Why did FDR see raising taxes and increasing welfare spending as an increase in Freedom, and why did Hoover see it as restricting freedom?

Answers

Answer 1

FDR saw raising taxes and increasing welfare spending as an increase in freedom because he believed that a government's responsibility was to ensure the welfare of its citizens.

He believed that providing assistance to the less fortunate would help to create a more equal society, where everyone had access to the resources necessary to achieve their goals. FDR's New Deal programs, which included social security, unemployment benefits, and public works projects, were designed to provide this assistance.

Hoover, on the other hand, saw raising taxes and increasing welfare spending as restricting freedom because he believed that a government's primary responsibility was to protect the rights of individuals and businesses to pursue their own interests. Hoover believed that government intervention in the economy, even in the form of social welfare programs, would lead to a loss of individual freedom and a more oppressive government. He believed that the free market, left to its own devices, would ultimately provide for the welfare of all citizens.

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Related Questions

What were the effects of second industrial revolution in North South East west

Answers

The Second Industrial Revolution, which occurred in the late 19th and early 20th centuries, had significant effects on the economies and societies of the North, South, East, and West regions of the world. Here are some of the effects of the Second Industrial Revolution in each region:

North: The North, which included the United States and Europe, experienced significant industrial growth during this time. This led to increased urbanization and the growth of cities as people moved from rural areas to work in factories. It also led to the expansion of transportation networks and the development of new technologies, such as the telegraph, telephone, and electric power. The North became a dominant economic power, and many countries in this region became leading industrial powers.

South: The Second Industrial Revolution had less of an impact on the South, which included countries in Latin America, Africa, and Asia. While some countries in this region experienced economic growth, many remained dependent on agriculture and raw materials for export. This led to an uneven distribution of wealth and power, with the North becoming increasingly dominant.

East: The Second Industrial Revolution had a profound impact on the economies of East Asia, particularly Japan. Japan rapidly industrialized and modernized its economy during this time, using new technologies and techniques to become a major industrial power. Other countries in the region, such as China and Korea, also began to industrialize during this time.

West: The Second Industrial Revolution had a significant impact on the economies of the Western Hemisphere, particularly Canada and Australia. These countries began to develop their own industrial sectors and saw significant economic growth during this time. The West also became a major destination for immigrants from around the world, who came to work in factories and other industries.

Overall, the Second Industrial Revolution transformed the economies and societies of the North, South, East, and West, leading to significant changes in the way people lived and worked. It also had far-reaching consequences for global politics and economics, shaping the course of history for decades to come.

discuss the relationship between the spread of Islam and the growth of trade between Africa and Muslim traders to the east​

Answers

The spread of Islam and the growth of trade between Africa and Muslim traders to the east are closely related. Islam, as a religion, had a significant impact on the growth of trade between Africa and Muslim traders, particularly to the east.

Islam spread quickly throughout North Africa, starting in the 7th century, following the Arab conquest of the region. The spread of Islam brought with it a set of laws and ethical principles that facilitated trade between Muslims. For example, the Islamic law known as Shariah provided guidance on fair business practices, ethical conduct, and contracts, which gave traders a sense of security in their transactions. This encouraged trade and helped to create a network of traders across the region.

Muslim traders, who followed the teachings of Islam, played a significant role in the growth of trade between Africa and the east. These traders traveled from the Arabian Peninsula and the Indian subcontinent to East Africa, establishing trade routes that connected Africa to the rest of the world. They brought goods such as textiles, spices, and ceramics, and exchanged them for African goods such as gold, ivory, and slaves. This trade brought wealth to the traders and helped to develop the economies of the African kingdoms.

Moreover, the spread of Islam in East Africa was also facilitated by trade with the Muslim world, which resulted in the conversion of many Africans to Islam. As Islam spread throughout the region, it encouraged further trade, creating a positive feedback loop that helped both the spread of Islam and the growth of trade.

In conclusion, the relationship between the spread of Islam and the growth of trade between Africa and Muslim traders to the east was mutually reinforcing. The spread of Islam facilitated trade by providing ethical guidelines and legal systems that helped to create a sense of security, while trade helped to spread Islam by connecting people across regions and providing opportunities for conversion.

