You are shopping online for a new TV the new one you want cost $2500 you live in New York where the state sales tax rate is 8.49% your sister lives a short distance over the border in CT where the state sales tax is 6.35% if you have the TV shipped to her and you pick it up how much will you save

$53.50

Step-by-step explanation:

Sales tax in New York at 8.49%

= 2500 * 8.49%

= 212.25

Sales tax in CT at 6.35%

= 2500 * 6.35%

= 158.75

Savings = 212.25 - 158.75 = 53.50

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.