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Home » \( 1,600 \times \frac18 = 200 \) - Professionaloutdoormedia

\( 1,600 \times \frac18 = 200 \) - Professionaloutdoormedia

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 An immunologist is studying the immune response to cancer and observes that a particular treatment doubles the number of active T-cells every 5 days. If the initial count of active T-cells is 1,000, how many active T-cells will there be after 20 days? Use the formula for exponential growth: \( N(t) = N_0 \times 2^{t/T} \), where \( T \) is the doubling time. Calculate \( N(t) \).

📌 Initial number of T-cells, \( N_0 = 1,000 \)

📌 Doubling time, \( T = 5 \) days

📌 Total time, \( t = 20 \) days

📌 Exponential growth formula: \( N(t) = N_0 \times 2^{t/T} \)

📌 Plug in the values:

📌 \[ N(t) = 1,000 \times 2^{20/5} \]

📌 Calculate the exponent:

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