You invest $ 5000 in two stocks . In one year , the value of stock A increases by 5.2 % and the value of stock B increases by 12.8 % The total value of the stocks is now $ 5412 . How much did you originally invest in each stock ?
Stock A=
Stock B=

Answers

Answer 1

Answer:

3000 invested in stock A

2000 invested in stock B

Explanation:

Given

[tex]r_A = 5.2\%[/tex] --- rate of stock A

[tex]r_B = 12.8\%[/tex] --- rate of stock B

[tex]A = 5000[/tex] --- Amount invested

[tex]Total = 5412[/tex] ---- Value of stock

Required

Determine the amount invested in each

Let

[tex]x \to[/tex] Amount invested in A

[tex]y \to[/tex] Amount invested in B

So:

[tex]x + y = A[/tex]

[tex]x + y = 5000[/tex]

Make x the subject

[tex]x = 5000- y[/tex]

The gain on stock A is:

[tex]A_{New} = x * r_A[/tex]

[tex]A_{New} = (5000 - y) * 5.2\%[/tex]

[tex]A_{New} = (5000 - y) * 0.052[/tex]

[tex]A_{New} = 260 - 0.052y[/tex]

The gain on stock B is:

[tex]B_{New} = y * r_B[/tex]

[tex]B_{New} = y* 12.8\%[/tex]

[tex]B_{New} = y* 0.128[/tex]

[tex]B_{New} = 0.128y[/tex]

So, we have:

[tex]A_{New} + B_{New} = Total - A[/tex] ----- i.e. total gain on both stocks

[tex]260 -0.052y+0.128y = 5412 -5000[/tex]

[tex]260 -0.052y+0.128y = 412[/tex]

Collect like terms

[tex]-0.052y+0.128y = 412-260[/tex]

[tex]0.076y = 152[/tex]

Solve for y

[tex]y = 2000[/tex]

To solve for x, we have:

[tex]x = 5000- y[/tex]

[tex]x = 5000 - 2000[/tex]

[tex]x = 3000[/tex]


Related Questions

how would you characterize the Carter administration's foreign policy? Was it effective?

Answers

Answer:

He negotiated the Torrijos–Carter Treaties, which provided for the return of the Panama Canal to Panama in 1999. In an effort to end the Arab–Israeli conflict, he helped arrange the Camp David Accords between Israel and Egypt. Carter clearly defined the foundation of his foreign policy: “Our policy is based on an historical vision of America's role. Our policy is derived from a larger view of global change. Our policy is rooted in our moral values, which never change. Our policy is reinforced by our material wealth and by our military power.

Explanation:

The greatest foreign policy success of the Carter presidency involved the Middle East. After the Yom Kippur War of 1973 between Israel and its Arab enemies, Egypt and Syria, the Israelis had gradually disengaged their forces and moved a distance back in the Sinai Peninsula.                                                                              .                                               HOPE IT WAS HELPFUL TO YOU

What is trench warfare, and why was so much of World War I dominated by this method of fighting?

Answers

Answer:

please mark as brainliest answer as it will also give you 3 pts

Explanation:

trench warfare, warfare in which opposing armed forces attack, counterattack, and defend from relatively permanent systems of trenches dug into the ground. The opposing systems of trenches are usually close to one another. Trench warfare is resorted to when the superior firepower of the defense compels the opposing forces to “dig in” so extensively as to sacrifice their mobility in order to gain protection

A trench system may begin simply as a collection of foxholes hastily dug by troops using their entrenching tools. These holes may subsequently be deepened so that a soldier can safely stand up in one of them, and the individual foxholes may be connected by shallow crawl trenches. From this beginning a system of more permanent field fortifications may be constructed. In making a trench, soil from the excavation is used to create raised parapets running both in front of and behind the trench. Within the trench are firing positions along a raised forward step called a fire step, and duckboards are placed on the often muddy bottom of the trench to provide secure footing.

Trench warfare reached its highest development on the Western Front during World War I (1914–18), when armies of millions of men faced each other in a line of trenches extending from the Belgian coast through northeastern France to Switzerland. These trenches arose within the first few months of the war’s outbreak, after the great offensives launched by Germany and France had shattered against the deadly, withering fire of the machine gun and the rapid-firing artillery piece. The sheer quantity of bullets and shells flying through the air in the battle conditions of that war compelled soldiers to burrow into the soil to obtain shelter and survive

Question 4 of 10
Which of the following best explains how consumers' purchases influence the
decisions of producers?
A. Producers can determine how best to reduce waste by knowing
what consumers don't buy.
B. Producers can predict the effects of new technologies based on
the technologies used by consumers.
C. Producers can figure out what consumers are willing to pay based
on what they buy.
D. Producers can judge whether they have an efficient production
process based on what consumers buy.

