$[-/2$ Points$]$

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HARMATHAP $125.$R$\mathrm{.}050.$

ASK YOUR TEACHER

The sales decay for a product is given by $S=70,000e^{-0\mathrm{.}1x},$ where $S$ is the weekly sales $($in dollars$)$ and $x$ is the number of weeks that have passed since the end of an advertising campaign.

$($a$)$ What will sales be $6$ weeks after the end of the campaign? $($Round your answer to the nearest cent.$)$

$($b$)$ How many wesk will pass before sales drop below $$17,000?($Round your answer down to the nearest week.$)$

weeks