MATHEMATICS HIGH SCHOOL

The average annual cost of living in Illinois, California, and Oregon are displayed inthe table below:
3
6
State
Average Annual Cost of
Living
9
Illinois
$58,000
California
$70,000
1
Oregon
$64,000
Suppose you are earning a salary of $95,000 per year in California. Your employer
asks you to transfer to the Oregon office. Based on the average annual cost of living,
what is the lowest possible salary you will accept? Round your answer to the nearest
whole dollar. Explain your reasons.

Answers

Answer 1
Answer: $89000 cause the cost of living in oregon is $6000 less
Answer 2
Answer:

Final answer:

The lowest possible salary you should accept based on the average annual cost of living would be $86,848 in Oregon, rounding to the nearest whole dollar.

Explanation:

To determine the lowest possible salary, we must first look at your purchasing power in California, and then determine what salary would give you the same purchasing power in Oregon. Your purchasing power can be thought of as your income divided by the cost of living.

So, in California your purchasing power is $95,000 / $70,000 = 1.357.

To find out your equivalent salary in Oregon, we can multiply this by the cost of living in Oregon: 1.357 x $64,000 = $86,848.

Therefore, to have the same purchasing power as you currently do in California, you would need a salary of at least $86,848 in Oregon. Rounding to the nearest whole dollar would make it $86,848.

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Solve the equation.
1) 2(1.5n + 4) -6n= -7

2) 5s - 2 + 3 (s - 11) = 5

Answers

I hope this helps you

Solve using substitution. (C&D)
2C+3D=1
-3C+D=15

Answers

Equation 2
-3c+d=15
d=15+3c

Substitute into eq 1
2c+3(15+3c)=1
2c+45+9c=1
11c=-44
c=-44/11

c=-4

Sub into eq 1

2(-4)+3d=1
-8+3d=1
3d=9
d=9/3

d=3

Verify:
2(-4)+3(3)=1
-8+9=1
1=1 -- True.
  2c + 3d =  1 ⇒ 2c + 3d = 1      ⇒ 2c + 3d = 1
-3c +  d = 15 ⇒ 3(-3c + d) = 15 ⇒ -9c + 3d = 15
                                                               -7c = 16
                                                               -7c = 16
                                                               -7      - 7
                                                                 c = -2 2/7
                                                       2(2 2/7) + 3d = 1
                                                           4 4/7 + 3d = 1
                                                          -4 4/7           -4 4/7
                                                                       3d = -3 4/7
                                                                       3d = -3 4/7
                                                                        3          3
                                                                         d = -1 4/21
                                                                   (c, d) = (-2 2/7, -1 4/21)

12 divided by what equals -2

Answers

Ans : -2*-6=12
-+-=+

Express on simplest form in terms of i: sqrt-16

Answers

√(-16)=√(-1\cdot16)=√(-1)\cdot√(16)=i\cdot4=4i

How do I make these points (3,-5)(-5,3) into a point slope form equation that contains the given points

Answers

General\ equation\ for\ line\ in\ slope\ intercept\ form:\n\ny=ax+b\n\nTo\ find\ a\ and\ b\ substitude\ points\ (3,-5),\ (-5,3)\ into\ equation\n\n \left \{ {{-5=3a+b}\ \ \ \ \atop {3=-5a+b\ |*-1}} \right.\n\n \left \{ {{-5=3a+b} \atop {-3=5a-b}} \right. \n+----\n\n-8=8a\ \ \ |:8\na=-1\n\n-5=3\cdot(-1)+b\n-5=-3+b\n-5+3=b\nb=-2\n\ny=-x-2
Steps:
1. First you have to find the slope
3+5= 8 -5-3=-8 Your slope is -1
2. You plug in one of the points into the point slope form
Y1-Y2=m(x-x1)
Y-3=-1(x+5)
Y-3=-1x+-5
3. Then, you add three to each side
Y=-1x+ (-2)

The waiter places a bowl of soup in front of Igor. In a counterclockwise direction, he passes the soup to Elan who then passes it to Abbey. Which two rotations about the center of the table describe passing the soup?
A) first 80° and then 80°
B) first 120° and then 120°
C) first 144° and then 144°
D) first 160° and then 160°

Answers

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