greetings everybody welcome in happy,monday december 20th i am guest hosting,for dave this morning had a little,change up on our plans so i'm guest,hosting he's going to take over later in,the week um but good to see you guys as,you're coming in let us know where you,tuning in from and how was your weekend,let us know,we are,we had a great weekend,uh nothing crazy i guess uh let's see,what did i do this weekend,i don't know i i mostly just did nothing,later around the house i got a good nap,yesterday i never nap but i got a good,nap yesterday that was cool,that's just some good relaxation so,anyway welcome in uh to everybody who's,here we've got an awesome guest as usual,uh we do this show every monday through,friday at 10 a.m eastern we go live um,it's never scripted in fact typically i,get a little um,a little questionnaire with the guests,info and just a little blurb about them,so i can you know come in and i'm not,just,um completely flying in the dark,and uh and today i don't even have that,so we're literally just i was like are,you ready to go live we're just gonna,hit live and we're gonna hit it and go,so i'm excited to learn about cindy,she's up from jersey,and we're just going to chat for a,little while this morning about her and,her journey and she's tried a lot of,different things online uh so let's,bring in cindy what's happening,hi,thanks for having me,of course thanks for coming on thanks,for taking the time what uh,uh so you're from jersey uh you said,before we went live you've tried a lot,of different stuff why don't you,bring,uh our guests and our community into,your world and just tell us a little bit,about you tell us you know do you work,at job have you tried other things to,make money online what does that look,like,um and how did you find us,well i've never actually had a,nine-to-five job ever i left college,about i think about my junior year,because i decided you know they always,say like do what you love and i love,shopping and it was around i think it,was the late 80s,um and so they i left to start a,personal shopping business and i didn't,know anything about marketing so i only,had a couple customers so that wasn't,really a good thing but it seemed like a,great idea at the time yeah but then i,went on and i rode horses i rode show,horses for years and so i traveled and,that was fun and then i,decided to start publishing a magazine,in 2003 and i had no idea about that but,somehow for 15 years we managed to it,was a it was a good run,sold one of the magazines and then about,2017 that's when i closed the second,magazine so that's when i really decided,i needed to find something else and i,knew my husband is kind of like a nine,to five,job guy he's like we'll get a job and,i'm like no if i've never had a job i'm,55 now i've never had a job why would i,start now so i'm like no but i've tried,it's embarrassing to say how many mlms i,tried and yeah tell us,10.,okay,i mean i tried everything um and then,my how i found you guys was i had the,magazine is i still own the one and i,still have all the social media and like,all the contacts and i thought well,that's a waste of a lot of people what,but i don't want to start printing again,so i thought well i'll be right back,digitally and i know doing that i could,have all kinds of links and connected to,things and and do a lot of stuff with it,the only thing i knew about affiliate,marketing was like,mlms have affiliate programs that's all,i thought that was all they were like,you know what i mean it was just a,part of an mlm yeah then started looking,it up and you might be too young you,probably have you ever watched the,wizard of oz yes okay remember the scene,where dorothy opens the door and it goes,from black and white to color yep,remember that well that's when i started,looking up affiliate marketing i'm like,oh my god this is like,this is a thing this isn't like,like it's nothing like i thought so then,i started looking and of course on tick,tock i saw a guy named matt chambers i,think was his name and he was like oh,you know you can make money doing this,and you can promote companies that you,like and i'm like oh my god that's so,much better than what i was doing and,so i i saw it that day and then i like,went to bed and then it was like the,middle of the night i woke up and i'm,like no i have to do this and i jumped,up and i like got my credit card and i,signed up and i started the next day so,that's the short version out here,wow that's crazy that's crazy that's,cool take us i'm just so curious about,sort of the mlm days uh,not to like take you back there but i do,find that a lot of people try out,different things before they come here,um so for instance like for you it might,have been that but for other people it,was like drop shipping or some sort of,an e-commerce store or something like,that,what what did you feel like was,attractive about that business model and,what what were you looking for or what,were you hoping to get out of tha
Let's move on to the first section of ratio meaning tiktok
Find The Gross Food Using Psychic Powers
Find The Gross Food Using Psychic Powers
when I win more games with the help of a,psychic let's talk about that,good mythical morning okay if you have,the power to see the future how would,you use it,I would see how I was gonna die,and then I would watch it over and over,again until it lost all meaning,therefore defeating death itself,well I would just use it to never lose,another game on the show oh okay,starting right now because we have,summoned a few psychics to help guide,the way to victory for me it's not far I,totally knew you were gonna do that,psychic SmackDown,welcome to the sanctum of six senses I,sense that our psychics are here and we,are about to meet them rat yes link,you're correct all right yep please,welcome Brie who performs tarot card,readings on Tick Tock for real yeah Tick,Tock so so you use the algorithm as part,of your yeah,yeah I I would,explain this well I just got in front of,the camera I try to channel an energy,and I trust that whoever it's being,delivered to needs that message and it,usually works out so you're trusting the,algorithm all right who else we got,Kimberly a fourth generation medium,oh okay so it runs in the family yes,fourth generation fourth generation so,that okay so that would be great great,grandparent grandmother grandmother,great grandfather and great great,grandfather who was actually Michelle,Obama's relative so I am Michelle,Obama's cousin,I like that okay,finally Linda who's been prone to,premonitions since the first grade oh,prone does that mean you have to lie,down to get the premonition it helps it,helps to Dream well feel free to make,yourself comfortable,it just sort of happens you know I get a,sense of something right before it,happens and so I go with it well,hopefully all three of you will be,helping me and not him at all you know,what I hope that as well,how does this gonna go so we're going to,be playing three GMM favorites today but,before each game you will both draw,tarot cards to see which of you gets to,consult a psychic before making your,guesses the ultimate winner will earn a,prize from the future oh I love those,this is the best guy okay okay,guys game number one takes place on our,psychic Susan one of the desserts in in,front of you is sugary sweet while the,other is a gross deceit our psychic,powers enough to tell the difference,before we find out you'll draw tarot,cards longest card gets power of choice,and Kimberly's help with that choice so,please go ahead in these tarot cards,look amazing I see that we've got all,types we've got Justice death strength,the Sun and others uh you know what,you go first you want to go first,I'm going to choose the death card death,oh it's very short oh look it's a cotton,candy Randy this is very well made I'm,going to go with the Sun,oh yes,it looks as if I have won the power of,sure choice you ever seen a tarot card,that long look at that okay okay so I,earned the right for you to help me,um I just want to establish,I don't know anything do you have you,been prepped in any way no I have no,idea what's going on okay well I do know,that like this thing will turn,completely,and I'm going to have to sink my teeth,into one of these to just discover if,it's nasty so I need you to tell me do,not eat that one,okay,that simple huh yeah I mean you seem,very confident,I mean pretty comfortable are you,tasting it right now is that uh no so,what I do is if you want to know how it,works I just concentrate on each one,and when,I focused and concentrated on that one I,actually got a little nauseous oh gosh,so that usually lets me know that that's,not okay or maybe it's just because I'm,hungry and I need to eat right right,right right right right yeah well I mean,who am I to go against yeah,I definitely think you should trust the,psychic all right,I'm putting all my trust in you okay,but you should know I'm more of a medium,yeah yeah yeah yeah yeah yeah yeah yeah,same time,uh-huh,take it and,take it,oh it's full of worms,what,what mine's got chocolate chips in it,okay what about this,I was wrong,well come on you know I'm so glad you're,wrong oh man I was counting on you girl,I was wrong but I did say I'm more of a,media yeah and I and I love it right,before we bit into it yeah but all of,these worms are dead so they should have,been speaking again,hahaha,okay for this round I'll be showing you,the first part of a clip but we'll pause,just before something unfortunate,happens I love these one of you will,have Bree's help with predicting the,correct answer so draw your tarot cards,to find out who,you gonna let me go first this time you,have a little uh it might be uh there's,actually a star a little star you know,what keep it what on my on the corner of,your mouth on the corner of my mouth,yeah looks like something David Bowie,would have done okay,uh in that case I'm gonna go with the,moon oh that's an average size Michelle,I'm gonna go with,the fool,oh first of all they put you on that,who's the what's up with that y'all but,you know what link it's upside do
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Continue the next second section about ratio meaning tiktok
Math Antics - Proportions
Math Antics - Proportions
Hi! Welcome to Math Antics.,In this lesson, we’re gonna learn what proportions are and how we can use them to find an unknown value.,The good news is, if you know about equivalent fractions, then you already know a lot about proportions.,To see what I mean, let’s start with the simple fraction 1 over 2 (or one-half).,Now let’s look at a pair of equivalent fractions, 1 over 2 and 5 over 10.,These fractions are equivalent because,,even though they have different top and bottom numbers, they have the same value.,1 is half of 2, and 5 is half of 10, so they represent the same amount.,Okay, but to understand what a proportion is, we need to start with a ratio instead.,A ratio is basically just a fraction that’s used in a certain way.,If you don’t remember what a ratio is, you can watch our video about them.,So let’s imagine that a student, who’s a really good reader, can read 1 book in 2 days.,We could say that the ratio of books to days is 1 over 2 (one book per two days).,Alright, but what if our student reads books at that same rate for 10 days.,How many books would they read?,Well, if they finish 1 book every 2 days, then in 10 days they’ll have read 5 books,,so that ratio would be 5 books per 10 days.,Ah, do you see what we have here?,These are equivalent ratios!,Just like the equivalent fractions, they represent the same amount so we can put an equals sign between them.,When we do that, we have a proportion.,A proportion is just two ratios that are equivalent (or equal).,Oh, and one thing that’s really important to remember…,In order for two ratios to be equivalent, they not only have to have the same value,,they also have to have the same units.,That is, they have to be representing the same thing on the top and bottom.,Let me show you what I mean.,This is a proportion because the top numbers both refer to ‘books’,and the bottom numbers both refer to ‘days’.,But what if we change the top unit of the second ratio to be ‘pizzas’ instead of ‘books’?,5 pizzas in 10 days is NOT equivalent to 1 book in 2 days.,So even though the numbers are still the same, this is no longer a proportion.,Or, what if we keep the same units and just switch them in the second ratio,so that the ‘days’ are on top and ‘books’ on the bottom.,Are they still equivalent?,Nope! This is not a proportion anymore either.,5 days per 10 books is NOT equivalent to 1 book per 2 days.,So the units have to be exactly the same for both ratios to form a proportion.,Alright then… So a proportion is a pair of equivalent ratios.,But why do we care? What are proportions good for?,Well, it turns out that proportions are really good for figuring out something you DON’T know from something you DO know,,and that makes them very useful!,For example, let’s suppose that our student (who’s a good reader),,has a BIG stack of books that they want to read (23 books to be precise),,and they want to know how many days it will take them to finish.,How do we figure that out?,Well, let’s start with what we DO know.,We know that they can read 1 book in 2 days.,So let’s take that ratio and set up an equivalent ratio for 23 books.,They key in setting up that equivalent ratio is to make sure that the units are the same as the first ratio;,books on the top and days on the bottom.,We know that the number of books that they want to read is 23, so that goes on top.,But the number of days it will take is unknown, so instead of putting a number there,,we’re going to put the letter ‘n’ there temporarily to stand for the number that we don’t know.,This is how you’ll usually see and use proportions in math.,Three of the proportion’s numbers will be known and one will be unknown.,Fortunately, if you know three of the numbers,,you can find the missing number easily using a procedure called cross-multiplying.,Cross-multiplying is just a short-cut way of doing some basic algebra,to re-arrange our proportion so we can find the unknown number.,To do it, we first start by writing down a new equal sign because cross-multiplying will give us another equation.,Next, imagine that a criss-cross shape (like an ‘x’) is overlaid on the proportion.,This cross shape tells you which numbers to multiply together on each side of the new equals sign.,1 and ‘n’ will be multiplied together on this side of the equation,,and 2 and 23 will be multiplied together on the other side of the equation.,Oh, and as long as you follow the criss-cross guides, it doesn’t matter which pair goes on which side.,Okay, so our proportion has been re-arranged… now what?,Well, on one side of the new equation we have two numbers being multiplied together.,The next step is to go ahead and simplify by doing that multiplication. 2 × 23 = 46.,But what about the other side of the equation.,That has a number being multiplied by our unknown letter ‘n’.,How can we multiply when one of the numbers is unknown?,Actually, we can’t!,Fortunately, we don’t need to because we’re just trying to figure our what our unknown number is.,What does
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Continue the next third section about ratio meaning tiktok
Ratio Analysis | Financial Statement Analysis
Ratio Analysis | Financial Statement Analysis
ratios are absolutely critical to,financial statement analysis,that's because we can use ratios to,analyze a company's performance over,time,spotting any trends or changes in,profitability leverage or other factors,but we can also use ratios to analyze,the company's performance compared to,that of its competition,we can look at competitor a and,competitor b and say how does their,profit margins compare to the company,that we're looking at,so people generally put ratios into five,different categories,okay so we got profitability ratios,short-term liquidity long-term solvency,activity aka efficiency ratios and,market value ratios,i'm going to go over each of these,categories in more detail on the videos,to come but i just want to give you a,general overview here,so profitability ratios is margins and,rates of return so there's really two,different types of profitability ratios,and they tell you different things,margins are things like gross margin,operating margin profit margin,they tell you about a company's ability,to manage its expenses,they can also tell you a little bit,about the company's strategy because,like companies for example that tend to,have like,higher prices and be more like a,differentiator type strategy with like a,higher quality product,you might expect them to have higher,profit margins now rates of return are,also related to profit,but what we're doing with rates of,return we have things like return on,assets return on equity return on,invested capital,what we're doing with each of those,we're taking some measure of profit,usually net income,and dividing it by something so for,example roa we take net income and,divide it by the company's average total,assets,that gives us an idea of how profitable,the company is,given the assets it has at its disposal,and that's really helpful if you're,comparing two companies,let's say you're comparing company a and,company b and company a is a lot larger,than company b,you would expect company a to have more,profit if you just look at net income,because it's a larger company,but when we scale net income by total,assets,right now we're getting an idea okay how,good are you generating profit given the,assets you have,okay and then return on equity thinking,how good are you at generating returns,uh for your equity holders in terms of,profitability we'll go over those in,more detail we can even decompose roa,and roe,into their component parts now,short-term liquidity has to do with,is this company gonna be able to pay,their bills in the next year,are there gonna be any problems with you,know right now next 12 months is this,company going to have any,issues where they're not able to pay,their suppliers or something like that,we've got different measures we've got,the current ratio we've got the quick,ratio,long-term solvency also has to do with,the company's ability to pay its bills,but we're thinking beyond this year so,we've got a couple different types of,long-term solvency ratios we've got a,lot of different types of debt ratios,with debt ratio is trying to measure how,leveraged is this company like how much,have they borrowed,okay so how much how much debt do they,have and there are different ways we can,measure debt ratio for example you look,at like long-term debt divided by total,assets,and you say well what does that tell us,well if one company uh,60 of their total assets are financed by,long-term debt,but another company is just like 10 of,their assets are financed by long-term,debt we'd say okay well this one,is a lot more a lot more leveraged they,have a lot more debt,but just because the company has more,debt doesn't mean,it's not gonna be able to pay the,interest and and repay the principal on,the debt and that's where we come in,with coverage ratios,coverage ratios like for example,interest coverage ratio we're looking at,a measure of profitability uh you know,it basically has a multiple of the,interest expense of the companies,incurring so we're looking okay just,because you have a lot of debt and you,got a lot of interest,doesn't mean you're not gonna be able to,pay it if you have a lot more profit,than you have interest,then you're gonna be okay now if you,start losing money,uh then we got a problem and that's you,know one of the issues with leverage,right the interest has to be paid,whether or not the company is profitable,now activity ratios aka efficiency,ratios,uh we've got we think about things like,the asset turnover,account receivable turnover inventory,turnover,and so whenever you hear like turnover,think okay this is an activity ratio,activity ratios are really helpful so,like asset turnovers tell us like how,efficient is this company at using,assets it has to to generate sales okay,so that's asset turnover,but we can also think like inventory,turnover how many times,years this company sell through its,inventory and then we can actually,convert that we can convert inventory,turnover,to days to sell inventory and then,there's things
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Continue the next fourth section about ratio meaning tiktok
How Much TikTok Paid Me For 1,000,000 Views
How Much TikTok Paid Me For 1,000,000 Views
hey everybody in today's video i want to,show you exactly how much tiktok paid me,for a million views on tick tock,and if you're not familiar with this,tick tock basically has this thing,called the tick tock creator fund,and they paid the content creators on,there a certain amount of money based on,how many views they get,now you do have to apply and you do have,to qualify,to get in but i just made a video on,everything i did to get approved for,that,so watch that if you want to join the,creator fund here i just want to show,you exactly the analytics,of the million views in a couple of days,and then exactly how much they paid for,those views,that match up with those days and with,tick-tock you could use the tick-tock,app here for all of that,and you could use also ticktock.com and,log in,and see some of your analytics on there,so i got 3.8 