Answer:

The spread of Islam and the growth of trade between Africa and Muslim traders to the east are interrelated.

Islam was first introduced to Africa through the trade routes that linked the continent with the Middle East and India. Muslim merchants and traders traveled along these routes, bringing their religious beliefs and practices. Over time, many African communities embraced Islam, making it a part of their culture and identity.

African communities converted to Islam, creating a common bond between them and Muslim traders from the east. This bond facilitated the growth of trade between Africa and the Middle East, India, and Southeast Asia. Muslim traders established trading networks along the East African coast and in the Saharan region. This development allowed Africa and the Muslim world to exchange of goods, ideas, and technologies.

The spread of Islam also influenced the political, social, and economic spheres of African life. Many African societies adopted Islamic law and institutions. This development helped promote trade and commerce, establish legal systems, and facilitate peaceful resolution of disputes. Moreover, it helped break down traditional barriers between different African societies and fostered greater unity and cooperation.

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Overall, the spread of Islam and the growth of trade between Africa and Muslim traders to the east were mutually reinforcing. The exchange of goods, ideas, and technologies facilitated by trade helped spread Islamic beliefs and practices throughout Africa. Accordingly, the adoption of Islam helped to promote trade, foster greater unity among African societies, and change African culture and society.

Explanation:

Option B: REQUIRED RESPONSE ESSAY 2: 1200 words: A) In your own words, summarize the findings and implications of both studies of offender recidivism and how prisons arguably contribute to the problem (that is, contribute to high recidivism). Quote directly from at least 3 different assigned readings (and properly cite them). [THE TWO STUDIES YOU SHOULD USE ARE: "Recid of Prisoners 2005 in 30 States" and "Recidivism of Released Prisoners in 1994-1",

Answers

Identifying risk factors for recidivism among offenders has received significant scientific attention. These risks include traits including a history of criminal activity, an unstable lifestyle (such as being unemployed or frequently moving), and unfavorable peer relationships.

What are the factors associated with recidivism?

Criminal history, age at discharge, and neighbourhood characteristics were the three variables most frequently linked to the probability of recidivism across conditions.

It is common practice to file further charges against someone who has been arrested for a public order infraction. This is particularly true for parole or probation infractions, which are frequently brought on by committing another felony. Assault, theft, and drug possession are the other three offences that released inmates commit most frequently.

According to research, around two-thirds of those who have served time in prison will be imprisoned again within three years. Recidivism causes suffering for offenders, their family, and the victims of their crimes.

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Help please

Which is true of free blacks who owned slaves?

a. They were prohibited from owning more than ten slaves.

b. They had a reputation for being particularly brutal owners.

c. In a few cases, the slaves they owned were impoverished whites.

d. In many cases, these “slaves” were family members they had purchased and could not legally free.

e. They were prohibited from selling their slaves at a profit.

Answers

Answer:

Explanation:

d. In many cases, these “slaves” were family members they had purchased and could not legally free.

Please helppp :(
Write an sentence of Agricultural innovations

Answers

Answer:

Recent agricultural innovations such as precision agriculture and genetic engineering have helped to increase crop yields and improve food security worldwide.

Explanation:

Why the Baybayin was considered the high literacy than Madrid Spain?

Answers

Baybayin, a pre-colonial writing system used in the Philippines, was not considered to be higher in literacy than Madrid, Spain. In fact, the Spanish colonizers who arrived in the Philippines in the 16th century viewed Baybayin as a primitive and unsophisticated writing system. The Spanish introduced the Latin alphabet to the Philippines, which became the dominant writing system during the colonial period.

It is important to note that the concept of "literacy" is complex and multifaceted, and cannot be reduced to the use of a particular writing system. While Baybayin may have been well-suited to the linguistic and cultural context of pre-colonial Philippines, it was not widely used or recognized outside of the region. The Spanish, on the other hand, brought with them a writing system that was widely used and recognized throughout Europe and beyond.

