Given: The following details
[tex]\begin{gathered} P_{\text{revious balance}}=522 \\ T_{\text{ransaction}}=306 \\ \text{APR}=18.9\% \end{gathered}[/tex]To Determine: The new balance
The new balance can be calculated by the formula below
[tex]N_{ew\text{ balance}}=P_{revious\text{ balance}}-T_{ransaction}+F_{inance\text{ charge}}[/tex][tex]\begin{gathered} F_{\text{nance charge}}=APR\times(P_{revious\text{ balance}}-T_{ransaction}) \\ F_{\text{nance charge}}=0.189\times(522-306)=40.82 \end{gathered}[/tex][tex]\begin{gathered} N_{ew\text{ balance}}=522-306+40.824 \\ N_{ew\text{ balance}}=256.82 \end{gathered}[/tex]Hence, the new balance is $256.82