Why English Tutoring Can Be Helpful

Why English Tutoring Can Be HelpfulWhen you are teaching English, getting some English tutoring can help you get through the process more efficiently. There are many reasons why an English tutor may be needed, but there are also ways that you can benefit from English tutoring. Here are the top reasons that you may want to consider a tutor:If you are teaching English to a new class of students or to a group of non-native speakers, English tutoring can be beneficial. You will want to ensure that your students understand what you are trying to teach them. Being able to communicate with your students in their native language gives you more control of how the lesson goes. While you may not be as fluent in English as you would like, you can still communicate effectively with your students when they are speaking English. And being able to be in control of the lessons will make the entire process easier.If you are teaching a group of native English speakers to use the English language, you w ill need some way to learn and demonstrate how to use English correctly. By getting some English tutoring you can learn how to do this through interaction, and teaching them the English grammar rules. There are several resources that you can use that will help you teach them, such as online video tutorials, audio lessons, and interactive software programs. Your students will learn to use the language as quickly as possible without having to spend the time learning to use it correctly.If you are teaching ESL students in your classroom, English tutoring can help to bring your class together as a unit. Many ESL students find that they get along better when they have an English tutor to interact with, especially if they are a very young group of students. For this reason, you may find that ESL tutoring is a great way to teach younger students about the world, the language, and the concept of conversation in English.If you are teaching English as a second language, you may need some assi stance in order to meet with a variety of people. The most common languages used in the UK are Welsh, Gaelic, and Scots. These cultures each have their own unique dialects, which can take some time to get used to.English tutoring can help you be more confident in your teaching because you will be able to get feedback from your students and from other teachers. By having these students as your students, you will be able to see firsthand what the students are learning and they can tell you what they think you are doing wrong. You can also go back and review what you have learned from your students and give them tips on how to improve themselves in English.If you are in charge of the communication for a multinational company, you will probably be visiting different countries and meeting with native speakers. You will need to be able to speak English fluently so that you can make it clear to people that you mean business. And the fact that you are able to converse with them in their lan guage will help you to win the trust of your customers.For any number of reasons, you may need to seek out the assistance of an English tutor. If you have children who are learning English, getting some tutoring can be beneficial in that it will give you the chance to teach them the language. If you are teaching a group of English speakers, tutoring can help you get them to understand the concepts of English so that you can communicate with them clearly.

Online Chemistry Textbook - Are You Looking For The Right Online Textbook?

Online Chemistry Textbook - Are You Looking For The Right Online Textbook?There are a lot of schools and colleges out there offering online chemistry textbooks. Many of these online courses are aimed at juniors and college students who have some sort of background in chemistry. However, there are also a lot of institutions that offer online chemistry textbooks for those who are not able to go to their own school and enroll in one.You can search the internet and you will be able to find some excellent sites that offer online chemistry textbooks for the convenience of the students who are in the process of enrolling at their local college or university. They are able to browse through the various online books available, pick the one they prefer, and then the process of purchasing it is up to them. One thing you need to make sure is that you make sure that the online textbook is of a high quality and is very easy to read.A particularly good way to go about finding the right online chemi stry textbook is to use some websites that specialize in selling textbooks and providing information on how to buy them. Most of these sites are dedicated to offering great deals and services to their visitors. You just need to find a reliable site that offers a lot of assistance for their visitors. They may even offer free courses on how to buy chemistry textbooks for you to check out.After you have found the place where you want to buy from, make sure that you check out their price list and see how much they are going to charge you. Make sure that you have looked around and that you do not settle for anything less than what you feel comfortable with.While making your purchase, make sure that you look at the cover page of the right online textbook. You should also make sure that the site that you are browsing has high customer feedback so that you can know that the books are durable and can last for many years. You also want to make sure that the online textbook offers you informat ion on all the topics you need to be aware of in your course.Online textbooks have become very popular in the recent years. They have allowed us to study without having to leave our homes and they also allow us to save time. It is no wonder that this particular type of textbook has become very popular.A lot of people go online every day and they are looking for the right online chemistry textbook. If you go and look around and make sure that you pick the right one for you.

