Felix and Freddie are married with annual taxable income of $230,000. They pay income tax according to the following schedule: OverBut Not OverTax Rate $0$43,85015% $43,850$105,950??? $105,950$361,45031% If the total personal income tax they pay is $58,074, which of the following comes closest to the tax rate for income between $43,850 and 105,950 (the middle tax rate)? a. 21%
b. 24%
c. 25%
d. 225
e. 23%

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

Suppose there are three types of consumers who attend concerts at your university’s performing arts center: students, staff, and faculty. each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. there is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs. for each concert: i. there are 140 students willing to pay $20. (ii) there are 200 staff members willing to pay $35. (iii) there are 100 faculty members willing to pay $50. a) if the performing arts center can charge only one price, what price should it charge? what are profits at this price? b) if the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits? c) if the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?

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