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?

Answer 1

Answer:

24

Step-by-step explanation:

The computation of the number  of bacteria in the sample after 18 hours is shown below:

We assume the following things

P = 4 = beginning number of bacteria

rate = r = 0.1

Now

We applied the following formula

$A = Pe^{rt}$

$= 4\times e^{18\times0.1}$

$=4e^{1.8}$

$= 4\times6.049647464$

= 24

We simply applied the above formula to determine the number of bacteria after the 18 hours