English Degrees Distance Learning Courses

English Degrees Distance Learning CoursesEnglish degrees distance learning courses are aimed at adult learners and students of different levels. These are courses that make use of audio and video technologies to allow for extensive learning in a short time span. These audio and video courses are specially created to increase the convenience of English learners.The learner will be able to access the course material from a computer at home or wherever he or she is, even without being physically present. In addition, the learner will get access to videos and audio lessons over the Internet. There are many benefits of distance learning. The learner is saved from commuting. This would mean fewer cancellations in the programs of the subjects of choice.Many websites have sprung up offering these courses distance learning. Some are available online, while others provide online delivery of the programs.It is a very easy thing to access these courses distance learning. The students have to reg ister themselves in the learning institutions. This may depend on whether the institution is offering the distance learning program or not.While the learner is registered, he will have access to the program material as well as review material for a specified time period. If a learner completes the online program, he will be credited with an official certificate. This is true for both online and campus based classes. In addition, some schools give the certificates after completion of the course.It is also possible for the learner to acquire a certificate which can be used in the selection of a school or college of choice. Even the educational institutions have a right to ask for the academic credit on the basis of the distance learning course.The distance learning in English degrees distance learning may be accessed through many different methods. These include electronic devices like iPods, MP3 players, computers, laptops, smart phones, eBook readers and many more. The learner can a lso access the course material through the Internet. This option allows the learner to check the course material on his or her own terms and therefore saves money and time.

Second Grade English Tutoring Online - Getting Through Your First Year in College

Second Grade English Tutoring Online - Getting Through Your First Year in CollegeLooking for a second grade English Tutoring Online? This might be your first time to seek assistance from this kind of service. Maybe you are interested in taking up a new career or starting out in life and want to find a great job to support yourself, but you are struggling to come up with the materials to get that job. Or maybe you are a person who does not have the time to go to school but is in need of having a wonderful career that will provide you a considerable amount of financial security.Maybe you want to finish up a degree that you thought was going to take forever, but you wanted to get the diploma before the recession hit. No matter what your reasons are, you will surely benefit greatly from the services that are offered by English Tutoring Online. It is the fact that it is easier than ever to do. You don't have to drive a hundred miles to see a tutor and you don't have to stay at home on Sun day mornings. You can work from the comfort of your own home.The world of Second Grade English is quickly approaching you. You have some questions about some of the fundamental subjects that you are going to need for your English course. There are many resources online that will help you answer these questions and also teach you about the concepts that you need to understand for the exams that you have to pass.By taking a class with an English course that you know nothing about you will not be able to obtain the knowledge that you need to understand the concepts in this course. Not only will you not be prepared for the subject but you will also be exposed to quite a bit of your professor's thought process and methodology.English tutor services can help you so much in this regard. You have the time to do it while having someone come into your home to learn all the things that you need to learn from the very beginning. By allowing the tutor to help you find the concepts that you are u nable to find on your own you will be able to find that basic understanding that you need to finish the course successfully.Having English tutor services on the web for a Second Grade English Tutoring Online is easy. There are many web sites online that offer these services. You just have to research on the internet and find the one that offers the service that you are most interested in.A Second Grade English Tutoring Online course will help you find that understanding that you were missing from your academic curriculum. The best part about this course is that you don't have to sacrifice your own personal interests in order to take this course. You can have the academic assistance that you need with the materials that you will need to pass the examinations that you need to attend and succeed in your job that you are seeking.

