If a loan is taken out for $991 at 3% and cost 267.57 dollars how long was the loan for

9 years.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

t = 267.57 / ( 991 × 0.03 ) = 9

t = 9 years

The time required to

accumulate simple interest of $ 267.57

from a principal of $ 991.00

at an interest rate of 3% per year

is 9 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