Anne plans to increase the prices of all the items in her store by 5%. to the nearest cent, how much will the artist save if the artist buys a canvas and a frame that each measure 24 by 36 inches before the price increase goes into effect

Step-by-step explanation:

Let the cost of canvas be $x per sq inches.

Measurement of the canvas bought by the artist is

24 × 36 inches

Area of canvas = 24×36= 864 sq inches

Cost of canvas = 864x

New cost of canvas =x+5% of x

=x+0.05x

=1.05x

New Cost of canvas = 907.20x

Increase in price=907.20x-864x=43.2x

Percentage =

= 5%

Hence artist is going save 5% of cost by buying sheet today.

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.

the answer to this question is in the pic