a snow-cone machine priced at $139 is on sale for 20% off. The sales tax rates 6.75%. What is the price of sno-cone machine after the discount and sales tax

$118.706 or rounded to $118.71

Step-by-step explanation:

Since it is on sale, find the discount price. $139 * 0.8 = 111.20

I used 0.8 because you got 20% off so it is only 80% of original price or 0.8 of original price.

Then 111.20 * (1.0675) = $118.706 or rounded to $118.71.

Tax is 6.75% or 0.0675. It is on top of the discount price, so use 1.0675.

Alternatively you can find 0.0675 * 111.20 and add that to 111.20 and still get the same answer.

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be