A certain country taxes the first $22,000 of an individual's income at a rate of 10%, and all income over $22,000 is taxed at 25%. Find a piecewise-defined function T that specifies the total tax on an income of x dollars. (Simplify your answer completely.)

T = {$0.01a     if a ≤ $22000

      $(0.25a - 3300)    if a > $22000}

Step-by-step explanation:

A country taxes the first $22000 of an individual's income at 10%.

If the income of an individual is = $a.

Tax up-to $22000 will be

= a ×

= $0.01a

Above $22000 tax deducted will be

= (a - 22000)×

= 0.25a - 5500

= $(0.25a - 5500)

Total tax 'T' = 0.25a - 5500 + 2200

T = $(0.25a - 3300)

Piece-wise function will be  

T = {$0.01a     if a ≤ $22000

      $(0.25a - 3300)    if a > $22000}

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.