To be able to take her dream vacation, Amanda decides to save for $6$ years. She opens a savings account with $$300.$ The account pays simple interest at an annual rate of $6\%.$ She doesn't make any more deposits.

Answer the following questions. If necessary, refer to the list of financial formulas.

$($a$)$ How much total interest will Amanda earn?

$$$

$($b$)$ What will the total amount in the account be $($including interest$)?$

$$$