James Marbury is the payroll accountant at All's Fair Gifts The employees of All's Fair Gifts are paid semimonthly. Lauren Stenn comes to him on April 2 and requests a pay advance of $1000, which Lauren will pay back in equal parts on the April 15 and May 15 paychecks Lauren is single with one dependent under 17 and is paid $51,680 per year Lauren contributes 3 percent of gross pay to a 401(k) and has $139 per paycheck deducted for a Section 125 plan.​

Answer:

d

Step-by-step explanation:

The dashes on the sides of the triangles mean that they are equal in length.

Isosceles triangle: 2 sides of equal length

Equilateral triangle: 3 sides of equal length

Triangle a doesn't have any dashes, so all the sides are different length.

Triangle b has 2 sides that each have the same number of dashes, so these sides are equal in length → Isosceles triangle

Triangle c has 2 sides that each have the same number of dashes, so these sides are equal in length → Isosceles triangle

Triangle d has 3 sides that each have the same number of dashes, so these sides are equal in length → Equilateral triangle

So

[tex]\\ \rm\hookrightarrow P(E)=\dfrac{|E|}{|S|}[/tex]

[tex]\\ \rm\hookrightarrow P(E)=250/500=1/2=0.5[/tex]

Second bag is more preferable

Answer:

Bag 1

Probability of picking a V = P(V) = 7/25 = 0.28

Bag 2

Probability of picking a V = P(V) = 250/500 = 1/2 = 0.5

You are more likely to pick a tile that is the letter V from Bag 2 since 0.5 > 0.28

Answer:

C

Step-by-step explanation:

On each linear pair, there is one of the Vertical angles and an angle shared between the two angles. This means we can use the fact that supplements of the same angle are congruent.

The basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines.

In the provided figure.

∠1 + ∠2 = 180 degrees ( linear pair of angles)...(i)

∠ 1 + ∠4 = 180 degrees ( linear pair of angles)...(ii)

According to transitive property, if a = b and b = c then a = c

Therefore,

∠1 + ∠2 = ∠1 + ∠4...(iii)

⇒∠2 = ∠4

Similarly, we can prove that

∠1 = ∠3

Therefore, we conclude that vertically opposite angles are always equal.

Hence, the basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".

Thus, statement c is correct.

Find out more information about vertically opposite angles:

https://brainly.com/question/18045519

#SPJ2

x= 105°

y= 75°

z= 105°

Answer:

170

Step-by-step explanation:

[tex]5!+50\\\\(5*4*3*2*1)+50\\\\120+50\\\\170[/tex]

Question

5! + 50

Step-by-step explanation:

about factorial

5!

=5 × 4 × 3 × 2 × 1

=20 × 3 × 2 × 1

=60 × 2 × 1

=120 × 1

=120

the result of the factorial 5! is 120

now we just add 120+50

120 + 50

120

50

———+

170

so the result of 5! + 50 is 170

I hope this helps

Its figure A cause see how it says small squares thats the one

thanks

your gurl unique

Answer:

Step-by-step explanation:

Algebraic expression   Constant      Variables    Operation

3n + 8                                8                    n                 addition

3x - 2                                  -2                  x                   subtraction

4(N + 5) =4N + 20             20                N                      addition

2a + 3b - c                           0              a,b,c                 addition & subtraction

The comparison between the standard form of the cosine and f(x)=34cos(3x)+4 shows that the amplitude of the function given is 34.

The standard form of the cosine is given by:

               y=acos(bx+c)+d

where:

a= amplitude - half the distance between the maximum and minimum values of the function. The value of a will be |a|.

b= the number of cycles the function completes in an interval of from 0 to 2π. This parameter influences in the period since is [tex]\frac{2\pi }{b}[/tex].

c= horizontal shift

d= vertical shift

The question asks the value of amplitude. Therefore, you should compare the standard form with equation function given.

Thus, you have:

y=acos(bx+c)+d

f(x)=34cos(3x)+4

The comparison shows: a=34, b=3, c=0 and d=4

Hence, the amplitude of the function f(x)=34cos(3x)+4 is equal to 34.

Read more about the cosine functions here:

https://brainly.com/question/10638674

Answer:

3/4

Step-by-step explanation:

I took the teat K 12

I suppose you mean the integral

[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx[/tex]

Break up the integrand into partial fractions:

[tex]\dfrac{x}{(x+1)^2 (x+2)^2} = \dfrac{a}{x+1} + \dfrac{b}{(x+1)^2} + \dfrac{c}{x+2} + \dfrac{d}{(x+2)^2}[/tex]

[tex]\dfrac{x}{(x+1)^2 (x+2)^2} \\ = \dfrac{a(x+1)(x+2)^2 + b(x+2)^2 + c(x+1)^2(x+2) + d(x+1)^2}{(x+1)^2 (x+2)^2}[/tex]

[tex]\dfrac{x}{(x+1)^2 (x+2)^2} \\ = \dfrac{(a+c)x^3+(5a+b+4c+d)x^2+(8a+4b+5c+2d)x + 4a+4b+2c+d}{(x+1)^2(x+2)^2}[/tex]

[tex]x = (a+c)x^3+(5a+b+4c+d)x^2+(8a+4b+5c+2d)x + 4a+4b+2c+d[/tex]

Solve for the coefficients:

[tex]\begin{cases}a+c=0 \\ 5a+b+4c+d=0 \\ 8a+4b+5c+2d=1 \\ 4a+4b+2c+d=0\end{cases} \implies a=3,b=-1,c=-3,d=-2[/tex]

So we have

[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx= \int \left(\frac3{x+1} - \frac1{(x+1)^2} - \frac3{x+2} - \frac2{(x+2)^2}\right) \, dx[/tex]

[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx= 3\ln|x+1| + \frac1{x+1} - 3\ln|x+2| + \frac2{x+2} + C[/tex]

[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx= \ln|x+1|^3 - \ln|x+2|^3 + \frac{3x+4}{(x+1)(x+2)} + C[/tex]

[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx= \boxed{\ln\left|\frac{x+1}{x+2}\right|^3 + \frac{3x+4}{(x+1)(x+2)} + C}[/tex]

Answer:

9.48683

Step-by-step explanation:

using the formula:

Find the difference between coordinates:

(x2-x1) = (6 - -3) = 9

(y2-y1) = (1 - 4) = -3

Square the results and sum them up:

(9)2 + (-3)2 = 81 + 9 = 90

Now Find the square root and that's your result:

Exact solution: √90 = 3√10

Approximate solution: 9.4868

Answer:

25/13 miles in an hour

Step-by-step explanation:

So she walks 1/13 mile per 1/25 hour.

To find the miles in an hour, just multiply the 1/25 hour by 25/

1/25 hour * 25 = 1 hour.

1/13 mile * 25 = 25/13 miles in an hour

Answer:

1/18

Step-by-step explanation:

Each cube can have 6 outcomes, from 1 to 6.

6 × 6 = 36

The total number of outcomes is 36.

The desired outcomes are only 1, 4 and 4, 1.

There are only 2 desired outcomes.

p(1, 4 or 4, 1) = 2/36 = 1/18

Answer: 1/18

Using it's concept, it is found that the range for this situation is given by:

C. All real numbers greater than or equal to 0 and less than or equal to 7.66.

The range of a function is the set that contains all possible output values.

In this problem, the output values are the height of the ball, which researching the problem on the internet, is represented by a table in which the minimum height is of 0(when it hits the ground) and the maximum height is of 7.66 feet, hence the correct option is:

C. All real numbers greater than or equal to 0 and less than or equal to 7.66.

More can be learned about the range of a function at https://brainly.com/question/24374080

Answer:

The length is 5cm.

Step-by-step explanation:

(x)(x+7) = 60

x^2 +7x = 60

x^2 +7x - 60 = 0

x^2 + 12x - 5x = 0

Answer:

[tex]lenght = 12cm \\ width = 5cm[/tex]

Step-by-step explanation:

[tex]area \: = lenght \times width \\ area = 60cm { }^{2} \\ let \: width = xcm \\ let \: lenght = (x + 7)cm \\ 60 = \: (x)(x + 7) \\ 60 = x ^{2} + 7x \\ x {}^{2} + 7x = 60 \\ x {}^{2} + 12x - 5x - 60 = 0\\ x(x + 12) - 5(x + 12) \\ (x + 5)(x + 12) \\ x = 5 \: or \: x =- 12 \\ since \: width \: cant \: be \: negative \\ width = 5cm \\ lenht = 5 + 7 = 12cm[/tex]

Answer:B

Step-by-step explanation:

I think it should be B u= -1

Answer:

1. x= 8√2

2. x = 14 y=14√2

3. x = 18√2 = 9√2

4. x= 18/√2 =9√2

5. x= 8/√2 = 4√2

6. x = 10/√2 i.e 5√√2

Answer:

H=100

Step-by-step explanation:

To solve H simply simplify both sides of the equation then isolate the variables.

Answer:

h=100

Step-by-step explanation:

h/5 -28=-8

put like terms together( unknowns on one side, knowns on the other)

h/5= -8+28  

h/5= 20

Multiplying both sides by 5 to get rid of the denominator

5(h/5) =5(20)

h=100

Answer:

2 hours

Step-by-step explanation:

12:30 + 1 hour = 1:30

1:30 + 1 hour = 2:30

She was at the dog park with her dog for 2 hours.

Answer:

your answer is right

Step-by-step explanation:

I took the test

Answer:

it’s A

Step-by-step explanation:

ur welcome

Answer:

The answer for this question is 6,304

Answer:

AD=25cm

Step-by-step explanation:

BC//AD

XY is also parallel to BC and AD as it bisects BA and CD.

BX=XA, CY=CD

so tge decreasing in length BC to XY is the same with XY to AD

29-27=2

27-2=25

That is why AD= 25cm

Answer:  

y = -2/3x + 18

Step-by-step explanation:

to find the y intercept you should input the points 15,8

sooo

8 = -2/3(15) + b

8 = -10 + b

b = 18

Answer:

The answer is 342 in.^{2}.

The marginal tax rate that will apply to a single taxpayer with a taxable income of $75,000 is 22%.

It should be noted that a tax simply means the compulsory levy that's paid by the individuals and businesses to the government.

In this case, the marginal tax rate that will apply to a single taxpayer with a taxable income of $75,000 is 22%. This is for people in the income bracket of $38701 to $82500.

Learn more about tax on:

https://brainly.com/question/25783927

22% is the marginal tax rate that will apply to a single taxpayer with a taxable income of $75,000.

Tax is a mandatory financial charge or levy imposed by the government on individuals, businesses, or other entities in order to fund public expenditures and services.

It is a way for the government to generate revenue to finance various public goods and services, such as infrastructure, healthcare, education, defense, and social welfare programs.

The marginal tax rate that will apply to a single taxpayer with a taxable income of $75,000 is 22%.

This is for people in the income bracket of $38701 to $82500.

To learn more on Tax click:

https://brainly.com/question/12611692

#SPJ6

Answer:

5 buses

Step-by-step explanation:

each bus will take 200 people except for and the fifth bus will take 50

Answer:

A.g=11

Step-by-step explanation:

26=7(g-9)+12

26=7g-63+12

7g=77

g=11