SOLUTION: You invested $10,000 in two stocks paying 9% and 12% annual interest, respectively. At the end of the year, the total interest from these investments was $930. How much was in

Algebra.Com
Question 79731: You invested $10,000 in two stocks paying 9% and 12% annual interest,
respectively. At the end of the year, the total interest from these investments
was $930. How much was invested at each rate?

Found 2 solutions by checkley75, DarkOnyx:
Answer by checkley75(3666)   (Show Source): You can put this solution on YOUR website!
.12x+.09(10000-x)=930
.12x+900-.09x=930
.03x=30
x=30/.03
x=1000 invested @ 12%
10000-1000=9000 invested @ 9%
proof
.12*1000+.09*9000=930
120+810=930
930=930

Answer by DarkOnyx(1)   (Show Source): You can put this solution on YOUR website!
Let x= the amount invested at 9%
Let 10000-x = the amount invested at 12%
0.09x+ 0.12(10000-x)=930
0.09x+1200-0.12x=930
-0.03x=--270
x=9000
9000 is the amount invested at 9%
Check:
0.09(9000)+0.12(10000-9000)=930
810+120=930
930=930

RELATED QUESTIONS

You invested 10,000 in two stocks paying 8% and 10% annual interest. At the end of the... (answered by addingup)
you inherit $70,000 and plan to invest the money in two stocks paying 4% and 10% annual... (answered by mananth)
You inherit $18,750 with the stipulation that for the first year the money must be... (answered by ankor@dixie-net.com)
You invested $10,000 in two accounts, one paying 8% and the other account paying 10%... (answered by Boreal,stanbon)
You invest $6000 in two accounts paying 6% and 9% annual interest, respectively. At the... (answered by mathslover)
you invest $6,000 in two accounts paying 6% and 9% annual interest, respectively. At the (answered by Fombitz)
A teenager has $10,000 invested in a checking account paying 2.5% per year and a savings (answered by math_helper)
Theodore invests a total of $39,000 in two accounts paying 12% and 7% annual interest,... (answered by ankor@dixie-net.com)
You invested 14,000 in two accounts paying 6% and 9% annual interest, respectively. If... (answered by rfer)