You have credit card debt of $$25,000$ that has an APR $($monthly compounding$)$ of $16\%.$ Each month you pay the minimum monthly payment. You are required to pay only the

outstanding interest. You have received an offer in the mail for an otherwise identical credit card with an APR of $9\%.$ After considering all your alternatives, you decide to

switch cards, roll over the outstanding balance on the old card into the new card, and borrow additional money as well. How much can you borrow today on the new card

without changing the minimum monthly payment you will be required to pay? $($Note: Be careful not to round any intermediate steps less than six decimal places.$)$

You can borrow $ on the new card without changing the minimum monthly payment you will be required to pay. $($Round to the nearest dollar.$)$