Book of Numbers - Quiz The bible verses are taken from the American Standard Bible.

Going with my habit ofoverly simplified economy, let's then imagine an economythat has only two actors in it. So it has Mr. Farmerright over here. Do my best to drawthe farmer, maybe he has a mustache of some kind. So it has Mr. Farmerright over here.

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He's got a hat on. So that is the farmerin this economy. And then let's say wealso have a builder. So this economy, they'reproducing two things.

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They're producingfood, and this builder can help maintain stuff. So maybe he hasa lot more, maybe this is the builderright over here. So this is Mr. And let's say, for the sake ofwhat we're going to do here, let's say that for this economy,it's kind of a constant. If either of these fellowsgets an extra dollar to spend, he's going to spend 60% of it.

And so, what I'm going to dois introduce a formal word that really is justanother way of saying that. In this economy, the marginalpropensity to consume is- and I'll put thatin parentheses, it's often referred to asMPC- that is equal to you could either say 60%or is equal to 0.6.

And all this is saying is thatif someone in this economy somehow finds anotherdollar in their pocket, they're going tospend 0.6 of that. Or they're going tospend 60% of that. So if you give the builder-if a builder all of the sudden gets an extra dollar, he's goingto spend another $0.60 on other things. And the person to reallyspend it with is the farmer. If the farmer getsanother dollar, he's going to spend 60% of that,or $0.60, with the builder. Now given thisassumption, let's think about what wouldhappen in this economy if all of a suddenone of them decided to increase theirspending a little bit. So we'll assume that theywere all living happily.

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The economy was kindof at a steady state. And let's say thefarmer discovers a sock in a drawer that hedidn't realize was there. And it's got a little bit oftheir agreed upon currency. Maybe the agreed upon currencyin this island is a dollar. They've maybe got a stash whentheir shipwrecked on this, or whatever.

So the agreed upon currencyis actually the dollar. And the farmerdiscovers that he's got- he discovers a bigpile of dollars in his sock. And he says, well, I'mgoing to spend $1,000. I need to do somerepairs to my buildings. So we have this kind of increasein spending that's going on.

So the farmer says, hey,I'm going to spend $1,000, and I'm going to giveit to the builder. Now the buildersays, well, you know, gee, I've just gotten $1,000. I have a marginal propensityto consume of 60%, or 0.6. I'm going to spend 60% of that.

So he's going to spend,and the only person he can spend itwith is the farmer. He's going to spend 60% times$1,000, which is equal to $600. Well, now thefarmer says, well, I got above and beyond the$1,000 that I just spent. Somehow the economyseems to be picking up. The builder justspent $600 more on me then he would haveotherwise done. He bought that much more food.

I have $600 more. I have a marginal propensityto consume of 0.6 or 60%. So I will spend 60% ofthat $600 that I just got. And so it will be60% of this thing. So it will be 60- I'llwrite it as a decimal- it'll be 0.6 times this thing,which is 0.6 times 1,000. Or you could say it is60% of the $600, which is going to be equal to $360.

Well, now thebuilder says, well, I got that initial $1,000. I spent $600 of that. But now I've gotanother $360, and I have a marginal propensityto consume of 0.6. So I'm going tospend 60% of that. So above and beyondthis spending, he also spends 60% ofthis right over here. And 60% of this is 0.6times this whole thing.

So he's going to spend0.6 times this thing- and I'll write it in green-times 0.6 times $1,000. Now this numberright over here, I don't know what thisis, is it 60% of $360. I don't know, I couldget a calculator to figure out whatthat is exactly. So let's say that I have0.6- we could actually say 0.6 to the third power. Or let's just writethat- 0.6 to the third.

And then I'm going tomultiply that times 1,000, gives us $216. So this guy- so this rightover here gives us $216. This guy says, heygot another $216, I'm going to spend 60% of that.

And I think you seewhere this is going. And 60% of that is going to be0.6 times this whole quantity. So it's going to be-I'll write it here- it's going to be 0.6times this thing, which was already 0.6times 0.6 times 0.6. So you're going to have 0.6times 0.6 to the third power.

That's going to be 0.6 to thefourth power times 1,000, which is whatever 60% of 216 is. And I'll just calculated it. So times 0.6 gives us $130,is going to get $129.60. Now this guy, the builder,say, I got another $129.60.

I'm going to spend 60% of that. And it goes on and on and on. So given this, let's thinkabout how much from that incremental increase of spendingof $1,000, how much total new production and spendinghappened in this economy?

So the way to think aboutthat, so the total- and we could view it either way. Remember, you couldview kind of the GDP. You could view that asthe aggregate output.

You could view that asthe aggregate income, aggregate expenditure. These are all viewsbecause really the economy is a very circular thing. One person's expenditure turnsinto another person's income.

