A = $1,084.99 the future value after t year

P = $520 is the principal

t = the number of years

m = 1 the number of compounding periods per year

n = m*t = t the number of compounding periods

r= 0.07 or 7% the annual interest rate

A = P(1 + r)^n

1,084.99 = 520(1 + 0.07)^t

520*1.07^t = 1084.99

1.07^t = 1084.99/520

by solving we find:

t = 10.87 years

click here to see the step by step solution of the equation:

it takes 10.87 years for $520 to grow to $1,084.99.