1. Allison is a recent college graduate. She got a job as a marketing executive making $82,000 a year, and she will have to move across the country for the new job. Her moving expenses are $7500. She has also started paying back her student loans, and this year will pay back $1386 in student loan interest. What is Allison's adjusted gross income (AGI)?

The solution to the word problems given are obtained by creating a mathematical expression from the questions given. Hence, the solutions are :

1.)

Total work hours = 45 hours

Total earning can be defined thus :

28.50(40) + 49.875(45 - 40)

1140 + 249.375

= $1389.375

2.)

Yearly saving can be calculated thus :

Weekly saving = 15% × 1525 = $228.75

Amount saved per year = $228.75 × 52 = $11895

3.)

Actual payment received per year can be calculated thus :

Actual weekly earning = $50000 - $5275.75 = $

Actual yearly earning = 52 × $44724.25 = $536691

Learn more : https://brainly.com/question/25257355

Answer:

X = 80°

Step-by-step explanation:

The total number of degrees in a triangle is 180°.

70° + 30° = 100°

180° - 100° = 80°

Answer:

Y = 7/15x + 6/5

Step-by-step explanation:

7x - 15y = -18

7x = 15y - 18

7x + 18 = 15y

7/15x + 6/5 = y

Hope this helps! Pls give brainliest!

We can convert the line 7x − 15y = –18 into slope-intercept form (y = mx + c) by making y the subject of the equation

       7x - 15y = - 18

        7x + 18 = 15y

  ⁷/₁₅ x + ¹⁸/₁₅ = y

Answer:

DE = 7.3 cm

Step-by-step explanation:

All you have to do is take the length of the full line (13.8 cm) and subtract it by the first part (6.5 cm). Doing this gets you the final length of DE with is 7.3 cm.

Answer:

sorry I don't know pls ask someone else

Answer:

3 yards

Step-by-step explanation:

The area of a square is its length × width, where the length and width are the same:

length × width = 9

Since, the length and width are the same lets call them x

x × x = 9 → x² = 9

To find x, find the square root of 9:

x² = 9 → x = √9 → The square root of 9 is 3

Each side has a length of 3 yards

Step-by-step explanation:

wjjdjrjdjdjdudidjdkdk pick the C

Answer:

D,

Step-by-step explanation:

Step 1: 47-12=27, 27+(-27)=0

step 2: 27/2=13.5, 2c/2=c

step 3, change 13.5 to fraction which is 13 1/2

(hope it's helpful :)

Answer:

a)

2x/3 = 8. First, multiply both sides by 3 to make 2x = 24. Then, divide both sides by 2: x = 12.

b)

3x/2 = 6. First, multiply both sides by 2 to make 3x = 12. Then, divide both sides by 3: x = 4.

Hope this helps!

Answer:

A.) x = 12

B.) x = 4

Step-by-step explanation:

A.) 2x/3 = 8

First let’s multiply both sides by three to get rid of our division equation,

2x/3 = 8

*3 *3

2x = 24

Now we divide both sides by 2 to single out our variable,

2x = 24

/2 /2

X=12

Let’s check our answer just to be sure this is correct, we do this by plugging in “12” for our x

2(12)/3 = 8

24/3 = 8

8 = 8

Now we know that x = 12 is true,

B.)3x/2 = 6

Again well will multiply both sides by 2 to remove our division equation,

3x/2 = 6

*2 *2

3x = 12

We divide both sides by 3 to remove our coefficient in front of the variable,

3x = 12

/3 /3

x=4

Let’s check our answer once again,

3x/2 = 6

3(4)/2 = 6

12/2 = 6

6 = 6

X = 4 is true

Answer:

126

Step-by-step explanation:

35/5 = 6.

6 is the number in 1 day

6x21=126

126 is the number in 21 days

Hope that helps

Using proportions, it is found that the cost of each of the favors is of $5.

The rule of three is:

8 favors - $40

1 favor - $x

Applying cross multiplication:

[tex]8x = 40[/tex]

[tex]x = \frac{40}{8}[/tex]

[tex]x = 5[/tex]

The cost of each of the favors is of $5.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

Answer:

Step-by-step explanation:

The parabola appears wider when |a| >1, the parabola appears thinner

When a is positive, the parabola opens upwards, but when a is negative parabola opens downwards

Step-by-step explanation:

brainliest?

Answer:Y = 3x2+ 4

When equation is in the form of y = Ax2 + Bx + C, it is in standard form.

A = 3, B = 0

Since A is positive, the graph opens upward.