Answers

Answer:

C. Producers can figure out what consumers are willing to pay based on what they buy.

Explanation:

Considering the available statements, the best statement that explains how consumers' purchases influence the decisions of producers is "Producers can figure out what consumers are willing to pay based on what they buy."

When commodities producers know what consumers usually buy and in what quantity, they can easily understand what length or price they would be willing to pay. This implies that producers know the consumers want, and they make productions accordingly.

Do you agree that the culture of the indigenous people of South America unique? In what way?

Answers

Answer:

yes I find there culture is very vibrant and there are a lot of colors.

why do you think three ancient societies considered as the cradle of civilization

Answers

Answer:

ancient rome, china, and sparta

Explanation:

Ancient societies consider the cradle of civilization because of the geographical location that allowed them to cultivate and get access to water.

The cradle of civilization

The civilizations in the fertile crescent are known as the Cradle of civilization.

The fertile crescent played a significant role in providing fertile soil near the rivers of the area.

The region is known for its contributions to the civilizations of ancient Mesopotamia, Sumer and Egypt.

The civilizations emerged with urbanization, agriculture, trade, writing, etc.

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why was jim crow problematic despite the benefits ?​

Answers

It only benefited white people and it was problematic because it denied black people civil rights

which of the following could indicate that alcohol abuse has become an addiction

Answers

Answer:

Alcoholism, now known as alcohol use disorder, is a condition in which a person has a desire or physical need to consume alcohol, even though it has a negative impact on their life.

Explanation:

what was st petersburg russia? how was it founded? and why was it important? (full explantion)

Answers

Answer:

Saint Peterdburg is a Russian port city on the Baltic Sea. It was the imperial capital for 2 centuries, having been founded in 1703 by Peter the Great, the subject of the city's iconic "Bronze Horseman" statue. Sweden's first fortress, Landskrona, was erected at the mouth of the Ojita River in 1299. In 1703 the Russians conquered Nyen and fifteen days later, Tsar Peter I officially founded, downstream of the Neva River, in the delta, The city of Saint Petersburg. Saint Petersburg is today the second largest city in the Russian Federation and one of the largest in Europe. The city center and other monuments in its surroundings have been considered a World Heritage Site by UNESCO since 1990. Saint Petersburg is also the seat of the Contitutional Court of Russia.


How did living in company towns make union membership more difficult for workers?
Workers received free homes, food, and clothing.
Company guards and agents spied on and reported workers.
Workers made enough money that they did not need unions.
They could fire workers who moved away from the town.

Answers

Answer: Company guards and agents spied on and reported workers.

Explanation:

Living in company towns meant that the company had guards on the streets and agents who lived amongst workers like they were one of them. Both these guards and agents were told to keep their ears open for signs of union activity.

If a person was found to be engaging or advocating for union activity, they could lose their jobs and as people did not want to lose their job security, they generally avoided the topic which meant that the unions could not take hold in such environments.

haircuts are an example of inelastic supplu true or false

Answers

Answer: False

Explanation:

The elasticity of Supply refers to how each supplier can respond to a change in price by changing how much he produces. If a business can´t change its output level quickly, the supply is inelastic.

A company that provides haircuts is an example of a highly elastic supply because haircut suppliers can easily expand or reduce production.

An increase in the price of haircuts can lead to an increase in the quantity supplied, even in the short term. If the price of haircuts rises, hair salons can quickly hire new personnel or extend the working hours, and new salons could open.

And, in the case of a drop in the price of haircuts, they can reduce the working hours, and some will leave the market for a job somewhere else, so the supply can also fall quickly.

Drag each label to the correct location
Determine whether each item describes a cause of feudalism or a characteristic of the system of feudalism.
The king gave land grants to
nobles for providing knights
for wars.
The Roman Empire fell when
the last emperor stepped
down,
People needed safety
and protection
People were bom
into a social class
There wasn't a strong
central government
People turned to the Catholic
Church for spiritual direction,

Answers

Answer:

C. Railroads connected cities and markets from coast to coast,

making it easier for new immigrants to migrate between shifting

employment opportunities

Answer

Determine whether each item describes a cause of feudalism or a characteristic of the system of feudalism.

The king gave land grants to

nobles for providing knights

for wars.

The Roman Empire fell when

the last emperor stepped

down.