But we could saytotal output here, measured in our agreed uponcurrency, which is let's say dollars. This is now going to be,it was this original $1,000 that the farmer spentfor the builder. So it's going to bethat original $1,000 plus this first, rightover here this 0.6 times 1,000 that the builderspent, that $600. So that's 0.6 times1,000 plus- then we had this timethe farmer said, I'm going to spend 60% of that. So that was 0.6squared times 1,000.

Plus 0.6 squared times 1,000. And then this guy said, oh,I'm going to spend 60% of that now that I got that 0.6squared times 1,000.

So he's going to take60% of that and spend it. And that gave us that 0.6 tothe third power times 1,000. Plus 0.6 to the thirdpower times 1,000. And then the last one wedid, it would keep going on and on forever,theoretically, is you're going to have plus 0.6to the fourth power times 1,000. And this would keepgoing on and on forever.

We could then would be plus 0.6to the fifth power times 1,000, plus 0.6 to the sixth power. Keep going on and on forever. And one of the fascinatingthings about mathematics, and maybe the nextvideo, I'll reprove this. I've proven this inmultiple playlists, is that you can actuallysum up because this value right over here is lessthan 1, this actually ends up being a finite sum. You can actually takethis infinite sum and get a finite number.

So just to simplify this,the total output that's kind of sparked bythat original $1,000, we can factor out the 1,000-I'll do this in a new color- so we can factor out the 1,000. And we are left with-well if we factor of 1,000 there you get 1 plus0.6 plus 0.6 squared plus 0.6 to the third powerplus 0.6 to the fourth power. And it goes on and on and on.

And in the next video, maybeI'll prove it, just for fun. But this right over here,it's an infinite sum of a geometric series. And this will actuallysimplify to- I'll do it in the same greencolor- as 1 over 1 minus 0.6. So whatever this number is rightover here, it'll be 1 minus 1 over that. And so in this case, thiswould be equal to 1 over 0.4. And 0.4 is 2/5.

So this is equal to 1 over2/5, which is equal to 5/2. So your total output is goingto be equal to 1,000 times 5/2.

Or this is the same thing asequal to 1,000 times 2 and 1/2, which is equal to 2,500. So there's two interestingideas that are going here. One is, when people geta little bit more income, they're going tospend some of it.

And that's where the marginalpropensity to consume is. We're assuming it's linear,that no matter how much you give them, they're just goingto spend 60% of that. And then given that, that 60%,it keeps getting multiplied and going through the economy. You essentially havethis multiplier effect, that that 1,000 got spent,some fraction of that gets spent, then some fractionof that gets spent. And so what we ended updoing is that first $1,000 got multiplied by 2.5. And this 2.5 wascompletely a function of what the marginalpropensity to consume was. So we have thisrelationship here is that whatever the marginalpropensity to consume is, that drives the multiplier.

And all the multiplieris saying is if you spend an extra dollarin this economy, given people's marginal propensity toconsume, how much will that increase total output? (function // Preload the youtube API to speed life up. But we have// to be careful: load this API before the iframe is// rendered and it won't trigger onYouTubeIframeAPIReady.// So we only preload when the iframe is already on the// page (which in practice will be when it is server-side// rendered).// TODO(csilvers): is this safe when react might// re-render the DOM element? Or make it disappear,// which we do while we're loading last-second-watched// data?var iframes = document.getElementsByName('ka-player-iframe');if (iframes.length 0) var head = document.getElementsByTagName('head')0;var js = document.createElement('script');js.type = 'text/javascript';js.src = 'https://www.youtub.

Unit Multipliers Quiz

Hinduism, one of the oldest religion on the earth, is an outcome of a continuous process of interaction of time-tested rituals, varied philosophical schools, in-, depth researched scriptures and renowned mythologies. It is more a way of life harmonising the micro & macro cosom, Purush & Prakriti, Brahma & Jiva. This book, in quiz form, gives a bird's eye view of all the basic fundamentals of Hindu religion i.e. Philosophy, sculpture, temple architecture, plastic art forms and rituals.

The chapter on Homas Yajnas & Fire rituals is a classic example of Vedic ritualistic heritage. It will definitely create an interest for a detailed exposition on various facets of the religion for scholars as well as any modern day Hindu. A mini Encyclopaedia of Hinduism. A civil servant by profession, working as Deputy Director in Ministry of Defence, Pankaj Dixit has a throughout first class academic career. He is an ardent and motivated scholar with specialized interests in Vedic rituals and Temple architecture.

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He has been honoured by Albert Museum, London for a study on South Indian Temple Architecture. An alumnus of Lai Bahadur Shastri Sanskrit Vidyapeeth, New Delhi, he has learnt Vedas traditionally in Guru-shishya parampara. His articles on Hinduism, Vedas and Temple Architecture keep apprearing in National dailies. He has several books on Hinduism related topics to his credit.