Question

A sample of bacteria is growing at an hourly rate of 10% compounded continuously. The sample began with 4 bacteria. How many bacteria will be in the sample after 18 hours? Round your answer down to the nearest whole number, and do not include units in your answer.

Answer 1

24 bacteria

Step-by-step explanation:

P = 4 = beginning number of bacteria

rate = r = 0.1

Now

We applied the following formula

A = Pe^{rt}A=Pe

rt

= 4\times e^{18\times0.1}=4×e

18×0.1

=4e^{1.8}=4e

1.8

= 4\times6.049647464=4×6.049647464

= 24