Define Vertical Angles

Define Vertical Angles Vertical angles are those angles which are opposite to each other when two lines cross each other. These can be better understood by the following figure:- In the above figure angle 1 and 3 angle 2 and 4 are vertical opposite angles. It is important to note that these angles are always.That is angle 1 = angle 3, and angle 2 = angle 4. This is very important part of the geometry. One can find unknown variable especially unknown angles with this concept knowledge. Example 1:- Find the unknown angle 1 and 3 in the below mentioned figure. Solution: Given One angle is 60 degree and other angle is 120 degrees. We have to find the value of angle 3 and angle 4. For the same we know that vertical opposite angles are equal Since Angle 3 and Angle 120 degrees are vertical opposite angles, so they must be equal. Hence, Angle 3 = 120 degrees. Similarly Angle 4 and 60 degree are vertical opposite angles, so they must be equal. Hence, Angle 4 = 60 degrees In this we have evaluated two unknown angles. Example 2:- Find the unknown angle 1 and 3 in the below mentioned figure. Solution: Given One angle is 80 degree and other angle is 100 degrees. We have to find the value of angle 3 and angle 4 For the same we know that vertical opposite angles are equal Since Angle 3 and Angle 100 degrees are vertical opposite angles, so they must be equal. Hence, Angle 3 = 100 degrees. Similarly Angle 4 and 80 degree are vertical opposite angles, so they must be equal. Hence, Angle 4 = 80 degrees.

The Best Dance Accessories

The Best Dance Accessories What Do You Need to Learn to Dance? ChaptersBuy the Right Dance ClothesInvest in a Dance BagExtra Accessories for Learning to DanceLearning Materials for DancersWhere Can You Buy Dance Equipment?“Don’t limit your challenges, challenge your limits!” - AnonymousMore and more people are choosing to learn how to dance.But how do you get ready for your first dance class?Tango shoes, tights, pointe shoes, leotards, skirts, petticoats, shorts, culottes, etc., what accessories and dancewear do you need for learning how to dance?Here are the answers to all your questions on dance accessories. SeamDance Teacher 4.96 (24) £25/h1st lesson free!Discover all our tutors JamieDance Teacher 5.00 (6) £50/h1st lesson free!Discover all our tutors ErickaDance Teacher 5.00 (1) £25/h1st lesson free!Discover all our tutors SamuelDance Teacher 5.00 (4) £100/h1st lesson free!Discover all our tutors FlavioDance Teacher 5.00 (7) £25/h1st lesson free!Discover all our tutors HakimDance Teacher 5.00 (5) £50/h1st lesson free!Discove r all our tutors HannaDance Teacher 5.00 (4) £30/h1st lesson free!Discover all our tutors ClareDance Teacher £30/h1st lesson free!Discover all our tutorsBuy the Right Dance ClothesLearning to dance costs both time and money. Don’t worry, though! Dancing is an activity that doesn’t necessarily require a lot of equipment.It’s up to each person to decide exactly what they’ll need and how passionate they really are about dancing.However, here’s some advice to get you started when choosing your dance apparel to make sure you get the right clothing.You have to be comfortable when learning to dance. (Source: Bernard-Verougstraete)Choosing a TopIt’s important, when learning to dance, to wear comfortable clothing, especially when it comes to tops. You also need to be aware that you’ll get hot while dancing and exercising. You may also be required to wear several layers in some instances.That’s why a lot of dancers opt to wear a leotard and a top they can take off if they g et too hot. It should fit nicely and allow you to train comfortably.When you're practising in class, you don't need to worry too much about dance costumes. You can often wear a camisole or a top you can move around in comfortably.Buying the Right BottomsChoosing the right bottoms is important because your legs need to be able to move about a lot.We tend to think that loose trousers like jogging bottoms are perfect for learning to dance. However, if they’re too loose, they could end up hindering your movements.Leggings and tights are often worn with tops or you can get unitards. They won’t hinder your movements and you won’t get too hot in them, either.There are specific dance tights and dance pants you can get which are better suited to moving around a lot. They'll come with an elastic waist. Depending on your style, you might need footless tights, especially if you're not wearing shoes and don't want to slip on the parquet.There are different uniforms for different discipline s. While you'll probably only wear a tutu if you're doing ballet, there are many different dance skirts available for dancers. You need to be able to move in your skirt, especially for disciplines like Argentine tango.There are dance shorts available for both men and women. Like we said about tops, you also need to get comfortable bottoms when you dance.Knowing  what to expect during your first dance lesson may help you choose the right dance wear!Choosing ShoesSome people prefer to dance barefoot. However, shoes can help keep your feet in the right position and help you to avoid certain injuries. Arguably, dance shoes are the most important thing a dancer will buy.You need the right shoes for the style of dancing you’re doing, too. While women will have to wear heels for Argentine tango, ballet dancers will need ballet pointes (also known as ballet slippers).Given how many different styles there are, you need to make sure you have the right footwear. While a ballerina will opt fo r a pointe shoe, the only real ballet shoe you can get, if you're doing ballroom dance, you'll need ballroom shoes.Of course, you can't do tap dancing without tap shoes but you can do rhythmic gymnastics without any shoes.Invest in a Dance BagWhether you’re doing evening classes, private tutorials, group classes, a dancing training, you’re going to need to have your own dancing equipment. To transport all this equipment, you’re going to need the right bag.Dance bags are usually cylindrical holdalls with handles on the top.While this bag is very common amongst dancers, it doesn’t mean that it’s the only type of bag you can get. However, it is very popular for just how good it is at transporting dance equipment. You can carry it either on your shoulder or in your hands.You should get an appropriate bag to transport your gear. (Source: Free-Photos)In addition to the bag, you need to carefully choose what you put in it.To get the most out of your dance classes, make sure you b ring a bottle of water along so you can stay hydrated throughout. You can also bring along a change of clothes to put on once you’ve finished.  