SOLUTION: You plan to invest $19,000 in two funds paying 3% and 4.5 simple interest. (There is more risk in the 4.5 fund) Your goal is to obtain a total annual interest income of $700 from

Algebra.Com
Question 900891: You plan to invest $19,000 in two funds paying 3% and 4.5
simple interest. (There is more risk in the 4.5 fund) Your goal is to obtain a total annual interest income of $700 from the investments. What is the smallest amount you can invest in the 4.5fund and still meet your objective?

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
x+y=19000,
0.03*x+0.045*y=700
x=19000-y
0.03*(19000-y)+0.045*y=700
570-0.03y+0.045*y=700
0.015*y=130
y=8666.67 at 4.5%
x=19000-y
x=10333.33 at 3%
check
0.03*10333.33+0.045*8666.67=700
310.0+390.0=700
700.0=700
ok

RELATED QUESTIONS

You plan to invest $25,000 in two funds paying 3% and 4 1/2% simple interest.(There is... (answered by stanbon)
Investment You plan to invest $25,000 in two funds paying 3% and 4 1/2% simple interest. (answered by stanbon,josmiceli)
you plan to invest $40,000 in two funds paying 4.5% and 6% simple interest. your goal is... (answered by rfer)
You invest $40,000 in two funds paying 3% and 4 1/2% simple interest. The total annual... (answered by stanbon)
you plan to invest $12000 in two funds paying 4.25% and 5.5% simple interest. Yor goal is (answered by checkley71)
a total of 15000 is invested in two funds paying 4%and 5% simple interest. the annual... (answered by mananth)
John received an inheritance of $12,000$12,000 that he divided into three parts and... (answered by Boreal)
You invest $12,000 in two funds paying 5.5% and 7.5% simple interest. The total annual... (answered by checkley71)
suppose you invest $15,000 in two funds paying 11 1/2% and 14% simple interest. the... (answered by mananth)