00:01
Hi there.
00:03
So for this problem, we are given that the concentration of this medication at any given time is equal to the initial concentration, lower case, c times the aspenential of minus the constant of proportionality times the time.
00:19
Now, we are given that the initial concentration, lower case, c is equal to 20, and the constant of proportionality k, also given, that is zero.
00:31
Now the question for this problem is when should the drug be readministerated so that the concentration does not fall below the minimum effective concentration of five.
00:49
So and with that we will need to obtain the time at which the concentration capital c is equal to five.
00:59
Then, substituting the values that we are given, we will have that this is 20 times the exponential of minus 0 .23, this times the time.
01:17
Now, we set this to the minimum concentration, which is 5.
01:22
Then we start solving for the time...