An investment of ​$ was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned​ 8% interest, the second​ 6%, and the third​ 9%. Total interest from the investments was The interest from the first investment was times the interest from the second. Find the amounts of the three parts of the investment. What is the amount of the first part of the​ investment? ​$ nothing What is the amount of the second part of the​ investment? ​$ nothing What is the amount of the third part of the​ investment? ​$ nothing Enter your answer in each of the answer boxes.

Answers

Answer 1

Answer:

18,000 is invested at 8%.

12,000 is invested at 6%.

20,000 is invested at 9%.

Explanation:

x = amount invested at 8%.

y = amount invested at 6%.

z = amount invested at 9%.

x + y + z = 50,000

.08x + .06y + .09z = 3960

interest on the first investment is equal to 2 times interest on the second investment.

.08x = 2 * .06y

solve for x to get x = .12y/.08 = 1.5y

since .08x = .12y, you can replace .08x with .12y.

since x = 1.5y, you can replace x with 1.5y

your two equations of x + y + z = 50,000 and .08x + .06y + .09z = 3960 become:

1.5y + y + z = 50,000

.12y + .06y + .09z = 3960

combine like terms in both equations to get: 2.5y + z = 50,000

.18y + .09z = 3960

you now have 2 equations with 2 unknown variables which can be solved simultaneously for a unique solution.

we will eliminate the z variable from the 2 equations in the following manner.

multiply both sides of the first eqution by 9 and multiply both sides of the second equation by 100.

you will get:

2.5y + z = 50,000 becomes 22.5y + 9z = 450,000.

.18y + .09z = 3960 becomes 18y + 9z = 396,000.

the 2 equations are now:

22.5y + 9z = 450,000

18y + 9z = 396,000

subtract the second equation from the first to get:

4.5y = 54,000

divide both sides of this equation by 4.5 to get:

y = 12,000

since x = 1.5y, then x must be equal to 18,000

since x + y + z = 50,000, then z must be equal to 20,000

you have:

x = 18,000

y = 12,000

z = 20,000

the interest on each of these investments is:

.08 * 18,000 = 1,440

.06 * 12,000 = 720

.09 * 20,000 = 1,800

add up the investments and you get 50,000

add up the interest and you get 3,960

the interest on the first investment is 2 times the interest on the second investment because 1,440 = 2 * 720.

all results are confirmed as good.

your solution is:

18,000 is invested at 8%.

12,000 is invested at 6%.

20,000 is invested at 9%.


Related Questions

When Mexico and the United States agreed to reduce and eliminate trade barriers, the countries demonstrated which of the following terms?
Economic integration
O Political stability
O Exchange rate
O Direct investment

Answers

Economic interrogation

Consider the population consisting of all computers of a certain brand and model, and focus on whether a computer needs service while under warranty. (a) pose several probability questions based on selecting a sample of 300 such computers. (select all that apply.)

Answers

Answer:

Based on selecting a sample of 300 computers The probability questions are follows

1. . What is the probability that no computer needs service within the warranty period?

2 . What is the probability that more than half of the computers that are sampled will need warranty period?

3. What is the expected number of computers fail before the warranty period?

Suppose economic conditions call for a tax increase but Congress does not implement this measure because an election is approaching. This is an example of which of the real-world problems associated with fiscal policy?

Answers

Answer:

Implementation lag

Explanation:

there are four types of lags associated with fiscal policy

Administrative lag is the time it takes to enact the needed policies. Operational lag is the time it takes for the policy to be enacted to the time the effects are felt in the economy

Recognition lag is the amount of time it takes for authorities to recognise a problem in the economy that needs fiscal policy intervention.

