(Solved): The growth of bacteria makes it necessary to time-date some food products so that they will be sol ...

The growth of bacteria makes it necessary to time-date some food products so that they will be sold and consumed before the bacteria count is too high. Suppose for a certain product the number of bacteria present is given by $$\mathrm{f}(\mathrm{t})=500e^{0.1t}$$, where $$\mathrm{t}$$ is time in days and the value of $$\mathrm{f}(\mathrm{t})$$ is in millions. Find the number of bacteria present at each time. (a) 3 days (b) 4 days (c) 2 weeks (a) Approximately million bacteria are present in 3 days. (Round to the nearest integer as needed.) (b) Approximately million bacteria are present in 4 days. (Round to the nearest integer as needed.) (c) Approximately million bacteria are present in 2 weeks. (Round to the nearest integer as needed.)