Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1181585: When tickets at a dance cost $4, the expected attendance is 300 people. for every $0.10 increase in ticket price, the dance committee projects that the attendance will decrease by 5 people. what would be the maximum revenue? what ticket price would maximize the revenue?
Click here to see answer by Edwin McCravy(20054)   |
Question 1181718: Suppose that the population of a town is given by P = 0.16t^2 + 7.2t +100 where P is the population in thousands and t is the time in years, with t = 0 representing the year 2000.
a) What was the population in 2010?
Click here to see answer by htmentor(1343)  |
Question 1181719: The safe stopping distance, d, in metres, for a boat travelling at v km/h in calm water is determined to be d = 0.002 (2v + 10v + 3000) .
a) What is the safe stopping distance if the speed is 12 km/h?
b) What is the initial speed of the boat if it takes 15 m to stop?
Click here to see answer by ikleyn(52752)  |
Question 1181725: The safe stopping distance, d, in metres, for a boat travelling at v km/h in calm water is determined to be d = 0.002 (2v^2 + 10v + 3000) .
a) What is the safe stopping distance if the speed is 12 km/h?
b) What is the initial speed of the boat if it takes 15 m to stop?
Click here to see answer by Boreal(15235)  |
Question 1181717: An Acapulco cliff diver dives into the sea from a height of 35 m. His height, h, in meters t
seconds after leaving the cliff is given by the equation h=-4.9t^2 + t + 35
a) Find the diver’s initial height.
b) Find the diver’s height after 1.5 seconds.
c) How long is it until the diver reaches the water? Round answer to the nearest hundredth.
Click here to see answer by Boreal(15235) |
Question 1181905: A sticker warehouse sells an average of 6 rolls of stickers per customer at $4 per roll. Statistics show that for every $0.25 decrease in price, customers will buy an additional roll. According to this model, at what sticker price will the revenue from stickers be $28.
Click here to see answer by Theo(13342)  |
Question 1181908: A rocket is launched straight upwards with an initial velocity of 80 m/s. The height of the rocket, h, in metres, can be modelled by h = -5t^2 + 80t, where t is the elapsed time in seconds.
a) Sketch a graph that shows the height of the rocket versus time (Label the following y-intercept,
vertex, x-intercepts).
b) After how many seconds does the ball hit the ground?
c) What is the maximum height reached by rocket? When does it reach this height?
d) How long does it take for the rocket to reach a height of 275 m?
Click here to see answer by Boreal(15235) |
Question 1182079: a chef is going to use a mixture of two brands of Italian dressing. the first brand contains 9% vinegar, and the second brand contains 14%vinegar. the chef wants to make 270 milliliters of a dressing that is 11%vinegar. how much of each brand should she use?
Click here to see answer by josgarithmetic(39613) |
Question 1182079: a chef is going to use a mixture of two brands of Italian dressing. the first brand contains 9% vinegar, and the second brand contains 14%vinegar. the chef wants to make 270 milliliters of a dressing that is 11%vinegar. how much of each brand should she use?
Click here to see answer by MathTherapy(10549)  |
Question 1182079: a chef is going to use a mixture of two brands of Italian dressing. the first brand contains 9% vinegar, and the second brand contains 14%vinegar. the chef wants to make 270 milliliters of a dressing that is 11%vinegar. how much of each brand should she use?
Click here to see answer by greenestamps(13195)  |
Question 1182049: The fireworks shoot off to the east from the launchpad at an angle of 65 with the ground. Elora is standing 290 feet to the west of the launchpad. Elora sees the fireworks at an angle of elevation of 40. What is the height of the fireworks when they explode
Click here to see answer by mananth(16946)  |
Question 1182352: The path of water from a hose on a fire tugboat can be approximated by the equation
y = −0.0045x^2 + 1.25x + 5,
where y is the height, in feet, of the water above the ocean when the water is x feet from the tugboat. When the water from the hose is 7 feet above the ocean, at what distance from the tugboat is it? Round answer to nearest hundredth.
Click here to see answer by ikleyn(52752) |
Question 1182486: A twin engine pontoon boat can cross the river in 18 hours when both engines are operating. It takes 27 hours longer for the boat to cross the river using only engine one than it does when using only engine two. How long would it take each engine working alone to power the boat so it can cross the river? Use lowercase variable t for time and write a quadratic equation to model this problem.
Click here to see answer by josgarithmetic(39613) |
Question 1182486: A twin engine pontoon boat can cross the river in 18 hours when both engines are operating. It takes 27 hours longer for the boat to cross the river using only engine one than it does when using only engine two. How long would it take each engine working alone to power the boat so it can cross the river? Use lowercase variable t for time and write a quadratic equation to model this problem.
Click here to see answer by mananth(16946) |
Question 1182486: A twin engine pontoon boat can cross the river in 18 hours when both engines are operating. It takes 27 hours longer for the boat to cross the river using only engine one than it does when using only engine two. How long would it take each engine working alone to power the boat so it can cross the river? Use lowercase variable t for time and write a quadratic equation to model this problem.
Click here to see answer by ikleyn(52752) |
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