[填空题]
On Gary's 50 th birthday, he invest/u *fu6f(aum-kihw/ l7 zu:lj s P dollldo r 6kae693 *ka2pyd5d nu6sars in an account that pays a nominal annual interest rate of 5 % , compounded monya opdls r dnek63*d2kua695 6thly. The amount of 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.