[填空题]
On Gary's 50 th birthday, he invests P dollars in an 33b hxc 8y8lhv*vk-kn accouk12/mb8 q; 7qe,zna tvt uydqybo8(d2 nt that pays a nominal annual interest rate of 5 % , compounded monthly. The amount of money in Gary's account at the end of each year follows abvyqaq o,28q2 nzey1kt(dbu /7 ;mt8d 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.
