A woman has a total of $ 14 , 000 to invest. She invests part of the money in an account that pays 9 % per year and the rest in an account that pays 11 % per year. If the interest earned in the first year is $ 1420 , how much did she invest in each account? I need some help?

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

step-by-step explanation:

(3rd option) - c

i belive the biggest ratio would be 18: correct me if im wrong