Final answer:
Maurice Mueller's new balance is $2,673.13.
Step-by-step explanation:
To find Maurice Mueller's new balance, we need to subtract the payment from the previous balance, add the finance charge, and add the new purchase.
Previous balance = $2,567.91
Payment = $99.10
Finance charge = $10.82
New purchase = $186.50
New balance = (Previous balance - Payment) + Finance charge + New purchase
New balance = ($2,567.91 - $99.10) + $10.82 + $186.50
New balance = $2,475.81 + $10.82 + $186.50
New balance = $2,673.13
Therefore, Maurice Mueller's new balance is $2,673.13.