Marcus' employee benefits include family health care coverage. He contributes 25% of the cost. Marcus gets paid weekly and $102 is taken out of each paycheck for family healthcare coverage. How much does his employer contribute annually for coverage?

Answer:

I got you :)

Step-by-step explanation:

F(x)=2x-10

Ok, so when you need to know f(4) you plug in 4 for x

f(4)=2(4)-10

2x4 = 8

8-10= -2

f(4)= -2

Hope this helps!

Hi! Hope you're enjoying your day!

In order to solve this, all we have to do is plug in the value of x.

So we're given that

f(x)=2x-10

So f of x is equal to 2 times x minus 10.

Thus

f of 4 is equal to 2 times 4 minus 10 (it can be simplified, right?) :)

f(4)=8-10

f(4)=-2

Hence, the answer is

[tex]\boxed{\boxed{\bold{f(4)=-2}}}[/tex]

Hope everything is clear.

If you have any questions, please ask.

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[tex]\rule{200}{2}[/tex]

show that the foflleing statement and soln

There are tables (4) and (5) represent quadratic relationships.

A quadratic relationship is equivalent to a quadratic formula. These relations are frequently used to determine the height of falling objects, kicked balls, or an arched bridge.

As per table (4), we have

x             y        

0            4          

1            -4  

2           -4  

3            4    

Substitute these points in the graph, we get it represents quadratic relationships.

When plotting the graph of a quadratic relation, always display the significant points, the vertex, and the crossings with the axes.

As per table (5), we have

x             y        

0           -4          

1            -8  

2           -10  

3           -10    

When we substitute these points in the graph, we see that it also shows quadratic relations.

Thus, tables (4) and (5) represent quadratic relationships.

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The complete question has been attached below.

Answer: The coefficients are: 16ab, 5c, and 2w. The terms are: 16ab, 5c, 8, 21, 2w, H, W, and L. The constants are: 8 and 21. And the variables are: H, W, and L.

Answer:

(a) [tex]A=1600(1+\frac{0.0375}{12})^{12t}[/tex]

     (where [tex]A[/tex] is the account balance and [tex]t[/tex] is the time in years)

(b) $1,929.40

Step-by-step explanation:

Compound interest formula

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

Substituting these values into the formula:

[tex]\implies A=1600(1+\frac{0.0375}{12})^{12t}[/tex]

(where [tex]A[/tex] is the account balance and [tex]t[/tex] is the time in years)

Part (b)

Substitute [tex]t=5[/tex] into the equation created in part (a):

[tex]\implies A=1600(1+\frac{0.0375}{12})^{12\cdot 5}[/tex]

[tex]\implies A=1600(1.003125)^{60}[/tex]

[tex]\implies A=1929.404236...[/tex]

[tex]\implies A=1929.40[/tex]

Therefore, her account balance after 5 years will be $1,929.40

The volume of the right prism is the product of the length, width and height

The height of the prism is 7.40 ft

The given parameters are:

Volume = 214.5 ft cube

Length = 5 ft

Width = 5.8 ft

The volume of the right prism is calculated as:

Volume = Length * Width * Height

So, we have:

214.5 = 5 * 5.8 * Height

Evaluate the product

214.5 = 29 * Height

Divide both sides by 29

7.40 = Height

Rewrite as:

Height = 7.40

Hence, the height of the prism is 7.40 ft

Read more about volumes at:

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Answer:

6.6

Step-by-step explanation:

we can see that the triangle is isosceles since it has 2 equal sides

so that means 2 equal angles then :

x + 17 = 4x - 34

3x = 51

x = 17

or

the sum of 3 triangles angles = 180

6x + 10 + x + 17 + 4x - 34 = 180

11x = 187

x = 17

Answer:

Step-by-step explanation:

(6x+10)+(x+17)+(4x+34)=180

11x+61=180

11x+61-161=180-61

11x=119

11x/11=119/11

x=10 9/119

The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41

The density formula is given by:

Density = mass/volume

The volume of the cylinder = π * radius² * height

Radius = diameter / 2 = 41/2 = 20.5, height = 780 cm. Hence:

Volume = π * 20.5² * 780 = 1029798 cm³

Density = mass/volume

6.1 = mass/1029798

mass = 6281770 kg

Cost = 6281770 kg * $0.62 per kilogram = $3894697.41

The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41

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Answer:

  65.8 ft

Step-by-step explanation:

The number of strings required to tie each vertex to the other three will be ...

