You have already invested $400 in a stock with an annual return of 11%. how much of an additional $1,200 should be invested at 12% and how much at 6% so that the total return on the entire $1,600 is 9%? (round each answer to the nearest cent.)

The total return you want is 0.09 * 1600 = $144

Let a be the amount invested at 12% and b be the amount invested at 6% 

0.12a + 0.06b = 144 - 44

12a + 6b = 10000

a + b = 1200

Put those 2 equations together and solve for a and b: 

12a + 6b = 10000 

a + b = 1200

Using elimination, a = $466.67 and b = $733.33

So, out of an additional $1200, invest $466.67 at a rate of 12% and $733.33 at a rate of 6%

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation: