Question

Please show your work for brainliest!!
The cold medication pseudoephedrine decays at a rate of 5.95% per hour in the body. What is the half-life of pseudoephedrine?

Answer 1

Answer:

About 11.299 hours.

Step-by-step explanation:

To solve this problem, you can set up an equation to model the decay of the medicine. Let's call the time that medicine has been in the body x.

$(1-0.0595)^x=0.5$

$0.9405^x=0.5$

Taking the log x of both sides, you get

$x=\log_{0.9405} 0.5$

$x\approx 11.299$ hours. Hope this helps!