Saturday, October 17, 2015

Google!

Problem:



Solution:

3a) $ d(0) $ is simply the price when Google stock was opened. Therefore $ d(0) = 85 $.
3b) $ d(11) $ is the price when Google stock was opened for 11 years. $ 2004 + 11 = 2015 $, therefore it is asking for the stock price in 2015, therefore $ d(11) = 630 $.
3c) That is $ \frac{630}{85} \times 100\% =  741.1764705882353\% $.
3d) The percentage change is $ \frac{630 - 85}{85} \times 100\% = 641.1764705882353\% $.

Bonus:

The average rate of change of Google's stock price is $ \frac{630 - 85}{11} = 49.54545454545455 $.

$ q(n) = 85 + \frac{545n}{11} $

$ p(n) = 85 \times (\frac{630}{85})^{\frac{n}{11}} $

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