Concept explainers
A company wants to increase the 10% peroxide content of its product by adding pure peroxide (100% peroxide). If
How many liters of pure peroxide should be added to produce a new product that is 28% peroxide?
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST
- Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.arrow_forwardDoes the equation y=2.294e0.654t representcontinuous growth, continuous decay, or neither?Explain.arrow_forwardThe formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.arrow_forward
- A large tank contains 50 gallons of water into which 5 pounds of salt has been dissolved. A solution containing 2 pounds of salt per gallon is pumped into the tank at the rate of 4 gal/min. The well stirred mixture is pumped out at the slower rate of 3 gal/min. Find the number of pounds of salt X(t) in the tank at time t.arrow_forwardSolve for y: x = 4ln(y - 8). 1 4 ln(x - 8) Oy= Oy = x + 8 4 O y = e-4x + 8 O y = 4 ln(x - 8) Oy = ex/4 + 8arrow_forwardWhen 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 = 2.95(e−0.7t − e−7t). What is the maximum blood-level concentration, and when does that level occur? (Round your answers to two decimal places.) maximumconcentration mg/L time hrarrow_forward
- On a monthly basis, when a factory employs L worker-hours of labor, they can produce Q(L) = 7L + 40L/6 scooters. An investment in labor of K dollars gives them an employment level of L(K)=0.055K – 12,500 K worker-hours. The factory currently invests 2,000 dollars in labor. At what rate is the number of scooters being produced changing with respect to the amount they invest in labor? Round your final answer to 2 decimal places and include units with your answer. а.arrow_forwardA shallow reservoir has a one-square-kilometer water surface and an average water depth of 2 meters. Initially it is filled with fresh water, but at time t=0 water contaminated with a liquid pollutant begins flowing into the reservoir at the rate of 400 thousand cubic meters per month. The well-mixed water in the reservoir flows out at the same rate. Your first task is to find the amount x(t) of pollutant (in millions of liters) in the reservoir after t months. The incoming water has a pollutant concentration of c(t) = 20 liters per cubic meter (L/m³). Verify that the graph of x(t) resembles the steadily rising curve shown here, which approaches asymptotically the graph of the equilibrium solution x(t) = 40 that corresponds to the reservoir's long-term pollutant content. How long does it take the pollutant content in the reservoir to reach 10 million liters? x(t) = 40- 30- 20- 10- 0 10 20 tarrow_forwardA shallow reservoir has a one-square-kilometer water surface and an average water depth of 4 meters. Initially it is filled with fresh water, but at time t=0 water contaminated with a liquid pollutant begins flowing into the reservoir at the rate of 500 thousand cubic meters per month. The well-mixed water in the reservoir flows out at the same rate. Your first task is to find the amount x(t) of pollutant (in millions of liters) in the reservoir after t months. The incoming water has a pollutant concentration of c(t) = 30 liters per cubic meter (L/m³). Verify that the graph of x(t) resembles the steadily rising curve shown here, which approaches asymptotically the graph of the equilibrium solution x(t) = 120 that corresponds to the reservoir's long-term pollutant content. How long does it take the pollutant content in the reservoir to reach 24 million liters? instructor 4 T x(t) = G Y H J 8 F7 FB O KL P F9 = F10 F11 ENTER F12 Clear all 3 R 8 1 PG UP 120- 100 80- 60- 40- 20- 04 0 PG DN…arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning