Drug dosage A drug is eliminated from the body throughurine. Suppose that for a dose of 10 milligrams, the amountA(t) remaining in the body t hours later is given byA(t) = 10(0.8)' and that in order for the drug to be effective,at least 2 milligrams must be in the body.(a) Determine when 2 milligrams is left in the body.(b) What is the half-life of the drug?

Given that The amount of drug remaining in the body after t hours is given At=100.8t (a) Determine…

Answered: Drug dosage A drug is eliminated from…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section4.2: The Natural Exponential Function

Problem 24E

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Enlarging a Field A farmer has a rectangular cow pasture with width 100 ft. and length 180 ft. An increase the number of requires the farmer to increase the area of her pasture. She has two options: Option 1: Increase the length of the field. 0ption 2: Increase the width at the field. It costs $10 per foot to install new fence. Moving the old fence costs $6 per linear foot of fence to be moved. (a) For each option, find a formula for A, the area gained, in terms of the cost C. (b) Complete the table for the area gained in terms of the cost for each option. (c) If the farmer has $1200 for this project, which option gives her the greatest gain in area for her money? What if she had $2000 for the project?
Van der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law, which shows the relationship among volume V, pressure p, and temperature T for a fixed amount 1 mole of a gas. But chemists believe that in many situations, the van der Waals equation gives more accurate results. If we measure temperature T in kelvins, volume V in liters, and pressure p in atmosphere 1 atm is the pressure exerted by the atmosphere at sea level, then the relationship for carbon dioxide is given by p=0.082TV0.0433.592V2atm What volume does this equation predict for 1 mole of carbon dioxide at 500 kelvins and 100 atm?Suggestion: Consider volumes ranging from 0.1 to 1 liter.
Continued This is a continuation of Exercise 13. As we saw earlier, the stock turnover rate of an item is the number of times that the average inventory of the item needs to be replaced as a result of sales in a given time period. Suppose that a hardware store sells 80 shovels each year. a. Suppose that the hardware store maintains an average inventory of 5 shovels. What is the annual stock turnover rate for the shovels? How is this related to the yearly number of orders to the wholesaler needed to restock inventory? b. What would he the annual stock turnover rate if the store maintained an average inventory of 20 shovels? c. Write a formula expressing the annual stock turnover rate as a function of the average inventory of shovels, identify the function and the variable, and state the units.

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