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On the first day it was posted online, a music video got 510 views. The number of views that the video got each day increased by 20% per day. How many total views did the video get over the course of the first 20 days, to the nearest whole number?

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Answer:

19,552 views on day 20, 114,763 views cumulative total for 20 days.

Step-by-step explanation:

The decimal equivalent to "increased by 20% per day" would be (510)*(1.20)/day, if we started with 510 views as day 0.  Day 1 would be (510)*(1.20) = 612 views.

If we have n successively days, the equation would read (510)(1.20)^n.

This means that after, lets say, 3 days, the calculation would be (510)*(1.20)^3, or 881 views.

On day 20, the calculation is (510)*(1.2)^20, or 19,552 views.

But the question asks "How many total views did the video get over the course of the first 20 days . . ?"  This seems to be asking the sum of the first 20 days, which is easy if you use a spreadsheet.  But if you read the question to mean what are the total views on day 20, the answer would be 19,552 views.

If you read the question as asking for the total sum of views over 30 days, the answer is 114,763.  Quick:  what does that amount to at $0.05 per view.

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