First, let's calculate the unpaid balance for the cycle:
![\begin{gathered} U=1381.16-1100 \\ U=281.16 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/4obxjokhj8bu7gebgheay9c4cz8cfckp4z.png)
Now, let's calculate the finance charge. First, let's convert the annual rate into a monthly rate:
![(0.18)/(12)=0.015](https://img.qammunity.org/2023/formulas/mathematics/college/7urigrp0njkbrp28gacnnnwiwdt8jqmk1z.png)
We get that the monthly rate is 1.5%
This way the finance charge is:
![\begin{gathered} F=281.16\cdot0.015 \\ F=4.22 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/y1k1payg49bv4f41eks8brt4oeoqeef6ka.png)
Now, let's calculate the New Balance:
![\begin{gathered} N=281.16+4.22+45.25+213.88+17.82 \\ N=562.33 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/4ju5j9v3gcvuhqcnr062har818rcll71gl.png)
This way:
Finance charge: $4.22
New balance: $562.33