8000 dollars is invested in a bank account at an interest rate of 10 per cent per year, compounded continuously. Meanwhile, 19000 dollars is invested in a bank account at an interest rate of 4 percent compounded annually.
Answers
The question states that $8000 is invested in a bank account at an interest rate of 10% per year, compounded continuously. Meanwhile, $19000 is invested in a bank account at an interest rate of 4% compounded annually.
To calculate the future value of the first investment, we can use the formula for continuous compounding:
A = P * e^(rt)
Where:
A = the future value
P = the principal (initial amount)
e = the base of the natural logarithm (approximately 2.71828)
r = the interest rate (as a decimal)
t = the time in years
Using the given values, we have:
P = $8000
r = 10% = 0.1 (as a decimal)
t = 1 year
Plugging these values into the formula, we get:
A = $8000 * e^(0.1*1)
Next, we need to calculate the future value of the second investment using the formula for annual compounding:
A = P * (1 + r)^t
Where:
A = the future value
P = the principal (initial amount)
r = the interest rate (as a decimal)
t = the time in years
Using the given values, we have:
P = $19000
r = 4% = 0.04 (as a decimal)
t = 1 year
Plugging these values into the formula, we get:
A = $19000 * (1 + 0.04)^1
Now, let's calculate the values:
For the continuous compounding:
A = $8000 * e^(0.1*1)
For the annual compounding:
A = $19000 * (1 + 0.04)^1
Simplifying the expressions:
For the continuous compounding:
A = $8000 * e^(0.1)
For the annual compounding:
A = $19000 * (1.04)
Calculating the values using a calculator, we get:
For the continuous compounding:
A ≈ $8,744.44
For the annual compounding:
A ≈ $19,760.00
Therefore, the future value of the $8000 investment with continuous compounding after one year is approximately $8,744.44, while the future value of the $19000 investment with annual compounding after one year is approximately $19,760.00.
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Related Questions
On January 1, 2020, Bank X makes a loan of $10,000 on a 1 year note at an interest rate of 10% to a client. How much interest revenue is recognizable in total at the end of September 30, 2020
Answers
To calculate the interest receivable on this note, the math would be as follows:
Principal X Interest X Time = Interest receivable
or
What are the three types of money you should use when paying for college, and what type of money are scholarships and grants?.
Answers
Loans, grants, and work-study are the three categories of federal financial aid.
Grants are typically offered based on financial need, whereas scholarships are merit-based and given to students based on their academic performance, extracurricular involvement, field of study, and other factors.
Financial aid is cash that you are given or lent in order to help you pay for college. Financial aid that you don't have to pay back includes grants and scholarships. They are known as gift aid because of this.
Some college finance methods are:
Try to get a scholarship. Obtain a college grant by applying. Like scholarships, grants for college are based on financial need and are not repaid.Federal student loans and private student loans.Work study programmes at colleges.To know more about college scholarship refer to the given link:
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The market ______ stocks of a stock is the price at which a share of stock can be bought and sold in the stock market.
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Answer:
The market joint stork of a stork is the price at which a share of stork can be bought and sold in the market.
the company pays its telephone bill for the month. what affect would this have on an expense account?
Answers
The effect company would have on expense account would be: Expenses increase with a debit to "telephone expense."
A debit is an accounting entry that changes the balance sheet of a business by increasing assets or decreasing liabilities. In fundamental accounting, credits, which work in the exact opposite direction, counterbalance debits.
Depending on the loan's terms, a company might, for instance, simultaneously debit fixed assets and credit a liabilities account if it takes out a loan to buy equipment. All double-entry accounting systems have a feature known as a debit. Credits are the contrary of debits. Money is taken out of an account by making a debit, and money is put in by making a credit.
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Which expense category will most likely be changed to allow money for the purchase of a car? savings Which expense category will most likely be changed to allow money for the purchase of a car?
savings
groceries
utilities
entertainmentgroceries utilities entertainment
Answers
Answer:
D. entertainment
you need to have $30,250 in 9 years. you can earn an annual interest rate of 4 percent for the first 5 years, and 4.6 percent for the next 4 years. how much do you have to deposit today?
