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Home » Therefore, the smallest prime factor is \(\boxed7\). - inBeat

Therefore, the smallest prime factor is \(\boxed7\). - inBeat

📅 May 3, 2026 👤 scraface

May 03, 2026

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1000(1 + 0.05t) = 1000(1.04)^t
Dividing both sides by 1000:
+ 0.05t = (1.04)^t
Solving numerically (logarithms or trial):
Try \( t = 8 \):
+ 0.05(8) = 1.4, \quad (1.04)^8 \approx 1.3686
Try \( t = 9 \):
+ 0.05(9) = 1.45, \quad (1.04)^9 \approx 1.4233
Try \( t = 10 \):
+ 0.05(10) = 1.5, \quad (1.04)^{10} \approx 1.4802

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