Fay is paid semimonthly. The net amount of each paycheck is $670.50.What is her net annual income?a. $17,433b. $4,023c. $16,092d. $8,046

Answers

Answer 1

Answer:

c. $16,092

Explanation:

• Fay is paid semimonthly, that is, ,twice a month,.

,

• There are ,12 months in a year,.

Thus, the number of paychecks she receives annually is: 2 x 12 = 24.

The net amount of each paycheck is $670.50.

In order to get her net annual income, multiply the net amount on each paycheck by the number of payments.

[tex]\text{Net Annual Income}=24\times670.50=\$16,092[/tex]

Fay's net annual income is $16,092.

Option C is correct.


Related Questions

Ann and Tom want to establish a fund for their grandson's education. what lump sum must they deposit at a 7% annual interest rate compounded monthly in order to have $60,000 in the fund at the end of 10 years?

Answers

Formula to calculate Principal with clompound interest:

[tex]\begin{gathered} P=\frac{A}{(1+\frac{r}{n})^{n\cdot t}} \\ \\ A=\text{Amount} \\ r=\text{Interest rate (decimals)} \\ n=\text{ number of times per unit t} \\ t=time \end{gathered}[/tex]

For the given situation:

A= 60,000

r= 7% =7/100= 0.07

n= 12 (as it is compounded monthly and a year has 12 months)

t= 10 years

[tex]\begin{gathered} P=\frac{60,000}{(1+\frac{0.07}{12})^{12\cdot10}} \\ \\ =\frac{60,000}{(1+\frac{0.07}{12})^{120}} \\ \\ \approx29,855.78 \end{gathered}[/tex]

Then, they must deposit approximately $29,855.75








a. On what interval(s) of x is f(x) positive?

b. On what interval(s) of x is f(x) negative?

c. On what interval(s) of x is f(x) increasing?

d. On what interval(s) of x is f(x) decreasing?

e. On what interval(s) of x does f have positive concavity?

f. On what interval(s) of x does f have negative concavity?

Answers

On (-∞, -2) ∪ (3,∞) f(x) is positive, On (-∞, -0.5) it is negative, On (0.5, ∞) it is increasing, in none of the intervals it is having positive concavity, On (-∞, ∞) it has negative concavity.

What X intervals are beneficial for fx?

Seeing as how f (x) = 0 there. A function’s “positive regions” are those times when it is above the x-axis. Y-values that are positive are where it is (not zero).

The portions of a function that are below the x-axis are known as its negative regions.

How can I determine the time intervals where f is positive?

You must first take the derivative, then make it equal to 0, and then determine which zero values the function is positive between in order to determine when a function is rising. In order to determine when the function is positive and, thus, rising, test values on all sides of these.

To know more about intervals, Visit:

https://brainly.com/question/1105176

#SPJ13

#8.Verify algebraically if the function is even, odd, or neither

Answers

g(x)= x^4 √(1+x)

g(-x) = (-x)^4 √1-x

g (-x) = x^4 √1-x

Since the obtained function is not the same or the opposite it is neither.

negative 37 over 24 times j minus 17 over 12

negative 37 over 24 times j plus 17 over 12

43 over 24 times j plus 1 over 12

negative 43 over 24 times j plus negative 1 over 12

Simplify the expression.

the expression negative one eighth j plus two thirds minus the expression five thirds j plus nine twelfths

negative 37 over 24 times j minus 17 over 12
negative 37 over 24 times j plus 17 over 12
43 over 24 times j plus 1 over 12
negative 43 over 24 times j plus negative 1 over 12


Which expression is equivalent to 3(−4.5b − 2.1) − (6b + 0.6)?

