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After 4 hours: 500 × (1.02)^4 = 500 × 1.08243216 ≈ <<500*1.08243216=541.21608>>541.216
Round to nearest whole node: 541
#### 541
A bioinformatician models gene expression growth using the recurrence G(n) = 2G(n−1) + 3, with G(1) = 5. What is G(5)?
G(2) = 2×5 + 3 = <<2*5+3=13>>13
G(3) = 2×13 + 3 = <<2*13+3=29>>29
G(4) = 2×29 + 3 = <<2*29+3=61>>61
G(5) = 2×61 + 3 = <<2*61+3=125>>125
A civil engineer designs a flood-resistant bridge with a lifespan modeled by L = 50 × (1.03)^t years, where t is decades after construction. How many years will the bridge last beyond 75 years?
Solve: 50 × (1.03)^t > 75 → (1.03)^t > 1.5