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.

Asquare picture with sides of 32 inches is to be mounted on a square mat with sides of 52 inches. find the area of the mat that will remain uncovered by the picture.

(c) the diagram shows the first three shapes of a matchsticks arrangement. first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.

Is the underlined participial phrase correctly placed or misplaced? i smelled each and every flower strolling through the garden. a. correctly placed participial phrase b. misplaced participial phrase