The piecewise function below models a portion of the tax brackets for a particular State. Let x be the amount of taxable income.
f(x) =
0.15x
Osxs 20,000
2,917.50 +0.20(x - 20,000) 20,000 < x < 50,000
8,917.50 +0.25(x - 50,000) 50,000 < x < 100,000
21,417.50 +0.30(X-100,000)
X > 100,000
Determine the tax for a person with taxable income of $82,450.

Atravel agent is booking a trip to england, scotland, ireland, and france for a group of senior citizens. the agent sent surveys to the group, asking which countries they would like to visit, in order, and created the shown preference schedule (e = england, i = ireland, s = scotland, f = france). which country is the condorcet winner? number of votes 15 12 16 19 1st f e e i 2nd e s i s 3rd s i s e 4th i f f f 1. scotland 2. england 3. france 4.ireland