Solve the problem 5) At the end of t years, the future value of an investment of $7000 in an account that pays 7% APR
compounded monthly is S = 70001 – 0.07.12
dollars. Assuming no withdrawals or additional deposits, how long will it take for the investment to reach 21000 ? Round three decimals

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

to complete this square you have to rotate about the origin 270 degrees clockwise.

you can use a^2+ b^2=c^2