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docker41 [41]
3 years ago
8

This chart shows the total average monthly cost of medical insurance benefits for employees working in the private sector in mar

ch 2006. for single coverage, the cost is $322.77, and for family coverage, it is $889.26. if an employee makes $10 per hour (after withholdings) and has to pay the full cost of single coverage medical insurance, about how many hours will he or she have to work each month simply to pay for the cost of the medical insurance
Mathematics
1 answer:
marusya05 [52]3 years ago
4 0
It is given in this item that the subject of interest has to pay the single coverage for the medical insurance and is given to be equal to $322.77. 

Let x be the number of hours that a person should work in order to pay for the cost of the medical insurance. The value of this variable is calculated by dividing the total insurance cost by the amount that a person earns every hour.

                             x = $322.77 / ($10/hr)
                             x = 32.277 hours

Therefore, the number of hours that a person should work is equal to 32.277 which is approximately equal to 32 hours and 17 minutes. 
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3 years ago
The point B(1, 1) is rotated 90° counterclockwise around the origin. What are the co
Thepotemich [5.8K]

Given that the point B is (1,1) is rotate 90° counterclockwise around the origin.

We need to determine the coordinates of the resulting point B'.

<u>Coordinates of the point B':</u>

The general rule to rotate the point 90° counterclockwise around the origin is given by

(x, y) \rightarrow(-y, x)

The new coordinate can be determined by interchanging the coordinates of x and y and changing the sign of y.

Now, we shall determine the coordinates of the point B' by substituting (1,1) in the general rule.

Thus, we have;

Coordinates of B' = (1,1) \rightarrow(-1,1)

Thus, the coordinates of the resulting point B' is (-1,1)

3 0
3 years ago
Help me this is the last question i just need to know what to use to solve the problem
Genrish500 [490]

Answer:

Not even one day

Step-by-step explanation:

I mean if it uses 4 bags a day  . . .

2/5's wont last long at all

8 0
3 years ago
Is the statement (3^5)^4 = (3^4)^5 true? Explain your reasoning.
Evgesh-ka [11]

Answer:

We use the power rule of exponents to find out that both sides of the equation equal 3^20 (or 3486784401).

Step-by-step explanation:

For this example, we can just use a calculator and find out that both (3^5)^4 and (3^4)^5 are the same value. But how do we know this algebraically?

When dealing with exponents, we must have a good understanding of the properties of exponents before doing any calculations.

For this example, I recognize that the power rule of exponents is being used:

(a^{m})^{n}  = a^{m*n}

So let's apply this rule to the given equation.

(3^5)^4 = (3^4)^5

3^(5*4) = 3^(4*5)

3^20 = 3^20

Now we know both sides of the equation equal 3^20 (or 3486784401).

3 0
2 years ago
A container is shaped like a triangle prism. Each base of container is an equilateral triangle with the dimensions shown. The co
Aleks04 [339]

Answer:

\text{Lateral surface area of container}=270\text{ cm}^2    

Step-by-step explanation:

Please find the attachment.

We have been given that a container is shaped like a triangle prism. Each base of container is an equilateral triangle with each side 6 cm. The height of container is 15 cm.

To find the lateral surface area of our given container we will use lateral surface area formula of triangular prism.

\text{Lateral surface area of triangular prism}=(a+b+c)*h, where, a, b and c represent base sides of prism and h represents height of the prism.

Upon substituting our given values in above formula we will get,

\text{Lateral surface area of container}=(\text{6 cm+ 6 cm+6 cm})*\text{15 cm}

\text{Lateral surface area of container}=\text{18 cm}*\text{15 cm}

\text{Lateral surface area of container}=270\text{ cm}^2

Therefore, lateral surface area of our given container is 270 square cm.

6 0
3 years ago
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