If you rent a car for one day and drive it for 100 miles, the cost is $40.00. If you drive it 220 miles, the cost is $46.00. What are the data points given?

Answers

Answer 1

Answer: The given data points are (100, 40) and (220, 46).

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Knowing that a 6.2% Social Security tax is applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year is:

Answers

Take 6.2% of 106,800

.062 × 106800=

$6,621.60

Answer:

Step-by-step explanation:

Option D is the right choice.

Step-by-step explanation:

The current Social Security tax is 6.2%

Given maximum taxable earnings = $106800. This means the social security tax will be calculated on a maximum amount of $106800.

Social security tax on $23660 =

Social security tax on $89000 =

Social security tax on $106800 (maximum earnings) =

So, these values fall under option D. Hence, option D is the right choice.

Which of these equations represent functions? Check all that apply.A. y = (x - 2)^2 + 5
B. x^2 - 4y^2 = 1
C. y = 3x - 3
D. y = 4x^5

Answers

A is quadratic function
B is equation of a circle
C is equation of a line
D is hiperbolic funciotn

IF the navy pier ferris wheel in chicago has a circumference that is 56% of the circunference of the first ferris wheel built in 1893. a. What is the radius of the navy pier wheel?
b. what was the radius of the first ferris wheel?
c. The first ferri wheel took nine minutes to make a complete revolution. how fast was the wheel moving?

Answers

Answer:

a. The radius of the navy pier wheel is 56% of the radius of the first ferris wheel

b. The radius of the first ferris wheel was 179% of the radius of the navy pier ferris wheel

c. The wheel was moving at 0.70 $(rad)/(min)$

Step-by-step explanation:

Navy pier wheel circumference = Cn

First ferris wheel circumference = Cf

Cn = 0.56*Cf

Circumference Perimeter = 2*π*Radius

Navy pier wheel radius = Rn

First ferris wheel radius = Rf

Cn = 0.56*Cf

2*π*Rn = 0,56*2*π*Rf (equation 1)

dividing both sides by 2π

Rn = 0,56*Rf

From equation 1

2*π*Rn = 0,56*2*π*Rf

dividing both sides by 2π

Rn = 0.56*Rf

dividing both sides by 0.56

Rf = $(1)/(0.56)$ *Rn

Rf = 1.79*Rn

9 minutes / revolution

1 revolution = 2π radians

The wheel makes 2π radians in 9 minutes

Wheel velocity = $(2\pi )/(9) (rad)/(min)$

Wheel velocity = 0.70 $(rad)/(min)$

What is 782,444 rounded to the nearest hundred thousand

Answers

782,444 rounded to the nearest hundred thousand would be 800,000.

This is because we know that the hundred thousands place has a 7 in it, so it would be 700,000. However, because 8 is greater than 5, we have to round up instead of down.

Hope this helps!

The cheerleaders are practicing a dance routine in which all 36 of them need to be in a triangular formation. there will be two more cheerleaders in each row than the previous row. how many rows will be in the formation

Answers

If you start with 1 cheerleader in row A, then you'll have 3 cheerleaders in row B (add on 2), and then 5 cheerleaders for row C (add on another 2), etc etc.

Note how: 1+3+5 = 4+5 = 9 which is a perfect square. Also note that 36 is a perfect square.

Rule: The sum of the first positive n odd numbers is going to be equal to n^2. In the example of adding the first three odd numbers (1,3,5), we have n^2 = 3^2 = 9 as the sum

So as you can see, we'll have n = 6 rows because n^2 = 6^2 = 36 and

1+3+5+7+9+11 = 36

which is the sum of the first six positive odd numbers. So we'll have 1 cheerleader in row A, 3 in row B, 5 in row C, 7 in row D, 9 in row E, 11 in row F to have 6 rows total.

Final answer:

To determine the number of rows in the triangular formation, set up an equation and solve for x. The number of rows is 6.

Explanation:

To determine the number of rows in the triangular formation, we can set up a series of equations.

Let x be the number of rows.

The first row will have 1 cheerleader, the second row will have 3 cheerleaders, the third row will have 5 cheerleaders, and so on.

We can set up the equation: 1 + 3 + 5 + ... + (2x-1) = 36.

This is the sum of an arithmetic sequence with a common difference of 2. Solving for x, we get x = 6.

Therefore, there will be 6 rows in the formation.

Learn more about Number of rows in triangular formation here:

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You are choosing between two health clubs. Club A offers membership for a fee of $ 14 $14 plus a monthly fee of $ 15. $15. Club B offers membership for a fee of $ 18 $18 plus a monthly fee of $ 14. $14. After how many months will the total cost of each health club be the same? What will be the total cost for each club?