Mrs. smith and her daughter laura want to learn ballet. the cost of beginning ballet classes for kids is $3,200 per year, and it increases by 2% every year. the cost of beginning ballet classes for adults is $4,800 per year, and it increases by 2.7% per year. which function can mrs. smith use to determine the total cost of their ballet classes, t(x), after x years? t(x) = 1,600[2(1.27)x + 3(1.2)x] t(x) = 1,400[2(1.2)x + 3(1.27)x] t(x) = 1,400[2(1.027)x + 3(1.02)x] t(x) = 1,600[2(1.02)x + 3(1.027)x]

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .