An investment banker is responsible for investing a customers money into the greatest interest earning account. The banker has the following options for his customers investment:

Account A: interest rate=8%, term of investment=8 years, interest compounded annually.

Account B: Interest rate=7%, Term of investment=10 years, interest compounding continuously.

Which account, A or B, will earn the customer the greatest amount of interest on his $50,000 investment? In your final answer include all of your calculations.

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step-by-step explanation:

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+

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