SOLUTION: The amount A (in milligrams) of Digoxin, a drug taken by cardiac patients, remaining in the blood t hours after a patient takes a 2-milligram dose is given by A = 2(10-^0.0078t).

Algebra.Com
Question 49968This question is from textbook Applied College Algebra
: The amount A (in milligrams) of Digoxin, a drug taken by cardiac patients, remaining in the blood t hours after a patient takes a 2-milligram dose is given by A = 2(10-^0.0078t).
a. How much Digoxin remains in the blood of a patient 4 hours after taking a 2-milligram dose?
b. Suppose a patient takes a 2-milligram dose of Digoxin at 1:00 P.M. and another 2- milligram dose at 5:00 P.M. How much Digoxin remains in the patient's blood at 6:00 P.M.?
This question is from textbook Applied College Algebra

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!

Find A when t = 4.


mg. (Rounded to the nearest thousandth)
To find the amount of Digoxin remaining at 6:00 pm, you know that the amount remaining at 5:00 pm (4 hours after the initial 2-mg dose) is given above (A = 1.86 mg.). Now add 2 mg of Digoxin to this (2 + 1.86 = 3.86) and apply the formula for this amount for t = 1 hour.


mg. (Rounded to the nearest thousandth)

RELATED QUESTIONS

A doctor prescribes 100 milligrams of a therapeutic drug that decays by about 30% each... (answered by josmiceli)
A drug is administered to a patient every 4 hours. The patients metabolism causes the... (answered by Theo)
the number of milligrams of a diabetic drug in a person's system after t hours is given... (answered by nerdybill)
When a certain medical drug is administered to a patient, the number of milligrams... (answered by Cromlix)
A doctor prescribes 100 milligrams of a therapeutic drug that decays by about 20% each... (answered by Boreal)
A drug is eliminated from the body through urine. Suppose that for a dose of 200... (answered by josgarithmetic)
A drug is injected into a patient and the concentration of the drug in the bloodstream is (answered by math33)
The remaining concentration of a drug in a person’s bloodstream is modeled by the... (answered by Theo)
The remaining concentration of a drug in a person’s bloodstream is modeled by the... (answered by math_tutor2020,josgarithmetic)