In the following exercises, solve. Round answers to the nearest tenth.
205. A computer store owner estimates that by charging x dollars each for a certain computer, he can sell
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- In the following exercises, solve. Round answers to the nearest tenth. 203. An arrow is shot vertically upward from a platform 45 feet high at a rate of 168 ft/sec. Use the quadratic equation h=16t2+168t+45 to find how long it will take the arrow to reach its maximum height, and then find the maximum height.arrow_forwardIn the following exercises, solve. Round answers to the nearest tenth. 206. A retailer who sells backpacks estimates that, by selling them for x dollars each, he will be able to sell 100x backpacks a month. The quadratic equation R=x2+100x is used to find the R received when the selling price of a backpack is x. Find the selling price that will give him the maximum revenue, and then find the amount of the maximum revenue.arrow_forwardIn the following exercises, solve. Round answers to the nearest tenth. 284. A cell phone company estimates that by charging x dollars each for a certain cell phone, they can sell 8x cell phones per day. Use the quadratic function R(x)=x2+8x to find the revenue received when the selling price of a cell phone is x. Find the selling price that will give them the maximum revenue, and then find the amount of the maximum revenue.arrow_forward
- In the following exercises, solve. Round answers to the nearest tenth. 283. A retailer who sells fashion boots estimates that by selling them for x dollars each, he will be able to sell 70x boots a week. Use the quadratic function R(x)=x2+70x to find the revenue received when the average selling price of a pair of fashion boots is x. Find the selling price that will give him the maximum revenue, and then find the amount of the maximum revenue.arrow_forwardIn the following exercises, solve. Round answers to the nearest tenth. 281. A computer store owner estimates that by charging x dollars each for a certain computer, he can sell 40x computers each week. The quadratic function R(x)=x2+40x is used to find the revenue, R, received when the selling price of a computer is x, Find the selling price that will give him the maximum revenue, and then find the amount of the maximum revenue.arrow_forwardIn the following exercises, solve. Round answers to the nearest tenth. 208. A veterinarian is enclosing a rectangular outdoor running area against his building for the dogshe cares for. He needs to maximize the area using 100 feet of fencing. The quadratic equation A=x(1002x) gives the area, A, of the dog run for the length, x, of the building that will border the dog run. Find the length of the building that should border the dog run to give the maximum area, and then find the maximum area of the dog run.arrow_forward
- In the following exercises, solve. Round answers to the nearest tenth. 282. A retailer who sells backpacks estimates that by selling them for x dollars each, he will be able to sell 100x backpacks a month. The quadratic function R(x)=x2+100x is used to find the R, received when the selling price of a backpack is x. Find the selling price that will give him the maximum revenue, and then find the amount of the maximum revenue.arrow_forwardIn the following exercises, solve. Round answers to the nearest tenth. 285. A rancher is going to fence three sides of a corral next to a river. He needs to maximize the corral area using 240 feet of fencing. The quadratic equation A(x)=x(2402x) gives the area of the corral, A, for the length, x, of the corral along the river. Find the length of the corral along the river that will give the maximum area, and then find the maximum area of the corral.arrow_forwardIn the following exercises, solve. Rounding answers to the nearest tenth. 496. A ball is thrown upward from the ground with an initial velocity of 112 ft/sec. Use the quadratic equation h=16t2+112t to find how long it will take the ball to reach maximum height, and then find the maximum height.arrow_forward
- In the following exercises, determine the number of solutions for each quadratic equation. 452. (a) 5x27x8=0 (b) 7x210x+5=0 (c) 25x290x+81=0 (d) 15x28x+4=0arrow_forwardSolve the equation x2+10x=200 (a) by completing the square (b) using the Quadratic Formula (c) Which method do you prefer? Why?arrow_forwardIn the following exercises, solve. Rounding answers to the nearest tenth. 322. A daycare facility is enclosing a rectangular area along the side of their building for the children to play outdoors. They need to maximize the area using 180 feet of fencing on three sides of the yard. The quadratic equation A=2x2+180x gives the area, A, of the yard for the length, x, of the building that will border the yard. Find the length of the building that should border the yard to maximize the area, and then find the maximum area.arrow_forward
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell