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Cumulative Voting : What It Is & How It Works?



Cumulative Voting : When a company’s directors are elected, the technique is called cumulative voting.

In most cases, each shareholder has one vote per share multiplied by the number of directors who must be chosen.

Proportional voting is a term used to describe this approach. Individual investors benefit from cumulative voting because they can apply all of their votes to one candidate.


What Is Cumulative Voting and How Does It Work?

When electing a new director or board of directors, cumulative voting is employed.

In most cases, each shareholder has one vote per share, multiplied by the number of directors to be chosen.

A shareholder’s vote is proportional to how many shares they own.


The shareholder has the option of dividing his or her votes among several candidates or applying them to just one.

Cumulative Voting: What You Need to Know

Cumulative voting is a voting technique that allows shareholders to vote according to the number of shares they own in a company.

This permits a shareholder with 100 shares to vote on a single issue with the equivalent of 100 votes.


Assume that several people are being considered for a variety of roles, such as board positions.

In that circumstance, each shareholder has the option of casting all of his or her votes for one seat during elections or for one option when voting on other issues.

The shareholder, on the other hand, has the option of splitting his votes amongst numerous possibilities.


Minority Shareholder Benefits

Minority shareholders are said to profit from this procedure since they can concentrate all of their efforts on a single candidate or decision point.

When a group of minority shareholders work together to focus on a single goal, they can often sway a change or appointment in their favour.

Cumulative Voting as an Alternative

If an organisation prefers not to use cumulative voting, it can use statutory voting instead.


Shareholders receive some votes according to the number of shares they own in these instances, but they must cast their votes on all positions or issues under discussion.

If three board seats are available and a shareholder owns 100 shares, the shareholder will have 100 votes for each of the open seats.

This is in contrast to cumulative voting, which allows a shareholder to designate all 300 votes to a single seat.


Cumulative Voting in the Real World

If a shareholder votes in a vote for two open board seats, candidates A and B are vying for the first seat, and candidates C and D are running for the second, the shareholder will have 200 votes.

The shareholder could choose to vote just in the first seat vote, casting all 200 votes for candidate A, his preferred candidate.

The shareholder could alternatively vote entirely for candidate C on the second seat, casting all 200 ballots for him.


If a shareholder desires to vote in both seats, he or she can cast 100 votes for candidate A and 100 votes for candidate C.

A shareholder can also direct the votes in a different proportion, such as 150 votes for candidate A and 50 votes for candidate C.

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Digital Marketing

The Top 5 Digital Marketing Programs for Post-Graduation Study



Online presence has grown to be a crucial step in expanding brand awareness and client reach. A digital marketer coordinates resources to reach the appropriate audience, creates leads, and closes deals with them. Everyone is becoming more present online than offline as a result of the increased usage of technology. We read blogs instead of newspapers since we don’t have much time. Because we are busier with YouTube and other media, TV has become outdated. What value will offline marketing still have for businesses with so many people using the internet?And for that reason, a digital marketer’s role is crucial.


One of the most coveted careers nowadays is in digital marketing programs. Because you only need a graduation degree in any stream, no special degree is required. You can learn everything you need to know about becoming a digital marketer at your desk thanks to a variety of online and offline courses. Although the courses are brief, they are also reasonably priced. Online free and paid courses offer a wealth of information, and you can obtain certification by passing specific certified exams.



Every day, new courses are added, which is beneficial for keeping you current. There is never a shortage of things to learn because the digital marketing sector is evolving so quickly. The ones who have been in the sector for a long time, in addition to newcomers and working professionals, keep an eye on new content to keep themselves informed. Once you have completed your fundamentals, you can select courses based on your needs. Every digital marketing programs should take the top five courses listed in this article, which we are sharing today. Whether you are a novice or a seasoned professional, if you haven’t chosen this course yet, do so right away.



Certification for Google Adwords


Google continues to be the biggest and most flexible pay per click network. The importance of Google Adwords certification is obvious from the name alone. You become a more knowledgeable and trustworthy digital marketer as a result. The qualification adds a lot of value to your resume. Google offers the certification for free, but because the exam is difficult, you must study the course material. There are numerous online courses that can be used to practise and master the ideas. They help you every step of the way, and some of them even give you lifetime access. You must take the exam after studying the course material, and Google will award you a certificate if you do.



Course on Google Analytics


In marketing, it’s important to regularly evaluate your performance. Campaign analysis reveals the value of your outcomes in relation to the time and money you committed. The use of Google analytics tools is well known for helping you to comprehend the results of your work. But not everyone can easily access the best features of these potent instruments. A professional should be aware of the steps involved in creating an account, using advanced features to gather data, processing the analysis, and configuring. In addition to numerous other sources offering both free and paid courses, Google also offers the course content for free.



Certified Inbound


Learning terminology like sales funnel, blogging, SEO, landing sites, lead generation, conversion interpretation, content marketing, social media management, and email marketing is crucial for a digital marketer. You can access the course material online from a number of reputable digital marketers as well as enrol in offline classes. By developing infographics and presentations, the online classes explain everything much like a traditional classroom.



Training in Social Marketing


The largest marketing channel available now is social media. To reach potential customers, marketers use Facebook, YouTube, Linkedin, Twitter, and other social media platforms. However, managing social media to get meaningful client support is not an easy task, just like marketing is not an easy one. Time and expertise are required for profile optimization, reaching the proper audience, controlling strategy, producing content, managing campaigns, and other crucial tasks. The courses teach you how to use social media to promote your client’s business and attract clients. If you blog, the course is also beneficial to you. Typically, this marketing course is broken up into six sections for easier comprehension.



Specialist in digital marketing


The emphasis of this digital marketing course is on all facets of the field. For simplicity, the race is typically broken down into five sections. Social media marketing, mobile marketing, pay-per-click advertising, digital analytics, conversion optimization, email marketing, SEO, and content marketing are among the topics covered in the course. The cost of the course is typically slightly higher than that of many other courses. However, the cost seems much less than a regular degree when you consider the advantages and the depth of knowledge you gain.

Also Read: Start Learning Quora Course To Get Helps In Marketing Field
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Sociology Major Jobs: Top 6 Jobs With Sociology Degree



Sociology Major Jobs: Sociology covers many topics. It includes social causes and effects, as well as complex relationships between individuals and groups. Follow centralfallout to get updated.

Sociology students graduate with a deep understanding of sociological issues, and the ability to suggest solutions and improve society. You can pursue many different career options with a degree in sociology, depending on the people you choose to work with.

6 in-demand Sociology Major Jobs

Sociology Major Jobs

1. Youth Development

A sociology major can find a rewarding career working with young people in their community. This path is for those who are passionate about youth development, with a particular focus on education, rehabilitation and healthcare. Youth workers, social workers, child care workers, and sports development officers are some of the most common roles that focus on youth.


2.Community Welfare

This path is for sociology graduates. They focus on the welfare of the most vulnerable members in the community, including the elderly, young, and poor. This role requires empathy and strong interpersonal skills. It also requires a deep understanding of the impact of laws and regulations on society. Equality and diversity workers, community officers, and social workers are all common roles in community work.

3.Public Services

While working in community development is very similar, the work in public services can be quite different. Public services can include probation and prison services as well as criminal justice, rehabilitation, housing services, social services and public health services for sociology graduates. While the exact skills needed to work in public service depend on the role, the general requirements are that workers must be able to think critically and analyze the legalities of their particular sector.


A sociology major is the best person to manage marketing. This individual has studied society and its buying habits and can use that knowledge to market. Companies are always looking for sociology-related candidates to help them understand the needs of different audiences and then focus their marketing campaigns accordingly. Market research analysts are experts in conducting interviews, surveys and other methods to collect data, test products, and evaluate the effectiveness of marketing campaigns. This is a highly paid job.


5.Media Planning: Sociology Major Jobs

Media planning requires the same skills as marketing professionals. Media planners are employed to assess the advertising needs of clients, and to devise a media plan that maximizes sales to various demographic groups. Because of their ability to analyze and interpret the viewing habits of their target audience, sociology graduates are well-suited for this job.

