased.

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given the following information, calculate the current value of builtrite's common stock: current dividend is 7.00, projected super normal growth for three years at 15%, growth rate after year 3 should remain constant at 6% and you want to earn a 10% annual return. what should you pay for the stock?

Answers

So, based on the given information, you should pay $233.36 for the stock.

To calculate the current value of Builtrite's common stock, we need to find the present value of dividends during the supernormal growth phase (years 1-3) and the present value of dividends after the constant growth phase (year 4 onwards). Here's the step-by-step calculation:

1. Calculate the dividends for the supernormal growth period:
Year 1: 7.00 * 1.15 = 8.05
Year 2: 8.05 * 1.15 = 9.26
Year 3: 9.26 * 1.15 = 10.65

2. Calculate the present value of these dividends:
PV (Year 1) = \(8.05 / (1 + 0.1) = 7.32\)
PV (Year 2) = \(9.26 / (1 + 0.1)^2 = 7.62\)
PV (Year 3) = \(10.65 / (1 + 0.1)^3 = 7.92\)

3. Calculate the dividend for year 4:
Year 4: 10.65 * 1.06 = 11.29

4. Calculate the present value of dividends from year 4 onwards using the Gordon Growth Model:
PV (Year 4 onwards) = D4 / (required rate of return - constant growth rate) = \(11.29 / (0.10 - 0.06) = 282.25\)

5. Calculate the present value of this perpetuity at the end of year 3:
PV (Year 3) = 282.25 / (1 + 0.1)^3 = 210.50

6. Add the present values of all dividends to find the current stock value:
Stock Value =\(PV (Year 1) + PV (Year 2) + PV (Year 3) + PV (Year 3) = 7.32 + 7.62 + 7.92 + 210.50 = 233.36\)

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Most firms have procedures in place as well as codes to ensure individual employee accountability. This is a part of their: a) program network. b) division of work. c) local area network. d) social responsibility. e) recycling program.

Answers

The d) social responsibility, Most firms have procedures and codes in place to ensure individual employee accountability as a part of their social responsibility towards their stakeholders.

This includes ensuring ethical behavior, compliance with laws and regulations, and promoting transparency and fairness in business practices. These measures help to build trust and reputation for the firm, which is crucial for long-term success.



Social responsibility refers to the ethical obligations that companies have towards society, including their employees. By establishing procedures and codes to ensure employee accountability, firms demonstrate their commitment to responsible business practices and contribute to a fair and transparent work environment.

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1. Looking at Nigeria as a potential emerging market, mention and explain 4 factors you think are preventing Nigeria from becoming an excellent emerging market to invest in? 2. If you were given the chance, resources and power to change Nigeria, which one out of the 4 problems identified above would you try to solve and how would you do it?

Answers

do not understand what you are saying

when a perfectly competitive firm is in long-run equilibrium, the firm is producing at?

Answers

when a perfectly competitive firm is in long-run equilibrium, the firm is producing at a point that corresponds to minimum long-run average total cost.

According to economic theory, perfect competition exists when all businesses sell the same goods, market share has no bearing on prices, businesses can enter or quit the market without any obstacles, consumers have perfect or complete information, and businesses are unable to set prices.

Agricultural markets are another example of almost flawless competition. Imagine going to your neighbourhood farmers' market and finding a variety of vendors offering the same fruits, veggies, and herbs. The costs of the commodities are simple to ascertain, yet they are typically close to one another.

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Type the correct answer in the box.

Lois is planning to raise funds for her new business venture. Which factor of production is she working toward?


Lois is planning to raise funds for her new business venture. She is working toward satisfying the __________ factor of production.

Answers

Answer:

Capital

Explanation:

Factor of production are defined as resources or input that are used in production process to get output.

The factors of production includes land, labour, and capital.

Although these are not part of the final product , they facilitate production.

In the given scenario Louis is planning to raise funds for her new business venture.

This is an activity aimed at raising capital for the business.

Capital is a sum of money that is used to start or run a business.

Answer:

The capital factor of production.

Explanation:

Anyone know how to work powerpoint?

Answers

Yes, you can choose any of the themes and edit and do whatever you’d like, like adding a title, pictures, or anything you want to add

An innovative business idea that no one has never had

Answers

An innovative business idea that no one has never had is Offering virtual assistance to other businesses.

What is innovative business idea ?

innovative business idea can be described as an idea in business that cn be developed so that it can be a way to earn a living by providing the services or the goods to the consumer.

It should be noted that this innovation can be the one that no one has ever done or the modification of the one that has been in exisitence, however providing the virtual assistance serves as one of the innovation in business that can ring profit.

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Complete question:

State An innovative business idea that no one has never had

when cash from operating activities is presented using the indirect method, net income must be adjusted for the components that increase and decrease in balance sheet accounts that relate to: multiple choice question. all current assets and liabilities. all long-term assets and liabilities. changes in equity. amounts presented in the income statement.

Answers

When cash from operating activities is presented using the indirect method, net income must be adjusted for increases and decreases in balance sheet accounts that relate to amounts presented in the income statement.

What is Operating activities?

Operating activities  serves as the functions of a business  which is related directly in providing its goods and/or services to the market.

It should be noited that the An income statement  which is a financial statements  that provide the  company's financial performance in an accounting period is needed when making adjustment for net income  increases and decreases.

Therefore, the last option is correct.

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Write a scenario that will help you understand the following word or topic and show me that you understand their importance.

Disciplines - information literacy practices change based on the discipline (or what one is
studying or researching) to determine if information is relevant to the need

Answers

A specific reading, writing, and communication techniques are referred to as disciplinary literacy. It focuses on reasoning, capacities, and equipment employed by specialists in the relevant fields.

What is discipline?

It is the practise of teaching people to follow rules or a behavioural code by using punishment to correct disobedience. It is also a body of knowledge that is typically studied in higher education.

Teachers anticipate that by the time students enter high school and middle school, they will have mastered the fundamental techniques and methods for reading and interpreting material.

Students who are still learning to read and write in the classroom may require assistance from their regular classroom teachers as well as, in some cases, reading or special education experts.

Making connections, asking questions, drawing conclusions, summarizing, and checking their understanding are just a few of the fundamental techniques they have mastered for reading texts of various genres and subjects.

Therefore, by this we understand that there is a need to learn the basic disciplines, and even if a person is not able to be getting fundamental guidance related to it.

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Which factor should be most important if you are considering purchasing a new video game?

A-the number of games available for purchase
B-the quality of the games produced by that manufacturer
C-the popularity of the video game with your friends
D-the other things you could do with your money instead

Personal Finance.

I have 38 min remaining so Answer Quick lol

Answers

B the quality is the most important when considering buying an item. Then you think of quantity.

D) The other things you could do with your money instead.

Can anybody help me please? :)

According to O*NET, what is the most common level of education required for Nursery and Greenhouse Managers?


master’s degree

bachelor’s degree

associate degree

high school diploma or equivalent

Answers

Answer:

bachleor's degree

Explanation:

hope this helped

it’s B

i hope it helps

if you're about to invest in a store that has excellent growth potential of the next few years and the investment is to be part of your retirement, the best place to this would be in a

Answers

The best place to invest in a store with excellent growth potential for retirement would be in diversified retirement investment vehicles such as mutual funds, index funds, or exchange-traded funds (ETFs).

Investing in individual stores or businesses can carry significant risks, as the success of a single store is highly dependent on various factors such as market conditions, competition, management effectiveness, and industry trends. To mitigate these risks and ensure a well-rounded retirement portfolio, it is advisable to invest in a diversified mix of assets. Mutual funds, index funds, and ETFs offer the advantage of diversification by pooling investments from multiple individuals to invest in a wide range of stocks, bonds, or other securities. These investment vehicles are managed by professional fund managers who aim to achieve long-term growth while spreading the risk across different companies and industries. By investing in diversified retirement investment vehicles, you can benefit from the potential growth of the overall market while reducing the risk associated with individual stores or businesses. It is important to carefully evaluate the investment options, consider your risk tolerance, and consult with a financial advisor to align your investment strategy with your retirement goals.

