where P = beginning amount = 100
      A = final amount = 1000 
      r = rate expressed as a decimal = .08
      n = 4 (quarterly means compounded 4 times a year)
      t = ? (number of years, the unknown)







Divide both sides by 100



Take logs of both sides:

  

Use the rule of logs:  



Divide both sides by (4*log(1.02))



29.06918686 years.

Edwin