You have credit card debt of $$37,500$ that has an APR $($monthly compounding$)$ of $18\%.$ 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 $10\%.$ 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.$)$