Mathe Problem

Lord_Overflowed

Unregistered

Monday, June 7th 2004, 3:53pm

1

Bitte löst mir das mal nach n auf:

0=100000*1,07ⁿ-10000*(1,07ⁿ-1/0,07)

KingofBohmte

Senior Member

Re: Mathe Problem

Monday, June 7th 2004, 3:57pm

2

In meinem Taschenrechner liefert nen Fehler.

Mein eBay

DustBuster

Full Member

Re: Mathe Problem

Monday, June 7th 2004, 4:10pm

3

log(1/(9*0,07))
n= ---------------
log(1,07)

n=6,8289

derJoe

Senior Member

Re: Mathe Problem

Monday, June 7th 2004, 4:10pm

4

0=100000*1,07ⁿ-10000*(1,07ⁿ-1/0,07)
0=100000*1,07ⁿ-10000*1,07ⁿ-10000/0,07
10000/0,07=100000*1,07ⁿ-10000*1,07ⁿ
10000/0,07=(100000-10000)*1,07ⁿ
10000/0,07=90000*1,07ⁿ
10000/(0,07*90000)=1,07ⁿ
log_1,07(10000/(0,07*90000))=n

Ich hoffe, mich nicht verrechnet zu haben.

Gruß,

derJoe

Lord_Overflowed

Unregistered

Re: Mathe Problem

Monday, June 7th 2004, 4:19pm

5

0=100000*1,07ⁿ-10000*1,07ⁿ-1
--------------
0,07

0=7000*1,07ⁿ-10000*(1,07ⁿ-1)

0=7000*1,07ⁿ-10000*1,07ⁿ+10000

-10000=7000*1,07ⁿ-10000*1,07ⁿ

-10000=1,07ⁿ*(7000-10000)

-10000=1,07ⁿ*(-3000)

3,33=1,07ⁿ

3,33 log
-------- = n
1,07 log

n=17,8

DustBuster

Full Member

Re: Mathe Problem

Monday, June 7th 2004, 4:27pm

6

Dann hat du eben hier:

Quoted from "Lord_Overflowed"

0=100000*1,07ⁿ-10000*(1,07ⁿ-1/0,07)

ne Klammer vergessen:

((1,07ⁿ-1)/0,07)

KingofBohmte

Senior Member

Re: Mathe Problem

Monday, June 7th 2004, 4:28pm

7

17,794810145

Mein eBay

Eumel

God

Re: Mathe Problem

Monday, June 7th 2004, 8:34pm

8

Quoted from "DustBuster"

log(1/(9*0,07))
n= ---------------
log(1,07)

n=6,8289

Genau DAS kommt raus!

100%ig ... Mathematica lügt nicht.

MfG

Edit: Najaaa, wenn er sich um die Klammer verschrieben hatte, kommt natürlich 17.7948 raus.

MfG

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