6.7.35
How long does it take for an investment to double in value if it is invested at 16% compounded monthly? Compounded continuously?
At 16% compounded monthly, the investment doubles in about years

the two may have that, even a breakdown is probably offered

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

there are no answer choices

step-by-step explanation: