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Month 3: 460 × 1.15 = <<460*1.15=529>>
Month 4: 529 × 1.15 = <<529*1.15=608.35>>608.35 ≈ 608 (whole people)
Total ≈ 400 + 460 + 529 + 608 = <<400+460+529+608=1997>>1997
#### 1997
A chemist prepares a solution by diluting 40 mL of concentrated acid to 500 mL total volume. What is the dilution factor, and if she needs 1.5 L of the diluted solution, how many milliliters of the original acid are required?
Dilution factor = final volume / initial volume = 500 / 40 = <<500/40=12.5>>12.5
For 1.5 L = 1500 mL, acid needed = 1500 / 12.5 = <<1500/12.5=120>>120 mL
A paleobotanist estimates the age of a fossil layer using carbon-14 decay, knowing the half-life is 5730 years. If a sample has 12.5% of its original carbon-14 remaining, how old is the sample?
12.5% = 1/8 = (1/2)³, so 3 half-lives have passed.
Age = 3 × 5730 = <<3*5730=17190>>17,190 years