Problema Solution

If the accumulated amount is $3,720 at the end of 3 years and the simple rate of interest is 8%/year, what is the principal?

Answer provided by our tutors

Simple Interest


I = P*r*t


Accumulated amount


A = P + I = P + P*r*t = P(1 + rt)


A = P(1 + rt)


where


P = ? is the principal

r = 0.08 or 8% is the annual interest rate

t = 3 years is the time in years

A = %3,720 is the accumulated amount


A = P(1 + rt)


P = A/(1 + rt)


P = 3720/(1 + 0.08*3)


P = $3,000


the principal is $3,000.