A woman has a total of $ 9,000 to invest. She invests part of the money in an account that pays 11 % per year and the rest in an account that pays 12 % per year. If the interest earned in the first year is $ 1040, how much did she invest in each account?

interest + interest      = total interest

0.08*x   + 0.09*(9000-x) = 750    dollars

0.08x + 810 - 0.09x = 750

-0.01x = 750 - 810 = -60  ====>  x = = 6,000

Answer.  $6000 was invested at 8%.  The rest   9000-6000 = 3000 dollars were invested at 9%.

Check.   0.08*6000 + 0.09*3000 = 480 + 270 = 750 dollars.  

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

r = 78539458390583095803458309458039485093485 or just 3

step-by-step explanation: