Dan took a 50mL dose of ibuprofen, and the amount of medicine in his bloodstream decreases at a rate of 23% each hour. How much medicine will be in his blood after 2.5 hours?
Dan took a 50mL dose of ibuprofen, and the amount of medicine in his bloodstream decreases at a rate of 23% each hour. H...
Ibuprofen is eliminated from the bloodstream at a constant rate, with 24.25% of the ibuprofen in the patients bloodstream each hour. patients bloodstream. (a) Find the amount of ibuprofen in the patients bloodstream after t 6 hours. That is, if ct represents the concentration of ibuprofen at time t, find c6. We know c0-0 and and thereafter the ibuprofen is (b) The directions of use for ibuprofen state that one pill may be taken every six hours. If the patient...
time does not 1. When you take a dose of medicine, the amount that remains in your bloodstream over remain constant. One popular allergy medication requires a daily dose of 10 mg. amount of the medication in the bloodstream at various times after taking the medication. The table shows the Time since taking Amount remaining 10 0 3.30 1.09 0.36 0.12 12 16 a. What type of function might be an appropriate model for these data and why? b. Use...
**Show all work and label answers for full credit. Box in your final answers." 1. When a person takes an ibuprofen pill, the amount of ibuprofen (in milligrams) in the person's bloodstream can be modeled by the function P(t) = 400(0.71)' where t represents the time in hours after the pill is taken. a. How much ibuprofen is taken initially? (2 pts.) 400 b. According to this model, is the amount of ibuprofen increasing or decreasing over time? (2 pts.)...
nt. The drug amount in the body dose of a drug is iniected into the body of a patient. The drug amount in me buy decreases at the rate of 11% per hour, that is, A = -0.11A where A is the amount in the body and t is the time, in hours. a. (3 pts.) A dose of 4 cubic centimeters (ce) is administered. Assuming Ao - the function that satisfies the equation. b. (2 pts.) How much of...
Chapter 9, Section 9.4, Question 013 The rate at which a drug leaves the bloodstream and passes into the urine is proportional to the quantity of the drug in the blood at that time. If an initial dose of Qo is injected directly into the blood, 27% is left in the blood after 4 hours. (a) Write and solve a differential equation for the quantity, Q. of the drug in the blood after t hours. Use k as the positive...
17. Life Science: drug dosage. A dose of a drug is injected into the body of a patient. The drug amount in the body decreases at a rate of 55% per hour, that is, dA =-0.55A, dt where A is the amount in the body and r is the time, in hours. (a) A dose of 7 cubic centimeters (cc) is administered. Assuming A = 7. find the function that satisfies the equation. (b) How much of the initial dose...
Question 3 (7 points) It is allergy season. When an average adult takes a single dose of Zyrtec, a common allergy medication, the serum level in the adult's body quickly peaks to 311 ng/mL. The amount of the drug in the bloodstream then decreases at rate of 8.3% per hour. a. Write an equation to model the decay of Zyrtec in the bloodstream. Type your answer into the space below. (3 points) b. Create a table (or use your equation)...
Currently Nathan deposits $300 at the end of each month into an IRA and his company will match 40% of his deposit amount. He will retire in 45 years. Assuming his account will earn 8.5% interest rate (APR), how much he can withdraw monthly after his retirement after-tax basis? (Assume he will live for another 25 years after retirement, his average tax rate will be 20%, and his deposit amount will remain constant).
Jack gives each of his sister $600 in non-labor income per week. Each sister has 100 hours per week to spend on labor or leisure, and each can earn a wage of $30 per hour. part a. (4 points) Allison utility is more accurately represented by the function U=CL2, which gives her a marginal rate of substitution (MUL/MUC) equal to 2C/L. where C is the amount of consumption (in $) and L is the hours of leisure she gets in...
Since he was 23 years old, Ben has been depositing $200 at the end of each month into a tax-free retirement account earning interest at the rate of 5.5%/year compounded monthly. Larry, who is the same age as Ben, decided to open a tax-free retirement account 5 years after Ben opened his. If Larry's account earns interest at the same rate as Ben's, determine how much Larry should deposit each month into his account so that both men will have...