This can be useful for regulating your body temperature once you finish.In any case, a good bag is one that doesn’t weigh you down. You may have to spend the whole day with it because you don’t have time to go home before your dance class. It has to be both discreet and practical.I recommend getting a bag just for your dance equipment. This means you won’t have to empty it out after each session.Discover the benefits that dancing can have on your mind and body! SeamDance Teacher 4.96 (24) £25/h1st lesson free!Discover all our tutors JamieDance Teacher 5.00 (6) £50/h1st lesson free!Discover all our tutors ErickaDance Teacher 5.00 (1) £25/h1st lesson free!Discover all our tutors SamuelDance Teacher 5.00 (4) £100/h1st lesson free!Discover all our tutors FlavioDance Teacher 5.00 (7) £25/h1st lesson free!Discover all our tutors HakimDance Teacher 5.00 (5) £50/h1st lesson free!Discover all our tutors HannaDance Teacher 5.00 (4) £30/h1st lesson free!Discover all our tutors ClareDance Teacher £30/h1st lesson free!Discover all our tutorsExtra Accessories for Learning to DanceSometimes there’s equipment that you wouldn’t typically think of. These accessories aren’t essential, but they can be really useful.It’s always a good idea to have a few accessories in your bag as you never know what’s going to happen.Hair AccessoriesIf you have long hair, these might be essential. It can be really annoying trying to dance and constantly having your hair in your eyes.Most ballet dancers will have their hair in a bun. A simple ponytail can also do the trick.Make sure to bring a load of bobbles and hair clips. You can also buy nets that go around a bun so that it stays in place throughout a dance show.If you've got long hair, you might want to tie it up. (Source: 455992)Protection for Your FeetWhen you learn b allet and have to wear ballet pointes, you often need something to protect your feet.You can buy silicone or foam toe covers to protect your pointes as well as lambswool toe protectors.  You can also get spacers to put between your toes to avoid bunions.You might also need varnish and toe caps for throughout the year.  Of course, you can get these as and when you need them. You don’t need to buy everything for your first lesson. It’s a good idea to wait and hear what your dance teacher has to say.It’ll also depend whether you’re doing the waltz, swing, boogie-woogie, breakdancing, pilates, salsa, African dance, merengue, Bachata, cha cha cha.Learning Materials for DancersIt’s not always obvious what you should get. Sometimes you’ll need more than just weekly lessons in order to make as much progress as you want to. It might be worthwhile investing in some extra learning materials.You can buy books on the history of dance and certain dance techniques. Some books can show you certain steps and provide you with some good tips. Of course, you can’t replace a teacher with books, but they can help.Using a DVD can often be more effective than a book since you can see exactly how to learn a certain step with a DVD. You might get it wrong if you were just reading how to do it.DVDs are generally sold in terms of the style of dance and the level (beginner, intermediate, expert, etc.).You can learn a lot from books, even dance techniques. (Source: Gellinger)You can also find free content and paid-for content to complement your dance tutorials.Platforms like YouTube offer plenty of videos on how to dance and learn dance moves. It would be a shame to not use them.All these learning materials can be used to help you learn how to dance on your own. This is very useful for those who, for one reason or another, cannot get dance lessons.What is the best age to start dancing? Clearly, younger dancers cannot learn from YouTube, right?Find the best dance classes near me are there.Where Can You Buy Dance Equipment?There are plenty of ways to buy your dance equipment. You can get clothing, shoes, DVDs, etc. in both stores and online.Sports shops often sell dance accessories, too. You can find dance equipment in places like Decathlon, for example, where you’ll find an entire aisle dedicated to dancing and performance arts. However, there’s nothing stopping you checking out the other aisles, either.There are also dedicated dance shops. These shops are more likely to be found in larger cities. They’ll have a better range of products and more choice.If you don’t live near one of these shops, don’t forget that a lot of them will have an online store. More and more of them are going online.  The internet is great for finding plenty of accessories. You can compare prices and products.There are plenty of different dance accessories (shoes, clothing like tutors, tights, tutus, leotards, etc.) available online.  However, there’s one big disadvan tage to buying online. You can’t see the quality of each item.For those on a budget, you can also find second-hand accessories. You can get everything you need without breaking the bank.Whether you’re doing ballroom dancing, Latin dancing, modern dance, hip hop, Zumba, belly dancing, pole dancing, tap, contemporary, flamenco, or jazz, you’ll be ready to go!Learn more about dancing in this complete guide for the beginner dancer!