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A forecast using the ratio 'Days Sales Outstanding' (DSO) is applying a business relationship.
True or False?

Answers

False. Days Sales Outstanding (DSO) is not a forecast, but rather a financial metric used to measure the average number of days it takes for a company to collect payment from its customers after a sale.

It represents the relationship between accounts receivable and average daily sales. DSO helps assess the efficiency of a company's credit and collection policies. It is not directly related to forecasting future sales or financial performance. Instead, it provides insight into the company's cash flow and liquidity position based on its existing accounts receivable balances and historical sales data.

Days Sales Outstanding (DSO) is a financial metric used to evaluate the efficiency of a company's credit and collection processes. It measures the average number of days it takes for a company to collect payment from its customers after making a sale. DSO is calculated by dividing the accounts receivable balance by the average daily sales.

DSO is not a forecasting tool because it relies on historical data and current accounts receivable balances rather than predicting future sales or financial performance. It provides insights into a company's cash flow and liquidity position by indicating how quickly it can convert its sales into cash. A lower DSO suggests that a company is collecting payments quickly and efficiently, while a higher DSO may indicate issues with credit policies or collections procedures.

While DSO is a useful metric for monitoring cash flow, it does not directly involve forecasting or predicting future business relationships or outcomes. Its primary purpose is to assess the effectiveness of a company's accounts receivable management.

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Financialization is a term used to describe the shareholder models' emphasis on short term profits rather than, say, the delivery of valued or needed goods and services.

Answers

Financialization is a term that describes the shift towards prioritizing short-term financial gains and profits over the long-term delivery of valuable goods and services.

This trend has been driven by the shareholder model, which places an emphasis on maximizing returns for investors rather than focusing on the needs and desires of customers or other stakeholders. As a result, companies that embrace financialization may be more likely to pursue strategies like stock buybacks or other financial engineering tactics that boost stock prices in the short term, rather than investing in research and development or other initiatives that may not pay off immediately but could create value over the long term.

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a. Explain the definition of interim payment.b. All contents in a contract describes rights and obligations of parties under the contract. Those contents can be in

Answers

a. Interim payment: Partial payment made during a project before its completion to cover ongoing expenses and maintain cash flow.

b. Contents in a contract: Provisions in a contract that outline the rights and obligations of the parties involved.

Interim payment refers to a partial payment made to a contractor or subcontractor during the course of a project. It ensures that the contractor has sufficient funds to cover expenses and maintain cash flow while the project is still ongoing. Interim payments are typically based on the progress or work completed at a specific stage of the project.

The contents of a contract include all the provisions and terms that define the rights and obligations of the parties entering into the contract. These provisions can cover various aspects such as scope of work, payment terms, delivery schedules, warranties, dispute resolution mechanisms, and other relevant contractual terms. The purpose of including these contents in a contract is to establish a clear understanding between the parties, ensure compliance with agreed-upon terms, and provide a legally binding framework for the execution of the contract.

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The Allen Export Company ships sugar to many overseas ports. Over the years the company has stacked large bags of sugar onto pallets for shipping. Because of a lumber shortage, pallets for export have become very difficult to obtain. The management of Allen Export has presented the dock manager with the challenge of reducing the number of wooden pallets used and/or to find a new way to supplement or change their stevedoring system.

Answers

Answer:

Throughout the given scenario following are the points, should be achieved to reduce the pallet crisis.

Explanation:

The export business faces the above-mentioned issue of that same lack of wooden pallets towards distribution.

