Respuesta :
Answer: he invested $8600 in bonds.
Step-by-step explanation:
Let x represent the part of his money that he invested in stocks.
Let y represent the part of his money that he invested in bonds.
Ben invested part of his $15,000 savings in stocks paying 4.25% simple interest annually. He invested the rest in bonds paying 3.75% simple interest annually. It means that
x + y = 15000
The interest that he would earn on the amount invested in stocks after 1 year is
4.25/100 × x = 0.0425x
The interest that he would earn on the amount invested in bonds after 1 year is
3.75/100 × y = 0.0375y
If Ben earned $594.50 in interest after one year, it means that
0.0425x + 0.0375y = 594.5- - - - - - 1
Substituting x = 15000 - y into equation 1, it becomes
0.0425(15000 - y) + 0.0375y = 594.5
637.5 - 0.0425y + 0.0375y = 594.5
- 0.0425y + 0.0375y = 594.5 - 637.5
- 0.005y = - 43
y = - 43/- 0.005
y = $8600
x = 15000 - 8600
x = $6400
