In 2004 and 2005 Smith deposits 12 everyday into an account and in 2006 he deposits 15 every day into the account. The account earns interest from the exact time of the deposit, with interest quoted as an effective annual rate. The rates are 9% in 2004 and 2005, and 12% in 2006. Find the amount in the account, including interest, on December 31 2006 (a) exactly based on daily deposits, and (b) using the approximation that deposits are made continuously.