[填空题]
On Gary's 50 th birthday, he inve kvm/7vn3j pth4-i1agsts P dollar:ke 3r liu66ats in an account that pays a nominal annual interet ural: i6ek36st rate of 5 % , compounded monthly. 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.