Can You Do Math Effectively with Online Math Tutor

Can You Do Math Effectively with Online Math Tutor Math basically is an interpretation of universal truths through logical analysis of formulas and theorems which need a number of problems to illustrate them. Doing Math thus becomes a hard and hazardous task for many students and they miserably attempt problem solving to find no good results. Seeking the help of an Online Math Tutor becomes an urgent matter for many such students and they also do it for their immediate stress relief or better scores in Math areas. What you need to expect from an online Math tutor? Subject expertise Years of experience to handle any challenging homework task Psychological approach to student mentalities Brainstorming sessions for deep subject insights Punctual and prompt in communication Supported by hi- tech tools Revising the subject topics and repeating the chapters if necessary Who is an effective Math tutor? A person who focuses on your basic skills in Math and strengthens them Picking out your loopholes at the very outset and trying to set them right at once Brushing up your knowledge of previous chapters and giving training in the weak areas for avoiding loopholes What benefits you gain from an effective Math tutor? Personalized care and attention which you miss in your classroom atmosphere Training you not only for today’s Math struggles but strengthening your Math strategies and subject knowledge for tomorrow’s subject learning Teaching you tips and strategies which help you in your exam hall Providing homework help on time to avoid late submission Helping you progress in your Math grades from C to B or B to A. Teaching you stress management techniques for overcoming Math anxiety Boosting your self-image about Math understanding Teaching you more than a method for solving a problem Training you in techniques that help you complete your Math test paper with success Why to avail Math homework help? Math Homework Help from virtual tutors bring s a positive outlook on Math work changing your negative attitude towards Math through white board explanations from tutors and their instant rectifications of your errors with step by step analysis of each homework problem. The tutors answer your queries at any time with patience and with understanding of your struggles and dilemmas in Math areas. Math Homework Help For Getting Into The Crux Of Math Pro Assignment help- booster of scores Math assignments are a real headache for students who find Math classes boring and not engaging. They want some assistance for their assignments since they know not the formula or method to arrive at the solutions for the given problems. Math assignment help is a great success or with timely assistance and guidance from tutors who know how to complete Math assignments with adherence to deadlines and guidelines and thus enable students to score high in their assignments. Tutor Pace renders Math help for students to get over their obstacles in doing Math and get onto the top of the class with fantastic scores.

