Answer :
Answer: she invested $6000 in the fund paying 11% interest and $6000 in the stock that suffered a 5% loss.
Step-by-step explanation:
Let x represent the amount which he invested in the fund paying 11% interest.
Let y represent the amount which he invested in the stock that suffered a 5% loss.
Susan Marciano invested part of her $12,000 bonus in a fund that paid an 11% profit and invested the rest in stock that suffered a 5% loss. This means that
x + y = 12000
The formula for determining simple interest is expressed as
I = PRT/100
Considering the fund paying 11% interest,
P = $x
T = 1 year
R = 11℅
I = (x × 11 × 1)/100 = 0.11x
Considering the account that suffered a 5% loss,
P = $y
T = 1 year
R = 5℅
I = (y × 6 × 1)/100 = 0.05y
if her overall net profit was $360, it means that
0.11x - 0.05y = 360 - - - - - - - - - -1
Substituting x = 12000 - y into equation 1, it becomes
0.11(12000 - y) - 0.05y = 360
1320 - 0.11y - 0.05y = 360
- 0.11y - 0.05y = 360 - 1320
- 0.16y = - 960
y = - 960/ - 0.16
y = 6000
x = 12000 - 6000
x = 6000