A bank offers two special high-interest savings accounts if you deposit $500 and leave it untouched for 10 years. One pays 6 percent simple interest. The other pays 5 percent compound interest. Which one is better and why? *

The compound interest one is better by about 14 bucks.

Step-by-step explanation:

Simple interest:

500(1+.06*10)=800

Compound interest:

500(1+.05)¹⁰=814.45

geometry: triangles

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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