A Student Review of University of Notre Dame

A Student Review of University of Notre Dame The tutors behind Varsity Tutors are not just here to teach theyre sharing their college experiences as well. Kenny is a St. Louis tutor specializing in Algebra tutoring, Calculus tutoring, History tutoring, and a number of other areas. He is currently a junior at University of Notre Dame majoring in Economics and Math. See what he had to share about University of Notre Dame: VT: Describe the campus setting and transportation options.How urban or safe is the campus?Are there buses or do you need a car/bike? Kenny: The University of Notre Dame campus is very beautiful. It is about an hour east of Chicago, and it is quite safe. The schools campus police swiftly handle any criminal incidents. Because the alumni and administration want to maintain a safe and friendly environment, the campus is only accessible via one main road. Buses, however, are available to take students to and from Midway and OHare Airports in Chicago. There is also an Amtrak station close by, as well as a regional airport approximately 10 minutes from campus. Many students own bikes, and they use them during the fall and spring months to more quickly access areas of campus that are far from their dorms. VT: How available are the professors, academic advisers, and teaching assistants? Kenny:Most professors hold office hours at last three times per week, and they are often available even when they do not have posted office hours. The same is true of teaching assistants. The professors are very personable, and they are quick to respond to any difficulties you may have. The academic advisers are intelligent, engaged, and quick to respond to student needs. The First Year of Studies advisers are particularly helpful in leading each freshman to the best course of study for them. VT: How would you describe the dorm life rooms, dining options, location, socialization opportunities with other students? Kenny:University of Notre Dame dorm life is very active. Students are interested in their hallmates, and you are likely to make many friends wherever you live. In other words, because the school has no fraternities, dorm communities often become tight-knit families. Rectors (headmasters) and resident assistants are, without fail, great leaders who make a vigorous effort to be involved (but not overly so) with the on-campus life of each dorm resident. The University of Notre Dame has several dining options, and its dining halls are among the best in the nation. One of them even looks like Hogwarts. The most incredible aspect of the University of Notre Dame, however, is the schools unique ability to unite strong athletics and academics with an inspired Catholic faith. No other school can offer this combination the way that University of Notre Dame does. VT: Which majors/programs are best represented and supported?What did you study and why? Did the university do a good job supporting your particular area of study? Kenny:The Mendoza College of Business has been ranked #1 for undergraduate study in the country. However, all schools (and all departments within the schools) are well represented and supported by University of Notre Dame administrators, alumni, and faculty. I studied Economics and Mathematics because I have always had a very analytical mind, and I love both Abstract and Applied Math. My professors and classmates inspired me to pursue a graduate degree in Economics. VT: How easy or difficult was it for you to meet people and make friends as a freshman? Does Greek life play a significant role in the campus social life? Kenny:Due to its reputation as a strong Catholic institution, Greek life is literally nonexistent at University of Notre Dame. Nonetheless, and perhaps due to this unique attribute, meeting other freshmen and upperclassmen who share similar interests, goals, and values is very easy (and enjoyable). I can confidently recall having made 10 close friends within my first two weeks of college. VT: How helpful is the Career Centerand other student support services?Do many reputable companies recruit on campus? Kenny:The Career Center, Student Activities Office, and University Health Services are all very helpful. The University of Notre Dame hosts over 300 student-led organizations, and the Mental Health Center is a great resource for students who find themselves struggling to adjust to college life. The Career Center ensures that students have the opportunity to accept internships and jobs from such companies as Pfizer, JPMorgan, John Deere, and the American Enterprise Institute. However, the Career Center also ensures that students who wish to pursue advanced degrees have all the necessary resources to do so. VT: How are the various study areas such aslibraries, the student union, and dorm lounges? Are they over-crowded, easily available, spacious? Kenny:The University of Notre Dames study areas are many and varied. Students can choose to study in one of their dorms lounges, the bookstore, the LaFortune Student Center, the Hesburgh Library (which boasts 3.39 million volumes and 14 stories), or one of the several other libraries around campus. Each of these study spaces offers something different some are busy, some are very quiet, some are best for group projects, and others are best for an intense final review before that Econometrics exam you almost forgot to study for. VT: Describe the surrounding town. What kinds of outside establishments / things to do are there that make it fun, boring, or somewhere in between?To what extent do students go to the downtown area of the city versus staying near campus? Kenny:The campus of the University of Notre Dame offers everything that many students desire. As a result, some students may never feel a need to leave. However, when they do want to relieve stress, South Bend has several friendly bars, a fun nightclub, a minor league baseball team, and many opportunities for service. While some students spend their evenings in prayer and reflection with a few of their closest friends, others attend events off-campus. The University Park Mall and the Eddy Street Commons host several retail outlets, local restaurants, and a few evening happy hours close to campus. For many, the 57 chapels or Grand Basilica offer a refuge from the busy week of studying and extracurricular activity that almost all University of Notre Dame students undertake. The school can be as exciting or as conservative as you desire. In short, the University of Notre Dame community is incredibly well rounded and offers much for everyone. VT: How big or small is the student body? Were you generally pleased or displeased with the typical class sizes? Kenny:University of Notre Dames student body (including graduate students) is approximately 12,000 people. Around 8,000 of these students are undergraduates, a size that allows many students to know each other well without imposing on one anothers personal space. I was very pleased with my typical class sizes. I often shared the class with enough students to form study groups, but I also developed a strong personal relationship with many of my professors. VT: Describe one memorable experience with a professor and/or class. Perhaps one you loved the most or one youregretthe most. Kenny:My favorite class as a student at University of Notre Dame was Econometrics. Though many students have claimed this to be the most difficult course in the Economics major, I emerged from the class more determined to attend graduate school than ever before. My professor, the department chair, was a very difficult instructor. He was also one of the brightest, most inspiring men I have ever had the opportunity to know. Check out Kennys tutoring profile. The views expressed in this article do not necessarily represent the views of Varsity Tutors.

Define Exponential Growth

Define Exponential Growth Exponential growth is a growth that occurs when rate of change increases at equal intervals. In simple words, any quantity that grows by a fixed percent at regular intervals. A best example of exponential growth is increasing human population. Exponential growth is represented by a function y= a (1 + r) x where a is the initial amount before measuring r is the rate or percent and x is the number of time interval passed. The following are the examples that explain exponential growth. Example 1: James started his bank account with $200 at an annual rate of 4%. Find the amount of money left in the account after 15 years. Solution : Given Initial amount (a) = $200 = Annual rate (r) = 4% = 4/100 = 0.04 = Number of years(x) = 15 = Substitute the given values in exponential growth formula, = y= a (1 + r) x = y = 200 (1 + 0.04) 15 = y = $ 360 = Amount of money left in his account after 15 years = $ 360. Example 2: Brandy has $600 in her account after 5 years of investing at rate of 2% every year. How much money did she started with? Solution 2: Given: Amount in her account = $600 = Annual rate (r) = 5% = 5/100 = 0.05 = Number of years(x) = 2 = Use Exponential growth formula, = y= a (1 + r) x = 600 = a (1 + 0.05)2 = 600 = a. 1.1025 = a = 544 = Initial amount she had was $544.