First, let's calculate the unpaid balance for the cycle:
[tex]\begin{gathered} U=1381.16-1100 \\ U=281.16 \end{gathered}[/tex]Now, let's calculate the finance charge. First, let's convert the annual rate into a monthly rate:
[tex]\frac{0.18}{12}=0.015[/tex]We get that the monthly rate is 1.5%
This way the finance charge is:
[tex]\begin{gathered} F=281.16\cdot0.015 \\ F=4.22 \end{gathered}[/tex]Now, let's calculate the New Balance:
[tex]\begin{gathered} N=281.16+4.22+45.25+213.88+17.82 \\ N=562.33 \end{gathered}[/tex]This way:
Finance charge: $4.22
New balance: $562.33