Course Material... 3.5 Homework - Systems of Equations - MATH 1301 Summ... ChatGPT The airspeed of a plane is its speed in the absence of wind. With a headwind, ground speed (the actual speed in relation to the ground) is decreased by the speed of the wind. With a tailwind, ground speed is increased by the speed of the wind. Let A denote the airspeed of a plane and W the speed of the wind, both in miles per hour. Suppose it takes the plane 9 hours to travel the 900 miles from one town to anothe facing a headwind of W. The return trip, now with a tailwind of W, takes only 6 hours. (a) Express the ground speed on the trip out in terms of A and W. (b) Use the information from part (a) and the fact that distance equals rate times time to find an equation involving A and W for the trip out. (c) Express the ground speed on the return trip in terms of A and W. (d) Use the information from part (c) and the fact that distance equals rate times time to find an equation involving A and W for the return trip. (e) Find the airspeed and the speed of the wind. A = W = Need Help? Read It Submit Answer 5. [-/2 Points] DETAILS MY NOTES CRAUDCOLALG6 3.5.EX.019. PRACTICE ANOTHER A business has a gross income of $1.14 million. It has promised to pay the CEO a bonus of 20% of net income, which is income after taxes. But the bonus is not subject to taxes because the bonus is an operating expense. The total tax owed is 20% of gross income less the bonus. Our goal is to find the company profit after the bonus and taxes are paid. Let B be the amount on which the bonus is based, and let T be the amount on which taxes are calculated, both in millions of dollars. (a) Express the taxes paid in terms of the variable T. n which the bonus is based plus the taxes paid. Express this as an equation involving T and B. (Part (a) may be helpful.)