Since June 30, 2007 Smith has been making deposits of 100 each into a bank account on the last day of each month. For all of 2007 and 2008, Smiths account earned nominal interest compounded monthly at an annual rate of 9%. For the first 9 months of 2009 the account earned i^(12)=.105, and since then the account has been earning i^(12)=.12.
Find the balance in the account on each of the following days:
(i) June 1, 2010
(ii) June 30, 2010