million views since,i actually joined about seven eight days,ago but a lot of those views were before,i joined the creator fund but here on,the tick tock app basically,if you have a creator account and you,join the fun you,you get this thing called the creator,tools if you jump in here,they have the creator fund over here but,i'll show you the analytics here,so you can see how it matches up with,the video views here so,if you go to this page what i got paid,for was,875 000 views here and 136 here,and 107 so about 1.2 million views,if you add all these up now the problem,is,you do already have to get to a hundred,thousand so the couple bigger viral,videos before that million views like,these two million views,so almost the 2.9 million views before,that didn't get monetized because it,takes a few,days to apply and then to get in after,you go viral for the first time,so let me show you what that adds up to,here under the creator fun tab so today,you can see i got a dollar,so let's look at the dashboard here so,the day,i got accepted for about 200 000 views,i got six dollars and then the day after,that,this is about 875 000 views,about 23. and then the day after that,three dollars so i didn't go viral after,this video i did go viral,multiple times previous to this video,though but i was not,in the tick tock creator fun at that,time so so far,this is about five days worth of revenue,about,36 but i did come up with a pretty good,strategy for going viral so i was able,to do it three times in seven days,but it doesn't happen every single time,and i did make a video on exactly,how i structured my video to go viral,but the real power of tick tock is not,how much they pay you for the creator,fund,it's the ability to go viral get a lot,of viewers and then get people to other,platforms or products or services,so for example what i ended up doing is,i put my youtube,channel here to try to get people to go,to youtube that didn't work so well,though because here's the problem if you,click on this,it opens a browser here so it's really,hard here to subscribe,what you want to do is actually link up,here i did it with instagram where it,takes you directly to instagram,i was able to get a couple of hundred,followers using this method,so i recommend you could link instagram,and youtube here but you could link your,website here so if you have a product or,a service,that's a good place again you need the,creator fund to add that but i want to,make a follow-up video in a few days to,show you a bunch of other ways to make,money on tick tock because the,the fact of the matter is it's so much,easier to go viral on tick-tock than any,other platform,so you could utilize that virality and,not just rely on the creator fund,because as you saw it's not very much,money so it doesn't make sense for,creators to rely on it,but you could rely on that attention and,get people to youtube and other,platforms,that'll follow up in the next upcoming,video and i'm also making a video,comparing one million views on tic tac,to 1 million views on youtube i want to,show you exactly how much i get paid for,both,so you could kind of get a comparison,it's really mind-blowing i'll post that,below as soon as it's released,i hope you found this useful please give,it a thumbs up i'll see you next time
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Continue the next fifth section about ratio meaning tiktok
Current Ratio
Current Ratio
in this video i'm going to show you how,to calculate the current ratio and then,i'm going to talk about ways that you,can apply the current ratio,to evaluate a firm's health so the,current ratio is a measure of short-term,liquidity when we talk about short-term,liquidity what we're basically trying to,determine is whether a firm is in a,position,to pay its bills it's obligations that,it's going to have in the coming year so,let's just get to the nitty-gritty and,look at the formula for computing the,current ratio so in the numerator we,have current assets and in the,denominator we have current liabilities,so when we think about the things that,are included in current assets and,current liabilities uh in the in the,numerator here we're going to have,things like accounts receivable,we're going to have cash,we're going to have inventory,we're going to have maybe the firm has,some kind of short-term uh or marketable,securities,marketable securities so so these are,the common things that we would find in,current assets,and then in current liabilities the main,thing that's going to stand out is going,to be,accounts payable and then also you'd,have like the current portion,of long-term debt current portion,of debt,so we've got we've got our obligations,that are going to be coming due in the,next year and then we've got the most,liquid of our assets right so our our,cash,obviously is is cash so we don't have to,worry about liquidity there accounts,receivable can easily be factored and,turned into cash uh securities can be,easily turned into cash and we'd like to,hope that our inventory can be turned,into cash so when we think about these,things what we're really trying to do,here with this current ratio is say okay,what is due in the next year,and do we have enough assets that are,liquid that could cover those,obligations,and so let's let's use let's use an,example here uh we're going to look at a,couple firms and bear in