6. Management Consultants

Organizations hire management consultants to analyze and evaluate their business and find solutions for clients. Management consultants need to have the ability to conduct qualitative and quantitative research. Sociology students are also able to present and problem solve, making them a great fit for this job.

The Top Tips for Sociology Major Jobs 

After you’ve learned about the career opportunities available to sociology majors, here are some tips to help you choose your path and stand out as a candidate.


1. Enjoy a Real-World Experience

Sociology majors need to gain experience beyond class. This is not only for your resume building, but also to determine what type of work you are interested in. It can be difficult to get a sociology degree without having some experience. Tara Goodfellow, a Muse career coach, owns Athena Consultants, Inc. She says that it is possible to gain more exposure while earning your degree. Even if you’re trying to figure out what you don’t like, it can be helpful.

You can search for:

  • Internships: Taking on different internships will allow you to discover areas of interest that can help you choose what career path to take, Lucas says. She wanted to learn more about the nonprofit sector, so she went on to become a nonprofit administrator.
  • Experiential learning courses. These courses allow you to get out of the classroom and work with community organizations on a project that will show you the practical application of the material you are learning. She says, “It’s one to learn it but another to actually experience it within the community.” It makes it real.
  • Casanova states that research can be done with either a professor or a graduate student. It also provides hands-on experience in research and is great for a resume.

2. Get in touch with alumni

You can also look into the careers of recent graduates to find out what they are doing. Look up alumni at your school on LinkedIn or in a dedicated alumni directory if you have one. You can also see their career paths. Lucas suggests that you reach out to someone if you notice them doing something interesting and you want to know more. You never know what it could lead to. That’s how I got my first internship at college.

Check to see if your school has alumni events. Laura Enriquez (director of undergraduate studies at UC Berkeley) says that students have the opportunity to meet alums in panel discussions. This allows them to ask questions and to mingle with others who’ve been there. We now hold an alumni night for our students once to twice a year so that they are aware of the many options available after graduation.


3. Include relevant skills and experience on your resume

Goodfellow suggests that you include information about internships, jobs, research, and other relevant experiences on your resume. You can also list courses from your program if they are applicable to the role you are applying for.

Casanova also suggests that you include skills in your resume. “So, for example, think about the statistical software you used in your stats class or any qualitative research methods you used or practiced.”

To find the best jobs, you can also use the skills that you have identified. Casanova advises that you don’t search for jobs that have’sociology in the title’ because there won’t be any. “Look for jobs that require a bachelor’s degree. Make sure to include keywords that correspond with your interests and skills, such as’research’ and ‘analysis.”


If you need any help in deciding what your next steps are after you have completed your sociology degree, your school’s career service office can help. They will help you to think about the best jobs for you and make you competitive for those jobs.

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Hard Math Sat Problems: Top 10 Hardest Questions



Hard Math Sat Problems: Do you find yourself dreading the SAT Math section. You are not the only one. This is a common problem. That’s okay. Knowing what to expect is half the battle.

This article will help you prepare for the exam and provide examples of some of the most difficult SAT math questions that you might face. Follow centralfallout to get updated.

What does the SAT Math Section include?

Hard Math Sat Problems

Hard Math Sat Problems: The math section of the SAT has 58 questions and you have only 80 minutes to complete them. The first section is “no calculator”, which lasts 25 minutes and has 15 multiple-choice and 5 grid-ins. The second section allows you to use a calculator and lasts 55 minutes. It has 30 multiple choices and 8 grid-ins. You can access certain formulas in both sections, so you don’t need to remember them.


Math questions cover these topics:

  • Heart of Algebra. This section allows you to ask questions about graphs, linear relationships and functions.
  • Data Analysis and Problem Solving. This includes scatterplots, ratios and proportions as well as data inferences, precents and data collections.
  • Passport to Advanced Math. This section addresses questions regarding nonlinear expressions and polynomial factors.
  • Additional Topics. The majority of questions will be answered in one of these sections, but others will cover geometry, complex numbers and trigonometry.