Answers
You have to deposit $13,740.58 today.
What is a deposit?Placing money with an organization, most frequently a bank, is known as making a deposit. The deposit is a credit for the party (individual or organization) who made it, and it may be withdrawn (taken back) in accordance with the terms decided upon at the time of deposit, transferred to another party, or applied to a purchase at a later time. For the most part, banks get their money from deposits. An instant withdrawal or other debit is possible with a demand deposit. Transaction accounts allow for the payment of third parties, whereas savings accounts are typically only payable to the depositor or another bank account and may have withdrawal frequency restrictions.
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Additional Algo 2-1 Little's Law People enter an airport security checkpoint at the rate of 72 people per minute. There are on average 3,200 people in the airport security checkpoint. Instruction: Round your answer to three decimal places. On average, how long does a person spend in the airport security checkpoin
Answers
Using Little's Law, we find that the average time a person spends at the airport security checkpoint is about 44.444 seconds, given an arrival rate of 72 people per minute and an average of 3,200 people at the checkpoint.
Little's Law is a fundamental concept in queueing theory that relates the average number of customers in a system (N) to the arrival rate (λ) and the average time spent in the system (W). In this scenario, we know that the arrival rate at the airport security checkpoint is 72 people per minute and the average number of people in the system is 3,200. By plugging these values into Little's Law and solving for W, we get an average time spent in the system of approximately 44.4444 seconds per person. This means that on average, a person spends about 44.4444 seconds at the airport security checkpoint before they complete the process and exit.
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To create a balanced budget one, must make sure to...
a) spend as little as possible
b) pay credit card payments first
c) spend less than or equal to income
d) pay off debts first
Answers
Answer:
c) spend less than or equal to income
by spending less than or equal to, you are balancing a budget. You are creating a balance between income and expense, which supports a steady/consistent, and logical budget.
^entire answer has been updated.
do all of the following except ________ when you're editing a document for conciseness.
Answers
False. A manager with strong conceptual skills is able to think well in abstract terms, not concrete terms.
Conceptual skills refer to the ability to think about complex and abstract ideas, concepts, and situations, and to understand how they relate to each other. Managers with strong conceptual skills are able to see the "big picture" and understand how different parts of the organization fit together. They are able to analyze and solve complex problems, identify patterns and trends, and develop strategies and plans for the organization's success. In contrast, managers with strong technical skills are able to perform specific tasks and functions within the organization, while managers with strong interpersonal skills are able to communicate and work effectively with others. All of these skills are important for managers to have, but conceptual skills are particularly important for those in top-level management positions.
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5 objectives of an entrepreneur.
Answers
Answer:
Explanation:
An entrepreneur is a person that sets up a business for the aim of making profits and of social benefits to the society . An entrepreneur bears the risks and rewards alone.
The five objectives of an entrepreneur are listed as below.
1) Profit making: This is one of the primary objectives of an entrepreneur and it is a basis on which some other objectives are built , being a source of cash generating to achieve other objectives.
2)Acquiring the right talents and skills ; An entrepreneur will like to have the right skills and talent in his team for efficiency , effective and economy purposes.
3)Growth ; An entrepreneur aims at growth as the level of profit generated is directly related to the growth attained. The higher the growth, the higher the profit.
4)Sustainability : Another goal is sustainability . He will work towards maintaining his position in the market to ensure going concern . Every business is confronted with competition which can take a business down if not well managed.
5)Online positioning : Taking advantages of online opportunities is critical to success in businesses. He will like to leverage on online opportunities for growth and sustainability.
When the optimal point on an indifference curve and budget line diagram is a corner? solution,A. the marginal rate of substitution usually does not equal the ratio of prices for the two goods.B. the budget line must have a kink in it.C. the consumer does not spend her entire budget on the two goods.D. All of the above.
Answers
When the optimal point on an indifference curve and budget line diagram is a corner, it means that the consumer is maximizing her utility by choosing to consume only one of the two goods.
