Quintina decided to increase the deduction percentage of her federal income tax rate from 14% to 16%. Quintina’s gross pay per month is $2,100. Her deductions before the change are listed in the table.


Deduction
Dollar Amount
Federal Income Tax
$294
State Income Tax
$89
Social Security
$85
Medicare
$35

What is her new monthly net pay? Round your answer to the nearest dollar.
$1555
$1591
$1595
$1639
Mark this and return

Answer:

175 degrees!!!!!!!!

Step-by-step explanation:

Answer: 30

Step-by-step explanation: just divide 300 by 10

Answer: 5.25, 3/2, the square root of 6, 5

Step-by-step explanation:

Answer:

[tex]\tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\where~x~is~an~integer.[/tex]

Step-by-step explanation:

tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\

where~x~is~an~integer.

Answer:

ITS 80,000,000

Answer:-5,5,5

Step-by-step explanation:

Answer:

$3.378 or $3.38 rounded

Answer:C

Step-by-step explanation:

6(x+7)=5(x-7)+x

⇔6x+42=5x-35+x

⇔6x-5x-x=-35-42

⇔0x=-77  

Answer:

-2 is the answer

Step-by-step explanation:

sorry if I am wrong

Answer: -2

Step-by-step explanation: 3+(-5)                                                                        3−5

3+−5

−2

When it comes to adding a positive number and a negative number the main point you should focus on is that if its the same sign you have to keep it and add them together. But since they aren't the same signs and they are different signs you have to subtract them and keep the sign of the bigger number which is -5 in this problem.

The smaller angle formed by the hands of a clock at the following time.

1:25 is 42.5 degrees and 107.5 degrees

360 degrees

We need to find the angles of clock at 1:25

At 1:25, the hour hand has moved 85 out of 720 possible times from the top of the clock. 85 times 0.5 degrees is 42.5 degrees.

At 1:25, the minute hand has moved 25 out of 60 possible times from the top of the clock. 25 times 6 degrees is 150 degrees.

150 - 42.5 = 107.5 degrees

Therefore the smaller angle formed by the hands of a clock at the  time 1:25 is 42.5 degrees and 107.5 degrees

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You could use the parallelogram rule to add the vectors, or you could use the tip-to-tail method (your textbook might call it the "head to tail method" but it's the same idea).

An example of the parallelogram method is shown below with adding the vector u = (-4,4) in red to the vector v = (8,2) in blue to get the vector w = (4,6) in green. The green resultant vector is one of the diagonals of the parallelogram

Side note: The other diagonal is either u-v or v-u depending on your reference point.

Answer:-10m+10x

Step-by-step explanation: add -8m plus -2m which gives you -10m and then add 3x plus 7x which gives you 10x so the final answer is -10m+10x.

Answer: [tex]f^{-1}(x)=2x-6[/tex]

Step-by-step explanation:

To find the inverse, we want to switch the y with x and x with y. Once we do that, we solve for y.

[tex]y=\frac{1}{2}x+3[/tex]        [switch x and y]

[tex]x=\frac{1}{2}y+3[/tex]        [subtract both sides by 3]

[tex]x-3=\frac{1}{2} y[/tex]        [multiply both sides by 2]

[tex]y=2x-6[/tex]

Now, we know that  [tex]f^{-1}(x)=2x-6[/tex].

9514 1404 393

Answer:

Step-by-step explanation:

The speed difference between boat and current is the upstream rate:

  (448 km)/(8 h) = 56 km/h

The sum of speeds of boat and current is the downstream rate:

  (440 km)/(5 h) = 88 km/h

The rate of the boat is half the sum of these:

  (56 +88)/2 = 72 . . . km/h

The rate of the current is half their difference:

  (88 -56)/2 = 16 . . . km/h

The rate of the boat is 72 km/h; the rate of the current is 16 km/h.

Answer:

[tex]5.5*10^{-4}=\frac{11}{20000}=.00055[/tex]

Step-by-step explanation:

[tex]550/1000000=55/100000[/tex]          | Take one 0 from each side of the divider

Now that it's simplified, we can more easily solve the problem:

[tex]55/100000=5.5*10^{-4}[/tex]

We can also write this as a fraction or a decimal:

[tex]5.5*10^{-4}=\frac{11}{20000}=.00055[/tex]

Answer:

164/7 in decimals

Step-by-step explanation:

2x-3+5x-13

7x=164

x=164/7

use your calculator to find the 164/7

If the number is supposed to be

[tex]a^n + a^{n+1} + a^{n+2} + a^{n+3} + a^{n+4}[/tex]

then it can be factorized as

[tex]a^n \left(1 + a + a^2 + a^3 + a^4\right)[/tex]

but there's not much to say about divisibility here without any more information about a.

If you meant

[tex]a^n + (a^n+1) + (a^n+2) + (a^n+3) + (a^n+4)[/tex]

simplifying gives

[tex]5a^n + 10 = 5 (a^n+2)[/tex]

which is clearly divisible by 5.

Answer:

60

Step-by-step explanation:

the 6 in 7639 has a value of 600

600/10 = 60

Answer:

71. 19  72. 100  73. 9  74.1  75. 90  76. 4

Step-by-step explanation:

#71.

