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After month 2: 80.5 + (2.5% of 19.5) = 80.5 + 0.4875 = 80.9875
A biotech firm engineers bacteria that double in efficacy every 2 days. If initial efficacy is 5 units, what is the efficacy on day 10?
An AI startups customer base grows exponentially, increasing by 60% each month. Starting with 100 customers, how many will there be after 4 months?
Each day multiplies count by (1 - 0.4) = 0.6
#### 116640A linguist analyzing the evolution of English dialects observes that a certain archaic word frequency decreases by 12% every century. If the word appeared in 80% of spoken texts in the year 1500, in what percentage of texts would it appear in 2025, assuming exponential decay?
The decay factor per century is 1 - 0.12 = 0.88.
Thus, the word appears in approximately 40.91% of texts in 2025.
Excess summer production per household: 280 - 95 = 185 kWh.
An anthropologist studying migration patterns models human movement across a region using a grid. A population starts at point (0,0) and splits into two groups: one moving 7 km east and 3 km north, the other 4 km west and 5 km north. Find the straight-line distance (in km) between the final positions of the two groups.
Final position of first group: (7, 3).