Maths question

[Jubjab]

Hi,

My math is rotten , and I have formula I need to work out. It goes like this:

X = X*16,7% + (x - x/1,22) + 15000

Can I work out the value of X here? I need the formula to use in my spreadsheet.

Thanks!

 

[Joe4]

Here is a hint. Get all the X values on one side of the equation, and your constant on the other side. Then you can factor out the X, and things should fall into place.

 

[Jubjab]

Here is a hint. Get all the X values on one side of the equation, and your constant on the other side. Then you can factor out the X, and things should fall into place.

Well... I know what I am supposed to do, but I have forgotten how exactly to do that!

 

[Zack Barresse]

Course you could just start with solving for 0 and minus x from the left.

Seriously, is this homework?

 

[NumbersMax]

Is X a different variable than x? The commas are like decimals in the US, right?

Assuming the X and x are the same value, it looks like you're trying to incrementally increase X by the statement on the right as if it was in a loop:

if X had equaled 1 before, it would now equal 15000.35
next,
if X equaled 15000.35, it would now equal 20210.04
next,
if x equaled 20210.04, it would now equal 22019.51 etc...

Does that even make any sense??
Max

 

[Macropod]

Hi Jubjab,

You've got upper-case & lower-case x values - are they meant to be the same? It makes a fundamental difference to the solution.

Cheers

 

[Halfgod]

Assuming X and x are the same values there really is no formula because the equation has to equal.

You get X=22982.4429206541

If X and x are different I suggest using a different variable, maybe Y
so

X = X*16.7% + Y - Y/1.22 + 15000
EQUALS

.833X=.22Y/1.22 + 15000
EQUALS
X=(.22Y/1.22+15000)/.833

 

[Macropod]

Or, more fully:

X = X*16,7% + (x - x/1,22) + 15000
X = X*16,7% + x*(1 - 1/1,22) + 15000
X - X*16,7% = x*(1 - 1/1,22) + 15000
X*(1 - 16,7%) = x*(1 - 1/1,22) + 15000
X*83,3% = x*(1 - 1/1,22) + 15000
X = x*(1 - 1/1,22)/83,3% + 15000/83,3%
X = x*(1 - 0,81967213114754098360655737704918)/83,3% + 15000/83,3%
X = x*0,18032786885245901639344262295082/83,3% + 15000/83,3%
X = x*0,21648003463680554188888670222187 + 18007,202881152460984393757503001

If we can assume X = x, then:

X - X*0,21648003463680554188888670222187 = 18007,202881152460984393757503001
X*(1-0,21648003463680554188888670222187) = 18007,202881152460984393757503001
X*0,783519965363194458111113297779 = 18007,202881152460984393757503001
X = 18007,202881152460984393757503001/0,783519965363194458111113297779
X = 22982,4429206540577198402531836

Cheers