Marlene expects her gross income to be $54,000 this year, and she expects her required deductions to amount to $15,000. Her employer covers 90% of the cost of a $4800-per-year health insurance plan and 80% of the cost of a $900-per-year life insurance plan, with the remainder of the cost coming out of Marlene's pay, and Marlene also expects to contribute 8% of her gross income this year to her 401(k) plan. She wants to calculate how much she will receive for each of her bimonthly paychecks.

Answer:

118/15 or 7.8666666666666666666666666666666666666666666666666666666666666666... decimal

Step-by-step explanation:

Simplify the following:

(1 + 1/9) (4 + 1/2) + 3 + 1/5 - 1/3

Put 1 + 1/9 over the common denominator 9. 1 + 1/9 = 9/9 + 1/9:

9/9 + 1/9 (4 + 1/2) + 3 + 1/5 - 1/3

9/9 + 1/9 = (9 + 1)/9:

(9 + 1)/9 (4 + 1/2) + 3 + 1/5 - 1/3

9 + 1 = 10:

10/9 (4 + 1/2) + 3 + 1/5 - 1/3

Put 4 + 1/2 over the common denominator 2. 4 + 1/2 = (2×4)/2 + 1/2:

10/9 (2×4)/2 + 1/2 + 3 + 1/5 - 1/3

2×4 = 8:

10/9 (8/2 + 1/2) + 3 + 1/5 - 1/3

8/2 + 1/2 = (8 + 1)/2:

10/9 (8 + 1)/2 + 3 + 1/5 - 1/3

8 + 1 = 9:

10/9×9/2 + 3 + 1/5 - 1/3

10/9×9/2 = (10×9)/(9×2):

(10×9)/(9×2) + 3 + 1/5 - 1/3

(10×9)/(9×2) = 9/9×10/2 = 10/2:

10/2 + 3 + 1/5 - 1/3

The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:

5 + 3 + 1/5 - 1/3

Put 5 + 3 + 1/5 - 1/3 over the common denominator 15. 5 + 3 + 1/5 - 1/3 = (15×5)/15 + (15×3)/15 + 3/15 - 5/15:

(15×5)/15 + (15×3)/15 + 3/15 - 5/15

15×5 = 75:

75/15 + (15×3)/15 + 3/15 - 5/15

15×3 = 45:

75/15 + 45/15 + 3/15 - 5/15

75/15 + 45/15 + 3/15 - 5/15 = (75 + 45 + 3 - 5)/15:

(75 + 45 + 3 - 5)/15

| 1 |  

| 7 | 5

| 4 | 5

+ | | 3

1 | 2 | 3:

(123 - 5)/15

| | 1 | 13

| 1 | 2 | 3

- | | | 5

| 1 | 1 | 8:

Answer: 118/15

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[tex]1 \frac{1}{9} \times 4 \frac{1}{2} + (3 \frac{1}{5} - \frac{1}{3} ) = \\ [/tex]

[tex] \frac{9 + 1}{9} \times \frac{8 + 1}{2} + ( \frac{15 + 1}{5} - \frac{1}{3} ) = \\ [/tex]

[tex] \frac{10}{9} \times \frac{9}{2} + ( \frac{16 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) = \\ [/tex]

[tex] \frac{9 \times 10}{9 \times 2} + ( \frac{48}{15} - \frac{5}{15} ) = \\ [/tex]

[tex] \frac{10}{2} +( \frac{48 - 5}{15} ) = \\ [/tex]

[tex]5 + ( \frac{43}{15} ) = \\ [/tex]

[tex] \frac{75}{15} + \frac{43}{15} = \frac{118}{15} \\ [/tex]

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Answer:

28,42,56, And 70..