Start with 2b-a

Plug in the given numbers where the variables are.

Now the equation is 2(12) - 5

Solve 2(12) - 5

2(12) = 24      24 - 5 = 19

#72.

Start with d(ab-c)

Plug in the given numbers where the variables are.

Now the equation is 2((5×12) - 10)

Solve in the parenthesis first.

5×12= 60    60-10=50    2(50)= 100

#73.

Start with 3+ [tex]\frac{b}{d}[/tex]

Plug in the given numbers where the variables are.

Now the equation is 3+ [tex]\frac{12}{2}[/tex]

Solve.

[tex]\frac{12}{2}[/tex] = 6    3+6 = 9

#74.

Start with [tex]\frac{4a}{b+4d}[/tex]

Plug in the given numbers where the variables are.

Now the equation is [tex]\frac{4(5)}{12+(4x2)}[/tex]

Solve.

4(5)= 20    

(4×2)= 8    12+8= 20

Now the fraction is  [tex]\frac{20}{20}[/tex] = 1

#75.

Start with 2a² - c

Plug in the given numbers where the variables are.

Now the equation is 2(5)² - 10

Solve 2(5) = 10      10² = 100  100-10= 90

#76.

Start with b - c + d

Plug in the given numbers where the variables are.

Now the equation is 12 - 10 + 2

Solve.

12 - 10 = 2     2 + 2 = 4

Answer:

[tex] \frac{3}{4} n = 12[/tex]

Step-by-step explanation:

let the number be n :

[tex] \frac{3}{4} \: of \: n = 12 \\ \\ \frac{3}{4} n = 12[/tex]

further more:

[tex]3n = 12 \times 4 \\ n = \frac{12 \times 4}{3} \\ \\ n = 4 \times 4 \\ n = 16[/tex]

Answer:

3x4=12

Step-by-step explanation:

Answer:

The answer is 110.3

Step-by-step explanation:

Answer:

1)Mean= 16 Deviation= 8

2)Mean= 49.25 Deviation= 18

3)Mean=62.2 Deviation=7.6

4)Mean=7 deviation =3.25

[tex] \large \mathfrak{Solution : }[/tex]

We know, Diameter = 2 × radius

therefore,

Answer:

14 ft

Step-by-step explanation:

the diameter is half the radius. :)

The answers to the segment addition problems are :

The required worksheet is attached below :

A segment is simply the shortest distance between two points, For a line segment, it is the line which connects two points.

Given that :

LM = 22 ; MN = 15

The segment LN is defined as :

LN = LM + MN

LN = 22 + 15

LN = 37

2.)

LN = 54

LN = 54 LM = 31

The line segment, LN equals :

LN = LM + MN

54 = 31 + MN

MN = 54 - 31

MN = 23

3.)

DF = 9x - 39

DE = 47

EF = 3x + 10

The line segment, DF equals ;

DF = DE + EF

9x - 39 = 47 + (3x + 10)

9x - 39 = 47 + 3x + 10

9x - 3x = 47 + 10 + 39

6x = 96

x = 96 / 6

x = 16

Hence,

EF = 3x + 10

EF = 3(16) + 10

EF = 48 + 10

EF = 58

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Here we have a problem of composition of functions.

Remember that:

(f ° g)(x) = f( g(x) )

Now we have the table:

x      | 1 2 3 4 5 6

f(x)   | 6 4 4 1 6 4

g(x)  | 5 5 2 1 4 3

Using the table, we want to find:

To read the table, for example for f(5) first you go to the "x" part of the table and find the 5.

Now you go to the f(x) table and see which is the value of f(5), in this case, we can see that f(5) = 6.

a)  f(g(1))

First, looking at the table, we can see that:

g(1) = 5

Then:

f(g(1)) = f(5)

Again, looking at the table we can see that f(5) = 6

Then we have:

f(g(1)) = 6

b) g(f(1))

Same approach as before:

f(1) = 6

then g(f(1)) = g(6)

And looking at the table, g(6) = 3

Then:  g(f(1)) = 3

c)  f(f(1))

f(1) = 6

f(f(1)) = f(6) = 4

f(f(1))  = 4

d)  g(g(1))

g(1) = 5

then:

g(g(1)) = g(5) = 4

g(g(1)) = 4

e) (gof)(3)

This is equal to:

(gof)(3) = g(f(3))

we know that f(3) = 4

then:

g(f(3)) = g(4) = 1

(gof)(3) = 1

f) (fog)(6) = f(g(6))

We can see that:

g(6) = 3

then:

f(g(6)) = f(3) = 4

Concluding:

(fog)(6) = 4

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Answer:

4. {2,4,6,8}

5. [(-2, -1), (1, 8)}

9. {0, 2}

Step-by-step explanation:

The intersection of the given sets is the set that contains elements common to all of the given the sets.

Answer:

4x + 5 is a polynomial as well as a binomial.

Step-by-step explanation:

The expression 4x + 5 has two monomials 4x and 5 and this makes it a binomial. Now, the second thing to keep in mind is, every binomial is also considered a polynomial as well.