Rafik counted the amount of money in his coin bank and wrote down the total. The amount was more than $12 but less than $13. The next day, he added a penny to the bank. To show the new total, he had to change exactly two digits in the old total. What are the possible amounts he could have had in the bank before he put in the additional penny?

$12.09

$12.19
and so on up to
#12.89