Number of doubling periods = 15 / 3 = 5.
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- Time to catch up = 120 / 30 = 4 hours.
- Distance = 90 * 4 = 360 km.
- A scientist measures a bacterial culture that doubles every 3 hours. Starting with 500 bacteria, how many bacteria are present after 15 hours?
- Final count = 500 * (2^5) = 500 * 32 = 16,000 bacteria.
- A budget plan allocates $1,200 monthly for entertainment. The university increases the budget by 10% in the first year and 5% in the second year (applied annually to the previous total). What is the entertainment budget in the third year?
- After first year: 1,200 * 1.10 = $1,320.
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