This exam will include questions about geometry, trigonometry and radians.

Do You Need to Focus on the Most Complex Math Question Right Now?

You can take a practice test to see if your score is in line if you are just starting your study prep or if you have skipped this crucial step. Take a look at our guide to the free SAT practice exams online, and then go ahead and take a test.

It is best to take the SAT practice test and assess your current level. Keep the timing straight and use only the permitted breaks. Once you have a clear idea of your current level, percentile ranking and your goals, you can set milestones for your ultimate SAT Math score.


If your score is in the 200-400 range or 400-600 range, you should first read our guide to improving math scores. Then tackle the hardest test questions.

You can read the rest of this guide if you score above 600 in the Math section. If perfection is your goal, or close to it, then you will need to be able to identify the most difficult SAT mathematics questions and how to solve them. We’re able to do that, thankfully.

Tips for taking the SAT Math Section: 

Hard Math Sat Problems: These are some tips to help you pass the SAT Math section.


1. Practice Exams

Practice exams are one of the best ways to prepare for the SAT. You will be able to get as close as possible to the “real deal” before you take your official test. You must also take them in the same conditions. This means that there are no distractions, no time limits, no turning back to previous sections, or taking breaks at the right times.

Once you’ve taken a practice exam, review your work. Do you have any areas of the Math section that you failed to do well on? Before you take another practice exam, make sure to pay attention to those sections. If you are really struggling with math, you might want to speak to your teacher or work with a tutor.

2. Take a look at the questions. They range from easy to difficult.

The easiest SAT Math questions come first, then the hardest. You’ll need to pace yourself as you want to be able answer the difficult questions.


If time is running out and you don’t have the answers to those difficult questions, you can finish what you can and guess the rest. If you are serious about the section, there is no penalty for guessing!

3. If it’s not in the Calculator Section, you don’t need a calculator to answer it!

Many students fail to answer questions in the no calculator section of the SAT exam. They believe there was a mistake. It’s also impossible to answer the question without a calculator. This section will not require your calculator. If you can’t find your calculator, it is likely that you don’t know what you need.

Hardest Questions

Hard Math Sat Problems: The “hardest” math questions can vary from person-to-person, just as beauty is in the eyes of the beholder. A practice exam can help you identify the areas that are most difficult.


This College Board study guide has examples of difficult questions and information about each section.

  • Questions about Heart of Algebra
  • Sample questions on Problem Solving and Data Analysis
  • Questions from Passport to Advanced Math
  • Additional Topics sample questions
  • Multiple choice sample questions

Preparation is the best thing you can do for your SAT Math section score improvement and to tackle difficult questions. Knowing what to expect and practicing will help you succeed, even when the official test date comes around.

Even if the school does not require SAT/ACT scores, they can have an impact on your admission prospects. Use our College Match tool to find out what schools want in a student, and which SAT score should you aim for.

Top Hardest SAT Math Questions

Question 1

Hard Math Sat Problems

People see this question quickly and assume it’s asking for the laptop’s price with the tax discount, says SAT Blog Love The SAT. Pay attention, it is asking for the original cost of the computer.


Alma pays 8% sales tax. This can be expressed as 108% of price. A 20% discount is also available, which means that Alma pays 80% of the price or 0.8.

If p is Alma’s total payment to the cashier, and x the original price for the laptop, then the equation will read as follows:

p = (1.08)(0.8)(x).


Divide both sides by (1.08)(0.8) to solve for x.

x = p/(1.08)(0.8).

The correct answer to this question is “D.”


Question 2

Hard Math Sat Problems

The price per pound for beef (b), when it is equal to the chicken price (c) is what you are trying to find. Or, if b = c, then 2.35 + 0.25x = 1.75+ 0.40x. Dora Seigel, PrepScholar writes that you must find x to put it back in the “b” equation .

Add 1.75 to each side:

2.35(-1.75) + 0.25x = 1.75(-1.75) + 0.40x


This leaves you with 0.06 + 0.25x = 0.40x. Add 0.25x to each side.

