SOLUTION: Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did she invest

Algebra ->  Human-and-algebraic-language -> SOLUTION: Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did she invest       Log On


   

Question 212129This question is from textbook Elementary and Intermediate Algebra
: Donna invested her $33,000 bonus
and received a total of $970 in interest after one year. If
part of the money returned 4% and the remainder 2.25%,
then how much did she invest at each rate? This question is from textbook Elementary and Intermediate Algebra

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
.04X+.0225(33,000-X)=970
.04X+742.5-.0225X=970
.0175X=970-742.50
.0175X=227.5
X=227.5/.0175
X=$13,000 ANOUNT INVESTED @ 4%.
33,000-13,000=20,000 INVESTED @ 2.25%.
PROOF:
.04*13,000+.0225*20,000=970
520+450=970
970=970