<p>In an experiment, \(5\) million cells were stored in a container. It was observed that&nbsp;\(40\)% of the cells are dying every minute. The number of cells remaining, \(N\), after \(t\) minutes, is given by \(N = Ae^{kt}\), where&nbsp;\(A\) and \(k\) are constants.</p>
<ol class="abc-list"><li data-list-item-id="item-a"><div class="list-item-content"><span class="list-item-text">Explain why \(k = \ln \frac{3}{5}\).</span><span class="inline-marks">[2]</span></div></li><li data-list-item-id="item-b"><div class="list-item-content"><span class="list-item-text">Find the time taken when the number of cells decreases to \(2000\).</span><span class="inline-marks">[3]</span></div></li></ol>

In an experiment, \(5\) million cells were stored in a container. It was observed that \(40\)% of the cells are dying every minute. The number of cells remaining, \(N\), after \(t\) minutes, is given by \(N = Ae^{kt}\), where \(A\) and \(k\) are constants.

Find the time taken when the number of cells decreases to \(2000\).

2025 SCGS PRELIMS P2 Q1

2025 SCGS PRELIMS P2 Q1