Given:
Initial population = 100 algae
Growth rate = 30% per day.
Time = 5 days
To find:
The future amount of population.
Solution:
The exponential growth model is

where, a is the initial value, r is the rate of interest in percent and t is time period.
Substituting the given values, we get


Now, solve this.



Therefore, the future value is 371.293 algae.