We can model this with the following exponential function:
A = 100(.90)n where A is the value of the account after n withdrawals
So, after 10 witdrawals,we have
A = 100(.90)10 = $34.87 left after 10 withdrawals
This seems counter-intuitive....but we are withdrawing 10% of a smaller and smaller balance as n increases. Theoretically, since an exponential function is never 0, the account is never emptied - there always remains some fraction of one cent, even after infinite withdrawals !!!! (However, the limit of this fuction as n approaches infinity = 0)