People needed safety

and protection.

People were born

into a social class.

There wasn't a strong

central government.

People turned to the Catholic

Church for spiritual direction.

Explanation:

In the Neolithic period, art flourished becauSE

Answers

Answer:

people were able to settle into permanent villages.

Explanation:

In the Neolithic period, art flourished because

people were able to settle into permanent villages. The people gave up their nomadic lives.

What do you think some of the challenges would be for countries which had been colonized?

Welpp​

Answers

The correct answer to this open question is the following.

I think that some of the challenges for countries that had been colonized were the following.

First, conquerors and colonizers forced the indigenous people to change their religion. It was a shock for these people. They had faith in their gods and Christianity sent priests and frays from different companies such as Franciscans or Jesuits to evangelize and convert the Indians into Christianity.

Then, the change in language. Native American people or Mesoamerican people had their own dialects and forms of communication. European colonists forced them to learn English, Spanish, or Portuguese, according to the European nation conquering the territory.

Another big challenge was that native people were the "owners" of their lands. And colonists took those lands away and forced native Indians to work for them.

Finally, European conquerors and colonists brought diseases unknown to the native people. These diseases almost wipe out the entire population of indigenous people in the Americas. We are talking about diseases such as malaria, chickenpox, cholera, smallpox, and influenza.

How did the railroad companies respond to the buffalo?
A. They tried to save the buffalo because people would ride trains to
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B. They paid no attention to the buffalo because the trains moved too
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C. They paid people to kill the buffalo so the animals would not block
the tracks
D. They tried to sell buffalo hides to pay for building the railroads.

Answers

Answer:

C. They paid people to kill the buffalo so the animals would not block

the tracks

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Answers

he was assassinated and killed

Italy and Japan entered the war on the side of

Answers

Answer:

On July 7, 1937, Japan invaded China to initiate the war in the Pacific. The German invasion of Poland on September 1, 1939, unleashed the European war. Italy entered World War II on the Axis side on June 10, 1940, as the defeat of France became apparent.

Explanation:

I don't know if this helps, but I'm sorry if it doesn't.. :))

How did the end of the English Civil War affect the founding of Pennsylvania?

The debts that King Charles II owed to William Penn influenced Penn by forcing him to take out loans to develop his colony.
Oliver Cromwell, Lord Protector of England after the English Civil War, became the first governor of Pennsylvania.
Catholic leaders from England, Scotland, and Ireland established a new colony in Pennsylvania after receiving a charter from Pope Clement IX.
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Answers

Answer:

It caused a division between loyalists of English Parliament and free English colonies. Aimed to wrest control of world trade from the Dutch, whose merchants profited from free trade with all parts of the world and all existing empires.

Explanation:

Hoped this helped in any kind of way if it didn't let me know.

William Penn’s Quakers were persecuted in England when the Church of England reestablished its power, which convinced Penn to establish religious tolerance in his colony which did the end of the English Civil War affect the founding of Pennsylvania The correct option is D.

When did William Penn find Pennsylvania?

On March 4, 1681, King Charles II of England settled a large loan with Penn's father, after whose death King Charles granted Penn a large area west and south of New Jersey. Penn named the region Sylvania Latin for "woods", which Charles renamed Pennsylvania in honor of his grandfather.

Persecuted in England for his Quaker beliefs, Penn immigrated to America in 1682 and established Pennsylvania as a place where people could practice their religion freely. The colony became a haven for religious minorities from Germany, Holland, Scandinavia, and the United Kingdom.

Thus, the ideal selection is option D.

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3 reasons why it was a bad idea for the U.S. to drop the atomic bomb on Japan. VERY DETAILED NO LINKS!!!

Answers

Answer:

1. Dropping the bomb in Japan would alert the rest of the world the the US had the ability to deploy and detnate one. This took away the upper hand that  the US had and let the rest of the world consider that if it was okay for us it was okay for them which eventually resulted in the Cold War.

2. Use of the Bomb was considered illigeal. The league of nations adopted a resolution that stated that the intinial bombing or attacking of a residetial area would be considered illigeal and a war crime with an empasis on bombing from the air. The resolution was also one of the first to recognize that the use of Weapons of Mass Destruction was illigeal. The US arguged that since they were not a part of the League of Nations that the law did not apply to them.

3. The bomb was inhumane and could be considered raacially motivated. The bomb killed thousands of Asian, Japaniese men, women ad children simply beause of where they lived. These people were vaporized, killed in a way that was inhumane, they were vaporized. those that survived the initial attack faced radiation sickness, mental issues, starvation and mutations. The land was unliveable, families and business were wiped out, all bevause of where they lived an because of their nationality.

