Multiply by −2 (reverse inequality): t > 4.595 × 2 = <<4.595*2=9.19>>9.19
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- Solve: 10000 / (1 + 99e^(−0.5t)) > 5000
- Divide both sides: 2 > 1 + 99e^(−0.5t) → 1 > 99e^(−0.5t) → e^(−0.5t) < 1/99
- Take natural log: −0.5t < ln(1/99) = −ln(99) ≈ −4.595
- So, after 10 full days.
- #### 10**Question:
- A seismologist is modeling the intensity of ground shaking using the function \( I(t) = 5\sin(t) + 3\cos(t) \). Determine the maximum intensity of ground shaking.
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