susan marciano invested part of her $29,000 bonus in a fund that paid an 11% profit and invested the rest in…

susan marciano invested part of her $29,000 bonus in a fund that paid an 11% profit and invested the rest in stock that suffered a 4% loss. find the amount of each investment if her overall net profit was $1,990.\nthe amount invested at 11% is $.\nthe amount invested in stock is $

susan marciano invested part of her $29,000 bonus in a fund that paid an 11% profit and invested the rest in stock that suffered a 4% loss. find the amount of each investment if her overall net profit was $1,990.\nthe amount invested at 11% is $.\nthe amount invested in stock is $

Answer

Explanation:

Step1: Let the amount invested at 11% be $x$.

Then the amount invested in stock (at - 4% loss) is $(29000 - x)$.

Step2: Calculate the profit from each investment.

The profit from the 11% - investment is $0.11x$. The loss from the 4% - investment is $0.04(29000 - x)$. The net - profit equation is $0.11x-0.04(29000 - x)=1990$.

Step3: Expand and simplify the equation.

Expand $0.11x-0.04(29000 - x)=1990$ to get $0.11x-1160 + 0.04x=1990$. Combine like terms: $0.11x+0.04x=1990 + 1160$. So, $0.15x=3150$.

Step4: Solve for $x$.

Divide both sides of the equation $0.15x=3150$ by 0.15: $x=\frac{3150}{0.15}=21000$.

Step5: Find the amount invested in stock.

The amount invested in stock is $29000 - x=29000 - 21000 = 8000$.

Answer:

The amount invested at 11% is $21000. The amount invested in stock is $8000.