Option A is correct in that the marginal rate of substitution (MRS) usually does not equal the ratio of prices for the two goods. This is because the MRS represents the rate at which the consumer is willing to substitute one good for another to maintain the same level of utility.
Therefore, the correct answer is D. All of the above.
The correct answer for when the optimal point on an indifference curve and budget line diagram is a corner solution is: A. the marginal rate of substitution usually does not equal the ratio of prices for the two goods. In this case, the consumer is consuming only one of the goods, as it provides greater utility than the other good, given the budget constraint.
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Someone who creates attractive presentations of food dishes for magazines is called which of the following?
a. food stylist
b. research chef
c. personal chef
d. food preparation worker
Answers
Answer:A
Explanation:
Hasty Manufacturing orders 86,000 annually. They order 6 times a year. They hold 6,468 units in safety stock. The minimum number of units Hasty Manufacturing holds throughout the year is:__________
Answers
Answer:
6,468 units
Explanation:
Based on the information given we were told that the Manufacturing company orders 86,000 per year which they order 6 times a year which means that if the manufacturing company HOLD 6,468 units in safety stock. The MINIMUM number of units the Manufacturing company will HOLDS throughout the year is:6,468 units which was HOLD in Safety stock.
which part of the statements about this W-4 is TRUE?
Answers
The true statement that we can say from the w-4 that we have here would be that By claiming 3 allowances, Mr. Khan will have less tax taken out of each paycheck than if he claimed just 1 allowance.
What is a w-4?This is the term that is used to refer to one of the forms that the workers in an organization would have to fill. The work that the W-4 does is that it helps the employers to be able to withdraw the federal income taxes from the pay of the worker that is in that organization.
From the question that we have here, the true statement would have to be that the man would have had less money taken from the amount that he earned if his allowance was just 1.
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The competitive firm's long-run supply curve is that portion of the marginal cost curve that lies above average.
Answers
It should be noted that competitive firm's long-run supply curve is the part of marginal cost curve that lies above average.
What is long-run supply?The long-run supply can be regarded as the supply of goods available in case whereby the inputs are variable.
The long-run supply curve can be referred to as been elastic than the short-run supply curve.
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What is the first step in the standard purchasing process practiced by most
companies?
A. Solicit bids
B. Requisition
C. Invoicing
D. Purchase order
Answers
Answer:
B. requisition
Explanation:
i have done this before, hope i helped
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samuel's boss makes no managerial decisions but asks his employees to take the necessary steps in all aspects of work. samuel's boss follows a(n) decision-making style.
Answers
Samuel's boss follows a laissez-faire decision-making style.
Laissez-faire is a French term that means "let it be" or "leave it alone". In a managerial context, laissez-faire refers to a leadership style in which the manager takes a hands-off approach and allows employees to make their own decisions and take the necessary steps in all aspects of work. The manager provides little direction or guidance, and instead focuses on creating a supportive work environment and empowering employees to be self-directed and independent.
In the given statement, Samuel's boss makes no managerial decisions but asks his employees to take the necessary steps in all aspects of work. This describes a laissez-faire decision-making style, as the manager is not actively involved in making decisions, but instead delegates responsibility to employees and allows them to make their own decisions.
This style can be effective in certain situations where employees are highly skilled and motivated, and do not require close supervision or direction. However, it can also lead to confusion or conflict if employees are not clear on their roles and responsibilities or if there is a lack of communication and coordination among team members.
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The Italy can produce 20 Gas turbines and 60 Tyres. France can produce 80 Gas turbines and 30 Tyres.
a). What is the opportunity
cost of producing Gas turbines in Italy? ______ tyres.
b). What is the opportunity cost of producing Tyres in
France ? _______ Gas turbines.
Answers
Answer:
1. 60 Tyres
2. 80 Gas Turbines
Explanation:
Given that the Opportunity cost is an economics term that is used in describing the cost of an alternative that must be forgone to continue or proceed with a certain activity.