Step-by-step explanation:

Its because after 14 count by 14 then get 70 4 more times.✌

Answer:

Pretty sure it's 2

Step-by-step explanation:

Answer:

its 160 miles

Answer: The answer is 60/7 or in mixed number form it is 8 4/7...

to make it easier, all you do is make the fractions improper and then add... If they didn't have the same denominator then you would make them have the same denominator. But they already have the same denominator... Or in other words convert the fractions into improper fractions, then find the LCD and combine... 34/7+26/7

34+26/7

60/7

decimal form: 8.571428

mixed number form: 8 4/7

Hope this helps... Stay safe and have a great day/night!! :D

Answer:

about 8.6, or 8.57142857143

Step-by-step explanation:

4 6/7 + 3 5/7

= 28+6/7 + 21+5/7

= 34/7 +26/7

= 60/7

= about 8.6

The rate of change from 2015 to 2017 is -$250 per year.

Given that,

According to the scenario, computation of the given data are as follows,

Total change = $300 - $800

= -$500

Total years from 2015 to 2017 = 2 years

So rate of change = -$500 [tex]\div[/tex] 2

= - $250

Learn more : https://brainly.com/question/11833462

Answer:

my mom

OOOO

Step-by-step explanation:

huh 12x*5

Step-by-step explanation:

Let's see

Firstly produce the line to Q such that it passes through and dives Q into two.

The interior angle of the Pentagon at the point Q=sum of its interior angle/5

The angle=540°/5=108°

That would make the exterior angle there=180°-108°=72°

Again,find the interior angle of the heptagon at the point Q=(sum of its interior angles)/7

Angle=900°/7=128.57°≈129°

That would make the exterior angle there=180°-129°=51°

Since Q was divided into the two exterior angles,we sum them up to obtain the angle value of Q

That is 51°+72°=123°

Answer: 14/6

Step-by-step explanation:

A line passes through point A(14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

Answer:

$964.85

Step-by-step explanation:

$839 x 1.15 = $964.85

The answer is 964.85. 964.85 would be the new total cost.

Answer:c

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

[tex]x \degree = 180 \degree - (90 \degree + 42\degree) \\ \\ x \degree = 180 \degree - 132\degree\\ \\ x \degree = 48\degree \\ \\ x = 48[/tex]

Answer:

it s A

Step-by-step explanation:

if the two to the power of ten is on the outside, you will always need to add that to the other powers of ten

Brianliest plz thanks

Answer:

x = -4037/127

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

14x + 18 + x = -112(x + 36) + 13

Step 2: Solve for x

Answer:

The correct answer is a.) x=-6

Step-by-step explanation:

Answer:

A is correct

Step-by-step explanation:

Here, we want to write an inequality

If the water level drops by 14 feet

what this mean is that we are subtracting 14 from the original level L

Thus, we have

L-14

Higher than 20 means that we have;

L-14 > 20

L > 20 + 14

L > 34

Answer:

18

Step-by-step explanation:

The GCF is also known as the greatest common factor. Every number can be written as the product of at least 2 numbers, and almost every number has at least one factor that is a prime number (or a number that is only divisible by 1 and itself).

Let's find the prime factorization of 18 and 72; in other words, let's find what prime numbers make these numbers up.

18 = 2 * 9 = 2 * 3 * 3  ⇒  notice that while 9 isn't a prime number, 2 and 3 are

72 = 2 * 36 = 2 * 2 * 18 = 2 * 2 * 2 * 3 * 3  ⇒  again, 2 and 3 are primes

In finding the GCF, we want to find the largest value of the prime numbers that the two numbers share.

Here, we see that both 18 and 72 have at least one factor of 2 and at least two factors of 3. So, that's the greatest common factor: 2 * 3 * 3 = 18.

Answer: $16.5/hour

Step-by-step explanation:

The unit rate is the relationship between y and x if x = 1

660/40 = 16.5

That means, if x = 1, y = 16.5

Therefore, $16.5/hour

Answer:

slope=0.5

equation of the line= y=.5x+5

Step-by-step explanation:

[tex]x_{2}[/tex]-[tex]y_{2}[/tex]/[tex]x_{1}[/tex]-[tex]y_{1}[/tex] substitute your x and y values in

5.5-5/1-0=.5

5.5 is [tex]x_{2}[/tex] and 5 is [tex]y_{2}[/tex]

1 is [tex]x_{1}[/tex] and0 is [tex]y_{1}[/tex]

Hope this helps!

Answer:

blank 1-2x+y1=86

Blank 2- x+y=48

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

I had this exactl question a while ago

Answer:

The answer to this question is A. 8(3/5*1/4).

