Member of the Month

hi_vis360
November, 2024

Online

Welcome to the Newschoolers forums! You may read the forums as a guest, however you must be a registered member to post. Register to become a member today!

Calculus Help PLZ!!

profile picture
Gnarshred
Posts: 5670 - Karma: 18
++k If you can explain to me how to do this. Calculus only, it might be doable with some stats stuff, but thats useless.

I might just be dumb, but I can't figure it out, Im doing some weird online class and some of it is different than what I am used to.
anyway:

The government injects $1 billion into the economy. Each recipient spends 90 % of the dollars received. In turn, the secondary recipients spend 90 % of the dollars they receive, etc.
Use the expansion of 1/(1 - x) in powers of x to help come up with a clean measurement of the total spending that results from the $1 billion injection.


Thanks!
Jul 26 2010 12:41PM
0 0
profile picture
Gnarshred
Posts: 5670 - Karma: 18
Oh yeah, and I have a test today, and my mentor said its a common test Q, so yeah plz and thank you!

Jul 26 2010 12:44PM
0 0
profile picture
.AR6rider.
Posts: 15976 - Karma: 8,799
http://www.wolframalpha.com/examples/Math.html

Maybe this will help.

Jul 26 2010 12:55PM
0 0
profile picture
navierSTOKED
Posts: 858 - Karma: 33
probably too late, but PM on it's way!
Jul 27 2010 5:38AM
0 0
profile picture
ESAND
Posts: 1607 - Karma: 744
90% of 3 dollars? what do I do with the other 30 cents? Shove it up my ass? Thanks for the Whopper Jr. Uncle Sam

Unless of course you're talking long scale in which case I'd go heli skiing.


Oh and yeah, can't help you with the math.
Jul 27 2010 5:50AM
0 0
profile picture
feihlination
Posts: 8356 - Karma: 1,084
idk, prolly to late, but i wanna brag how intelligent i am. seems friggin easy to me (although i admit i calculated in in excel to see how it works beforehand)

1/(1-x)
x=0.9 in this case

so you get a factor, in this case 10, this is a measurement (i know only the german expression) how often every dollar gets spend. so in this case 1 billion times 10 is the total spending.

kthxbai
Jul 27 2010 6:01AM
0 0
profile picture
Gnarshred
Posts: 5670 - Karma: 18
Thanks for the help guys, ^you were right. turns out I was just misinterperating the question because it wants the resultant spending which does not include the initial government spending.

so basically it is 1+ (.9)+(.9)(.9)+(.9)(.9)(.9)+...+(.9)^n = 1/(1-.9) like you said.

1/(1-.9)=10 Billion. But it only wants the resultant spending so

10 Billion - initial 1 Billion = 9 Billion.

Not a very well worded question IMO, and guess what, it wasn't even on the test.... Oh well...
Jul 27 2010 11:49AM
0 0
All times are Eastern (-5)