SuperTech Appliances has a markup rate of 225%. They just purchased an order of microwaves that resulted in them paying $39.50 for each øne. The store has to include a 8.875% sales tax. What would a new HDTV cost after the taxes have been included?

a) $ 9.50

b) 17

c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.

d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.

f)

domain; [0,24]

range; [0,12]

g) x + 2y = 24

step-by-step explanation:

a)

if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;

y = -.50x + 12

y = -0.50(5) + 12

y = 9.50

b)

if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;

y = -.50x + 12

3.50 = -0.50x + 12

0.50x = 12 - 3.50

0.5x = 8.5

x = 17

c)

the function given is   y = -.50x + 12.

the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;

y = -0.50(0) + 12

y = 12

the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.

d)

the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;

0 =   -.50x + 12

0.5x = 12

x = 24

x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e)

the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.

joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.

f)

domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.

on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.

g)

the standard form of the equation of a straight line is;

ax + by = c

where a, b, and c are integers.

our equation is given as;

y = -.50x + 12

re-writing the equation we have;

0.5x + y = 12

divide all through by 0.5;

x + 2y = 24

the radius is multiplied by √6.

step-by-step explanation:

if a circle has a radius of 10.9 cm and the area is multiplied by 6, the radius is multiplied by √6.

answer: 25 years

step-by-step explanation:

divided 100 by 0.04

ok , let me start from the meaning of word translation .

translation means moving an object by a certain distance in any direction.

the nature of the object i.e shape, size does not change. neither the figure is

reflected, nor rotated.

as δ abc is translated, it is not given it is translated in which direction

so,(2,-7) lies in fourth quadrant.

if translation of t units is applied to the coordinates of b (2,-7) i.e x in right direction,and y in up   then new coordinates, b'=(2+t, -7+t)

if translation of t units is applied to the coordinates of b(2,-7) i.e x in right direction,and y in down   then new coordinates, b'=(2+t, -7-t)

if translation of t units is applied to the coordinates of b(2,-7) i.e x in left direction,and y in up   then new coordinates, b'=(2-t, -7+t)

if translation of t units is applied to the coordinates of b(2,-7) i.e x in left direction,and y in down   then new coordinates, b'=(2-t, -7-t)