Alexandra invested $610 in an account paying an interest rate of 7 3/8% compounded daily. Madeline invested $610 in an account paying an interest rate of 7 7/8%

compounded continuously. After 16 years, how much more money would Madeline

have in her account than Alexandra, to the nearest dollar?

Exact 165.5754

Rounded to the nearest dollar: 166

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

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.