Alex is offered a job managing a gift store at a mall at a base salary of $950 per week. The company will pay one quarter of the cost of medical insurance, one half the cost of dental insurance, the full cost of vision insurance and life insurance and will pay up to $1,250 per year for college credits. The full monthly cost of medical insurance is $550; the full monthly cost of dental insurance is $80; the full yearly cost of vision insurance is $160; and the full monthly cost of life insurance is $25. If Alex takes full advantage of the education benefit, what is the annual value of this job to him

Answer:

Miles per gallon, or mpg

Step-by-step explanation:

Answer:

5x+15+2x=24+4x

Step-by-step explanation:

I hope this helps

Step-by-step explanation:

In right angled triangle

Tan = opposite side / adjacent side

Opposite side = 7 inches

Adjacent side = 5 inches

Tan = 7/5

Trigonometric function is the ratio of the different sides of the triangle. The correct value of Tanθ is 7/5.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

We know that the value of the perpendicular height of the cone is 7 inches while the measurement of the base of the triangle is 5 inches, therefore, using Pythagoras theorem the third side of the triangle can be written as,

[tex]\rm(Slant\ Height)^2 = 7^2 + 5^2\\\\(Slant\ Height)^2 =49+25\\\\(Slant\ Height)= 8.6[/tex]

Now, the value of the trigonometric ratios can be written as,

[tex]\rm Sin \theta=\dfrac{7}{8.6}\\\\\\Cos \theta=\dfrac{5}{8.6}\\\\\\Tan \theta=\dfrac{7}{5}\\\\\\Cosec \theta=\dfrac{8.6}{7}\\\\\\Sec \theta=\dfrac{8.6}{5}\\\\\\Cot \theta=\dfrac{5}{7}\\\\\\[/tex]

Hence, the correct value of Tanθ is 7/5.

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this is the correct answer

Answer:

10

Step-by-step explanation:

WHICH?

MSOAOSBDJDSONASBDJDBDBDBDI

I NEEED TOOOO

Answer:

c. 5m

Step-by-step explanation:

25 × 5 × m

multiply them

=5m

Answer:

If solving for x, the answer is x = -2b - 4.

Step-by-step explanation:

If solving for b, the answer is b = -2 - [tex]\frac{x}{2}[/tex].

Answer:

y = 1x + 46

Step-by-step explanation:

Step-by-step explanation:

12^2 x 3.14=452.16

452.16 x 28=12,660.48

12,660.48/3=4,220.16

4,220.16 is the answer

Answer:

Algebra questions cuz im bad at it

Step-by-step explanation:

Answer:

fractions

Step-by-step explanation:

confusing

Answer:

You have to turn it into a mixed fraction.

Step-by-step explanation:

When you start out with the numerator being larger than the denominator.

Find the Highest Common Factor of the numerator. (I.E 10/8 - 1 2 4) and then divide by the HCF. the whole number part will be the same.

Answer:

-42÷3/7=-98

Step-by-step explanation:

Answer:

9) - 17

11) - 5

13) 30

15) 16

10) - 20

12) - 1

14) 30

16) - 21

1) 16

3) 21

5) - 22

7) - 19

2) 11

4) 7

6) - 9

8) - 6

Step-by-step explanation:

Sorrh I wrote this weirdly I was reading it downwards not sideways but hopefully this helps either way :))

Answer:

x : 3 :: y : -1

9 : 3 :: y : -1

3y = -9

y = -3

Answer:

-34

Explanation:

Y varies directly as x then the equation relating them is

y= kx ⬅️k is the constant of variation

To find k use the condition y= -51 when x=3

k= -17

y= -17x⬅️equation of variation

when x=2, then

y= -17*2=-34

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

173 divided by 3 =57.6666667. So i estimated it to 60

Answer:

5 gardeners

Step-by-step explanation:

1 gardener - 6 trees in 30 min

or 1 tree in 5 min so in one minute gardener can plant 1/5 tree

in 45 min 1 gardener can plant 9 trees

so you would need 5 gardeners to do 45 trees in 45 min

We have that the number of men needed to plant 45 trees in 45 minutes is

From the question we are told that

3 gardeners can plant 18 trees in 30 minutes.

plant 45 trees in 45 minutes?

Generally the equation for the One gardeners time of planting   is mathematically given as

Since

3 gardeners can plant 18 trees in 30 minutes.

Therefore

[tex]X=\frac{18}{30}*\frac{1}{3}\\\\X=\frac{1}{5}trees/min[/tex]

Since

45 trees in 45 minutes

Therefore

1 tree for every min

Hence

Men need for 1 tree for every min is

[tex]1=x*\frac{1}{5}\\\\x=5[/tex]

Therefore

x=5men would plant 45 trees in 45 minutes

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Answer:

Where is the question

Answer:

150

Step-by-step explanation:

To solve this problem, first start setting up the equation.

Start with bob first - this is the easiest. Let x = bob

To get the part for susie - he has $24 more than twice the amount of bob, so his part of the equation would be set up as: 2x + 24

Combine these parts:

x + (2x + 24)

Combined they have $150, so you would set the equation above equal to 150

x + (2x + 24) = 150

Combine like terms:

3x + 24 = 150

Solve the equation for x

3x   +   24   =   150

      -   24         -24

3x               =   126      isolate x by itself on one side of the equation

divide both sides by 3 to get x by itself

3x    =    126

3              3

x    =   42

Now that you have solved for x, you know the amount that bob has... $42

With this information you can substitute 42 for x in the equation that was created for susie

2x + 24   would now by (2*42) + 24  which is $108

So, the amount that bob has is $42 and susie has $108

You can double check your work by adding $42 and $108 together to see if you get $150 (which you do)

Hope this helps!!!

Answer:

235/3

Step-by-step explanation:

First, let's make a varible x. Let x be the "what number" part in the question.

Now, Let's convert the words into an equation.

We get:

60% * x = 47

Simplifing, we get:

0.6 * x = 47

0.6x = 47

x = 47 / 0.6

x = 47 / [tex]\frac{6}{10}[/tex]

x = 47 / [tex]\frac{3}{5}[/tex]

x = 47 * 5/3

x = 235/3

yes sure why do you want help dear

Answer:

below

Step-by-step explanation:

y=0,100

x= -250, 0

Hope this helped

Answer:

Step-by-step explanation:

sin(0°) = 0

sin(90°) = 1

The values of sin0 and sin 90 are 0 and 1 respectively

Given the following values of theta

Theta = 0 and 90 degrees

If theta = 0 dgrees

Sin (0) = 0

If theta = 90 degrees

Sin(90) = 1

Hence the values of sin0 and sin 90 are 0 and 1 respectively

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Answer: common denominator is 42

Step-by-step explanation:

Answer:

x + gh = -11

Step-by-step explanation:

x + gh

= -3 + 4(-2)

= -3 + (-8)

= -11

Answer:

- 11

Step-by-step explanation:

= -3+4x-2

=-3+ (-8)

= -3-8

=-11

Answer:

55.26

Step-by-step explanation:

Divide 50 by 9.5 to get the amount the tool will be taxed.

5.26

Add 50 to that to get the total

55.26

The tax rate charge on the tool that is worth 9.5% is $4.75. The total amount paid for the tool is $54.75

The tax rate charge on a piece of equipment follows a standard rate by tax charges organization in that geographical region.

Given that:

= 9.5% × $50

= 0.095 × 50

= $4.75

The total amount paid for the tool is = $4.75 + $50 = $54.75

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Answer:

A. 4/3

3/4 *16/9 =

(3*16)/ (4*9) =

48/36 =

12*4/12*3 =

4/3