  (4)(3)/2 = 6

Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.

  d² = 12² +7² = 144 +49 = 193

  d = √193 ≈ 13.892

Then the total length of all strings is ...

  L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet

The artist will need 65.8 feet of string.

Answer:

[tex]-\frac{5y}{3}+\frac{5}{2}[/tex]

Step-by-step explanation:

Given Problem;

[tex]\frac{5}{6}\left(-2y+3\right)[/tex]

Solve;

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]

[tex]\frac{5}{6}\left(-2y+3\right)=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3[/tex]

[tex]=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3[/tex]

[tex]\mathrm{Simplify\;=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3:}-\frac{5y}{3}+\frac{5}{2}[/tex]

[tex]=-\frac{5y}{3}+\frac{5}{2}[/tex]

Hence, Answer = [tex]-\frac{5y}{3}+\frac{5}{2}[/tex]

~Learn with Lenvy~

Answer:

x=-5

Step-by-step explanation:

-6(x + 7)=-12

-6x+-42=-12

-6x=30

x=-5

Answer:

X = -5

Step-by-step explanation:

-6(x+7)=-12

Use the distributive property

-6x-42=-12

Add 42 to -42, and 42 to -12

Adding 42 to -42 cancels -42 out

-6x=30

Divide -6 by -6, and 30 by -6

x=-5

Answer:

9z - 10y

Step-by-step explanation:

I hope this helps!

Answer:I think it’s y = 6; slope is 6

Step-by-step explanation:

Because it’s on the positive side so I think it’s that one

The equation of the line will be x = 6. And the slope of the vertical line is infinite.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation of the vertical line is given as,

x = c

The line is passing through (6, 0). Then we have

6 = c

Then the equation of the line will be x = 6. And the slope of the vertical line is infinite.

More about the linear equation link is given below.

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Answer:

Step-by-step explanation:

Where are your answers?

Check the picture below.

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{600\times 600}{360000}\\ h=300 \end{cases}\implies V=\cfrac{(360000)(300)}{3}\implies V=36000000~ft^3[/tex]

Answer:

Step-by-step explanation:

AC = 150  Feet

CB = 75 feet.

BD = 100 feet

You use the tangent here.

Tan(A) = opposite/ Adjacent

Opposite = BD = 100 feet

Adjacent = AB = AC + CB = 150 + 75 = 225  feet.

Tan(A) = 100 / 225

Tan(A) = 0.4444

A = Tan-1(0.4444)

A = 23.96 degrees, but the front row of trees cannot be more than 100 feet tall

Answer:

I think it's 7

Step-by-step explanation:

-6 < 2T (-5+5) < 3+5

-6 < 2T < 8

+6 < 2T < 8 + 6

0 < 2T < 14

0 < ÷ 2 < ÷ 2

0 < T < 7

-0 < T < -0

T = 7

Answer:

A im pretty sure :)

Step-by-step explanation:

Answer:

0.00000001

Step-by-step explanation:

Answer:

0.000000001

Step-by-step explanation:

Answer:

a) 100/70 = 1.43 cents for 1 g of fish

180 x 1.43 = 257.4 pennies = 2.57 dollars

b) 2.45 dollars = 245 pennies

245/1.43 = 141.33.... = 141 g

Step-by-step explanation:

Answer:

(C) The price was reduced by a quarter

(H) The price is 75% of what it was before.

Step-by-step explanation:

Let's go through all the answer choices:

(A) The price doubled.

(B) The price is 150% of the price before.

(E) The price is now 1.5 times greater than what it was before.

