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February 22, 2026

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Calculate \( \ln(24) \):
\[ \ln(24) \approx 3.1781 \]
\[ r = \frac{3.1781}{10} \approx 0.3178 \]
\[ r \approx 31.78\% \]
#### 0.3178
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 \( N(t) \).

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