Question

susan mariciano invested part of her 23,000 bonus a fund that paid a 12% profit and invested the rest in stock that suffered a 3% loss. find the amount of each investment if her overall net profit was $1,410.

Answer 1

Susan invested $14,000 in a fund with a 12% profit and $9,000 in a stock with a 3% loss to achieve her overall net profit of $1,410.

Step-by-step explanation:

Susan Marciano invested part of her $23,000 bonus; some went into a fund with a 12% profit and the rest into a stock that led to a 3% loss. The key question is to determine the amount of each investment given that her overall net profit was $1,410.

Let's set up two variables: x for the amount invested at 12% and y for the amount invested at a 3% loss. We have two equations based on the given information:

Now, we can use the substitution or elimination method to solve for x and y.

Using elimination, we multiply the first equation by 0.03 to align the y variable with the second equation:

Adding the two equations, we get:

0.15x = $2,100
x = $2,100 / 0.15
x = $14,000

Substitute x = $14,000 into the first equation:

$14,000 + y = $23,000
y = $23,000 - $14,000
y = $9,000

Susan invested $14,000 at 12% for a profit and $9,000 into stock at a 3% loss.