(F) The price now is 662 % of what it was before.

(G) The price now is 200% of what it was before.

knowing that decreased meaning smaller or fewer.

Thus, it can't be doubled or more than 100% as well was greater.

Hence, the best answer is

(C) The price was reduced by a quarter

(H) The price is 75% of what it was before.

Note:

Reduced = Smaller, Less amount

Greater = More

Doubled = More

Decreased = Smaller, Less amount.

[RevyBreeze]

The statements are equivalent to the statement "the price decreased by 25%" are:

The price was reduced by a quarter.

The price is 75% of what it was before.

We have statement,

"the price decreased by 25%".

So, the statement that follow the statement is

The price was reduced by a quarter.

The price is 75% of what it was before.

Statements are not equivalent to the given statement.

"The price is 150% of the price before" means the price increased by 50%, not by 100% or double.

"The price doubled."

"The price is 150% of the price before."

"The price is now 1.5 times greater than what it was before."

"The price now is 200% of what it was before."

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Answer:

It is c

Step-by-step explanation:

When you fold it up, it makes a box just like the solid figure.

Have an amazing day!

PLEASE RATE!!

Answer:

Ok, suppose that there are M Petri dishes, where M is an integer number.

If there are N students in the class, then the number of Petri dishes that each student gets is:

# = M/N.

(always that N divides M)

If not, we will have a remainder, R,  of Petri dishes such that:

M ≥ N

R < N

This means that:

The total number of Petri dishes must be equal or larger than the number of students.

If M is larger than N, and N does not divide M, then the remainder of the quotient will be smaller than N.

Now with this, you can replace the numbers and do the math.

"The more students that decide to do the bacteria experiment, the fewer the number of Petri dishes each student gets."

You can easily see this because the equation for the number of Petri dishes that each student gets is:

# = M/N.

Here, N is in the denominator, then if the number of students in the class increases, the denominator in the operation increases, which means that the quotient will be smaller.

Answer:

72.39

Step-by-step explanation:

Cost of boots: 67.34

Tax: 7.5%

Amount of tax he payed: 67.34 * 7.5/100 = 5.05

Total Amount = 67.34 + 5.05 = 72.39

Answer:it’s the third answer choice

Step-by-step explanation:

Answer:

x = -1/6

Step-by-step explanation:

Firstly, you need to expand the brackets. So this would give, 8 + 12x - 6.

Then you collect like terms to give, 12x + 2. After this, we solve for x. To do this we need to assume that all this is = 0. Then it's easy to solve:

12x + 2 = 0

12x = -2

x = -2/12

x = -1/6

Answer:

9 /89

Step-by-step explanation:

Answer:

140 squirrels

Step-by-step explanation:

first week, there are 5 squirrels.

second week, there are 8 squirrels.

third week, there are 11 squirrels.

let's calculate the amount of squirrels at the end of 28 weeks. from the statement given, an addition of 3 squirrels for every week.

by cross multiply method:

5 squirrels = 1 week

x squirrels = 28 weeks

x = 28 x 5

x = 140 squirrels.

so you will have an amount of 140 squirrels after 28 weeks.

Answer:

[tex]3x+2y\leq 25 \\4x+6y \leq 37[/tex]

Step-by-step explanation:

Sunday ice cream :

Ice cream scoops = 3

Strawberries = 4

Milkshake :

Ice cream scoops = 2

Strawberries = 6

Ramses wants to  make sundaes and milkshakes with at  most 25 ice-cream scoops  and 37 strawberries.

Let x be the no. sundaes and y be the no. of milkshakes

So, Equations are :

[tex]3x+2y\leq 25 \\4x+6y \leq 37[/tex]

Now we are supposed to graph the solution

[tex]3x+2y\leq 25[/tex] --- Blue

[tex]4x+6y \leq 37[/tex] --- Green

Refer the attached figure

Answer:

(f+g)(x) > 3 for all values of x

Answer:

2m-8+1=2m-7

Step-by-step explanation: