Posted by **zana** on Thursday, October 13, 2011 at 7:13pm.

$100,000 is divided into two investments with annual returns of 4% and 7.5%. find the amount invested at the lower rate if the total income at the end of the year is $5050?

- pre-calculus -
**Reiny**, Thursday, October 13, 2011 at 7:18pm
amount invested at 4% --- x

amount invested at 7.5% -- 100000-x

solve for x:

.04x + .075(100000-x) = 5050

- pre-calculus -
**betty**, Thursday, October 13, 2011 at 10:16pm
solve for x and express the solution in a+bi form : ix^2-3x+4i=0

- pre-calculus -
**Steve**, Friday, October 14, 2011 at 11:03am
You sure this is right?

ix^2 - 3x - 4i = (ix+1)(x-4i)

but that's not what we have.

So, using the good old quadratic formula,

x = (3 ± √5)]/2i

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