19.5b + 1.5
−19.5b − 1.5
−19.5b − 6.9
19.5b − 6.9

Answers

The Simplification of the expression negative one eighth j plus two thirds minus the expression five thirds j plus nine twelfths is "negative 43 over 24 times j plus negative 1 over 12". option D

The expression which is equivalent to 3(−4.5b − 2.1) − (6b + 0.6) is −19.5b − 6.9. option c

Simplification of fraction

negative one eighth j plus two thirds minus the expression five thirds j plus nine twelfths

= -1/8j + 2/3 - (5/3j + 9/12)

= -1/8j + 2/3 - 5/3j - 9/12

= -1/8j - 5/3j + (2/3 - 9/12)

= (-3j-40j / 24 + (8-9) / 12

= -43/24j + (-1)/12

The expression equivalent to 3(−4.5b − 2.1) − (6b + 0.6)

open parenthesis

= -13.5b - 6.3 - 6b - 0.6

collect like terms

= -13.5b - 6b - 6.3 - 0.6

= - 19.5b - 6.9

So therefore, the equivalent expression to 3(−4.5b − 2.1) − (6b + 0.6) is - 19.5b - 6.9

Read more on fraction:

https://brainly.com/question/11562149

#SPJ1

confused on this please help!!

Answers

Answer:

12.75

Step-by-step explanation:

it is the same as the other side just like the similar triangle is.

I'll give brainliest!!

Answers

1. 1/y squared
2. Y of the power of 4
3.Y of the power of 9
4.Y of the power of 6

msMario bought 3 yeard of ribbon for 1.50 how much would 5 yards of the same ribbon cost? explain how u got your answer

Answers

For 3 yards, it costs, 1.50.

So for one yard,

[tex]\frac{1.50}{3}=0.5[/tex]

Therefore for 5 yards,

[tex]5\times0.5=2.5[/tex]

If a1 = 7 and an3an-1 + 4 then find the value of a4.

Answers

A1 = 7

An = 3A(n-1) + 4. According to this, A2 would be= 3*7 + 4 =25

A1 = 7, A2 = 25, then the difference is d = 18

The general formula for an aritmethic progression is An = A1 + (n -1)d

For A4 = 7 + (4-1)*18 = 61

|-102.06|
Find the absolute value

Answers

Answer:

102.06

Step-by-step explanation:

Absolute values are always positive

Answer:

Step-by-step explanation:

102.06

Absolute value is just the positive of any value.

Hope this helps! Have a nice day!

Select the correct answer. Jonathan has 30 chocolates. He gives some chocolates to his friend David. He then gives Sarah half the number of chocolates that he gave David and gives Lily two-thirds of what he gave David. After giving away the chocolates, Jonathan has 4 chocolates left. If the number of chocolates Jonathan gives David is x, which equation represents the situation? How many solutions does this equation have? A. x + 1 2 ⁢ x + 2 3 ⁢ x = 30 − 4 , which has no solution B. x + 1 2 ⁢ x + 2 3 ⁢ x = 30 , which has infinitely many solutions C. x + 1 3 ⁢ x + 2 3 ⁢ x − 4 = 30 , which has one solution D. x + 1 2 ⁢ x + 2 3 ⁢ x + 4 = 30 , which has one solution E. 1 2 ⁢ x + 2 3 ⁢ x = x − 4 , which has no solution

Answers

The solution to equation x+ 1/2x+2/3x+4= 30 and has one solution x = 12 which is the correct answer would be an option (D).

The no. of chocolates given to Sarah = 1/2 of x = x/2

Then Lily has two-thirds of what he has given David. Following the distribution of the chocolates,

The number of chocolates provided to Lily is equal to two-thirds of the number of chocolates given to David.

The number of chocolates given to Lily Equals 2/3 of x = 2x/3

Now, the total number of chocolates delivered to David, Sarah, and Lily

= x+x/2+2x/3

Here LCM of 2 and 3 is 6

The Total no. of chocolates given to David, Sarah, and lily

= (6x + 3x+ 4x)/6

The total number of chocolates distributed to David, Sarah, and Lily is 13x/6.

