Use the table to solve.

One possible soluton to a din rishing Social Security payroll is to increase the Social Security tax by 1 89% an increase effect

hjlf

The answer is 102060 because if you multiply 54000 by 1.89 you get 102060

4 0

4 years ago

SOMEONE PLEASE HELP I WILL GIVE BRAINLIEST!

Scorpion4ik [409]

1. X = -2 or 3 2. X = -5 or 3 3. X = -2.5 or 3 4. X = -4 or 2 5. X = 3 or -3 6. X = -4 or 2 I am assuming that you're looking for the intersections between the two equations for each problem. The general approach to each of the given problems is to solve both equations for y (only need to do this with problems 4 through 6 since you've already been given the equations solved for y with problems 1 through 3). After you have two equations solved for y, simply set them equal to each other and then manipulate until you have a quadratic equation of the form: Ax^2 + Bx + C = 0 After you've gotten your quadratic equation, just find the roots to the equation and you'll know both X values that will result in the same Y value as the equations you've been given for each problem. I'm personally using the quadratic formula for getting the desired roots, but you can also factor manually. So let's do it. 1. y = x+2, y = x^2 - 4 Set the equations equal to each other x + 2 = x^2 - 4 2 = x^2 - x - 4 0 = x^2 - x - 6 Using the quadratic formula with A=1, B=-1, C=-6, you get the solutions -2 and 3. 2. y = x^2 + 3x - 1, y = x+14 Same thing, set the equations equal to each other. x^2 + 3x - 1 = x + 14 x^2 + 2x - 1 = 14 x^2 + 2x - 15 = 0 Use the quadratic formula with A=1, B=2, C=-15. Roots are -5 and 3. 3. y = 2x^2 + x - 7, y = 2x + 8 Set the equations equal to each other again. 2x^2 + x - 7 = 2x + 8 2x^2 - x - 7 = 8 2x^2 - x - 15 = 0 Quadratic formula with A=2, B=-1, C=-15, gives you the roots of -2.5 and 3 4. y = x(x + 3), y - x = 8 A little more complicated. Solve the second equation for y y - x = 8 y = x + 8 Multiply out the 1st equation y = x(x + 3) y = x^2 + 3x Now set the equations equal to each other x + 8 = x^2 + 3x 8 = x^2 + 2x 0 = x^2 + 2x - 8 And use the quadratic formula with A=1, B=2, C=-8. Roots are -4, 2 5. y = -3x^2 - 2x + 5, y + 2x + 22 = 0 Solve the 2nd equation for y y + 2x + 22 = 0 y + 22 = -2x y = -2x - 22 Set equal to 1st equation -2x - 22 = -3x^2 - 2x + 5 -22 = -3x^2 + 5 0 = -3x^2 + 27 Use the quadratic formula with A=-3, B=0, C=27, giving roots of 3 and -3 6. y + 6 = 2x^2 + x, y + 3x = 10 Solve the 1st equation for y y + 6 = 2x^2 + x y = 2x^2 + x - 6 Solve the 2nd equation for y y + 3x = 10 y = -3x + 10 Set the solved equations equal to each other 2x^2 + x - 6 = -3x + 10 2x^2 + 4x - 6 = + 10 2x^2 + 4x - 16 = 0 Use the quadratic formula with A=2, B=4, C=-16, getting roots of -4 and 2.

3 0

3 years ago

Read 2 more answers

The volume of a cube is 125 cubic inches. What is the length of one side of the cube?

docker41 [41]

The side length of the cube is 5in.

4 0

3 years ago

Margo bought a tree that grows 2.5cm each day.The tree was 5cm tall when she got it.It is now 65cm tall.How long has Margo owned

gavmur [86]

24 days. it has grown 60 cm, because when she got it, it was already 5 cm. So, it grows 2.5 cm each day, so divide 65 cm by 2.5 and you get the answer, 24 days.

7 0

4 years ago

Based on information from a large insurance company, 67% of all damage liability claims are made by single people under the age

svetoff [14.1K]

Answer:

We conclude that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company.

Step-by-step explanation:

We are given that based on information from a large insurance company, 67% of all damage liability claims are made by single people under the age of 25.

A random sample of 52 claims showed that 43 were made by single people under the age of 25.

Let p = population proportion of claims made by single people

So, Null Hypothesis, $H_0$ : p $\leq$ 67% {means that the insurance claims of single people under the age of 25 is smaller than or equal to the national percent reported by the large insurance company}

Alternate Hypothesis, $H_A$ : p > 67% {means that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company}

The test statistics that will be used here is One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of claims made by single people under the age of 25 = $\frac{43}{52}$ = 0.83

n = sample of claims = 52

So, the test statistics = $\frac{0.83-0.67}{\sqrt{\frac{0.67(1-0.67)}{52} } }$

= 2.454

The value of z-test statistics is 2.454.

Since in the question, we are not given the level of significance so we assume it to be 5%. Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since the value of our test statistics is more than the critical value of z as 2.454 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company.

6 0

4 years ago