The tightly packed sugar bags might be utilized easily, allowing for easy release of pallets and therefore also available for several other reasons or uses.Rather than just being placed throughout pallets the enterprise should contain sugar bags in what seems like different warehouses.

what are the four distribution channels for the latin american markets?

Answers

The four distribution channels for the Latin American markets are -
wholesalers, retailers, distributors, and even the internet.

Distribution channels are the ways that items and administrations take on their way from the maker or specialist co-op to the end shopper. A dispersion channel is the organization of organizations or mediators through which a decent or administration passes until it arrives at the last purchaser or the end shopper. Conveyance channels can incorporate wholesalers, retailers, merchants, and, surprisingly, the web. A dissemination channel is a way by which all labor and products travel to show up at the expected customer. Dispersion channels can be short or long, and rely upon the quantity of delegates expected to convey an item or administration. Expanding the quantity of ways a buyer can find a decent can increment deals yet it can likewise make a perplexing framework that occasionally makes dissemination the board troublesome. Longer dissemination channels can likewise mean less benefit for every go-between en route.

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which of the following shows the correct order for the phases of the business cycle

Answers

Answer:

Expansion

Peak

Recession

Depression

Trough

Recovery

Explanation:

Check The Attached Image!

which of the following shows the correct order for the phases of the business cycle

A consumer is someone who _____. buys something to use buys from a particular store markets a product crates a product

Answers

Answer:

A consumer is one who is the decision maker whether or not to buy an item at the store, or someone who is influenced by advertisement and marketing.

A consumer is someone who decides and buys something to use buys from a particular store markets a product crates a product.

A consumer is a person or a group that is not directly involved in entrepreneurial or business activity and who wants to order or use purchased items, products, or services primarily for domestic, family, social, or personal purposes.

A consumer is anybody who makes use of a good or service. Customers and consumers frequently appear in the same sentence. This is not quite accurate. A buyer of goods or services is referred to as a customer. They might or might not eat them.

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Raider restaurant is considering the purchase of an 8 million dollar flat top grill. The grill has an economic life of six years and will be fully depreciated using the straight line method. The grill is expected to produce $550,000 tacos per year for the next 6 years, with each costing $3.50 to make and priced at $8. assume the discount rate is 10% and the tax rate is 21%. The restaurant expects the market value of the grill to be zero, 6 years from now. calculate the net present value for the project

Answers

In this case, to calculate the NPV, we would sum up the present values of each year's cash flow and subtract the initial cost of the grill ($8,000,000). The resulting NPV will indicate whether the investment is financially viable.


To calculate the net present value (NPV) for the project, we need to determine the present value of the cash flows generated by the grill over its economic life. Here's how we can calculate it:

1. Calculate the annual cash flow: Revenue per year - Cost per year - Depreciation per year - Tax per year.

- Revenue per year: $550,000 tacos * $8 per taco = $4,400,000.
- Cost per year: $550,000 tacos * $3.50 per taco = $1,925,000.
- Depreciation per year: $8,000,000 / 6 years = $1,333,333.33.
- Tax per year: ($4,400,000 - $1,925,000 - $1,333,333.33) * 0.21 = $392,916.67.

2. Calculate the present value factor for each year using the discount rate of 10%. The formula to calculate the present value factor is: 1 / \((1 + discount rate)^n\), where n is the number of years.

- Year 1: \(1 / (1 + 0.10)^1 = 0.9091\).
- Year 2:\(1 / (1 + 0.10)^2 = 0.8264.\)
- Year 3: \(1 / (1 + 0.10)^3 = 0.7513.\)
- Year 4: \(1 / (1 + 0.10)^4 = 0.6830.\)
- Year 5:\(1 / (1 + 0.10)^5 = 0.6209.\)
- Year 6: \(1 / (1 + 0.10)^6 = 0.5645.\)
3. Calculate the present value of each year's cash flow by multiplying the cash flow with the present value factor for that year.

