Problema Solution

at what rate of simple intrest will the sum of money double itself in 6 years?

Answer provided by our tutors

P = the principal

r = the annual rate

t = 6 years

A = the future value


A = P(1 + r*t)


since the money will double itself in 6 years we have A = 2*P thus


2P = P(1 + r*t)


P(1 + r*6) = 2P divde both sides by P


1 + 6r = 2


by solving we find


r = 0.167 or 16.7%


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the simple interest is 16.7%.