The percent concentration P of salt in a particular salt water solution depends on the number of grams x of salt that are added to the solution and is P(x) = 100x + 100 x + 10 . (a) the original percent concentration of salt? % (b) What is the percent concentration of salt after 8 more grams of salt are added? %

The percent concentration P of salt in a particular salt water solution depends on the number of grams x of salt that are added to the solution and is P(x) = 100x + 100 x + 10 . (a) the original percent concentration of salt? % (b) What is the percent concentration of salt after 8 more grams of salt are added? %

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 58E

See similar textbooks

(a)

the original percent concentration of salt?

(b)

What is the percent concentration of salt after 8 more grams of salt are added?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Trending now

This is a popular solution!

Step by step

Solved in 1 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Food Consumption The average daily food consumption F of a herbivorous mammal with body weight x, where both F and x are measured in pounds, is given approximately by the equation F=0.3x34. Find the weight x of an elephant that consumes 300 lb of food per day
A 1313‑billion‑bushel corn crop brings a price of $2.2/bushel. A commodity broker uses the following rule of thumb: If the crop is reduced by x percent, then the price increases by 10x cents. Which crop size results in maximum revenue and what is the price per bushel? Revenue is equal to price times crop size.
A company has installed new machinery that will produce a savings rate (in thousands of dollars per year) ofS′(x) = 225 - x2,where x is the number of years the machinery is to be used. The rate of additional costs (in thousands of dollars per year) to the company due to the new machinery is expected to beC′(x) = x2 + 25x + 150.For how many years should the company use the new machinery? Find the net savings (in thousands of dollars) over this period.
Solve for g'(x)?
A study indicates that spending money on pollution control is effective up to a point but eventually becomes wasteful. Suppose it is known that when x million dollars is spent on controlling pollution, the percentage of pollution removed is given by P(x) = (100 √x) / (0.03x² + 9 )(i) At what rate is the percentage of pollution removal P (x) changing when 16 million dollars is spent? Is the percentage increasing or decreasing at this level of expenditure? (ii) For what values of x is P (x) increasing?(iii) For what values of x is P (x) decreasing
A company's revenue from selling xx units of an item is modeled by R=3750x−x^2. If sales are increasing at the rate of 7 units per month, at what rate is revenue increasing (in dollars per month) when 35 units have been sold?
Drug Use The percent of high school students who have ever used marijuana is given byy = -0.1967x2 + 4.063x + 27.7455, where x is thenumber of years after 1990. Use the model to estimate the years when the percent who ever used marijuana is greater than 43.1%.
Solve for (g*f)(-3)
A company's revenue from selling x units of an item is given as R=1800x−3x^2. If sales are increasing at the rate of 40 units per day, how rapidly is revenue increasing (in dollars per day) when 210 units have been sold?
In a town of 50,000 people, there were initially 80 cases of a particularly virulent strain of flu.The Center for Disease Control and Prevention in Atlanta claims that the cumulative number of infections will increase by 30% per week if there are no limiting factors. The cumulative number of cases of flu in the town is given by f(x)= L/(1+Ae^(-Bx)) cases, x weeks since the initial outbreak. Complete the model by finding the values for L, A, and B: A) What is the limiting value for f(x)? B) What is the initial value for f(x)? C) Use the values from A and B to find the value of the constant A in the model f(x).
A minute ad during a campaign in 1973 cost $200,000. The price tag for a 30-second ad slot during a 2006 campaign was $3 million. The cost of a 30-second slot of advertising for a campaign can be modeled by y=0.00009671.103x, where x is the number of years after 1900 and y is the cost in millions. Complete (a) and (b) below. a. According to the model, what was the cost of a 30-second campaign ad in 2005? The cost of a 30-second campaign ad in 2005 was $nothing. (Simplify your answer. Round to the nearest dollar as needed.)
Average cost. Tongue-Tied Sauces, Inc., finds that the cost, in dollars, of producing x bottles of barbecue sauce is given by C(x) =375+0.75x^3/4. Find the rate at which average cost is changing when 81 bottles of barbe-cue sauce have been produced.