Rae's unpaid credit card balance was $522. Her APR is 18.9%. What is her newbalance after she makes one new transaction for $306? Round answer to thehundredths place. If answer doesn't have a hundredths place then include a zero sothat it does.

Respuesta :

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