Tim has a savings account with the bank. The bank pays him 1% per year. he has $5,700 and wondered when it will reach $5,800. When will his savings reach $5,800? If necessary, round your answer to the nearest whole number. Considering interest is calculated yearly, it will take Tim approximately year(s).

Out of five men and five women, we form a committee consisting of four different people. assuming that each committee of size four is equally likely, find the probabilities of the following events: 1. the committee consists of two men and two women 2. the committee has more women than men. 3. the committee has at least one man. for the remainder of the problem assume that alice and bob are among the ten people being considered. 4. both alice and bob are members of the committee.