The minimum payment for this month would be:
minimum payment = 3% of $3,400 = 0.03 x $3,400 = $102
The interest charged on the remaining balance after the minimum payment is made can be calculated as:
interest = APR/12 x remaining balance
where APR is the annual percentage rate and the division by 12 is to convert it to a monthly rate.
So for this month, the interest charged would be:
interest = 0.27/12 x $3,298 = $74.32
where $3,298 is the remaining balance after the minimum payment is made.
Therefore, the balance next month would be:
balance = previous balance - payment + interest
balance = $3,400 - $102 + $74.32 = $3,372.32
So the balance next month should be $3,372.32 if you only make the minimum payment and do not use the card again.