Furthermore, literacy is not just about the ability to read and write, but also about access to education, cultural and political institutions, and economic opportunities. During the colonial period, the Spanish imposed their language and culture on the Philippines, which had a profound impact on the country's social, political, and economic development. While Baybayin may have been an important part of pre-colonial Philippine culture, it did not provide the same opportunities for advancement and mobility as the Spanish language and culture did.

how did kim davis deny others civil rights?

Answers

Violated gay couples rights by refusing marriage licenses

How was this ideology used to "divide and rule " the working classes of Virginia?

Answers

Note that the "divide and rule " ideology was used on the working classes of Vir. ginia by pitting white laborers against colored laborer.

How is this so?

To retain dominance over the population, the political elites in Virginia employed a divide-and-rule tactic by pitting poor white laborers against Black laborers.

By utilizing an ideology of white supremacy, they crafted a racial hierarchy that elevated white workers while oppressing Black workers. Effectively, this weakened any attempts by the working class as whole to organize or advocate for improved conditions.

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What does a production possibilities curve represent

Answers

Answer:

A combination of price and demand of goods and services

How did the Roaring '20s mark the end of the Progressive Era?
OA. Mass production reduced wealth disparity and turned public
opinion pro-business.
OB. Labor unions won big legislative gains in workers' rights and
disbanded.
C. America's increasing influence in world affairs redirected public
attention to foreign policy.
D. Public officials cut taxes on businesses and reduced spending on
services.

Answers

Mass production reduced wealth disparity and turned public opinion pro-business: Roaring '20s mark the end of the Progressive Era. Thus, option A is the correct option.

The Progressive era and the 1920s, commonly referred to as the "roaring twenties" and "the new era," had one thing in common: America continued to experience economic development and prosperity. Working-class Americans' salaries rose in tandem with those of middle-class and wealthy Americans.

The Progressive movement started to be replaced by a number of other groups in the 1920s. Progressive victories in some circumstances, like women's suffrage, made campaigners less motivated to press for more change. Overview In the United States, the early 20th century saw economic growth and progressive change.

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Phishing is a way to

Answers

Phishing is when attackers attempt to trick users into doing 'the wrong thing', such as clicking a bad link that will download malware, or direct them to a dodgy website.

Answer: It's a way to scam.

Explanation:

Phishing happens when a victim acts on a fraudulent email that demands urgent action. Examples of requested actions in a phishing email include: Clicking an attachment. Enabling macros in a Word document

Which two regions were created by partitioning Bosnia and Herzegovina in the Dayton Peace Accords?
Responses
an Egyptian region and a Jordanian region
an Israeli region and a Palestine region
a Hutu region and a Tutsi region
a Muslim-Croat region and a Serbian region​

Answers

The Dayton Peace Accords partitioned Bosnia and Herzegovina into two regions Muslim-Croat federation and a Serbian republic.

What is a federation?

A federation is a political entity that consists of a group of states or regions that have joined together under a common central government while maintaining some degree of autonomy. The central government has limited powers over the individual states or regions, which have their own governments and laws. This creates a balance between the central government and the individual states or regions, where each has a degree of authority and independence. Federations can be found in various forms, such as federal republics, federal monarchies, and federal unions. Examples of federations include the United States, Canada, Australia, and Germany. Federations are often used to bring together diverse groups with different cultural, linguistic, or economic backgrounds, while allowing for a degree of self-governance and regional identity.

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Which of the following best explains why a government might issue
subsidies?
A. To promote government control of local industries
B. To increase the cost of imported goods, and increase tax income
C. To offer assistance financially to offset the effects of foreign
competition
D. To increase taxes

Answers

Answer:

the answer is A

Explanation:

government might have issue but the focus is to promote control of local imdustry

PLEASE HELP!!!!

Write three body paragraphs for an essay explaining Harriet Tubman's role in the Underground Railroad. Each of your body paragraphs should contain a topic sentence, at least three relevant supporting details, and a concluding sentence that wraps up the ideas of the paragraph. Each paragraph should answer one of these questions:
• Paragraph 1: What was the Underground Railroad, and whom did it serve?
• Paragraph 2: Who was Harriet Tubman?
• Paragraph 3: How did Harriet Tubman play an important role in the Underground Railroad?
If you quote directly from the Encyclopaedia Britannica article, be sure to use quotation marks around the text and provide an in-text citation.
Example: "She led dozens of enslaved people to freedom in the North along the route of the Underground Railroad — an elaborate secret network of safe houses organized for that purpose" ("Harriet Tubman").

