Question

Fran is going to transfer her credit card balance over to a new card. She has an existing balance of $752.69. Her current card charges her a transfer fee of 12.5%, added to her balance, for transferring her debt. The new card has an opening fee of $50, which is also added to her balance. She will also have to make an immediate minimum payment, which is 3.35% of her total balance. How much will her balance be after she makes this payment, assuming that she pays the minimum amount? Round all dollar values to the nearest cent.