Price-Supply EquationThe number of bicycle. helmets a retail chain is willing to sell per week at aprice of $p is given byx = a√p+b-c,where a = 83, b = 26, and c = 359.Find the instantaneous rate of change of the supply with respect to pricewhen the price is $64. Round to the nearest hundredth (2 decimal places).helmets per dollar

Answered: Price-Supply Equation The number of…

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Exponential And Logarithmic Functions

Section11.S: Summary

Problem 17S

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Suppose the world’s oil reserves in 2014 are 1,820 billion barrels. If, on average, the total reserves are decreasing by 25 billion barrels of oil each year: a. Give a linear equation for the remaining oil reserves,R, in terms of t, the number of years since now. b. Seven years from now, what will the oil reserves be? c. If the rate at which the reserves are decreasing is constant, when will the world’s oil reserves be depleted?
New Equation of Change? The tax liability T in dollars, for a company that has an initial tax liability of 6200 is dTdt=0.02T. Here, t is time in years. What would be the equation of change for the tax liability if the initial tax liability were 7000?
Flood Control A river is 8 feet above its flood stage. The water is receding at a rate of 3 inches per hour. Write a mathematical model that shows the number of feet above flood stage after t hours. Assuming the water continually recedes at this rate, when will the river be 1 foot above its flood stage?
Travel Time You are driving on a Canadian freeway to a town that is 500 kilometers from your home. After 30 minutes, you pass a freeway exit that you know is 50 kilometers from your home. Assuming that you continue at the same constant speed, how long does the entire trip take?
Drug Concentration When a drug is administered orally, it takes some time before the blood concentration reaches its maximum level. After that time, concentration levels decrease. When 500 milligrams of procainamide is administered orally, one model for a particular patient gives blood concentration C, in milligrams per liter, after t hours as C=2.65(e0.2te2t) What is the maximum blood-level concentration, and when does that level occur?
In 1991, the moose population in a park wasmeasured to be 4,360. By 1999, the population was measured again to be 5,880. Assume the population continues to change linearly. a. Find a formula for the moose population,P since 1990. b. What does your model predict the meme population to be in 2003?
Power from a Windmill The power P that can be obtained from a windmill is directly proportional to the cube of the wind speed s. (a)Write an equation that expresses this variation. (b) Find the constant of proportionality for a windmill that produces 96 watts of power when the wind is blowing at 20 mi/h. (c) How much power will this windmill produce if the wind speed increases to 30 mi/h?

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