Parallelogram abcd is reflected over the y-axis, followed by a reflection over the x-axis, and then rotated 180 degrees about the origin. what is the location of point a after the transformations are complete?

(-5,1)

Step-by-step explanation:

Pay attention to one point.

Point A starts as (-5,1).

Then you reflect just that point over the y-axis making it a Positive point. ((5,1))

Then you reflect just that point over the x-axis making it Positive, negative point ((5,-1))

Last, you rotate it 180 degrees that mapping rule is (x,y) becomes (-x,-y).

So (5,-1) has to be negitive on both sides. BUT the one is already negitive and a - and a - equals a +.

So it becomes (-5,1)

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720