Suppose it has been determined that the sales at Ewing Gallery decline after the end of an advertising campaign, with daily sales given by S\:=\:2100\left(2^{-0.2x}\right)S = 2100 ( 2 − 0.2 x ) , where S is in dollars and x is the number of days after the campaign ends. What are the daily sales 5 days after the end of the campaign?

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Answer:

$1050 is the daily sales 5 days after the end of the campaign.

Step-by-step explanation:

We are given the following in the question:

[tex]S(x)= 2100(2^{-0.2x})[/tex]

where S is the daily sales in dollars and x is the number of days after the campaign ends.

We have to find the value of the daily sales 5 days after the end of the campaign.

We put x  = 5 in the equation:

[tex]S(5)= 2100(2^{-0.2(5)}) = 2100(2^{-1}) = 1050[/tex]

Thus, $1050 is the daily sales 5 days after the end of the campaign.