mind that that,a higher current ratio is going to imply,higher liquidity,okay so let's put some numbers to this,we've got we got a couple firms here,and let's say that uh in terms of,current assets firm one has 270 dollars,and then firm 2 has 320,and then in terms of current liabilities,firm 1 has 225 dollars in current,liabilities and firm 2 has 400.,now we just want to calculate the,current ratio so let's let's go back and,let's look at this simple formula we,just take the current assets and divide,by current liabilities and then the,higher the number,higher the number is going to imply,higher liquidity so let's let's scroll,back down so we just take for each firm,we just take the current assets divided,by,the current liabilities and so for firm,1 i've already done the calculation and,it's going to be 1.2,is the current ratio let me just put,that over here so you don't get confused,current,ratio we're computing,so 1.2 for firm 1 and then for firm 2,it's going to be 0.8,0.8 right we just take this 320 and,divide it by 400 and that gives us 0.8,so let's think for a moment and say is,this intuitive what we did,because we've got we've got a higher,current ratio for firm 1 so that's,implying that firm 1 has higher,liquidity so let's let's think about is,this intuitive,so firm one,actually has more current assets than,current liabilities so if we were to,subtract if we just forgot about,computing this ratio for a moment and,just set that aside and we're sub to,subtract the liabilities from the assets,for firm one we would have a positive,number in other words there's there are,more current assets than there are,current liabilities and that implies,that the firm is liquid right relative,to firm 2,we look at firm 2,and we have a situation where actually,current liabilities are more,than the current assets so just assuming,right now that the firm had to take,whatever current assets it had and try,and pay off its its current liabilities,firm 2 would be more of a buying,potentially,than firm 1.,now one caveat to that,is that this current asset figure is,including inventory,right so inventory if the firm is having,some kind of financial problems or if,there's a downturn in the economy,there's some kind of problems,then inventory could be a big question,mark right let's say there's a,depression or a recession the firm might,have trouble moving some of its,inventory and so the inventory might not,be that liquid it might it might be,something we say well we maybe we don't,want to include that in current assets,we know that receivables and cash and,marketable securities those are liquid,but inventory in certain times might not,be that liquid in such cases,the current ratio might not be the thing,that we want to be looking at,would actually look at something called,the quick ratio which is what we're,going to talk about in the next video,and it's something that's basically the,same thing as the current ratio except,it excludes inventory
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Continue the next sixth section about ratio meaning tiktok
what is the plastic ratio?
what is the plastic ratio?
thanks for watching and what is the,plastic ratio and why is it so cool,watch this video and find out and by the,way i came up with this before,mathologer i have proof,okay and what it is it's just a,generalization of the golden ratio which,is the positive root of phi squared,equals v plus one,for the plastic ratio you replace the,two by a three so it's just a positive,root of rho cubed,equals rho plus 1.,and in fact they do have similar,properties which i want to talk about,now,because if you start with this equation,and multiply it by rho to the n minus 3,on all sides,then what you get is rho to the n,equals rho to the n minus 2,plus rho to the n minus 3,which should be compared to the,fibonacci sequence that tells you that,fn,equals fn minus 1 plus fn minus 2.,and if you know me well you know that,the fibonacci sequence i love it because,it counts bunnies,so kind of the,number of bunnies now is the number of,bunnies the previous month plus the,number of bunnies produced earlier,it's the same thing here except you have,a shift,by um,one month so i think if like,bunnies they take a time out producing,more that that might happen second of,all for the golden ratio remember you,have this beautiful identity that fee,its square root of one plus a square,root of one plus square root of one,etc which can be easily seen because,it's kind of a fractal thing going on,because if you let phi to be squared of,1 etc this little part is the same thing,as phi,so therefore what you get is phi equals,square root of 1 plus phi,and so phi squared,equals 1 plus v or v plus 1.,and it should come to no surprise that,for the plastic ratio you have the same,thing,except you replace,square roots by cube root so rho is cube,root of one plus cube root,of one plus cube root of 1,etc,because if you let this cube root,to be rho then in fact you get rho cubed,or rho is cube root,of one plus rho,so,rho cubed,equals,one plus one,how cool is that and finally i would,like to mention there is an explicit,formula of the plastic ratio in terms of,trig,and yes i did save the best for last,because here's my favorite property of,the plastic ratio,because it turns out you can write this,explicitly in terms of hyperbolic trig,functions,and how do you do