isolating x in division and addition equation

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chatouillecat

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Oct 27, 2010
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I'm dumbfounded on how to isolate the "i"

90000 = 280.14 [1 - (1+ i)-[sup:1tgvqbvz]1300[/sup:1tgvqbvz]
i

(the second letter "i" goes under the underlined equation)
Thanks a million.
I'm first time user, sorry if not properly done.
 
isolating x in division and addition equation

You must mean "isolating i".

The equation is not exclusively a "division and addition".

I mean, the magnitude of that exponent blows a horn at me. That's 1,300 factors of (1+i) multiplied together.

You'd better get started! :wink:
Click to expand...

90000 = 280.14[1 - (1+ i)[sup:ummqaacu]-1300[/sup:ummqaacu]]/i

?
I'm thinking that the solution method cannot be algebraic, for this type of equation.

In other words, a decimal approximation for i will have to be good enough. So, I recommend a numerical approach.

Technology assists, by doing the grunt work (i.e., zooming in on the intersection point, to the desired precision).

You may graph each side of the equation, as given.

You may rearrange the equation, as I did below.

Cheers ~ Mark

PS: If you're familiar with the shapes of linear and exponential graphs, then you'll realize that this graph shows the only possible solution.



(Double-click image to expand, if needed.)
 
Thanks to those who responded. I'm in financial accounting but algebra is a must! And exponent 1300's etc are common (with a calculator of course). But it was the principle of isolating i.
I was really stuck...I know the principle of eliminating division with multiplication, but combination of equations was throwing me off.
Thanks so much once again.
Chatouillecat
 
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