Implementation lag is the amount of time it takes for fiscal policy decisions to be implemented.

b. he believed they should be cut as a matter of fairness and good economic policy

Cutco is a manufacturer of high-end cutlery for the home chef and markets their products through a sister company, Vector Marketing who often contracts with college students who are independent sales representatives for the company. Vector provides free product and sales training to their independent sales representatives and encourages them to take food with them on sales calls such as apples, cucumbers, tomatoes or other fresh produce so that prospective customers can actually use the knives and experience the Cutco difference. In addition, Cutco is relatively famous for their kitchen shears that can cut through a penny and during training, all Vector Marketing representatives are taught how to show the versatility and value of the shears. Which step in the sales process would a Vector Marketing representative have customers use the knives or kitchen shears

Answers

Answer:

demonstration / presentation

Explanation:

generally the sales process is divided into 7 or 8 stages, I personally prefer the 7 stage approach specially for B2C (business to consumer) products:

ProspectingPreparation ApproachPresentation or demonstration depending on the product: e.g. in this case, the marketing representatives show their potential customers how their knifes, forks and other cutlery work. They are demonstrating the differences between using their products vs the competition. Handling objectionsClosingFollow-up

Guillaume has persuaded Valve to support development of a new game. He has a vision of a tile-based game. His six employees are technical experts in game design and will follow his vision. He needs their expertise and creativity in working out the interactions and details. Guillaume should take a ________ style of leadership.

Answers

Answer:

autocratic

Explanation:

Autocratic leadership is the leadership in which there is a control of an individual over all the decisions and less input should be from the members n the group.

It made the selection of the choices that depend on the ideas and judgments and do not accept the advice given by the followers

Here the given situation represents the autocratic leadership and the same is to be considered

Walmart began offering low-priced extended warranties on home electronics after learning that its rivals such as Best Buy derived most of their profits from extended warranties. According to the Stalk and Lachenauer book, this is an example of the strategy to

Answers

Complete/Correct Question:

Walmart began offering low-priced extended warranties on home electronics after learning that its rivals such as Best Buy derived most of their profits from extended warranties. According to the Stalk and Lachenauer book, this is an example of the strategy to

A) plagiarize with pride.

B) deceive the competition.

C) devastate rivals profit sanctuaries.

D) unleash massive and overwhelming force

Answer:

c, devastate rivals profit sanctuaries

Explanation:

For Walmart to start making as much or more profits than its rival, Best Buy, it decided to head in the same direction as Best Buy by offering low-priced extended warranties on home electronics.

This action simply means that Walmart has infiltrated the profit strategy system of Best Buy and is using that a a competitive edge to also increase customer base as people will prefer to go Walmart as it has become cheaper.

Devastating rivals profit sanctuaries therefore means targeting the area or strategy of rivals to make more profit.

Cheers.

Under the __________ Clause of the U.S. Constitution, treaties become part of the law of the land.

Answers

Hey There!!~

Your answer choice is Supremacy Clause...

Hope This Helps!!~

By ♡~Itsbrazts♡~

If the quantity demanded at a price of $10 is 2,000 and the quantity demanded at a price of $8 is 2,400, a price-discriminating monopolist would want to:

Answers

Answer:

D. sell 2.000 units for $10 each and then sell an additional 400 units for $8 each

Explanation:

Since in the question it is mentioned that

Quantity demanded is 2,000 at a price of $10

And, the other case is

Quantity demanded is 2,400 at a price of $8

So here we can conclude that

The quantity demanded of 2,000 would be at a price of $10

And, the additional units i.e. 400 (2,400 - 2,000) would be at a price of $8

Therefore the correct option is d.

A customer has contacted you and expressed anger about the service provided by your company. During the call, you discover that another technician responded to the customer's original issue. In spite of the customer's tone, you remain calm. What should you do next?

Answers

Answer:

listen to the entire complaint

Explanation:

In the scenario being described, you should listen to the entire complaint. This will make the customer feel as though you are paying attention and listening/understanding her frustration and by doing so you might also acquire new information regarding the issue that was not previously shared to the other technician. Once the client has finished venting her anger and explaining the situation, only then should you begin to offer a solution.

"Your supervisor repeatedly informs you that "Goals without objectives are essentially meaningless." What is the rationale for such a philosophy?"

Answers

Answer:

progress is impossible to track without measurable performance targets.

Explanation:

The rationale for this philosophy is that progress is impossible to track without measurable performance targets. Meaning that without actively keeping track of the progress you make throughout your journey it will continue seeming as though you are not advancing at all towards your end goal. That is why you need objectives or smaller milestones that act as accomplishments and let you know that you are making progress towards achieving the goal that you have been working towards.

A coupon-dispensing machine in a grocery aisle and an employee handing out free samples of a new product are both examples of ________.

Answers

Answer:

POP stimuli

Explanation:

POP stimuli refers to activities that are used to get customers to purchase products when they visit a website or a physical store. According to this, the answer is that a coupon-dispensing machine in a grocery aisle and an employee handing out free samples of a new product are both examples of POP stimuli because these are activities that companies implement in stores to encourage customers to purchase products.

Hua, a resident of Illinois, owns a commercial building in Indiana. A dispute arises over the ownership of the building with Jac, a resident of Kentucky. Jac files a suit against Hua in Indiana. In this suit, Indiana has

Answers

Answer:

in rem jurisdiction

Explanation:

In the specific law suit that is being described, Indiana has in rem jurisdiction over the court case. This refers to a legal term describing the power that a court may exercise over a specific property or even a "status" against an individual whom the court does not have in personam jurisdiction, meaning that the court does not have authority over that individual. In this case, Indiana does not have jurisdiction over Jac but does have in rem jurisdiction over the commercial building in question.

The Uniform Commercial Code states that any sample or model that is made part of the basis of the bargain creates an express warranty that the whole of the goods will conform to:

Answers

Answer:

description

Explanation:

Uniformity means that all goods are of similar nature, or in case when the goods are meant to  be different, the goods are of quality standards.

This is the basic condition.

The Uniform Commercial Code ensures this above basic principle. Accordingly if there is a sample of a product that means the sample creates a common understanding that all other products are similar, and also that the there is a inbuilt warranty that the whole of the goods are as described and as depicted by the sample.

Q. Rakesh owns a garment shop. He wants to expand his business but he is confused whether to appoint a manager or go in for a partner. Which is the better option and why?

Answers

Answer:

He should appoint a manager.

Explanation:

Rakesh must appoint a manager if he wishes to expand his business of garment shop. The manager will constantly strive to attain the desired goals on behalf of Rakesh. It will give sufficient time to him which he can use in looking for new target markets and customers, new products or items which he can add on to his shop, and much more. Meanwhile, the manager will lead the work and keep ensuring that the employees are working efficiently by motivating them. He will take all the necessary decisions to ensure that the intended profits and goals are achieved.

A large hospital is having a hard time keeping track of patients’ needs as they move among doctors, pharmacies, blood labs, and nursing stations. What is the best solution an IT professional could recommend to help?

Answers

Answer:

Give the patients RFID tags to identify their medical records

Explanation:

Radio-Frequency Identification (RFID) identifies, automatically, tracking tags assigned to objects through electromagnetic fields sent, actively or passively by the tags attached to the object.

The RFID tag sends wireless digital data giving the identification number in response to interrogatory electromagnetic signal emitted by a RFID reader device that is in range

The identification number can then be translated to give the complete specification of concerning the tag

As such a patient putting in the tag, automatically opens up is medical record as he moves from doctors to blood labs to pharmacies within the same hospital.

Answer:

Give patients RFID tags to identify their medical records.

Explanation:

i took the review and got it right hope this helps ∞UwO∞

if you want a low monthly payment in a lot of time to repay your student loan you should select what​

Answers

Answer:

what are the options?

Explanation:

I'm assuming the question is multiple choice, therefore it would help to know the options.

(whoops sorry this one's actually maths)

Marie goes to the clothing store. Her purchases equal $89.25. The sales tax is 8%. How much tax does she pay?

A $7.14
B $7.86
C $71.40
D $78.60​

Answers

Answer:

she pays $ 7.14 tax ...

Explanation:

tax = tax rate × purchase cost

= 8% × $89.25

= $ 7.14

Net income is ______. (Check all that apply.) expenses minus revenues assets minus liabilities assets plus liabilities revenues minus expenses net earnings equal to the company's cash balance

Answers

Answer:

The correct option is;

Revenues minus expenses

Explanation:

The Net Income (NI), of a business is calculated by first calculating the company's total revenue, then deducting from the calculated company's total revenue, the following items to find the earnings before tax;

1) Operating costs

2) Business expenses

3) Operating costs

The net income is then found by deducting the tax from the calculated net earnings.

The Net Income is also known as the bottom line of the business as it comes at the bottom line after subtracting the expenses, interests,  taxes, from the total revenue.

Comparative advantage is the ability to produce: Multiple Choice more of a good than others with a given amount of resources. relatively more than any other good with a given amount of resources. a good or service at a lower opportunity cost than others. more of a good at a lower cost.

Answers

Answer:

a good or service at a lower opportunity cost than others.

Explanation:

A country has a comparative advantage in production if it produces at a lower opportunity cost when compared to other countries.

For example :

there are two countries , A and B

A produces 10 kg of rice and 5 kg of beans.

B produces 5 kg of rice and 10 kg of beans

the opportunity cost of A :

in producing rice = 5/10 = 0.5

In producing beans = 10/5 = 2

the opportunity cost of B :

in producing rice = 10/5 = 2

In producing beans = 5/10 = 0.5

A has a lower opportunity cost and a comparative advantage in the production of rice.

B has a lower opportunity cost and a comparative advantage in the production of beans.

Which NIMS communication principle enables personnel and organizations to communicate within and across jurisdictions and organizations via voice, data, and video systems in real time

Answers

Answer:

Interoperable Communication System

Explanation:

Interoperable communication system is designed to enable emergencies responding workers to quickly and promptly discharge their functions , which enables  enables it wide coverage advantage .

It also allows information to be shared through voice and data signal when required and in real time.

Its benefits include effective coordination of tasks ,efficient use of resources and prompt responses to routine incidences.

Under HIPAA, a "disclosure accounting" is required:


A. For all research where the data crosses state lines, otherwise state law applies.

B. For all human subjects research that uses PHI without an authorization from the data subject, except for limited data sets.

C. Solely at the principal investigator's discretion.

D. For all human subjects research that uses PHI.

Answers

Answer:

B. For all human subjects research that uses PHI without an authorization from the data subject, except for limited data sets.

Explanation:

According to Health Insurance Portability and Accountability Act, HIPAA, Disclosure Accounting is a term that describes a form of the accounting process which includes revealing any incident that had an effect on financial statements.

However, there are certain instances under HIPPA, disclosure accounting is required, but considering the available option, the correct answer is: "For all human subjects research that uses PHI without an authorization from the data subject, except for limited data sets."

A coupon bond that pays interest of $54 annually has a par value of $1,000, matures in 5 years, and is selling today at a $73.75 discount from par value. The current yield on this bond is _________.

Answers

Answer:

The current yield on this bond is 7.21 %.

Explanation:

The yield of the bond, YTM can be determined using a financial calculator as follows :

Pv = $1,000 - $73.75 = - $926.25

Pmt = $54

n = 5

p/yr = 1

Fv = $1,000

YTM = ?

Using a Financial Calculator, the yield of the bond, YTM is 7.2088 or 7.21 %

On Saturday morning, you rank your choices for activities, from most preferred to least preferred, in the following order: go to the library, work out at the gym, have breakfast with friends, and sleep late. Suppose you decide to go to the library. Your opportunity cost is

Answers

Answer: Work out at the gym

Explanation:

Opportunity cost of a decision is the next best alternative that would have been picked if the current decision wasn't made. For example suppose you would either eat chips or meat and you chose to eat meat. The chips are an opportunity cost of the meat.

In the same vein, the opportunity cost of going to library would be your next best (preferred) activity which in this case would be to work out at the gym.

In order words when you go to the library, you are giving up a chance to go to the gym.

A(n) ______ is a transaction in which the agreement between two parties is specifically stated, whether orally or in writing.

