1) Reflecting over y=x means
. So, the coordinates of the image are:
![V(-3, 0) \longrightarrow V'(0,-3)\\\\W(-1,0) \longrightarrow W'(0, -1)\\\\U(-2,-5) \longrightarrow U'(-5,-2)\\\\X(3,-3) \longrightarrow X'(-3, 3)](https://tex.z-dn.net/?f=V%28-3%2C%200%29%20%5Clongrightarrow%20V%27%280%2C-3%29%5C%5C%5C%5CW%28-1%2C0%29%20%5Clongrightarrow%20W%27%280%2C%20-1%29%5C%5C%5C%5CU%28-2%2C-5%29%20%5Clongrightarrow%20U%27%28-5%2C-2%29%5C%5C%5C%5CX%283%2C-3%29%20%5Clongrightarrow%20X%27%28-3%2C%203%29)
2) Rotating 90 degrees counterclockwise about the origin means
, so the vertices of the image are:
![W(0,-1) \longrightarrow W'(1,0)\\\\X(3,-1) \longrightarrow X'(1, 3)\\\\V(0,-3) \longrightarrow V'(3,0)\\\\Y(1, -5) \longrightarrow Y'(5, 1)](https://tex.z-dn.net/?f=W%280%2C-1%29%20%5Clongrightarrow%20W%27%281%2C0%29%5C%5C%5C%5CX%283%2C-1%29%20%5Clongrightarrow%20X%27%281%2C%203%29%5C%5C%5C%5CV%280%2C-3%29%20%5Clongrightarrow%20V%27%283%2C0%29%5C%5C%5C%5CY%281%2C%20-5%29%20%5Clongrightarrow%20Y%27%285%2C%201%29)
3) The vertices of the image are:
![C(2,0) \longrightarrow C'(-2, -2)\\\\D(2, 5) \longrightarrow D'(-2, 3)\\\\E(5,4) \longrightarrow E'(1, 2)](https://tex.z-dn.net/?f=C%282%2C0%29%20%5Clongrightarrow%20C%27%28-2%2C%20-2%29%5C%5C%5C%5CD%282%2C%205%29%20%5Clongrightarrow%20D%27%28-2%2C%203%29%5C%5C%5C%5CE%285%2C4%29%20%5Clongrightarrow%20E%27%281%2C%202%29)
Answer:
x = 20
Step-by-step explanation:
solve for x by simplifying both sides of the equation, then isolating the variable
You would put 151 dollars in your account at October.
16+15+15+15+15+15+15+15+15+15=151
Circumference = 2 x PI x r = 2 x 3.14 x 10 = 62.8
97/360 x 62.8 = 16.92
arc length = 16.92 ( round answer as needed)
Using the I=PRT formula, you can plug in some things we already know.
We know the principal, which is 43,200, we know the interest rate per year, and we finally know how much time he is going to have his money in there. But, he wants 4 months, and 4 months is 1/3 of the whole year, so we are going to use that to plug it in our formula. Now, we have
This equals to 2016.
But this is not our final answer. 2016 is just the amount of money he earned in those 4 months, not his whole savings, so we add 2016 to 43200 to get 45216