SOLUTION: A woman invests $33,000, part at 8% and the rest at 9 1/2% annual interest. If the 9 1/2% investment provides $422.50 more income than the 8% investment, how much is invested at ea

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: A woman invests $33,000, part at 8% and the rest at 9 1/2% annual interest. If the 9 1/2% investment provides $422.50 more income than the 8% investment, how much is invested at ea      Log On


   

Question 1174115: A woman invests $33,000, part at 8% and the rest at 9 1/2% annual interest. If the 9 1/2% investment provides $422.50 more income than the 8% investment, how much is invested at each rate?
at 8% interest $
at 9 1/2% interest $

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x at 8% or 0.08x earnings
33000-x at 9.5% or 3135-0.095x earnings
so 0.08x+ 422.50=3135-0.095x
0.175x=$2712.50
x=$15500 at 8% or $1240
33000-x=$17500 at 9.5% or $1662.50