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2003,NASDAQ:YY.
2003 .
AIAIAIAI .
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The current area is 4,500 − 540 = 3,960 km².
#### 3960
A linguist analyzing language evolution finds that a certain word’s usage frequency doubles every 50 years. If it appeared in 0.01% of texts in 1900, what percentage of texts will it appear in by 2050, assuming exponential growth?
From 1900 to 2050 is 150 years, which is 150 ÷ 50 = 3 doubling periods.
Starting value: 0.01%.
After 3 doublings: 0.01% × 2³ = 0.01% × 8 = 0.08%.
#### 0.08
A digital communications strategist in Oregon launches a campaign that reaches 15,000 people in week 1. Each subsequent week, reach increases by 20%. What is the total reach after 5 weeks?
This is a geometric series with first term a = 15,000 and ratio r = 1.2, for n = 5 terms.
Sum = a(rⁿ − 1)/(r − 1) = 15,000(1.2⁵ − 1)/(0.2)