Given that the credit card has a 3.5% cash advance fee. The the cash advance fee on a cash advance of $2,790.00 is given by
[tex]0.035\times\$2,790=\$97.65[/tex]
Given that the card has an APR of 13%, the value of the cash advance at the end of the month is given by
[tex]FV=2790(1+0.13)^{ \frac{1}{12} } \\ \\ =2790(1.13)^{ \frac{1}{12} }=2790(1.0102) \\ \\ =\$2,818.56[/tex]
Therefore, the amount due at the end of the month is given by $2,818.56 + $97.65 = $2,916.21