New cost: \( 1,200,000 - 420,000 = 780,000 \).
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- Number of decades: \( \frac{0.8}{0.2} = 4 \).
- A technology consultant calculates that migrating to the cloud reduces operational costs by 35%. If the current annual cost is $1,200,000, what is the new annual cost?
- Savings: \( 1,200,000 \times 0.35 = 420,000 \).
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- A research article estimates that a certain virus spreads such that each infected person infects 1.5 others every week. Starting with 4 infected individuals, how many are infected after 4 weeks?
- This follows exponential growth: \( 4 \times (1.5)^4 = 4 \times 5.0625 = 20.25 \), rounded to the nearest whole person: 20.