Explanation:

Select the correct answer. Which of the following statements describes the command economy of the Soviet Union? A. The government allowed private businesses to produce goods and services de B. The government decided what goods and services would be produced and sup Oc. The government allowed workers to own the means of production.
D. The government ensured high wages for workers.

Plato answers ​

Answers

The answer is B. In a Command economy the government controls all means of production and sale.

who is f.d roosevelt​

Answers

Answer:

Franklin D. Roosevelt

32nd U.S. President

You will learn about the Native American culture that produced the myth from the details provided in the text. a) dentify at least two cultural characteristics that you learned from each myth. b) What does each characteristics reveal about the general attitudes of the culture that .produced it? Add two key details from your reading to your chart from yesterday. You may use the chart provided or create your own chart to record your responses. You will share your responses with your class on the Discussion Board for a grade.​

Answers

Answer:

Explanation:

I don’t know but I need point I’m so sorry

What did John Long do in Texas history

Answers

Answer:

James Long (February 9, 1793 – April 8, 1822) was an American filibuster who led an unsuccessful expedition to seize control of Spanish Texas between 1819 and 1821

Explanation:

Hope it helps

Answer all the qustion get 10 points and get marked as a brainlist!!

1.The Mississippi River and the St. Lawrence Seaway give the Midwest access to the ocean.

True
False


2.British laws were unfair to the colonists.

True
False


3.Colonists in the thirteen colonies refused to pay taxes to England.

True
False

4.Mexico grew dissatisfied with Spanish rule and wanted:

independence
English rule
its own king

5.After independence, the first Mexican rulers were:

dictators
monarchs
presidents

6.Today, Mexico is governed by a:

dictator
president
monarch

7.Mexican culture is a combination of
and original Native American influences.
French
English
Spanish
Portuguese

8.Immigration and urbanization were a result of:

industrialization
transportation
communication

9.The United States acquired territory during:

urbanization
expansion
industrialization

10.The first major territory obtained by the United States was:

the Gadsden Purchase
Texas
the Louisiana Purchase

Answers

I don’t know the answers to all 10 questions but I can help with what I know.
2.true(that’s why some people left Britain)
4.independence
6.president
7.Spanish
9. Expansion (they purchased land/took land)
10. Louisiana purchase

Which of the following was the immediate result of the Supreme Court’s decision in Brown v. Board of Education of Topeka (1954)?


To eliminate poll taxes



States were permitted to adopt Jim Crow Laws



Poll taxes were upheld as legitimate restrictions on voting



Public Schools were ordered to segregate

Answers

Public schools were ordered to segregate!

advantanges of oral literature

Answers

Answer:

Advantages and disadvantages of oral traditions as a source of information. - It can provide information where there are no written sources. - It is suitable for even the illiterate in the society. - A narrator can conceal/hide important information

Explanation:

I hope it helps you

Assists the learner in improving their reading skills and developing positive attitudes toward oral literature. It also encourages people to value people of various races or ethnic groups from different countries. In a gibe literature work, it plays an important role in developing both the listeners and the readers.

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Which action is an example of public policy?
A. Organizing a church fund-raiser
• B. Volunteering in a soup kitchen
C. Giving a speech to local students encouraging them to stay in
school
D. Determining the required width for a sidewalk

Answers

C giving a speech to local students encouraging them to stay in school is the most logical one when it comes to to a public policy

Answer:

D. Determining the required width for a sidewalk.

Explanation:

Just took the test

Explain why you believe Karl Marx and Joseph Stalin are so significant that they are deserving of "the most significant person in history award". give me a speech about it!​

Answers

Answer:

Because they contribute the most to communism.

Explanation:

What two groups are displayed in the drawing?

Answers

Answer:

the colonists and the British soldiers

Explanation:

Im smart like that

Which of these was a result of the War of 1812?
A. The United States agreed to stop fighting with Spain.
B. The United States suffered a devastating loss to France.
C. The United States overwhelmingly defeated Germany.
D. The United States proved that it was as powerful as Great Britain.

Answers

Answer:

B

Explanation:

The United States suffered a devastating loss to France.

how did mahatma gandhi serve in the independence of India

Answers

Answer:

India won independence from Britain in 1947, thanks in large part to Gandhi's peaceful civil disobedience campaign. Gandhi was born on 2 October 1869 in Porbandar, India. ... In using resistance through mass non-violent civil disobedience, he became one of the major political and spiritual leaders of his time.

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