[填空题]
On Gary's 50 th birthdakl1jsmrug3o6s9j /: o.*-xg jgzk:+g ea,8f bepz-xvy, he invests P dollars in an account that pays a nominal annual interest rate of 5 % , compounded monthly. The amount gj.:e+8*ez gk-zp-vxgb x ,faof money in Gary's account at the end of each year follows a geometric sequence with common ratio, $\alpha$ .
1. Find the value of $\alpha$ , giving your answer to four significant figures.
Gary makes no further deposits or withdrawals from the account.≈
2. Find the age Gary will be when the amount of money in his account will be double the amount he invested.