Answers

Paragraph 1:
The Underground Railroad was a network of secret routes and safe houses that served as an escape route for enslaved Black people to flee from the slave-holding Southern states to freedom in the North. It initially started in the late 18th century and continued up to the American Civil War. The Underground Railroad was not an actual railroad, but a complex system that consisted of people of different races, religions, and socio-economic backgrounds working together to help enslaved people. The fugitives that used the Underground Railroad, estimated to be around 100,000 or more, were provided with shelter, food, clothing, and often transportation to the next safe house or station.

Paragraph 2:
Harriet Tubman was an abolitionist and a former slave who became a prominent conductor of the Underground Railroad. She was born in Maryland around 1820 and escaped slavery in 1849. Rather than settling into freedom herself, she became the most famous conductor in the movement, leading more than 300 enslaved people out of slavery over the course of 19 trips through the Underground Railroad network. Tubman had a remarkable ability to navigate the Underground Railroad, risking her own safety on a number of occasions to bring others to safety. As Joseph R. Biden Jr., managed to award her the Presidential Medal of Freedom of America, Tubman was referred to as the "Moses of her people" as she courageously led many slaves to freedom.

Paragraph 3:
Harriet Tubman played a crucial role in the Underground Railroad as a conductor, spy, nurse, and even a suffragette in her later life. She is widely considered the most successful conductor of the railroad, never having lost a fugitive or been caught herself. Tubman often used disguises and codes to facilitate the escape of enslaved people. Moreover, as a spy during the Civil War, she helped scout enemy territory and recruit black soldiers for the Union army. In her later years, she supported women's suffrage and continued to speak out against slavery. Harriet Tubman's dedication and perseverance for the abolishment of slavery, as well as her selflessness and sacrifices, will forever be remembered and acknowledged as an important part of American history.

Which of the following is not an original sect of Islam?
O Safavid
Sunni
Shia
None of these

Answers

Answer:

Safavid is not an original sect of Islam. It was a dynasty that ruled over Persia from 1501 to 1736. The original sects of Islam are Sunni and Shia.

Explanation:

I am the all knowing one

“if I have seen farther than others,” said Newton, “it is because I have stood on the shoulders of giants.” Who were the giants to whom Newton was referring? Could this be said of any scientific accomplishment? Explain. Think about: the accomplishments of Copernicus, Kepler and Galileo, the accomplishments of Newton and the value of scientists and scientific discoveries.

Answers

The giants Newton was referring to in this citation were the scientists who, before him, also promoted essential discoveries for scientific knowledge, such as Galileo and Copernicus.

How important is science to the world?

Scientific knowledge is developed through a structured method of testing hypotheses to prove a thesis, based on research and systemic studies, generating the development of human knowledge, for greater achievements in various areas such as medicine, science, technology, engineering, etc.

Therefore, as in Newton's quote, science is always in development, and it was the other scientists before him who provided subsidies through their studies so that he could develop his work on gravity and movement.

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Please help Me yall I need this question answered right now! 100 points

In which economic area(s) shown on this graph did the Union experience higher costs than the Confederacy?

(A) Human capital and property destruction
(B) Property destruction only
(C) Government expenditures and human capital
( D)Government expenditures only

Answers

Answer:

B. Property of Destruction

Explanation:

Explain the relationship between nobles and serfs.

Answers

Answer:

Serfs were the poorest of the peasant class and were a type of slaves. Lords owned the serfs who lived on their lands. In exchange for a place to live, serfs worked the land to grow crops for themselves and their lord. In addition, serfs were expected to work the farms for the lord and pay rent. (as Lords are also known as nobles)


It's been discovered that the Soviets are building nuclear facilities in Cuba. Inside of these facilities they are producing nuclear
missiles and now nuclear missiles are stationed just 80 miles off of your shores. What is more scary is that these nuclear
weapons in Cuba can hit almost ANY major U.S. city in minutes. The Soviets say they are doing this because the United States
has missile facilities in Turkey, just minutes away from Russia's borders. They say they will only withdraw their missiles if you do.
What will you do?

a. Remove your nuclear facilities in Turkey so that the Soviets will remove theirs from Cuba..

b. Keep your missile facilities in place and work with Turkey to build up more nuclear facilities to reduce future threats

c. Launch a secret invasion of Cuba to destroy these nuclear facilities immediately. Make it look like a civil war broke out.

