On September $19,$ Lynn Knight joined a Christmas club. Her bank will automatically deduct $$100$ from her checking account at the beginning of each month and deposit it into her Christmas club account, where it will earn $6\%$ interest. The account comes to term on December $1.$

$($a$)$ Find the future value of the account, using an annuity formula. $($Round your answer to the nearest cent.$)$

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$($b$)$ Find the future value of the account, using the compound interest formula. $($Round your answer to the nearest cent.$)$

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$($c$)$ Find Lynn$\text{'}$s total contribution to the account.

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$($d$)$ Find the total interest. $($Round your answer to the nearest cent.$)$

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