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O/T Calling all MATHS geniuses



Codner's Crackpipe

Active member
Feb 25, 2005
184
If there's one thing I know about maths people it's that nothing excites them more than proving their rain man tendencies to a generally disdainful audience. So please, if somebody can help me out by expressing the following equation in terms of P then please do. I'm simply too thick and lazy to do it myself.

Y = ((100/P)^(360/D))-1

As a bonus you might avert a workplace rampage in the process...though this is only really a bonus if you happen to work in my office, which if you're clever enough to work this out is unlikely.

Much obliged.
 






Codner's Crackpipe

Active member
Feb 25, 2005
184
Correct answer (I already had the value for P, just no idea how it was derived).

Thank you very much, take the rest of the day off.
 




Notters

Well-known member
Oct 20, 2003
24,876
Guiseley
Y = ((100/P)^(360/D))-1
Y+1 = 100/p * 360/D
(360 (Y+1))/D = 100/P
P = 100D/(360 (Y+1))

It's a while since I've done any maths though!
 




ForestRowSeagull

Well-known member
Jan 6, 2011
966
Now Brixton
Y = ((100/P)^(360/D))-1
Y+1 = 100/p * 360/D
(360 (Y+1))/D = 100/P
P = 100D/(360 (Y+1))

It's a while since I've done any maths though!

How did you get from line 1 to 2 ? Unless I'm getting the wrong end of the stick as I thought ^ meant 'to the power of' and you seem to have got rid of that I place of the *
 




















Jul 24, 2003
2,289
Newbury, Berkshire.
No, surely it's the ( 360/D ) th root of both sides of the equation that's required, or raising both sides of the equation to 1 / ( 360/D ) which is the same as ( D/360 ).

Then you invert both sides and it becomes the reciprocal power which is - ( D/360 ).

yxee is right and Notters has just got a grade F ........
 




Seagull27

Well-known member
Feb 7, 2011
3,329
Bristol
I think it goes something like this:

Y = ((100/P)^(360/D))-1

Y+1 = ((100/P)^(360/D))

log(Y+1) = log((100/P)^(360/D))

log(Y+1) = (360/D)*log(100/P)

(D/360)log(Y+1) = log(100/P)

(D/360)log(Y+1) = log100 - logP

logP = log100 - (D/360)log(Y+1)

logP = log100 + (-D/360)log(Y+1)

logP = log100 + log(Y+1)^(-D/360)

logP = log(100*(Y+1)^(-D/360))

P = 100*(Y+1)^(-D/360)

Giving the result in the first post.

I have too much time on my hands...
 


Badger

NOT the Honey Badger
NSC Patron
May 8, 2007
12,883
Toronto
I'm a bit rusty but I'll have a go:

Y+1 = (100/P) ^ (360/D)
(Y+1)^D = (100/P)^360
(Y+1)^(D/360) = 100/P
P*((Y+1)^(D/360)) = 100
P = 100/((Y+1)^(D/360))


....or what Seagull27 said
 


Jul 24, 2003
2,289
Newbury, Berkshire.

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Manx Shearwater

New member
Jun 28, 2011
1,206
Brighton
Perhaps we need a picture of Rachel Riley at this point?

It might help.
 






ForestRowSeagull

Well-known member
Jan 6, 2011
966
Now Brixton
I get stuck or go majorly wrong around the point where is stop:
Y=(100/P)^(360/D) -1
Y+1=(100/P)^(360/D)
log Y+1= log(100/P)^(360/D)
log Y+1= (360/D)*log(100/p)
STUCK
 


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