SOLUTION: you invested $25,000 in two accounts paying 7% and 9% annual interest,respectively. If the total interest earned for the year was $1770 how much was invested at each rate?

Question 907524: you invested $25,000 in two accounts paying 7% and 9% annual interest,respectively. If the total interest earned for the year was $1770 how much was invested at each rate?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
Total amount of money invested: $25000
x+y=25000,
Total yearly interest for the two accounts is: $1770
0.07*x+0.09*y=1770
x=25000-y
Substitute for x
0.07*(25000-y)+0.09*y=1770
Multiply out
1750-0.07y+0.09*y=1770
Combine like terms.
0.02*y=20
Isolate y
y=$ 1000.00 at 9%
x=25000-y
Calculate x
x=$24000.00 at 7%
Check
0.07*24000+0.09*1000=1770
1680+90=1770
1770=1770
If this statement is TRUE and neither x nor y is negative then all is well

RELATED QUESTIONS
You invested $24 comma 00024,000 in two accounts paying 5 %5% and 7 %7% annual... (answered by ikleyn,greenestamps)

You invested $18,000 in two accounts paying 5% and 7% annual interest, respectively. If... (answered by stanbon)

You invested 14,000 in two accounts paying 6% and 9% annual interest, respectively. If... (answered by rfer)

you invested $29,000 in two accounts paying 8% and 9% annual interest respectively. if... (answered by Maths68)

you invested $24000 in two accounts paying 5% and 9% annual interest, respectively. if... (answered by mananth)

You invested $29,000 in two accounts paying 6% and 9% annual interest,... (answered by josgarithmetic,MathTherapy)

You invested $17,000 in two accounts paying 4% and 9% annual interest, respectively. If... (answered by ikleyn)

you invested 5000 in two accounts paying 4% and 7% annual interest, respectively. if the... (answered by checkley77)