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The A Plus Project
Canada
Приєднався 13 бер 2011
Finding the periodic payment of a mortgage
This video shows an application problem involving the computation of the periodic payments and the cost of financing a mortgage. The problem solved is the following:
Daniel purchased a condominium apartment for $690,000 with 25% down and monthly payments amortized over twenty-five years. If interest is 4.5% compounded semi-annually,
a) what is the size of the monthly payments?
b) What is the cost of financing?
Daniel purchased a condominium apartment for $690,000 with 25% down and monthly payments amortized over twenty-five years. If interest is 4.5% compounded semi-annually,
a) what is the size of the monthly payments?
b) What is the cost of financing?
Переглядів: 64
Відео
Computing the periodic payment in a general annuity Combination problem
Переглядів 7321 день тому
This video shows an application problem involving two general annuities. Given the periodic payment for the first annuity, we need to compute the periodic payment of the second annuity. the problem is the following: Mei Li invested $350 at the end of each quarter at 3.2% compounded annually. At the end of five years, she could withdraw equal amounts at the end of every six months for nine years...
Finding the Periodic Payment of a General Annuity
Переглядів 8021 день тому
This video shows an application problem involving the computation of the periodic payment of a general annuity. It also explains how to use a scientific calculator to achieve this task. The calculator used is the Sharp 520. The problem solved is the following: What payment made at the end of every six months for fifteen years will accumulate to $ 18,000 at 5% compounded monthly?
The Present Value of a General Annuity Combination Problem #2
Переглядів 6621 день тому
This video shows an example of an application problem in which we need to compute the present value of a deferred ordinary general annuity. In this case, I show the solution of the present value of the deferment period in two ways: first, using the usual rate of interest in the problem, and second, using the equivalent periodic rate of interest computed in the period with payments. The problem ...
Present Value of a General Annuity - Combination Problem #1
Переглядів 6621 день тому
This video shows an application problem in which we need to compute the present value of a general annuity with a deferment period (the first payment of the annuity takes place after a period in which only the initial deposit is earning interest). the problem is the following: Mr. Richards intends to retire in eight years. To supplement his pension he would like to receive $950 every three mont...
Present Value of a General Annuity
Переглядів 6921 день тому
This video shows an application problem in which we need to compute the present value of an ordinary general annuity. It shows how to store the periodic value of the periodic rate of interest in the memory of a scientific calculator (I use here the Sharp 520), and how to use later the stored number for computing the present value of the annuity. The problem explained is the following: An instal...
Future Value of General Annuity - A Combination Problem
Переглядів 7521 день тому
This is an example of a problem that combines two periods of compound interest. One of these periods involves the computation of the future value of an ordinary general annuity. The problem is the following: Scott has saved $1,200 every six months in a savings account earning 5.25% compounded quarterly for the last six years. He plans to leave the accumulated savings for eight years in the savi...
Future Value of a General Annuity
Переглядів 6521 день тому
This video shows how to compute the future value of a general annuity, using the following problem as an example: Mrs. Jagger made payments of $150 at the end of every three months for 16 years earning 4.5% compounded monthly. How much interest is included in the future value of the annuity?
General Annuities
Переглядів 7921 день тому
This video explains the concept of a general annuity and shows an example of how to compute the future value of a general annuity. We show how to use a scientific calculator to achieve this goal. The calculator used here is the Sharp 520. We show how to calculate the value of the periodic payment and how to store this value in the calculator's memory. Later, we show how to recall this number fr...
Finding the Nominal Rate of Interest
Переглядів 117Місяць тому
In this video, I explain with 3 examples how to find the nominal rate of interest in an investment in which we know the present value, the future value and the term of the investment.
Equivalent Rates of Interest
Переглядів 101Місяць тому
In this video, I explain with two examples how to find an equivalent nominal rate of interest, compounded over a given number of periods per year, when we know another nominal rate of interest compounded over a different number of periods.
A Nominal Rate from an Effective Rate
Переглядів 100Місяць тому
In this video, I explain with two examples how to compute a nominal rate of interest, compounded a given number of periods per year, when we know the effective rate of interest.
The Effective Rate of Interest
Переглядів 116Місяць тому
I explain the concept of an effective rate of Interest, and how to obtain a formula to compute an effective rate of interest when we know the nominal rate of interest with its conversion frequency. At the end I solve some examples.
The uniform distribution - Example 2
Переглядів 2543 місяці тому
As an application of integral calculus, I solve in this video a probability problem that was asked by one student: A bus on line A arrives at a bus station every 4 minutes and a bus on line B every 6 minutes. The time interval between an arrival of a bus for line A and a bus for line B is uniformly distributed between 0 and 4 minutes. Find the probability a) That the first bus that arrives will...
Using the Poisson distribution table
Переглядів 3014 місяці тому
What happens if software is not allowed and you are able to use only a table? In this video, I explain with an example how to use the Poisson distribution table for solving a problem that can be modeled by the Poisson distribution. It explains the three tradicional question in which you need to find the probability that the variable have exactly a value, at most a value, or more than a value. T...
The Expected Value Example # 5 (The Bakery Expected Revenue)
Переглядів 4165 місяців тому
The Expected Value Example # 5 (The Bakery Expected Revenue)
Discrete Probability Distribution in Excel
Переглядів 4056 місяців тому
Discrete Probability Distribution in Excel
Working Discrete Probability Distributions in the BA II + Calculator
Переглядів 6266 місяців тому
Working Discrete Probability Distributions in the BA II Calculator
The Expected value of a Discrete Probability Distribution (The Bakery Problem)
Переглядів 5666 місяців тому
The Expected value of a Discrete Probability Distribution (The Bakery Problem)
Addition, Subtraction, and Scalar Multiplication - Matrix Operations
Переглядів 1 тис.Рік тому
Addition, Subtraction, and Scalar Multiplication - Matrix Operations
Operations with Matrices - Scalar Multiplication
Переглядів 1,1 тис.Рік тому
Operations with Matrices - Scalar Multiplication
Monopoly, Cartels and Price Discrimination
Переглядів 1,3 тис.Рік тому
Monopoly, Cartels and Price Discrimination
Multivariable Optimization - Exercise #1
Переглядів 1,1 тис.Рік тому
Multivariable Optimization - Exercise #1
An Application of the Extreme Value Theorem
Переглядів 530Рік тому
An Application of the Extreme Value Theorem
The Box of Maximum Volume Problem - Univariate Optimization
Переглядів 515Рік тому
The Box of Maximum Volume Problem - Univariate Optimization
well explained sir 🙌
I’m really glad you found it useful
Thank you Sir,I really clear .
You’re welcome!
Thank you professor
Any time!
Excelent explanation.
Glad you think so!
Thanks!
Of Course!
very nicely explained! thank you
Glad it was helpful!
This video saved me thank you so much for this
I'm glad to know it was useful
Thank you for your easy to understand explanations. Keep up the good work
Thanks, will do!
very useful,thank
Glad it was helpful!
help me to solve this question: A bus on line A arrives at a bus station every 4 minutes and a bus on line B every 6 minutes. The time interval between an arrival of a bus for line A and a bus for line B is uniformly distributed between 0 and 4 minutes. Find the probability: a) That the first bus that arrives will be for line A. b) That a bus will arrive within 2 minutes (for line A or B).
Yes for sure, I will help you. This evening I will make a video of how to solve this problem. Besides the concept of uniform distribution, you know integration, am I right?
I have posted a solution to this question in ua-cam.com/video/w-eV621AorY/v-deo.html
thank you sir.
I‘m glad you found it useful.
Great! Thanks a lot!
Glad you find it useful
Super tutorial
Glad you think so! You can write in the comments any math or statistics problem you want to get an explanation.
Great
Glad you found it useful!
❤️ Promo*SM
Glad you found it useful!
Thanks for the explanation professor, it was very clear.
Good to know from one of my number one subscribers 👍
It's very clear! Thank you so much
I’m glad you have found it useful. Please feel free of ask any question in the comments.
My problem is that I don't know how to use the formula in the calculator to arrive at the final answer.
Hi Bashiru, Thanks for your interest. I understand your problem. Every calculator is different but every scientific or financial calculator has a key for the exponential function. You can see the following video in which I explain how to use that ba II + calculator of Texas instrument for solving a similar problem: ua-cam.com/video/NtmBrDzoKRI/v-deo.html. This is a long video, but the explanation of the calculator is from about minute 18
awesome you gained a sub
😋I m glad you’ve found it useful
This is awesome you are a great recture
Thanks. I am Hernando. If you have further questions do not hesitate and type them in the comments. I’m looking for students questions for making videos of interest. A little about me can be found in the Wikipedia page en.m.wikipedia.org/wiki/Hernando_Burgos-Soto
Ratio + does not work
Thanks for sharing. If the function does not have indetermination, just make a substitution, example g(1). If the function is a ratio with an indetermination 0/0, as the one in the example, you cannot make the substitution. So, you will need to use the graph of the function and click on the point of the graph that has x coordinate given by the value x approaches.
another great lecture
Glad you think so!
great lecture
I’m really glad you like it
it really helped me in my final exam @@theaplusproject1
great explanation, thank you so much, specially, I understood the difference between mu and lambda
You are really welcome! Yes, I have followed the notation of some textbooks (Groebner's textbook from Pearson for example) that show the difference between the average (lambda) in the segment of the information of the question, and the average (mu) in the interval of the actual question of the problem. Some other classical textbooks only consider in their explanation the average in the actual question of the problem, and for them, mu and lambda are the same thing. So we need to be careful what type of notation your book is using. Thanks a lot for your participation.
Thank you so much for your time giving further information. good day Sir @@theaplusproject1
Muchas gracias Profesor. por la tan detallada explicación. Sin embargo. me pregunto si podrías extenderte en la contribución de Cantor o si esta esta restringida exclusivamente a la creación de la Teoría de Conjuntos.
Hola Adrianmonk, gracias por tu pregunta y por tu interés en el tema. Por supuesto una vez la teoría de conjunto entra en escena el concepto que ahora conocemos como función queda casi por completo determinado. En efecto Cantor lo utiliza en definiciones y demostraciones. Por ejemplo en la sección 4 del artículo de 1895 "Contribuciones a los fundamentos de la teoría de números transfinitos" Cantor define la operación exponenciación entre números naturales n^m, como el número de posible funciones (el llama a las funciones "cubiertas" del primer conjunto), entre un conjunto que contiene m elementos y otro que tiene n elementos. Incluso, en este artículo, Cantor llama función de x y denomina f(x) a lo que nosotros conocemos como imagen de x.
Gracias, Información recibida@@theaplusproject1
Your very welcome. Please feel free to ask any question related to this topics@@adrianmonk4468
Muchas gracias por este vídeo. Siento que me va a ayudar en mi preparacion para mi examen.
Me alegra mucho que lo hayas encontrado útil.
Excelente video. Excelente pedagogía: enuncia el concepto, lo parafrasea, lo ilustra con ejemplos sencillos, define los elementos usados en la definición, aplica el concepto, repite para ayudar a memorizar, etc. Muestra las fuentes originales y en distintas lenguas: ésta es la labor de un académico serio. Se pueden leer las notas fácilmente mediante el uso del acercamiento de la cámara. El volumen del audio es adecuado, y mejoró hacia el final. Felicitaciones: me quito el sombrero..
Muchisimas gracias. Comentarios como este me invitan a seguir en esta labor.
How e^-5?
Thanks for your question. I understand that your question is how to compute e^-5. Well e=2.7182818, approximately. So, one way to compute this will be using this approximation in your calculator and use minus 5 as the exponent. However, every Financial and Scientific calculator has a key for the exponential function (e^x) you can use this function of your calculator. If you want to know more about the number e, you can see my video: ua-cam.com/video/6ShLN8B8xDs/v-deo.html
thanks big brother may god bless you
You’re very welcome. Please let me know if you need to see the solution of other problem in a UA-cam video
Thanks a lot. This make it clearer!
I am glad you’ve found it useful! Please feel free to ask any question.
I loved it <3 , thank you .
I’m glad you found it useful, please let me know if there is any other problem you would like to be featured in this Channel
Hi sir, ur video makes me so motivate to learn this material. But can I ask, why when we find question c we should put 1 in cumulative part in excel? Thank u
Hi Alifia, Thanks for your words. Any time that we want to compute a probability of the form, P(X<=a) (with a less than or equal to), we need to inform Excel that this is a problem of cumulative probability. For doing that we can type in Excel, as final argument, "TRUE", or a 1, that has the same meaning in Excel. With this, we inform Excel that is true that this is a cumulative probability. If the problem is an exact probability, that is to say is of the form P(x=a), then we need to inform Excel that it is not cumulative typing as a final argument "FALSE" or a 0. If you have further questions, do not hesitate in asking us. Thanks again
Thanks!
Your really welcome Adrian :)
The formula for the crash multiple is: ∞/(∞-X), X is randomly selected from 0~∞. The data are 6.51 and 9.51 The result is = 33.88 Can you explain to me how to find this result please Can you give me a solution to this issue
Hello MM-ys4fx, Could you provide more information about the context of your question. I will be very happy helping you and providing a video explaining. However, I will need more information. What is the topic? What do you mean when you say "crash multiple"? What is the subject you are studying?
@@theaplusproject1 I am not good at English but I am a moment that the responsibility is giving a number and predicting the result The Data Are 6.51 and 9.51 The Result Is = 33.88 The result is the number of prediction I want it because I discovered that one of the games are going on this pattern
@@MM-ys4fx I still want to help you. however I do not understand exactly what Is the actual question. If you want, you can write the whole question in your mother tongue ( if is taking from a book, type exactly as it is), and I will try to translate using a digital translator.
@@theaplusproject1 شكرا لك حقا انك انسان رائع ما اقصده اني العب لعبه اسمها الطيارة وهذه الطيارة تتحطم في ارقام مميزه وكأنها تستخدم معادلة معينة او خورازميه معينة ولذالك بحثت حتى حصلت على هذه المعادلة التي تستخدمها اللعبة
@@MM-ys4fx Great I like the problem, and I think I can help you to solve it. But Still I have some questions: The plane can crash in any real number, from minus infinite to infinite with the same probability? You told me that there are two data 6.51 and 9.51. What role do these two numbers play?
Thanks so much. Do you do statistics tutoring as well?
I am very glad that you found this video useful. Unfortunately, I do not tutor at this time. However, if you make a comment asking me a math question, I'll be happy to make a video of the answer and post it here in this channel.
promo sm 😇
I am very glad that you found this video useful. Unfortunately, I do not do tutoring at this moment. However, if you make a comment asking me a mathematics question I will be happy making a video with the answer and posting it here, in this channel.
Thank you very much all the way from Cameroon
I’m really glad you found it useful please share with your friends. If you have any math, probability or statistics exercise that you want to be featured in this channel, please let us know.
What is the value of e
e is approximately 2.7182818285. It is la base of natural logarithms. Every scientific calculator has a function to compute its powers, e^x. In this channel there is a video showing deduced to how this constant can be obtained here it is the link ua-cam.com/video/6ShLN8B8xDs/v-deo.html
@@theaplusproject1 thankyou 👍👍
Great teaching skills. Much appreciated!
I'm really happy knowing you found it useful!
god bless your soul
I’m glad to know that you found it useful. If you have any question or mathematics problem, you want to know how to solve. Please do not hesitate to ask me by this means. Thanks
Thank you for such a simple and to the point explanation. This was really helpful.
I’m glad you found it useful
I couldn't figure out what I was doing wrong, but it is clear now with your explanation. Thank you, professor!! =)
I’m happy knowing that you found it useful
I really appreciate it🙏🏻 💛
We're glad to know that you found it useful. Please share with classmates if possible and do not hesitate in asking us questions about probability and statistics or any other math topic. This channel is for answering students questions
Hi sir how did you got P(X < 3) = 1 (P <= 3) instead of P(X < 3) = 1 (P < 3) ?
Hi Yuyu, Thanks for your question. This problem is solved using the probability of the complement of an event P(A)=1-P(complement of A). When you ask P(x>3), 3 is not included, so you need to include it in the complement. In case of a discrete variable, as a poisson variable, to be more than 3 is actually to be or 4, or 5 or,6, etc. 3 is not included. Then if you are going to use the complement, this will take into account all the numbers that are not there: 0, 1, 2 and 3. For that reason you compute 1- P(x=<3) to include the 3 in the complement of the event
@@theaplusproject1 thank you Sir 🙏🏻
how can we calculate without excel?
Hi Ibeth, Thanks a lot for your question. If you consider that is necessary, I will make a video in two days (Please let me know). Anyway, here is the answer to your question. In case you are not allowed to use Excel, you will need to have a t-distribution table in your hands. You won't be able to calculate exactly the p-value, but you will be able to have an estimation and take a decision. In this example, because there are 17 degrees of freedom, you should check the row of the table corresponding to 17 df. and notice that the t-value we obtain in this problem -1.768 is lower than -1.740 (in the table the values are positive) which is the value in that row and the column corresponding to two-tails 0.10. That means that the p-value is lower than 0.10 and you can reject the null hypothesis.
@@theaplusproject1 Thank you so much. If you do a video about that. Please tag me 🙏🏻
@@ibethdiaztapia1033 Hi Ibeth, I posted a solution of the same problem, now using a t-distribution table. the link of the video is this ua-cam.com/video/Saku8bXIMu4/v-deo.html. The goal of this channel is no other that to be a help to students. So, a feedback from you will be important. Please make a comment in that video and ask any question you could have. Your questions and comments will be of good help for us. Thanks
What's the value of p here?
Thank you for also explained it in excel
I’m glad to know that you found it useful
You are a life saver!! ❤
I’m really glad to know that you found it useful
If all instructors could make it this concise and to the point! Thank you for making this video.
I’m glad that you found it helpful. Please share with your friends. And do not hesitate to ask me for a video about a problem you would like to see the solution.
Thanks! Pearson was total garbage explaining parts b and c
Thanks Josh! Please share with your friends!. And do not hesitate in asking question about any statistics exercise you want to see a solution. You'll always get a video with a solution.
Your Welcome! Thanks a lot for your comments!
Hello! I understand now, but can you explain what to do if I need to find, no one, but several equal payments
Hi there, thanks for your question. I have already upload a video that could answer your question. Could you check it an let me know: ua-cam.com/video/XZPChFMVC-8/v-deo.html