At the beginning of the year, Sadie had $70 in savings and saved an additional $18 each week thereafter. Jack started the year with $90 and saved $14 every week. Let S S represent the amount of money Sadie has saved t t weeks after the beginning of the year and let J J represent the amount of money Jack has saved t t weeks after the beginning of the year. Write an equation for each situation, in terms of t , t, and determine the amount of money Sadie and Jack have saved in the week that they have the same amount of money saved.

Step-by-step explanation:

Step one:

For Sadie

initial savings balance= $70

weekly savings = $18

Let S represent the amount of money Sadie has saved

and  t the number of weeks after the beginning of the year

The total amount in savings after t weeks is

S=18t+701

For Jack

initial savings balance= $90

weekly savings = $14

Let J represent the amount of money Jack has saved

and  t the number of weeks after the beginning of the year

The total amount in savings after t weeks is

J=14t+902

Step two

equation 1 and 2 to find t

18t+70=14t+90

18t-14t=90-70

4t=20

divide both sides by 4

t=20/4

t=5 weeks

so after 5 weeks Sadie and Jack will have the same amount of money

For Sadle t=5

S=18(5)+701

S=90+70

S=$160

For Jack t=5

J=14(5)+902

J=70+90

J=160

The two equations above shows that after 5 weeks their savings will be $160

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

alright well the answers to your question is

2xy/9 hope this have a nice day : )

step-by-step explanation: