Hossein has a goal of accumulating $413 at the time of his future retirement date. He has today placed $150 in a retirement account that will earn an interest rate of 6% each year. How long will Hossein need to wait (in years and in fractions of a year to at least 2 decimal places) before he can retire?

Your answer must be in years and percent of a year using at least two decimal places. For example, the answer of 5 and one-third years should be placed as 5.33. Work your analysis using at least four decimal places of accuracy.