Mathematics Problem

Given everyone here seems to know more about maths then I do, I've got a problem.

Say I have $100. I add 5%. I now have $105. I add 5% to that and I have $110.25. If I continue that 100 times, I end up with $12,523.93 which is the number I want. The question is, how can I do that in one formula? Obviously if I go ($100 + 5%) * 100 or 100 + (5% * 100) I don't get the answer I want. So far, the only way I can think of doing it is to actually perform the calculation 100 times.

Is there any way I can do it all in one simple calculation though, rather than looping through the same $amount + 5% however many times necessary?

 

(100 + 10.25%) * 100

Maybe, math isn't my strength.

 

Well there you go, I'm glad mathboy's going to be around.

Now if you'd be so kind DU please ninja edit Frigo's pictures away from his post.

 

Did you like mathematics before you were called mathboy, or does the inate love of numbers come with the name?

 

Oh wow, that lets me figure it out backwards too. Most excellent. That was going to be my next question.

Oh and one more post and mathboy is 1337.

 

And then he'll stop posting again and just edit his replies into everyone elses posts.

 

You could also do:

e^((ln($100) * ln(1.05))^100))

Of course that would be a lot more work than necessary, but logarithms are so much fun.

 

Nerd.

 

no it's an easier way of saying what I said, which was a more complicated way of saying 100*1.05^100, which again is writing "one hundred times one point zero five to the power of one hundred" with mathematical symbols and numbers.


Isn't math fun?

 

Wrong Mathman!

There is no 'S' you fool.

 

Well excuse me, I mean I take physics chemistry and mathematics, there is no room for English on my schedule.

 

Isn't English fun?