Susan Marciano invested part of her $ 12 comma 000 bonus in a fund that paid an 11 % profit and invested the rest in stock that suffered a 3 % loss. Find the amount of each investment if her overall net profit was $ 760

$8000

Step-by-step explanation:

We have to x the amount invested in funds they earned, that is 11%.

Therefore, the amount invested in stocks that suffered a 3% loss is 12000 - x.

The return on investment in funds is: 0.11 * x

The loss on the stock investment is: 0.03 * (12000 - x).

The net profit is:

 0.11 * x - 0.03 * (12000 - x).

Since the net profit given in the problem is $ 760, we have:

0.11 * x - 0.03 * (12000 - x) = 760

We solve for x, we have:

0.11 * x - 0.03 * (12000 - x) = 760

0.11 * x - 360 + 0.3 * x = 760

0.14 * x = 760 + 360

x = 1120 / 0.14

x = 8000

So,

the amount invested in funds that earned 11% is 8000.

the amount invested in stocks that suffered a 3% loss is 12000 - x = 12000 - 8000 = 4000.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,