- Year 1: $4,400,000 * 0.9091 = $4,000,400.
- Year 2: $4,400,000 * 0.8264 = $3,642,560.
- Year 3: $4,400,000 * 0.7513 = $3,304,520.
- Year 4: $4,400,000 * 0.6830 = $3,005,200.
- Year 5: $4,400,000 * 0.6209 = $2,730,360.
- Year 6: $4,400,000 * 0.5645 = $2,484,200.

4. Calculate the NPV by summing up the present values of the cash flows and subtracting the initial cost of the grill.

- NPV = ($4,000,400 + $3,642,560 + $3,304,520 + $3,005,200 + $2,730,360 + $2,484,200) - $8,000,000.

The net present value (NPV) calculates the present value of cash inflows and outflows to determine the profitability of an investment. In this case, we calculated the NPV of the grill purchase by determining the annual cash flows over its 6-year life and discounting them to their present values using a 10% discount rate.

The annual cash flow was calculated by subtracting the cost of tacos, depreciation, and taxes from the revenue generated by selling the tacos. The present value factor was calculated for each year using the discount rate. Finally, the present value of each year's cash flow was calculated by multiplying the cash flow with the present value factor.

The NPV is found by summing up the present values of all cash flows and subtracting the initial cost of the grill. A positive NPV indicates that the investment is profitable, while a negative NPV suggests it is not.

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technological advances allow smaller companies to compete with larger companies. group of answer choices true false

Answers

True, Technological advances allow smaller companies to compete with larger companies.

What is company?
A company is a legal entity created by a group of people to conduct and manage a business enterprise, whether it be commercial or industrial. Depending on the corporate law of its jurisdiction, a company may be set up in a variety of ways for tax and financial liability reasons. The type of business structure a company chooses, such as a partnership, sole proprietorship, or corporation, will typically depend on the industry it operates in. The ownership structure of the business is also indicated by these structures. Additionally, they can tell private from public companies. Both have different ownership arrangements, laws, and rules regarding financial reporting.

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A traditional, physical bank with online options is a type of online bank.
Please select the best answer from the choices provided
ОТ
OF

Answers

Answer:

True

Explanation:

Online banking is banking done via the internet. A customer does not need to be physically present at the bank's buildings. If their banks facilitate transactions through the internet, then it's an online bank.

Many traditional banks have incorporated online banking in their normal operations. However, online-only banks have emerged with no walk-in facilities as with traditional banks.








In the past, the principal goal of the U.S. Forest Service was to make available our national forest to timber and logging companies. True False

Answers

True. In the past, one of the principal goals of the U.S. Forest Service was to make national forests available for timber harvesting and logging operations.

In the past, the U.S. Forest Service did prioritize making national forests available for timber and logging companies. This approach was rooted in a historical perspective that emphasized economic utilization of forest resources for timber production. The Forest Service granted logging permits and facilitated timber extraction as a means to support economic growth, create jobs, and meet the demand for wood products.

However, over time, there has been a shift in the Forest Service's goals towards a more balanced and sustainable approach that includes considerations for conservation, ecosystem management, recreational opportunities, and protection of biodiversity. This shift reflects a broader recognition of the value of forests beyond purely economic exploitation.

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Thomas company uses a standard cost system and recognizes the materials purchase price variance at the time materials are purchased. information for raw materials for product rbi for the month of october follows: standard unit price $1.80 actual purchase price per unit $1.65 actual quantity purchased 4,000 units actual quantity used 3,900 units standard quantity allowed for actual production 3,800 units what is the materials purchase price variance?

Answers

Answer: $600F

Explanation:

Given the following :

standard unit price - $1.80

actual purchase price per unit - $1.65

actual quantity purchased - 4,000

units actual quantity used - 3,900

units standard quantity allowed for actual production - 3,800 units

Material purchase price variance = ( Actual unit price of material - standard unit price of material) × Actual unit of material purchased

($1.65 - $1.80) × 4000

( $0.15) × 4000

$600F (Favorable) because standard price is higher than actual price

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