Explain why one-twelfth interest every month on an initial one pound will give you (1 + (1/12))¹² pounds at the end of the year.

16

step-by-step explanation:

2 x 40 = 80

80/5

= 16

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

i dont know the answer but here's a picture of a dog