Exotic Furnishings L$.$t$.$ has a line of credit secured by the equity in the business. The limit on the line of credit is $$45,000.$ Exotic owed $$25,935\mathrm{.}08$ on its line of credit on May $1.$ The line of credit agreement requires a regular payment of $$300\mathrm{.}00$ on the principal plus interest $($including overdraft interest$)$ by electronic transfer after closing on the last day of each month. Overdraft interest is $16\%$ p$.$a$.$ The line of credit interest is variable. It was $4\mathrm{.}7\%$ on May $1,5\mathrm{.}5\%$ effective July $15,$ and $6\mathrm{.}60\%$ effective October $10.$

$($a$)$ Calculate the interest payments on May $31,$ June $30,$ July $31,$ August $31,$ September $30,$ and October $31.$

$($b$)$ What is the account balance on October $31?$

Click the icon to view the transactions for the period May $1$ to October $31.$

$($a$)$ The amount of interest charged on May $31$ is $

$($Round the final answer to the nearest cent as needed. Round all intermediate values to sox decimal places as needed.$)$