Hence, in this case, considering the available information in the question, the correct answer is that the opportunity cost of producing Gas turbines in Italy is 60 Tyres.
At the same time the opportunity cost of producing Tyres in France 80 Gas turbines.
Activities that increase and decrease cash as a result of buying and selling a company's own stock are?
Answers
Cash float from investing activities is a area of the money go with the flow statement that shows the money generated or spent referring to to funding activities. Investing activities include purchases of bodily assets, investments in securities, or the sale of securities or assets.
What three major things to do affect the money flows of a business?The three categories of cash flows are operating activities, investing activities, and financing activities.
Which of the following is an instance of a money out glide for a business?Obvious examples of cash outflow as skilled through a large vary of corporations consist of employees' salaries, the renovation of business premises and dividends that have to be paid to shareholders. The opposite of cash outflow is cash inflow, which refers to the cash coming into a business.
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Answers
can you finish the question please
Document 3: What happens to competition in a communist system?
Answers
Answer:
Explanation:
In a communist system the central authority dictates the means and quantity of production , and gives strict rules on businesses. Since there is no competition amongst firms , each is given the amount of money and each wo0rker is paid the same with same expectations of each.
why do competitive markets work better for life insurance than for income insurance?
Answers
Answer:Because insurance market is competitive, when companies become profitable, they start adopting a more lenient underwriting criteria and lower their premiums to grab more market share.
Explanation:
Other insurance companies react by adopting the same policies, to prevent their shares taken away or to increase their market share.
At a local grocery store, travis, the produce department manager, has eight direct reports in his department, while rayah, the meat department manager, oversees 12 employees. which of these statements about span of control is accurate?.
Answers
Rayan had more span of control than Travis.
What is span of control?It helps to describe the channel of command in an organization.
It can also help to know how many individual works directly under a superior or head.
The number of people that are managed by a superior will determine his or her span of control.
Therefore, Rayan had more span of control than Travis
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Assume your company’s sales increased from $3 million last year to $10 million this year. However, your biggest competitor is still the market leader with a 40% share of the $200 million widget market. Your other four competitors had sales this year of $53 million, $38 million, $12 million, and $7 million, respectively. For this year, what is your company’s MARKET SHARE? Type only a number along with a $ or % (if appropriate). Dollar amounts should be rounded to the nearest cent; percentages to the nearest tenth. *
Answers
Answer: 5%
Explanation:
The market share for the company will be gotten using the formula:
= Sales generated by company / Total industry sales × 100
= 10/200 × 100.
= 5%
Therefore, the company's market share is 5%
T/F : Stocks have both diversifiable risk and undiversifiable risk, but only diversifiable risk is rewarded with higher expected returns.
Answers
The assertion The claim that only residual risk risk is paid with greater anticipated returns is untrue. Stocks have both systematic and unsystematic and undiversifiable risk.
What does "stock" mean in its simplest form?A stock, often known as equity, is a financial instrument that symbolizes ownership in a portion of the issuing company. According to the number of shares they possess, shares, also known as article of stock, provide their owners a proportionate share of both the bank's profit and assets.
Briefing:The risk that is special (unique) to the firm or the industry and that is occasionally additionally under the power of the company's management, such as business risk, operational risk, etc., is known as diversifiable risk, also known as unsystematic risk.
When an investor has wholly and sufficiently embraced their portfolio, they are no longer outed to this hazard and are only beholden to risk is also known (market risk, such as interest rate fluctuations, economic downturn), for which they are rewarded with higher returns instead of for diversifiable risk. These risks can be reduced or almost completely erased by diversity by investing in a portfolio of different stocks.
Beta, a measure of the unsystematic risk (market risk), is a crucial input in the Capital Asset Pricing Model. (CAPM) used to calculate anticipated return.
Expected return (Re) = Risk free rate + (Beta x Market risk premium)
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Ralph is leasing a $32,000 car for 36 months. The terms of his lease include an 8. 5% interest rate (money factor of 0. 00354) and a residual value of 72%. Determine Ralpha's approximate monthly lease payment. A. $145. 00 b. $230. 40 c. $248. 89 d. $443. 73.
