Suppose you open a credit card account and charge $$150$ to the account on the first of each month to pay for your cable and Internet subscription. You plan to pay just the minimum payment each month for the first $6$ months $($until your summer job starts$).$ The APR is $14\mathrm{.}99\%$ and the minimum payment is $4\%$ of the balance. Use Excel to fill in the values in the table below and answer the questions that follow.

$\backslash$table$[[$Month$,$Starting Balance,New Purchases,Balance $+$ Purchases,Finance Charge New Balance Minimum Payment$],[1,$$$0,$$$150,$$$150,],[2,$$$150,,,],[3,$$$150,,,],[4,$$$150,,,],[5,$$$150,,,],[6,$$$150,xxx,$XXX$,],[7,xxx,xxx,,]]$

Express your answers rounded to the nearest cent.

$($a$)$ What is the starting balance at the beginling of the $7$th month?

$$

$($b$)$ What is the starting balance at the beginning of the $4$th month?

$$

$($c$)$ Your total finance charge is what percent of your total payments?

Express your answer rounded to the nearest tenth of a percent.

$$