calculus
posted by Courtney .
11,406.14=(438.3/r)(1+r)^10 how do you solve for r?

These are very "nasty" equations, since there is no simplelevel method of solving these.
I reduced it to
(1+r)^10 = 26.02359r
If you know Calculus, you can use Newton's Method,
otherwise, try something like this
It looks like your equation could have come from the amount of an annuity formula, so the r is probably an interest rate
make a chart with 3 columns
r  Left SideRigth Side
.05 1.62889 1.3  off quite a bit
.06 1.79084 1.5614  let's go higher
.09 2.36736 2.345  hey, not bad
.095 2.4782 2.47224  closer !!
.096 2.50095 2.49826
.097 2.523866 2.524288 notice the Right side is now > the left side
so our r must be between .096 and .097
try .0965
Do you get the idea?
With a good calculator and some calculator skills this is not so bad
BTW, I put 26.02359 into memory of calculator