Precalulus problem help please?
A company begins a radio advertising campaign in NYC to market a new video game. The percentage of the target marker that buys a game is generally a function of the length of the advertising campaign. The estimated percentage is give by
f(x)= 100(1-e^(-0.04t))
a) Find the percentage of the target market that has bought the product after a 25 day advertising campaign.
I found this to be 63.2%, let me know if I'm wrong.
b) After how long will 90% of the target market have bought the product? Round to the nearest day.
Help with part b please? Thank you!:)
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Verified answer
f(x)= 100(1-e^(-0.04t))
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f(t) = 100(1- e^(- 0.04t))
f(t) = 90
90 = 100(1- e^(- 0.04t))
0.9 = 1 - e^( - 0.04t)
e^( - 0.04t) = 0.1
- 0.04t = ln (0.1)
t = ln (0.1) / ( - 0,04)
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Hope this helps!