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# On Sunday evening, Eric posts a video to the internet that is viewed 1

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Math Expert
Joined: 02 Sep 2009
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On Sunday evening, Eric posts a video to the internet that is viewed 1  [#permalink]

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27 Nov 2019, 01:53
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Difficulty:

55% (hard)

Question Stats:

61% (02:28) correct 39% (02:04) wrong based on 28 sessions

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On Sunday evening, Eric posts a video to the internet that is viewed 15 times by the end of the day. On Monday, the number of views doubles. The number of views continues to double on every weekday, Monday through Friday, and then triples on each day of the weekend, Saturday and Sunday. If this pattern continues, with his number of views doubling on weekdays and tripling on weekend days, how many views will his video have at the end of the 17th full day?

A. $$2^{13}3^55$$

B. $$15+13\cdot2+ 4*3$$

C. $$15\cdot2^{14}3^3$$

D. $$2^{13}3^4$$

E. $$15*6^{17}$$

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On Sunday evening, Eric posts a video to the internet that is viewed 1  [#permalink]

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27 Nov 2019, 14:47
Note that the video was posted on Sunday evening, so the day of posting does not constitute a full day. The first full day is therefore Monday. We know that seventeen days which begins on Monday has four-weekend days and thirteen weekdays.
Hence no. of full weekdays=13, no. of full weekends=4

We know there was 15 views by the end of the day on which the video was posted. Also, we know that the view doubles on each weekday and triple on each full day of the weekend.
Therefore, 15*2^13*3^4 = 5*3*2^13*3^4=2^13 * 3^5 * 5

On Sunday evening, Eric posts a video to the internet that is viewed 1   [#permalink] 27 Nov 2019, 14:47
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