How long would it take Belinda's $800 investment to double in value if she has a bond with a 8.75% interest rate?

it takes approximately 11 years and 3 months (11.4 years) for Belinda's investments to double.    

Step-by-step explanation:

To calculate the time it takes for Belinda's money to double, we will use the simple interest formula as shown below:

Simple interest = P × R × T

where:

P = principal = $800

R = Rate in decimal = 8.75% = 0.0875

T = time = ???

simple interest = $800 ( her money doubles)

∴ 800 = 800 × 0.0875 × t

800 = 70 × t

∴ t = 800 ÷ 70 = 11.4 years. (11 years and 3 months)

Therefore after approximately 11 years and 3 months, Belinda's investments doubles

side side side

side angle angle

angle side angle

side angle side

step-by-step explanation:

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