SOLUTION: If 500 milligrams of anestesia are injected into a patient prior to surgery and the amout A in milligrams in the patient after t hours is given by the equation A=500e-0.165t the -0
Algebra.Com
Question 376325: If 500 milligrams of anestesia are injected into a patient prior to surgery and the amout A in milligrams in the patient after t hours is given by the equation A=500e-0.165t the -0.165t is suppose to be up like a square on 500e but didn't know how to put it up there.
a) the amount of anestesia left after 5 hours.
b) when the amount of anesthesia remaining in the patient will be 100mg.
Can you help ! I'm suppose to do it on the calulator but can't figure it out.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a)
Start with the given equation.
Plug in
Multiply -0.165 and 5 to get -0.825
Evaluate to approximately get
Multiply
So approximately 219.117 mg (rounded to the nearest thousandth) will be left after 5 hrs.
-----------------------------------------------
b)
Start with the given equation.
Plug in
Divide both sides by 500.
Divide
Take the natural log of both sides.
Pull down the exponent.
Evaluate the natural log of 'e' to get 1.
Multiply.
Divide both sides by -0.165 to isolate 't'.
Evaluate the left side with a calculator.
So the solution is approximately (rounded to the nearest thousandth)
So in about 9.754 hours, there will be 100 mg left over.
If you need more help, email me at jim_thompson5910@hotmail.com
Also, feel free to check out my tutoring website
Jim
RELATED QUESTIONS
The rational function M(t) = (0.5t+400)/(0.04t^2+1) models the number of milligrams of... (answered by stanbon)
A drug is injected into a patient and the concentration of the drug is monitored. The... (answered by Fombitz)
A certain medicine is given in an amount proportional to a patient's body weight. Suppose (answered by richwmiller)
A certain medicine is given in an amount proportional to a patient's body weight. Suppose (answered by checkley77)
A certain medicine is given in an amount proportional to a patient's body weight. Suppose (answered by Fombitz)
During 24 hours, a patient is to receive three 60-mg doses phenobarbital. How many... (answered by josgarithmetic)
For a certain medication, the amount (in milligrams) of the medicine given to a patient... (answered by greenestamps,ikleyn)
It reads: A drug is injected into a patient and the concentration of the drug in the... (answered by solver91311)
During surgery, a patient's circulatory system requires at least 50 milligrams of an... (answered by josgarithmetic)