that well think,inverse trig substitution so define an,angle theta implicitly via,rho,equals 2 over square root of 3,cosh of theta,so again this defines,theta in terms of rho implicitly and,then if you plug this into the first,equation what you get is rho cubed,which is eight over three square root of,three,cosh cubed,of theta,minus rho so minus 2 over square root of,3,cosh of theta,minus 1 equals 0. so that equals to 1.,and now we need to use an identity that,i derive in another video,namely it turns out,cos cubed,or more explicitly for cos cubed,is the same thing,as,three cosh,plus,cosh of three theta,and which is quite nice because notice,cosh cubed appears in this expression,eight cosh cube is the same thing as 2,times 4 cosh cubed and therefore the,formula now simplifies to the following,so,2 times 3 so 6 cosh of,of theta plus two times,cosh,of three theta,and again divided by this square root,so three square root of three,minus,2 over square root of 3,cosh of theta,equals 1.,and the cool thing is there is now a,simplification,that allows us to solve for theta so,then what we get is 2,over square root of 3,cosh of theta,plus 2 over 3,square root of 3 cosh of 3 theta,minus,2 over square root of 3,cosh of theta,equals 1.,and notice now the evil cos terms they,cancel out,and in the end what we can do we can now,solve for cosh of 3 theta,so cosh of 3 theta,equals 3 square root of 3 over 2,and now we can solve for theta,so,we want to undo cosh so we'll use arc,cosh and when in life do you use arc,cosh right,only in math really,so arc cosh of 3 square root of 3,over 2,which now tells you that theta,is one third,arc cosh,of three square root of three,over two,but that's not what we want to solve for,we don't wanna solve for theta we want,to solve for rho but remember we do have,this formula for rho,because what we have,was rho,is i think 3 no 2 over square root of 3.,gosh,of theta but now remember,we have our theta,so in the end we now have our explicit,formula,for rho it's two over square root of,three cosh,of one third,arc cosh,of three square root of three over two,and again i can,i can't believe how ridiculous this,formula is but it's really really,beautiful,and again hopefully it makes you excited,about the plastic ratio,all right i hope you like this if you,want to see more math please make sure,to subscribe to my channel thank you,very much
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Debt to Equity Ratio
Debt to Equity Ratio
in this video we're going to talk about,the debt-to-equity ratio which is a,measure of a firm's leverage now the,debt-to-equity ratio is actually pretty,simple uh ratio to calculate we're going,to have in the numerator we're going to,have total,debt and then in the denominator we're,going to have total equity,it's just that simple now you say okay,well where do you get uh debt where do,you get equity well these numbers are,just going to come,from the balance sheet,these are going to be balance sheet,figures and that's actually a criticism,of the debt to equity ratio uh is that,when we look at the equity that that,we're using we're not using,market value,it's not the market value of equity,we're actually looking at the the book,value of equity and so uh when when you,take like a finance course or something,and you start competing like like whack,and you start talking about well how do,we compute leverage what do we talk well,you're not going to be using something,like the debt to equity ratio uh even,though it's a common and popular ratio,you might be using something where,you're going to be actually looking at,at the market value of equity so but,we're not going to get into that we're,just going to talk about the the basic,plain vanilla debt to equity ratio in,this video and we just get these numbers,from the balance sheet,so if we think about well okay let's,look at an example and how we'd compare,two firms that that had uh two different,debt to equity ratios uh let's take a,look at it we'll say abc utility company,and then a company called the flower,store and we'll just put some numbers,out here and go ahead and compute the,debt to equity ratio for each firm and,see how we can interpret it so let's say,that the total debt for the utility,company is 22 000,and then let's say that the equity,for that utility company is five,thousand dollars,now it's really simple to compute,our debt to equity ratio because,remember we just say okay well we just,take debt,and we divide it by equity so i'll just,put a dividing sign there,and then what does that give us well we,have 22 000 divided by 5000 and that's,going to yield a debt to equity ratio of,4.4,now let's take a look at the flower,store and see what their debt to equity,ratio is so let's say they have debt of,twenty four thousand dollars,and then they have uh book equity their,total book equity is sixteen thousand,now again,to compute their debt to equity ratio we,just take the total debt and we divide,it by the total equity so just put a,little division sign there we have 24,000,divided by 16 000 and that's going to,give us 1.5,so how do we interpret this well we can,say that this utility company,just based on this measure of leverage,taking a look at this this debt to,equity ratio we can say that the utility,company is more,leveraged than the flower store
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