Answer:

b

Step-by-step explanation

i think

Answer:

[tex]A.\ ~~x=16,~ y=9\sqrt{2}[/tex]

Step-by-step explanation:

We have completed the diagram with some lengths that come directly from the figure's symmetry.

Note the triangle formed at the left side of the trapezium is isosceles because it has an angle of 90° and another angle of 45°.

This means the base of the triangle has the same length as the height of 9.

This means the total base of the trapezium is x = 9 + 7 = 16

The right triangle must satisfy Pythagora's Theorem:

[tex]y^2=9^2+9^2[/tex]

[tex]y^2=2*9^2[/tex]

[tex]y=\sqrt{2*9^2}[/tex]

Simplifying the radical:

[tex]y=9\sqrt{2}[/tex]

The correct answer is: [tex]\mathbf{A.\ ~~x=16,~ y=9\sqrt{2}}[/tex]

Answer: A; r = square root (S/4pi)

Step-by-step explanation:

1. Divide 4pi on both sides to get r^2 by itself so the left side becomes S/4pi (you do this because 4, pi, and r^2 are being multiplied together on the right side in the original equation so to cancel that out and get r by itself you do the opposite of multiplication)

The equation should now look like r^2 = S/4pi

2. Square root both sides including r to get rid of the r^2 so it becomes just r (also when you square root both sides, you square root all of S/4pi not just S or 4pi but the whole thing)

After you do that, you get r = square root (S/4pi) which is answer A

Hope this helps! :)

Answer:

Question 1:

The angles are presented here using Autocad desktop application

The two column proof is given as follows;

Statement                   [tex]{}[/tex]                             Reason

S1. Line m is parallel to line n       [tex]{}[/tex]            R1. Given

S2. ∠1 ≅ ∠2                   [tex]{}[/tex]                            R2. Vertically opposite angles

S3. m∠1 ≅ m∠2                    [tex]{}[/tex]                     R3. Definition of congruency

S4. ∠2 and ∠3 form a linear pear      [tex]{}[/tex]      R4. Definition of a linear pair

S5. ∠2 is supplementary to ∠3 [tex]{}[/tex]      R5. Linear pair angles are supplementary

S6. m∠2 + m∠3 = 180°              [tex]{}[/tex]                Definition of supplementary angles

S7. m∠1 + m∠3 = 180°              [tex]{}[/tex]                 Substitution Property of Equality  

S8. ∠1 is supplementary to ∠3           [tex]{}[/tex]      Definition of supplementary angles

Question 2:

(a) The property of a square that is also a property of a rectangle is that all the interior angles of both a square and a rectangle equal

(b) The property of a square that is not necessarily a property of all rectangles is that the sides of a square are all equal, while only the length of the opposite sides of a rectangle are equal

(c) The property of a rhombi that is also a property of a square is that all the sides of a rhombi are equal

(d) A property of a rhombi that is not necessarily a property of all parallelogram is that the diagonals of a rhombi are perpendicular

(e) A property that applies to all parallelogram is that the opposite sides of all parallelogram are equal

Step-by-step explanation:

Answer:

79,920 different ways

Step-by-step explanation:

Combination has to do with selection:

If we are to select 3 teachers from a pool of 10 teachers to form a committee, this can be done in 10C3 number of ways.

10C3 = 10!/(10-3)!3!

10C3 = 10!/7!3!

10C3 = 10*9*8*7!/7!3!

10C3 = 10*9*8/3*2

10C3 = 720/6

10C3 = 120 ways

Similarly, selecting five 2 students from a pool of 37 students to form a committee, this can be done in 37C2 difference ways;

37C2 = 37!/(37-2)!2!

37C2 = 37!/35!2!

37C2 = 37*36*35!/35!*2

37C2 = 37*36/2

37C2 = 37 * 18

37C2 = 666 ways

Hence the total number of ways that the 5 committees can be selected is expressed as 10C3 * 37C3 = 120 * 666

120 * 666 = 79,920 ways

Answer:

yes

Step-by-step explanation:

because they are all faced up and not touching each other