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Home » Let day 1 = *x*. - Nelissen Grade advocaten

Let day 1 = x. - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 200(1.05)^t = 300(1.03)^t

📌 Divide both sides by 100:

📌 2(1.05)^t = 3(1.03)^t

📌 \ln(2) + t \ln(1.05) = \ln(3) + t \ln(1.03)

📌 Solve for $ t $:

📌 t (\ln(1.05) - \ln(1.03)) = \ln(3) - \ln(2)

📌 t = \frac{\ln(3) - \ln(2)}{\ln(1.05) - \ln(1.03)}

📌 t = \frac{\ln\left(\frac{3}{2}\right)}{\ln\left(\frac{1.05}{1.03}\right)} \approx \frac{0.4055}{0.0198} \approx 20.48

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