The argument made against reducing bureaucracy by stating that it would hurt the economy by reducing the purchasing power of the dismissed officeholders is committing the fallacy of the "Broken Window Fallacy.
This fallacy states that destroying something can lead to economic benefits because it creates jobs and stimulates economic activity. However, this fallacy is flawed because it fails to account for the opportunity cost of the resources used to replace the destroyed item. In the case of reducing bureaucracy, dismissing officeholders may lead to short-term job losses but in the long run, it can lead to a more efficient and effective government. The resources freed up from reducing bureaucracy can be used to invest in more productive areas, which can have a positive impact on the economy. Therefore, reducing bureaucracy should not be dismissed solely on the basis of preserving jobs or purchasing power, but rather on the basis of its potential to improve government efficiency and promote economic growth in the long term.
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an important part of planning a sales call is the development of a customer ben- efit plan. what are the major components of the customer benefit plan? what is the difference in developing a customer benefit plan for a general foods sales- person selling consumer products versus an industrial salesperson selling prod- ucts for a company such as ibm? quizlet
The major components of a customer benefit plan are understanding needs, unique value proposition, specific benefits, and tailored communication. The difference lies in addressing consumer preferences for general foods salesperson and industrial needs for IBM salesperson.
The major components of a customer benefit plan include understanding the customer's needs, identifying the unique value proposition, determining the specific benefits the product/service offers, and tailoring the communication to address those benefits.
When developing a customer benefit plan for a general foods salesperson selling consumer products, the focus would be on factors such as taste, convenience, affordability, and meeting individual consumer preferences.
On the other hand, for an industrial salesperson selling products for a company like IBM, the customer benefit plan would prioritize factors such as efficiency, productivity, cost savings, technical specifications, and compatibility with existing systems. The focus would be on addressing the specific needs and challenges faced by businesses in the industrial sector.
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albinson company paid $96,000 for a two-year insurance policy on october 1 and recorded the $96,000 as a debit to prepaid insurance and a credit to cash. what adjusting entry should albinson make on december 31, the end of the accounting period (no previous adjustment has been made)? question 14 options: a) prepaid insurance 12,000 insurance expense 12,000 b) insurance expense 48,000 prepaid insurance 48,000 c) prepaid insurance 84,000 insurance expense 84,000 d) insurance expense 12,000 prepaid insurance 12,000
d) 12,000 in insurance costs 12,000 in prepaid insurance. Deduct $12,000 for insurance expenses and credit $20,000 for prepaid insurance.
What is the definition of prepaid insurance?Prepaid insurance refers to insurance premiums that are paid in advance. A premium is a recurrent payment paid to a provider in exchange for the benefit of insurance coverage. Premiums are often paid monthly.
What exactly is Insurance Expense?The sum paid by a corporation to get an insurance contract, as well as any additional premium payments, is referred to as insurance expense. The company's payment is recorded as an expense for the accounting period.
Prepaid expenses are they debits or credits?When a payment is made to prepay an expense, a prepaid account, such as Prepaid Insurance, is debited and the cash account is credited.
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If the exchange rate between the dollar and yen has risen, this would be consistent with:A) a fall in the U.S. interest rate.B) a fall in U.S. inflation.C) a rise in the Japanese interest rate.D) a rise in the U.S. interest rate, a rise in U.S. inflation, and a fall in the Japanese interest rate.
If the exchange rate between the dollar and yen has risen, this would be consistent with option C, a rise in the Japanese interest rate.
When a country's interest rates rise, its currency tends to appreciate in value as foreign investors seek to take advantage of the higher returns. This leads to an increase in demand for that country's currency, driving up its exchange rate.
Option A, a fall in the U.S. interest rate, would actually lead to a decrease in demand for the dollar, as lower interest rates make it less attractive to foreign investors seeking higher returns. Option B, a fall in U.S. inflation, would not necessarily have a direct impact on the exchange rate.
Option D, a rise in the U.S. interest rate, a rise in U.S. inflation, and a fall in the Japanese interest rate, would likely have a mixed impact on the exchange rate, making it difficult to predict the overall effect.
In summary, a rise in the Japanese interest rate is the most consistent explanation for a rise in the exchange rate between the dollar and yen.
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Which of the following was not one of Reagan's four major policy objectives during his presidency?
A.reduce government regulation
B. reduce federal income tax and capital gains
C.reduce growth of government spending
D.reduce the rising taxes for middle-class citizens
E.reduce inflation by controlling growth of the money supply to reduce inflation
Answer: D.reduce the rising taxes for middle-class citizens
Explanation:
During the tenure of President Ronald Reegan when he was the president of the United States,he promoted some economic policies which were often referred to as Reaganomics.
These policies include:
A.reduce government regulation
B. reduce federal income tax and capital gains
C.reduce growth of government spending
E.reduce inflation by controlling growth of the money supply to reduce inflation
It should be noted that option D "reduce the rising taxes for middle-class citizens" isn't among the policies put forward by Reegan.
In the following pictograph, how many books has Group 3 read?
18
25
15
12
Answer:
15 is the answer you are looking
Which type of economy is used by the United States?
HELPPPPPPPPP
Answer:
mixed economy
Explanation:
The United States has a mixed economy. It works according to an economic system that features characteristics of both capitalism and socialism.
mixed economy
The United States has a mixed economy. It works according to an economic system that features characteristics of both capitalism and socialism
Read the following scenario, and then answer the question below.
A new pet supply company plans to primarily sell products in stores. They need a system that will track their large
inventory and keep customer sales records.
Which evaluation factor will be most important when choosing technology for the company?
1)speed
2)size
3)storage
4)connectivity
The correct answer is 3) storage
Explanation:
In technology, storage refers to the amount of information a system, program, or similar can record and save. This factor is especially important when businesses or companies need to keep a lot of information from sales, inventory, and similar. This occurs in the case of the pet supply company because it is explained they need a technological system to "track their large inventory and keep customer sales records", therefore their priority will be to record and save their information or the storage in the system.
Answer:
c
Explanation:
c
. A quadratic polynomial whose one zero is 6 and the sum of the zeroes is 0, is x*2-6
True
False
pls tell fast
Answer:
False
Explanation:
From the question, we can see that a quadratic polynomial is made up of two elements or variables called zeros in this question
From the question, we are told that one variable (zero) = 6
The second variable (zero) = unknown , therefore we can represent the second variable as Y
We are told that the sum of the variables = 0
This means:
6 + Y = 0
Therefore, Y = 0 - 6
Y = -6.
The second variable ( zero) = - 6
Since it is a quadratic polynomial,
The roots of the polynomials are the variables 6 and -6
Hence, we have:
(x + 6) (x - 6) = 0
Expanding the brackets
x² - 6x + 6x - 36 = 0
= x² - 36 = 0
Therefore, a quadratic polynomial whose one zero is 6 and sum of the zero is 0 is x² - 36 = 0
This means the statement made in the question above "A quadratic polynomial whose one zero is 6 and sum of the zero is 0 is x²-6" is false
a worker who loses a job at a petroleum refinery because consumers and business firms switch from the use of oil to the burning of coal is an example of
A worker who loses a job at a petroleum refinery because consumers and business firms switch from the use of oil to the burning of coal is an example of a recession.
A commercial enterprise company is either a sole proprietorship or a partnership. it is able to be owned by using both an individual or a business enterprise (e.g. Pte Ltd). An organization is a "criminal individual", who set up and personalizes a commercial enterprise firm. but, a commercial enterprise company, now not being a criminal entity, can't check in every other enterprise company.
A company is a commercial enterprise organization that seeks to make earnings thru the sale of goods and services. The time business firm is synonymous with business or organization. corporations can perform under numerous one-of-a-kind systems, together with sole proprietorships and corporations.
Firms are one of the three crucial factors inside the round drift of cash thru the financial system. They take cash for goods and services at the same time as presenting earnings to professional workers via profits. additionally, they pay taxes to the government, and, in turn, advantage of the authority's spending in key regions (e.g. infrastructure).
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Rashid wants to try his luck at high-risk investments for good returns. However, he is worried that he may wind up losing money in the process. Which investment would be a best bet for Rashid?
A. mutual funds
B. stocks
C. money market account
D. certificates of deposit
E. saving account
Answer:
Explanation:
a. mutual funds for high risk n good returns
Answer:
Explanation:
The best bet as compromise between high-risk and good returns will be an investment in A. mutual funds.
How to find marginal revenue from demand function?
To calculate marginal revenue from a demand function, you will need to take the derivative of the demand equation with respect to price. If the demand equation of a demand curve and not a mathematical equation.
The midpoint method involves finding the midpoint between two adjacent points on the demand curve and calculating the price difference between them. The result of this calculation is then divided by the quantity difference between the two points. This will give you the marginal revenue.
