56.9k views
5 votes
Caffeine leave the body or continuous rate of 18% per hour of Alexa drinking energy drink that contains 110 mg of caffeine how much caffeine will be in your bloodstream after 12 hours

User Akshay
by
7.2k points

1 Answer

3 votes

Answer:

10.168 mg

Explanation:

Amount of caffeine in body = 110 mg

Decreases at the rate of rate of 18% per hour

how much caffeine will be in your bloodstream after 12 hours

After the first hour;

New amount = 110 - (0.18 * 110) = 90.2 mg

After the second hour;

New amount = 90.2 - (0.18 * 90.2) = 73.964 mg

After the third hour;

New amount = 73.964 - (0.18 * 73.964) = 60.65 mg

After the fourth hour;

New amount = 60.65 - (0.18 * 60.65) = 49.733 mg

After the fifth hour;

New amount = 49.733 - (0.18 * 49.733) = 40.78 mg

After the sixth hour;

New amount = 40.78 - (0.18 * 40.78) = 33.44 mg

After the seventh hour;

New amount = 33.44 - (0.18 * 33.44) = 27.4208 mg

After the eighth hour;

New amount = 27.4208 - (0.18 * 27.4208) = 22.485 mg

After the ninth hour;

New amount = 22.485 - (0.18 * 22.485) = 18.4377 mg

After the tenth hour;

New amount = 18.4377 - (0.18 * 18.4377) = 15.119 mg

After the eleventh hour;

New amount = 15.119 - (0.18 * 15.119) = 12.40 mg

After the twelfth hour;

New amount = 12.40 - (0.18 * 12.40) = 10.168 mg

User Fqhv
by
6.7k points