Answers
Based on the information given Ralpha's approximate monthly lease payment is d. $443. 73.
Residual value=$32,000×72%
Residual value=$23,040
Depreciation=$32,000-$23,040
Depreciation=$8,960
Base monthly lease payment=$8,960/36
Base monthly lease payment=$248.89
Interest per month=($32,000+$23,040)×0.00354
Interest per month=$55,040×0.00354
Interest per month=$194.84
Monthly lease payment=$248.89+$194.84
Monthly lease payment=$443.73
Inconclusion Ralpha's approximate monthly lease payment is d. $443. 73.
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In which careers could someone be self employed? Check all that apply. Greenhouse Manager Animal Breeder Public Parks Groundskeeper Food Inspector Baker Recycling Facility Inspector Agricultural Equipment Operator.
Answers
The careers where an individual can be self employed include:
Greenhouse manager.Animal breeder Baker.Agricultural equipment operator.A self-employed person simply means an individual who earns their living from any independent pursuit of economic activity.
It's the state of working for oneself. Examples include greenhouse manager, animal breeder, baker, and gricultural equipment operator.
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Answer:
Greenhouse manager.
Animal breeder
Baker.
Agricultural equipment operator.
Explanation:
A factory that makes potato chips could use a ________ to assess its impact on people, the planet, and profits. In reviewing different company portfolios, where in the company would you guide her to be successful with her research
Answers
A factory that makes potato chips could use a social audit to assess its impact on people, the planet, and profits. The correct option is B.
A social audit is evaluating a company's impact on people, the environment, and revenues, with a particular emphasis on environmental sustainability, social responsibility, and ethical practices.
This form of evaluation assists a business in understanding its social and environmental imprint and identifying areas for development. This could entail examining statistics on waste management, energy consumption, labor practices, community engagement, and other elements that contribute to the overall impact of the firm.
Thus, the ideal selection is option B.
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The complete question might be:
A factory that makes potato chips could use a ________ to assess its impact on people, the planet, and profits. In reviewing different company portfolios, where in the company would you guide her to be successful with her research?
Multiple Choice Options
A strategic alliance
B social audit
C Fair Trade purchase
D crowdfund
give four reason as to why being an entrepreneur is beneficial than a doing a job
Answers
Answer:
Hope this helps!
4 reasons:
Explanation:
1) Being an entrepreneur is beneficial because it helps you get to know yourself better. You get to be your own boss.
2) Entrepreneurs get to make their own schedule. You can work for flexible hours.
3) You get to be more independent. Taking entrepreneurship will grant you freedom.
4) Choosing to be an entrepreneur is a big risk. This means your taking a challenge in your life. You'll make yourself stronger!
The best part though? It is a big satisfaction when you succeed, yeah and you'll definitely be proud of yourself.
the rule for the optimal use of any input states that a. when mrp is less than price, profit will increase when more of that resource is utilized. b. when mrp is greater than resource price, profit will increase when more of that resource is utilized. c. when mrp equals price, profit will increase when less of that resource is utilized. d. when mrp is greater than resource price, profit will increase when less of that resource is utilized. e. resources should be used only if mrp exceeds product price.
Answers
The correct statement for the rule of optimal resource use is: e. Resources should be used only if the Marginal Revenue Product (MRP) exceeds the resource price.
The Marginal Revenue Product (MRP) is the additional revenue generated by employing an additional unit of a resource, such as labor or capital. The resource price refers to the cost or price of acquiring and utilizing that resource.
To optimize resource use, it is most profitable to employ additional units of a resource only if the MRP, the additional revenue generated, exceeds the cost or price of acquiring that resource. If the MRP is higher than the resource price, employing more of that resource will increase profit. However, if the MRP is lower than the resource price, employing more of that resource would result in diminishing returns and lower profitability.
Therefore, the statement e. "Resources should be used only if MRP exceeds product price" accurately represents the rule for the optimal use of any input.
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