A company received an invoice for $$$$3800\mathrm{.}59$ dated August $18$ with terms $7/15,3/30,$n$/60.$

$($a$)$ If the invoice is paid on September $1,$ how much is to be$$ paid?

$($b$)$ If the invoice is paid on September $13,$ how much is to be$$ paid?

$($c$)$ If the invoice is paid on October $15,$ how much is to be$$ paid?

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Part $1$

$($a$)$ The amount to be paid on September $1$ is $$$

$$

enter your response here.

$($Round to the nearest cent as$$ needed.$)$

Part $2$

$($b$)$ The amount to be paid on September $13$ is $$$

$$

enter your response here.

$($Round to the nearest cent as$$ needed.$)$

Part $3$

$($c$)$ The amount to be paid on October $15$ is $$$

$$

enter your response here.

$($Round to the nearest cent as$$ needed.$)$