Advantages:

Disadvantages:

Answers

The step that can be taken is to keep the missile facilities in place and work with Turkey to build up more nuclear facilities to reduce future threats. Thus, option A is correct.

An American U-2 spy plane surreptitiously captured images of Soviet nuclear missile construction locations on the island of Cuba in October 1962.

Kennedy did not want the Soviet Union and Cuba to learn that the missiles had been found. He spent many days having covert meetings with his advisers to talk about the issue.

In order to stop Cuba from being harassed in the future, Soviet leader Nikita Khrushchev agreed to grant Cuba's request to station nuclear missiles there.

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How do you compare the trading diplomatic relations of the pre colonial Filipinos to the new era?

Answers

Answer:

The pre-colonial Filipinos had a complex trading system that involved bartering and exchanging goods with neighboring countries such as China, India, and Malaysia. The Filipinos traded goods such as gold, pearls, textiles, and agricultural products. They also had a system of long-distance trade that allowed them to establish diplomatic relations with other countries.

During the Spanish colonial period, the Philippines became part of the global trade network of the European powers. The Spanish introduced new crops such as tobacco and coffee, which became major exports for the Philippines. The Spanish also established diplomatic relations with other countries in Europe and Asia.

In the modern era, the Philippines has become an important player in the global economy. The country has established diplomatic relations with countries all over the world and has become a hub for international trade. The Philippines is a member of numerous international organizations such as the United Nations, ASEAN, and APEC.

The trading diplomatic relations of the pre-colonial Filipinos were largely based on bartering and exchanging goods with neighboring countries. In contrast, the modern era has seen the Philippines become an important player in the global economy with an extensive network of diplomatic relations.

Explanation:

Causes and Effects of the fall of Roman Empire. ​

Answers

Answer:

Corruption in the government led to problems like inflation, disease, and starvation, impacting the citizens of Rome and leading to the collapse of Rome. Civil Wars removed the corrupt leaders from power but brought on invasions by Germanic tribes. Elagabalus' 10-year rule caused the collapse of Rome.

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Which of these doesn’t belong Sedition Acts
Manifest Destiny
Railroads
Discovery of gold

Answers

Answer:

sedition acts

Explanation:

sedition acts were meant to arrest anyone who crticized government policy after the passing of the kentucky and virgina resolutions. Manifest desitny, railroads, and discovery of gold are all related to one another as they promote going into new territories, expanding immigration, and expansion of country.

Which of the following is an accurate comparison of the family and attending college contribute to the development of one's political beliefs?

Answers

The accurate comparison of the family and attending college contribute to the development of one's political beliefs is  Option C: About 25 percent of children adopt the political philosophies of their parents. - Those who do not adopt their parent's partisan beliefs become political independents more than joining the other major party.

What is the accurate comparison of the family?

Family line may discuss governmental issues and beliefs accompanying each other, and children concede possibility learn about political principles and ideologies through observation and conversation with their persons or other family appendages.

The family can also shape an individual's governmental beliefs through allure influence on their socioeconomic status, cultural backdrop, and personal experiences.

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2. Which of the following is an accurate comparison of the family and attending college contribute to the development of one's political beliefs?

A

B

C

D

Family

With so many households with both Republicans and Democrats, family has no noticeable impact on political thought.

As teens become adult voters, they tend to disagree with parents, and veer toward a different ideology.

About 25 percent of children adopt the political philosophies of their parents.

Family is the single most influential influence on political thought.

College

Those who attend college move into a higher income bracket, and therefore vote Republican.

The liberal orientation of college faculty have a strong impact on students' political thought.

Those who do not adopt their parent's partisan beliefs become political independents more than joining the other major party.

The longer one attends college, the more liberal their views will become

10) In about 2-3 sentences, describe the poshple consequences for not living up to the
suggestions you made for handing inflation during the 1970's or present day. In other
words, what negatives would come out of inflation and poor habits in response?


Helppp

Answers

Rising inflation can also negatively impact the growth of bonds, as increasing interest rates lead to decreasing market prices, therefore proportionally dropping the yield the bonds may have had when inflation was lower. Similarly, stock investments typically have a lower rate of return when inflation is high.

Inflation Erodes Purchasing Power. This is inflation's primary and most pervasive effect. An overall rise in prices over time reduces the purchasing power of consumers since a fixed amount of money will afford progressively less consumption.

Inflation Disproportionately Impacts Lower-Income Consumers and Lower-income consumers tend to spend a higher proportion of their income on necessities than those with higher incomes. This means they have less of a cushion against the loss of purchasing power inherent in inflation.

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Failing to implement effective strategies to manage inflation during the 1970s or present day could lead to several adverse consequences. These may include eroding purchasing power for consumers, decreased investor confidence due to uncertain economic conditions, potential interest rate hikes to control inflation, and a destabilized financial environment overall. Poor habits in responding to inflation could exacerbate these issues, leading to prolonged economic downturns and reduced economic growth.

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Which of the following statements describes the command economy of the Soviet Union?
A. The government allowed private businesses to produce goods and services demanded by the market.
B. The government decided what goods and services would be produced and supplied to the market.
C. The government allowed workers to own the means of production.
D. The government ensured high wages for workers.

Answers

Answer:

B. The government decided what goods and services would be produced and supplied to the market.

Answer:

The statement that describes the command economy of the Soviet Union is option B. The government decided what goods and services would be produced and supplied to the market.What is a command economy?A command economy is an economy that is planned, organized, and managed by the government. In a command economy, the government controls and regulates all aspects of economic activities such as production, distribution, and pricing of goods and services. The government, not the market, decides what goods and services to produce, how much to produce, and at what prices. In a command economy, the government owns and controls the means of production, such as factories, land, and resources.

What was an important contribution of the sankin kōtai ﴾alternate attendance﴿ system to the modernization of Japan?

Answers

The important contribution of the Sankin-kōtai was that Japan people developed a strong sense of national unity. (Option B).

What is Sankin-kōtai?

The Sankin-kōtai structure, as known as Alternate Attendance arrangement, was a procedure executed in Japan during the Edo ending (1603-1868). The system necessary old lords, popular as daimyos, to give sporadic old age in the capital city of Edo, while their classifications remained skilled forever as hostages.

One main gift of the Sankin-kōtai structure to the renovation of Japan was that it aided to sustain the political position in the country. By needing daimyos to associate with in Edo, the shogunate was intelligent to hold a tighter eye on ruling class and avoid them from plotting against the administration. The system likewise aided to advance enlightening exchange and financial happening, as daimyos and their entourages brought new plans and possessions to Edo.

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Which choice best reflects the sequence of events in China during the Cultural Revolution?

Answers

The Cultural Revolution in China lasted from 1966 to 1976, during which Mao Zedong led a campaign to purge capitalist and traditional elements from Chinese society.

The sequence of events during the Cultural Revolution in China  was marked by political turmoil, social unrest, and violence. Mao mobilized young people, known as the Red Guards, to carry out his radical agenda, resulting in widespread destruction of cultural artifacts, persecution of intellectuals, and purging of political rivals.

The country was thrown into chaos as millions of people were subjected to forced labor, reeducation, and public humiliation. The Cultural Revolution in China eventually came to an end with Mao's death in 1976 and the rise of Deng Xiaoping, who initiated economic reforms and opened up China to the world.

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2. PART B: Which sentence from the article
provides an example of the type of
intelligence discussed in paragraph 2?
OA. "Previous to their arrival in France, the
Germans had broken every American code
used, resulting in the deaths of many
soldiers." (Paragraph 3)
OB. "The code talkers then developed their
own words for military terms that never
existed in their own native tongue."
(Paragraph 4)
O C. "From D-Day landings at Normandy in June
1944, to the liberation of Paris and the
Battle of the Bulger, they kept the lines of
communications secure." (Paragraph 5)
D. “Congress recognized the remarkableness of the code talkers’ achievements, despite societal discrimination against them.”

Answers

OA

Explanation:

This makes the most since

how did the work of Arab scholars and inventors promote European exploration in the 1400 & 1500's?

Answers

Throughout the 8th to 14th centuries of what is now recognized as Islamic Golden Age, accomplished Arab scholars and inventors made exceedingly eminent contributions to science, mathematics, and technology.

how did the work of Arab scholars and inventors promote European exploration in the 1400 & 1500's?

Substantially, their advancements in astronomy, navigation, and cartography immensely facilitated European exploration from the 1400s to 1500s.

Arab astronomers crafted pioneering methods for assessing the locations of stars and planets which enabled mariners with more exact navigation on high seas.

Additionally, they invented astrolabes, a highly-refined tool utilized for navigation and measurement, eventually becoming a necessity for European explorers. Concurrently, illustrious Arab cartographers constructed some of the most precise maps of the world during the time, granting European discoverers profoundly accurate data regarding the geographical terrain that they conveyed.

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A bank offers interest at an annual rate of 7,5%, compounded monthly. A customer deposits R1 600 at the end of January, R1 200 at the end of May and R2 100 at the end of October of a year. This is represented by the have in his account on the first of December of that year, rounded to the nearest ten cents, is​

Answers

Answer:

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the amount of money in the account at the end of the year

P = the principal (initial amount deposited)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the time (in years) that the money is invested

In this case, the interest rate is 7.5% per year, compounded monthly, so we have:

r = 0.075/12 = 0.00625 (the monthly interest rate)

n = 12 (the number of times the interest is compounded per year)

For the first deposit of R1,600 at the end of January, the money is invested for 11 months (February through December), so t = 11/12.

Using the formula, we can calculate the amount of money in the account after the first deposit:

A1 = 1600(1 + 0.00625/12)^(12*(11/12))

= 1600(1.00520833333)^11

= 1761.44

For the second deposit of R1,200 at the end of May, the money is invested for 7 months (June through December), so t = 7/12.

Using the formula again, we can calculate the amount of money in the account after the second deposit:

A2 = 1200(1 + 0.00625/12)^(12*(7/12))

= 1200(1.00413554793)^7

= 1258.57

For the third deposit of R2,100 at the end of October, the money is invested for 2 months (November and December), so t = 2/12.

Using the formula once more, we can calculate the amount of money in the account after the third deposit:

A3 = 2100(1 + 0.00625/12)^(12*(2/12))

= 2100(1.00103808165)^2

= 2111.10

To find the total amount of money in the account at the end of the year, we simply add up the amounts from each deposit:

A = A1 + A2 + A3

= 1761.44 + 1258.57 + 2111.10

= 5131.11

Therefore, the amount of money in the account on the first of December, rounded to the nearest ten cents, is R5,131.10.

Final answer:

This question deals with the computation of compound interest for different deposits made throughout the year. Each deposit has a different compounding period, and the balance in the account at the end of the year is the sum of the amounts with interest for each deposit separately computed and rounded to nearest ten cents.

Explanation:

To calculate the balance at the end of the year, we have to calculate the compounded interest for each deposit separately and then sum them up. First, we need to figure out the number of compounding periods.

For the R1 600 deposited at the end of January, there are eleven compounding periods (February through December).For the R1 200 deposited at the end of May, there are seven compounding periods (June through December).For the R2 100 deposited at the end of October, there are two compounding periods (November and December).

We then use the formula for compound interest, which is A = P(1 + r/n)^(nt). In this formula, A is the amount of money accumulated after n years, including interest. P is the principal amount (the initial amount of money), r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.

Since the interest is compounded monthly, n equals 12.

For the R1 600 deposit: A = 1600(1 + 0.075/12)^(12*11/12), for the R1 200 deposit: A = 1200(1 + 0.075/12)^(12*7/12) and for the R2 100 deposit: A = 2100(1 + 0.075/12)^(12*2/12). By adding these three values together, you will get the balance in the customer's account on the first of December, rounded to the nearest ten cents.

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