For example, consider a demand equation with the points (50, 10) and (40, 15). The midpoint between these two points is (45, 12.5). To calculate the marginal revenue, subtract the price at the lower point (40) from the price at the midpoint (45). This gives us a price difference of 5. We then divide this difference by the quantity difference between the two points (10 - 15), which gives us a marginal revenue of -0.5.
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Vince’s Vehicle Repairs has a gross profit margin of 60% and a net profit margin of 22%. Turnover was £180000. Calculate other expenses
The net profit margin is calculated as follows:
Net Profit / Sales
We know the net profit margin is 22% and sales is £180000, so we can calculate the net profit:
Net Profit = 22% * £180000Net Profit = £39600
Gross profit is calculated as follows:
Gross Profit = Sales - Cost of Goods Sold (COGS)
We know the gross profit margin is 60% and sales is £180000, so we can calculate the gross profit:
Gross Profit = 60% * £180000
Gross Profit = £108000
The COGS can then be calculated as follows:
COGS = Sales - Gross Profit
COGS = £180000 - £108000
COGS = £72000
The other expenses are calculated as follows:
Other Expenses = COGS - Net Profit
Other Expenses = £72000 - £39600
Other Expenses = £32400
So the other expenses for VINCE’s Vehicle Repairs are £32400.
You own a mobile Taco Truck. You have a short list of competitors. Which TWO would be considered your Indirect Competition?
Select 2 correct answer(s)
A.) Mobile Fish and Chips Truck
B.) A local Taco Bell franchise
C.) Walk-up Mexican Food stand
D.) A local Burger King franchise
The two options that could be considered indirect competition for a mobile Taco Truck are (A) Mobile Fish and Chips Truck (C) Walk-up Mexican Food stand
Indirect competition refers to businesses that offer different products or services but still target the same customer base or satisfy similar customer needs. In this case, the Taco Truck, Fish and Chips Truck, and Walk-up Mexican Food stand all fall under the category of mobile food vendors and offer food options to customers.
The Mobile Fish and Chips Truck is an example of indirect competition because it provides a different type of cuisine compared to the Taco Truck. While the Taco Truck focuses on Mexican food, the Fish and Chips Truck specializes in seafood. However, both food trucks target customers who are seeking quick and convenient meals on the go, making them indirect competitors.
Similarly, the Walk-up Mexican Food stand is considered indirect competition because it also offers Mexican food but operates in a different format. Unlike the mobile food trucks, the stand is stationary and doesn't have the mobility aspect. However, it caters to customers looking for Mexican cuisine and offers a similar dining experience to the Taco Truck.
On the other hand, option B (local Taco Bell franchise) and option D (local Burger King franchise) would be considered direct competitors as they both operate in the fast food industry and offer similar types of food as the Taco Truck. These franchises have established brick-and-mortar locations and compete directly with the Taco Truck for customers seeking fast food options.
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Which of the following is least likely to be considered destructive or unfair competition?Collaborating with a competitor to establish prices so that each firm can ensure a certain levelof profitObtaining information through careful monitoring of the competitive environmentUsing a "bait and switch" method for selling products to customersLowering prices significantly in an effort to drive competitors out of a market, and then raisingprices afterwardsStealing competitors’ trade secrets
Collaborating with a competitor to establish prices so that each firm can ensure a certain level of profit is least likely to be considered destructive or unfair competition.
Among the given options, collaborating with a competitor to establish prices so that each firm can ensure a certain level of profit is the least likely to be considered destructive or unfair competition. This practice, known as price fixing, involves collusion between competitors to set prices at an agreed-upon level, which is generally illegal and against competition laws in most jurisdictions.
Price fixing is considered harmful to competition because it restricts market forces and eliminates the benefits of free and fair competition. It can result in inflated prices, reduced consumer choice, and hinder market efficiency. Price fixing eliminates the incentives for firms to compete on price, quality, or innovation, as they are instead cooperating to maintain profit levels without considering market dynamics or consumer demand.
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Last year beth's annual salary was $38,350. This year she received a promotion and now earns $46,462 annually. She is paid biweekly. A. What was her biweekly salary last year? round to the nearest cent. B. What is beth's biweekly salary this year? round to the nearest cent. C. On a biweekly basis, how much more does beth earn as a result of her promotion? round to the nearest cent.
A. Beth made $1597.91 biweekly in the last year.
B. Beth's biweekly pay this year is $1935.91 .
C. As a result of her promotion, she now makes $338 more every bi-week.
How can I convert a month into bi-week ?In order to convert months into bi-weeks, we must multiply the supplied months by 2. One month comprises two bi-weeks.
In consideration of the given question
Beth made 38350 dollars as annual salary last year.
∴ She was paid (38350/12) dollars per month.
= $3195.83 .
She receives payment every two weeks, or biweekly, which translates to twice a month.
∴ Her biweekly wage is
=(3195.83/2) Dollars
= $1597.91 (a).
She had a biweekly income of $1597.91 last year.
She was promoted this year, and her salary is now $44626 per annum.
Her biweekly wage is $
= ($46462/212) (since there are two biweekly in each month)
= $1935.91 (b).
She receives (1935.91 - 1597.91) dollars more in compensation as a result of her promotion.
= $338.
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Prime cost is directly related to production. So, per unit prime cost can be calculated easily. While on the other hand, overhead does not have direct relationship with production. So, to calculate per unit cost, overhead is classified according to functions.” Explain this statement and also summarize all the overheads according to their functional classification.
Basically, a firm's prime cost equals the total direct costs of production which includes the cost of raw materials and labor.
The prime cost equation is {Cost of raw materials + Direct labor}The overhead cost refers to those cost incurred while running a firm but can not be linked to creation of a product or service.
Overhead expenses is the cost remaining after deduction of direct labor, direct materials and direct expenses.
In conclusion, the prime cost and overhead cost are both significant in production of finished goods.
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One example of the role of democracy in education is
A. To prove that equality works among diverse learners
B. To provide equal pay for teachers
C. To cultivate civic responsibility in our students
D. To ensure equal success for all learners
According to the graph above, if the price of coffee falls while the consumer is in equilibrium at point a, which of the following will occur?
a) The indifference curve shifts to the right
b) Consumer balance does not change.
c) The budget line shifts. to the right only on the horizontal axis.
d) The consumer can buy more shoes with all of his income.
cobe company has manufactured 210 partially finished cabinets at a cost of $52,500. these can be sold as is for $63,000. instead, the cabinets can be stained and fitted with hardware to make finished cabinets. further processing costs would be $12,600, and the finished cabinets could be sold for $84,000. (a) prepare a sell as is or process further analysis of income effects. (b) should the cabinets be sold as is or processed further and then sold?
Based on the income effect analysis, processing the cabinets further and then selling them would be the better option to maximize profit, but other factors such as demand, competition, and resources should also be considered.
(a) To analyze whether the cabinets should be sold as is or processed further, we need to compare the income effects of both options. Selling the cabinets as is would generate a revenue of $63,000, while processing them further would generate a revenue of $84,000 after incurring processing costs of $12,600. Therefore, the income effect of selling the cabinets as is would be $63,000 - $52,500 = $10,500, while the income effect of processing further would be $84,000 - $52,500 - $12,600 = $18,900.
(b) Based on the income effect analysis, it appears that processing the cabinets further and then selling them would be the better option. The income effect of processing further is $18,900, which is higher than the income effect of selling as is, which is $10,500. This means that processing the cabinets further would generate a higher profit than selling them as is. Therefore, the company should process the cabinets further and then sell them to maximize their profit.
However, there may be other factors to consider such as demand for finished cabinets, competition, and the time and resources required for processing. The company should take all these factors into account before making a final decision.
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What kind of promotional activity is a gala dinner in support of cancer patients? A. advertising B. group sales C. personal selling D. public relations E. sales promotion
The kind of promotional activity used when a gala dinner is used to support the cancer patients is known as public relations. The Option D is correct.
What is public relations as promotional activity?Basically, a promotional activities refers to those techniques that marketing teams use to increase an awareness of their brand, products and services. This helps company to attract new customers, retain current customers and increase their company's revenue.
A public relations, as part of these activities include dialog as we must listen to the others, to see things through their perspective. This is made with the purpose to be useful for every organization, not for the sensational promotion of its achievements, but to become more critical towards its work.
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1. Describe how an apoptosis-inducing signal can transduce through intrinsic and extrinsic pathways to activate the initiator caspases. (10 marks)
Answer:
Explanation:
Apoptosis is an important biological process that regulates cell death and is essential for development, tissue homeostasis, and immune defense. Apoptosis-inducing signals can be transduced through intrinsic and extrinsic pathways to activate the initiator caspases.
The intrinsic pathway is initiated by cellular stress, such as DNA damage, hypoxia, or oxidative stress. These stress signals can activate the tumor suppressor p53, which in turn induces the expression of pro-apoptotic proteins such as Bax, Bak, and Puma. These proteins induce the release of cytochrome c from the mitochondria, which binds to Apaf-1 to form the apoptosome complex. The apoptosome complex recruits and activates initiator caspase-9, which then cleaves and activates the effector caspases-3, 6, and 7. This results in the cleavage of various cellular substrates, leading to the characteristic morphological and biochemical changes seen in apoptosis.
The extrinsic pathway, on the other hand, is initiated by extracellular signals such as cytokines, death ligands, or immune receptors. These signals bind to their respective receptors on the cell surface, which then activate caspase-8 through the recruitment of adaptor proteins such as FADD. Caspase-8 can also directly cleave and activate the effector caspases, leading to apoptosis. In some cases, the extrinsic pathway can also activate the intrinsic pathway through the cleavage of the pro-apoptotic protein Bid, which then translocates to the mitochondria and induces cytochrome c release.
In summary, apoptosis-inducing signals can transduce through both intrinsic and extrinsic pathways to ultimately activate the initiator caspases. These pathways intersect at various points and can crosstalk, leading to a coordinated and regulated cell death process.
the space shuttle challenger disaster is an example of: group of answer choices brainstorming bounded rationality groupthink cost-benefit analysis
The space shuttle Challenger disaster, which occurred on January 28, 1986, when the Challenger space shuttle exploded shortly after liftoff, resulting in the loss of all seven crew members, is an example of bounded rationality.
What is bounded rationality?
Bounded rationality refers to the concept that decision-making is often limited by human cognitive constraints, such as limited information processing capacity, time constraints, and cognitive biases. In the case of the Challenger disaster, the decision to launch the space shuttle was influenced by several factors, including pressure to meet deadlines, organizational culture, and incomplete information about the risks associated with the cold weather conditions on the day of the launch.
The decision to proceed with the launch despite concerns raised by engineers about the potential failure of the O-rings, which were later determined to be a critical factor in the disaster, was an example of bounded rationality. Decision-makers at NASA were operating within cognitive constraints and faced challenges in fully assessing the risks and making a fully informed decision.
Brainstorming, on the other hand, is a creative problem-solving technique that involves generating a large number of ideas or solutions in a group setting.
Cost-benefit analysis is a decision-making approach that involves comparing the costs and benefits of different options to determine the most favorable choice.
While these decision-making methods can be used in various contexts, they were not directly associated with the Challenger disaster.
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Moose utilities ltd. (MUL) borrowed $40,000,000 in U.S funds on January 1, year 1 at an annual interest rate of 12%. The load is due on December 31, Year 4, and interest is paid annually on December 31. The Canadian exchange rates for U.S dollars over the life of the loan were as follows:
January 1, year 1 CND $1.159
December 31, year 1 CND $1.168
December 31, year 2 CND $1.160
December 31, year 3 CND $ 1.152
December 31, year 4 CND $ 1.155
Exchange rates changed evenly throughout the year.
Required
Prepare journal entries for MUL for year 1.
Calculate the exchange gains or losses that would be reported in the profit of the company each year over the life of the loan.
In Year 1, Moose Utilities Ltd. (MUL) would record a journal entry to recognize the borrowing of $40,000,000 in U.S. funds. They would also record an exchange gain of $1,040,000, reflecting the increase in the Canadian dollar's value against the U.S. dollar.
In Year 1, Moose Utilities Ltd. (MUL) borrowed $40,000,000 in U.S. funds at an annual interest rate of 12%. To record this borrowing, MUL would make the following journal entry:
Debit: Cash $40,000,000
Credit: Long-term Debt $40,000,000
This journal entry acknowledges the receipt of cash from the loan and the creation of a long-term debt liability.
Additionally, MUL needs to account for the exchange gain or loss resulting from the fluctuation in the Canadian exchange rates. The loan was taken on January 1, Year 1, and the exchange rates changed evenly throughout the year. Given that the exchange rate on December 31, Year 1, was CND $1.168, higher than the rate on January 1, Year 1, MUL would recognize an exchange gain.
The exchange gain is calculated by taking the difference between the exchange rate at the end of the year and the initial exchange rate, and multiplying it by the loan amount. In this case, the exchange gain is ($1.168 - $1.159) × $40,000,000 = $1,040,000.
Therefore, MUL would make the following journal entry to record the exchange gain:
Debit: Exchange Gain $1,040,000
Credit: Foreign Exchange Reserve $1,040,000
This journal entry acknowledges the increase in value resulting from the exchange rate change and represents the exchange gain reported in the company's profit for Year 1.
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in order to assess the performance of their firms and their supply chains, what do managers need to do to determine the needs of those customers?
a. Look at each segment of the markets they serve
b. Help identify new customer requirements
c. Rely on traditional performance measures
d. Collaborate in pricing of products
The correct option to the given question about assess the performance of their supply chains is option a) . Take a look at each market category they serve.
A corporation can generally use one of six major models to direct its supply chain management procedures.
The continuous flow model, one of the more established supply chain strategies, works best for developed sectors. The continuous flow model assumes that a producer will consistently produce the same good and that customer demand will be relatively stable. Agile Strategy: This model works best for businesses that provide products that customers order or have unexpected demand. This model places a premium on adaptability because a business must be ready to change course at any time in the event of a specific requirement.
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Will the grading period effect what college you will go to later on?
A (True)
B (False)
Answer: A
Explanation:
Answer:
NO
Explanation:
A nation's supply of capital refers to its level of
a. common stocks and corporate bonds.
b. financial wealth.
c. production equipment.
d. monetary balances.
The correct answer is c. production equipment. A nation's supply of capital refers to the physical assets, such as machinery, equipment, and buildings, that are used to produce goods and services.
This type of capital is known as "physical capital" and is a critical factor in determining a nation's level of economic growth and development.
Product equipment refers to the machinery, tools, and other resources used in the production of goods. This includes everything from assembly line equipment to computer software and hardware used in product design and development.
In order to produce goods efficiently and effectively, companies must invest in the right product equipment. This requires careful planning and analysis of the production process, as well as an understanding of the specific equipment and technology needed to produce high-quality goods.
The choice of product equipment can also have an impact on the quality and cost of the final product. For example, investing in advanced manufacturing equipment may lead to higher productivity and efficiency, while also reducing the risk of errors and defects in the finished product.
Overall, product equipment plays a critical role in the production of goods, and companies must carefully consider their equipment needs in order to remain competitive in today's global economy.
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Yesterday in class we discussed 4 Era’s of Marketing and how the situation of the world at that time impacted businesses, specifically, marketing. The assignment is to choose ONE of the following era’s and write a letter to a loved one as if you were just starting a job during the marketing era of your choice. In your letter you should mention what is happening in the world to cause this shift in marketing, and what your role is going to be. You can choose which company you are working for: maybe you are starting a job on the assembly line, or becoming a door to door salesperson! Be creative and have fun with it. If you want, try to imagine what the world was like during that time period and use language or current events to make your letter sound more believable.
The letter should be at least 2 paragraphs long and should display that you understand how businesses are using marketing in this new era.
4 Eras:
Production Era (1800’s - 1920)
Selling Era (1920s - 1950s)
Marketing Era (1950s - 1990s)
Value Era ( 1990s - Current )
How to Get rid of my Modules without getting caught by my Mom
Answer:
for me going away from home or background of home
By identifying and investing early in a potential future economic star, international firms can ________ and gain experience in that country's business practices. Group of answer choices build brand loyalty build infrastructure begin to stockpile that country's currency learn which government officials need to receive kickbacks
Answer:
build brand loyalty
Explanation:
The companies could develop the brand loyalty via a deep understanding of the customer priorities and their buying behavior also it aligned what they stand. Here the effective brand would create the strong and creative identity that can the customer can related also this identity would remain the same over the time period
Therefore as per the given situation, it is a build brand loyalty
if d varies directly as t and d = 20.5 when t=12 find:(a) the value of the constant (b) the relationship between d and t (c) the value of d when t =6.
Answer:
(a) \(k=\frac{41}{24}\)
(b) \(d=\frac{41}{24} t\)
(c) \(d=\frac{41}{4}\)
Explanation:
As d varies directly as t,
\(d=kt\)
Here, k is a constant.
(a)
Put \(d=20.5\,,\,t=12\)
\(20.5=12k\\\\k=\frac{41}{24}\\\\k= 1.71\)
(b)
Put \(k=\frac{41}{24}\) in \(d=kt\)
\(d=\frac{41}{24} t\)
(c)
Put \(t=6\) in \(d=\frac{41}{24} t\)
\(d=\frac{41}{24} (6)\\\\d=\frac{41}{4}\)