Vertex is the lowest point on the graph.

The x coordinate of the vertex occurs at -B/2A

X =-B/2A = -0/2(3) = 0

To find the y-coordinate, we substitute 0 and solve for y

Y = 3(0)2 + 4 = 4

The vertex is at (0,4) ... the lowest point on the graph

From here, you can construct a table of values for x, and solve for y to obtain points on the graph.

Good x values to pick are -2, -1, 1, and 2

The domain is all the x-values for which the function is defined, The function is defined for all real values of x.

The domain is all real numbers. { x | x is a real number }

The range is all the y values obtained from input of the x-values.

The smallest y value is 4, the largest is positive infinity.

The range is all real numbers ≥ 4. { y | y ≥ 4 }

Answer:

102165

Step-by-step explanation:

92929+8282= 101211

101211 + 828 = 102039

102039 + 81 = 102120

102120 + (9+9+9+9+9) = 102120 + 45 = 102165

Answer:

102165 is your asnwer

Step-by-step explanation:

9+9+9+9+9+81+828+8282+92929=102165

Answer:

6 3/4

Step-by-step explanation:

If Sarah uses 3/4 of ribbon to make one hair bow, you would need to multiply 3/4 by 9.

3/4 × 9 = 6 3/4

She will need 6 3/4 yards of ribbon.

Hope this helps! Brainliest would be really appreciated!

Answer:

0.88%y + 0.03%

K12 is how i know the answer

Answer:

A i belive

Step-by-step explanation:

Answer:

where are the angles...........

Answer:

(-1,-6)

Step-by-step explanation:

(-1,-6)

Multiply coordinates of mid point by 2

take away from point P

Answer : The demonstration is below :)

Step-by-step explanation :

We use Pythagoras' theorem :

AB² = AC² - BC² = 15² - 9² = 144 = 12²

DB² = AD² - AB² = 13² - 12² = 5²

cos(a) = BD/AD = 5/13

Answer:

6

Step-by-step explanation:

Answer:

[tex]b=0.8[/tex]

Step-by-step explanation:

1) Subtract 2.7 from both sides.

[tex]-5.3-2.7=-\frac{b}{0.1}[/tex]

2) Simplify -5.3 - 2.7 to 8.

[tex]-8=-\frac{b}{0.1}[/tex]

3) Multiply both sides by 0.1.

[tex]-8[/tex] × [tex]0.1=-b[/tex]

4) Simplify - 8 × 0.1 to - 0.8.

[tex]-0.8=-b[/tex]

5) Multiply both sides by -1.

[tex]0.8=b[/tex]

6) Switch sides.

[tex]b=0.8[/tex]

Answer:

b=0.8

Step-by-step explanation:

[tex]\frac{b}{0.1} = 8\\b= (0.1)(8)\\b=0.8[/tex]

Answer:

it will be $1.50 (sure yan ah diyan joke)

Answer: See below

Step-by-step explanation:

A. 2.1       No (2.1>2)

B. -1         Yes

C. 0         Yes

D. -7.5     No (-7.5<-7)

E. 3.5       No (3.5>2)

F. -6.4      Yes

G. -8         No (-8<-7)

Answer:

4

Step-by-step explanation:

factor the numerator and denominator and cancel the common factors

[tex](5^{4} *\frac{1}{b^{10} }) ^{-6}[/tex]

[tex](\frac{5^{4} }{b^{10} } )^{-6}[/tex]

[tex]\frac{b^{60} }{5^{24} }[/tex]

Answer:

s/5=b

Step-by-step explanation:

The required expression is n/5 = b

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

We have the variable b to represent the unknown quantity.

The expression,

the number of soda bottles split 5 ways.

That means,

Let n be the number of soda bottles.

So,

using division operation,

n / 5 = b

Therefore, the expression is n/5 = b.

To learn more about the expression;

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#SPJ1

Answer:

2

Step-by-step explanation:

1) Subtract 44 from both sides of the equation

3x + 44 - 44 = 50 - 44

2) Simplify

a. Subtract the numbers

3x = 50 - 44

b. Subtract the numbers

3x = 6

3) Divide both sides of the equation by the same term

3x/3 = 6/3

4) Simplify

a. Cancel terms that are in both the numerator and denominator

x = 6/3

b. Divide the numbers

x = 2

Answer:

False

Step-by-step explanation:

in math, dilate means changing the size of an object without changing its shape

Have a good day, sorry if I'm wrong:)

(if I am wrong, plz tell me<3)