Tom borrowed $2,000 at an 11.5% simple, interest rate for 5 years. What is the total amount tom will pay back at the end of 5 years?

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

18.8cm hope i at all

step-by-step explanation:

yeah i know the problem you need. i am taking it right now. the answer is step 3

~mickey

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