0.6 + 0.25x(-0.25x) = 0.40x(-0.25x)

0.60 = 0.15x


Last step:

0.60/0.15 =x

4 = x


Once you have the value of x, it is possible to use it in the equation to calculate the beef price:

b = 2.35 + 0.25x

– 2.35 + 0.25(4)


– 2.35 + 1.

= 3.35

The correct answer to is “D”, $3.35


Question 3: Hard Math Sat Problems

Hard Math Sat Problems

Mark the most important information and determine the question before starting work.

In this instance, you are looking for sinF’s value.

You should start with the basics: triangle ABC is a right triangular, and angle B an angle. This means that AC is the hypotenuse, and BC is one side.


To find the length of the side remaining, you can use the Pythagorean Theorum:

A+ B= C2

A+ 16= 202


A= 20– 162

A = (400)-(1)256

A = 144 = 12.


According to the problem, triangle DEF is very similar to triangle ABC. This means that C and F are the corresponding vertices of sinF = sinC.

You’ll be able to recognize the acronym SOHCAHTOA and know that sin is opposite/hypotenuse.

sin F = sinC = 12/20 = 3/5 = 0.6


The answer to this question is 3/5 or 0.

Question 4

Hard Math Sat Problems

Caroline C. of Chegg wrote that there were a few correct answers. But be careful. This question asks for the absolute value of x. It is not asking for the actual value.

The absolute value of x-3 should be between six to seven. Multiple values of x can work, such as -3.1,-3.2, and so on. You would then write the absolute value of these numbers, such as 3.1,3.2, etc., because that’s what they want.


Question 5

Hard Math Sat Problems

PrepScholar says eight is the power of two. This means you can simplify things before you start:

8x/2y = (23)x/2y = 23x/2y

You can now rewrite the equation 2 (3x-3y) because the numerator AND denominator are the same. It’s so convenient! It was clear that the problem indicated that 3x – 12 = 12.


2(3x-y) = 2(12)

The answer to this question is “A”, 2 (12),.

Question 6

Hard Math Sat Problems

PrepScholar shows a cylindrical grain silo with two cones. Both have formulas to calculate their volume.


Volume of a cone = 1/3 pr 2h

Volume  of a Cylinder = pr 2h

Volume of silo = pr 2h + (1/3 pr 2h).


Simply use the image to determine the radius and height.

p(52)(10) + (2)(1/3) p(52)(5) = (4/3)(250)p = 1047.2

The answer to this question is “D”, 1047.2 cubic feet.


Question 7

Hard Math Sat Problems

First, the graph shows that the yintercept for the graph is 2. This automatically removes “C” from areas where the yintercept is 2.

The graph’s vertex is located at x = 0. This means that the “b”, in the quadratic equation 2 + Bx + C, must be 0. The graph would shift to the right or left if it were not. You can use the FOIL method to rule out “B”, and “D”. PrepScholar provides a detailed explanation of the FOIL method and how it can be applied to this question.

The answer to this question is “A”, y = x 2 + 2.


Question 8

Hard Math Sat Problems

If you know the length of one radius of a circle, you know them all.

Here, the problem tells you that sides AB and AO of a triangle are equal. BO and AO are circle radii. AO and BO are equal because circle radii are always equal. That means that triangle ABO is an equilateral triangle, and all of its angles measure 60 degrees.

The answer is “D,” 60 degrees.


Question 9

Hard Math Sat Problems

Prepscholar says speed is important for the SAT. Imagine that RS is the circumference of a complete circle. This is possible because the image shows two radii, and two half-circles. Add them together and you get one circle.

Circumference = Pd, so “C” is 12p.

Question 10: Hard Math Sat Problems

Hard Math Sat Problems

PrepScholar recommends plugging in real numbers to a theoretical math question to figure out the correct answer.


Let’s say a = 3 and b = 2. Which of the options results in an odd number?

A: 3 x 2 = 6

B: 3 + 3 = 6


C: 2(2+3) = 10

D: 3 + 2(2) = 7

E: 2(3) + 2 = 8


The answer is “D,” a + 2b.

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