Math  Exponential
posted by Anonymous .
Please check my answers and methods if they are correct! Thanks in advance.
Suppose the % of alc. in the blood, t, hours after consumption is C(t) = 0.3te^(t/2). How much time passes before the blood alcohol lvl starts to decrease?
C'(t) = 0.3e^(t/2)  0.15te^(t/2)
C'(t) = e^(t/2)(0.3  0.15t)
0 = 0.3  0.15t
t = 2 hours
So... 2 hours passes before it starts to decrease

Records show that, t, weeks after the outbreak of a specific disease, approx. Q(t) = 15/(1 + 14e^(1.7t)) thousand people had caught it. If the trend continues, approx. how many people will eventually contract it?
Q(0) = 15/1
Q(0)  15 000
So... 15,000 people will contract the disease.

I agree with both of your answers
Respond to this Question
Similar Questions

hard math question
When a certain drug enters the blood stream, its potency decreases exponentially with a half life of 6 hours. Suppose the initial amount of the drug present is A (sub 0). How much of the drug will be present after each number of hours? 
biology
After a meal rich in starch, the blood with the highest concentration of sugar would be in what blood vessel? 
precal
In sixteen states and the District of Columbia, the legal bloodalcohol level is 0.08. Use the formula A(x) = 0.0082x2 + 0.06x to compute bloodalcohol levels as a function of x (the time in hours). When is the first time that a person … 
Calculas
suppose m(0) milligrams of a drug are put in the blood of an injection. The amount of drug t hours after the injection is given by m(t)=m(o)e^kt, for t (=>) 0, where k is the rate constant, which is related to the half life. we … 
CALCULUS PLEASE HELP!!
suppose m(0) milligrams of a drug are put in the blood of an injection. The amount of drug t hours after the injection is given by m(t)=m(o)e^kt, for t (=>) 0, where k is the rate constant, which is related to the half life. we … 
CALCULUS PLEASE HELP!!
suppose m(0) milligrams of a drug are put in the blood of an injection. The amount of drug t hours after the injection is given by m(t)=m(o)e^kt, for t (=>) 0, where k is the rate constant, which is related to the half life. we … 
Advanced Math Help!
suppose m(0) milligrams of a drug are put in the blood of an injection. The amount of drug t hours after the injection is given by m(t)=m(o)e^kt, for t (=>) 0, where k is the rate constant, which is related to the half life. we … 
CALCULUS PLEASE HELP
suppose m(0) milligrams of a drug are put in the blood of an injection. The amount of drug t hours after the injection is given by m(t)=m(o)e^kt, for t (=>) 0, where k is the rate constant, which is related to the half life. we … 
math
Suppose 48% of the general population of thw world has blood type O, 27% blood type A, and 23% blood type B. a. what is the probability that someone has type AB blood( assume that there are only four blood types? 
Science/ bio HELP PLEASE!!!!!!!
Pick the correct answer to the following question. Write a brief statement explaining why each choice of answers is correct or incorrect. A person is hyperventilating. Their rapid rate of breathing causes a loss of carbon dioxide than …