How long will it take your money to grow from $9,000 to $50,000 if the interest is compounded monthly at 10% APR?
FV = PV [1 + R]^N
50,000 = 9,000[1 + 10/1200]^N divide both sides by 9,000
5.5556 = [1 + 0.0083333]^N
5.5556 = [1.0083333]^N take the log of both sides
N = Log(5.5556) / Log(1.0083333]
N = 206.63 months, or about 17 years and 3 months.