bridget wants to have $17,950 in her account in 10 years. how much money should she deposit in her account if it earns 7.5% interest, compounded continuously? round to the nearest cent.

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

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.