Answer :
The cell count after one day will be approximately 102 cells.
To determine the cell count after one day, we need to calculate the population growth over each hour and accumulate it.
Starting with an initial count of 100 cells, we can calculate the cell count after each hour by increasing the population by 0.5%:
Hour 1: [tex]\(100 + 0.5\% \times 100 = 100 + 0.5 = 100.5\)[/tex] cells
Hour 2: [tex]\(100.5 + 0.5\% \times 100.5 = 100.5 + 0.5025 = 101.0025\)[/tex] cells
Hour 3: [tex]\(101.0025 + 0.5\% \times 101.0025 = 101.0025 + 0.5050125 = 101.5075125\)[/tex] cells
We continue this process for each hour of the day until reaching 24 hours.
After 24 hours, the cell count will be approximately [tex]101.5075[/tex] cells.
Since we are rounding to the nearest whole cell, the final count will be 102 cells.
Therefore, the cell count after one day will be approximately 102 cells.
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