Answers

Answer:

Express contract

Explanation:

An express contract is one that is formed when the parties agree to the terms of the contract in writing or orally as at the time the contract is made.

The elements of a contract are clearly stated during the agreement. That is the offer, acceptance, and consideration.

Examples of express contract are real estate contract and employment contract.

On the other hand implied contract are those that are not based on a written contract. For example if a person purchases a television it is expected to power on. This is an implied contract and of the television does not power on the buyer can sue the seller for breach of contract.

Meeting the needs of the present through economic development without compromising the needs of future generations to meet their own needs is called ______.

Answers

Answer:

Sustainability.

Explanation:

Sustainability intends on addressing current requirements, without undermining future generations to fulfill their needs. The notion of sustainable development consists of three key elements including economic, social, and environmental which correspond to three P's that are Profit, people, and planet respectively. It is a complex process that expands the objectives of businesses from immediate profit to future-oriented goals like energy conservation, work, and safety measures in an organization, etc.

While using LEAN to complete an enrollment application with a consumer, Agent Jeff learns the consumer does not have an email address. What should Jeff do

Answers

Answer:

Either create a new email for the customer or leave it blank

Explanation:

LEAN which is an acronym of Landmark Electronic Application Navigator is an application by UnitedHealthcare, which is utilized for their enrollment application process. It is built to aids all forms of Medicare Products and Plans.

However, according to the rules and guidelines in its application enrollment, if a consumer does not have an email address, then agent is not allowed to use another personal email address instead, but rather, leave it blank, or quickly create a new email to be used for the consumer.

Which statement about today's workplace is most accurate? Group of answer choices Today's employees can expect to interact with people from many cultures. Very few businesses involve employees in decision making. Employees can expect to have more managers. Businesses use social media only to interact with customers.

Answers

Answer: Today's employees can expect to interact with people from many cultures.

Explanation:

In the past, workplaces were not really places your would expect to see diverse cultures represented because the world was still waking up to globalization and discriminatory employment practices saw cultures separated.

In today's workplace though, we see companies hiring people of different cultures which has led to more diversity in the workplace. Globalization is also occurring at a massive rate which has seen companies have different subsidiaries in various countries which has also led to a vast array of cultures mixing in the workplace.

A _____ is used for goods that must be produced at a specific site or that are so large and bulky that it isn't feasible to move them from station to station.

Answers

Answer:

fixed position

Explanation:

A fixed position layout is where a product to be produced remains in a certain spot or location but the workers needed to work on the product , including machinery are moved to the place where the product is to be produced as at when required. This is because there may be limited space at the project site, hence component parts of the product to be manufactured are then coupled at other site and taken to the product site.

An example of fixed layout is the construction of dams, shipbuilding, buildings etc. A fixed position layout is most suited for heavy and fragile products.

A holistic lifecycle for developing security architecture that begins with assessing business requirements and subsequently creating a ‘chain of traceability’ through phases of strategy, concept, design, implementation and metrics is characteristic of which of the following frameworks?

a. Zachman
b. SABSA
c. ISO 27000
d. TOGAF

Answers

Answer:

SABSA

Explanation:

Sherwood applied business security architecture (SABSA) is a body that provides enterprise security and and service management for the administration of network security experts. It helps in achieving completeness and justification of all the components of enterprise security architecture and also aid the objectivity of security architecture.

It supports the development security architecture by firstly assessing the business requirement and subsequently creating a chain of traceability through phases of strategy , design , implementation and metrics

(MC)What was the main way that African American farmers get out of the debt that they incurred as sharecroppers

Answers

Answer:

Debt peonage

Explanation:

Debt peonage is defined the process by which a debt owed is paid off by work or labour.

In America after the civil war ended a lot of Black American farmers were sharecroppers who incurred debts. These debts were paid off by the process of debt peonage.

Farmers were forced to pay a share of their crops to cover expenses such as rent and purchase of equipment needed for farming.

When they were unable to pay off the debt the had to work to pay it off. They could not earn enough income to pay off the debt.

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