Jonathan had four chocolates left after giving them out.

The number of chocolates left with Jonathan equals the total number of chocolates given to David, Sarah, and Lily.

⇒ 4 = 30 - 13x/6

⇒ 4 + 13x/6  = 30

⇒ 13x/6 = 30-4 = 26

⇒ x = 26×6/13 = 2×6

⇒ x = 12

Hence, the equation which represents the given situation is 30 - 13x/6 =4

Learn more about the equations here;

brainly.com/question/10413253

#SPJ1

ASAP i need help rn before i finish this test
The triangles shown are congruent.

What is a correct congruence statement for the triangles shown?

Answers

Answer:

SAS= Side, Angle, Side

Step-by-step explanation:

According to the image, GB congruent to XP, and LB congruent to PF. So, it means that both triangle have the same angle since they both have two congruent side.


P = 1,000 m
X =
x m
150 m width

Answers

Answer:tiny bit confused what the question is asking

length=350

Step-by-step explanation:

perimeter =(length+width )x2

perimeter/2

1000/2=(length+width )

500=(length+width)

500-150=350length

h(x)=−2x+2
Find h(−2).

Answers

Answer:

6

Step-by-step explanation:

when you change h[×] to h[-2] , -2x +2 change to -2[-2]+2

Write the equation of the line that is parallel to - 8x-6y = 5 that passes through thepoint (-9, 1)

Answers

First,we will find the slope of the line

Using 8x - 6y = 5

we will have to re-arrange the equation above to be in the slope-intercept form.

That is; it should be in the form y = mx + b

8x - 6y = 5

6y = 8x -5

y = 8/6 x - 5/6

slope = 8/6 = 4/3

In a parellel equation the slope are the same, hence the slope of our new equation is 4/3

Next, we find the intercept of the new equation;

Using the point (-9, 1) and slope(m) = 4/3

we will substitute into the equation below and then solve for b, where b is the slope of our new equation

y = mx + b

1 = 4/3 (-9) + b

1 = 4(-3) + b

1 = - 12 + b

add 12 to both-side of the equation

1+ 12 = b

13 = b

b= 13

Substituting m = 4/3 and b = 13 into the formula; y = mx+ b

y = 4/3 x + 13

[tex]undefined[/tex]

A backpack weighs 10 N. What is the mass of the backpack?

Answers

The mass of the backpack is 1.02 kilograms.

What is the mass of the backpack?

On earth, the weight of an object of mass M is given by:

W = M*g

Where g is the gravitational acceleration:

g = 9.8m/s^2

In this case, the weight is 10N, then we can write:

10N = M*9.8m/s^2

Solving this for M we get:

10N/(9.8m/s^2) = M = 1.02 kg

Learn more about weight:

https://brainly.com/question/2337612

#SPJ1

which graph represents the systems of inequalities? there are 4 graphs for this question total please help

Answers

Looking at the inequalities, it involves the 'less than or equal to' symbol. This means that the lines of both inequalities must be solid. In options B, C and D, one or two of the lines is broken. This is an indication that they don't represent the given inequality. We would check option A

Optiona

Which of the following is the equation that represents the graph?

Graph of a line the passes through the points negative 3 comma 0 and 0 comma negative 2.

y equals negative two thirds times x minus 3
y equals negative three halves times x minus 2
y equals negative three halves times x minus 3
y equals negative two thirds times x minus 2

Answers

y equals negative two thirds times x minus 2 is the equation of graph.

What is slope of line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

The given two points are 3 comma 0 and 0 comma negative 2.

i.e (3,0)(0,-2)1)

The formula for slope is (y₂-y₁)/(x₂-x₁)

slope = (-2 - 0) / (0 - 3)

= -2 / -3

The negative negative are multiplied we get positive

= 2/3

The standard form of a line is y = mx + b, where m is slope of line and b is y intercept.

slope(m) = 2/3

We can use either of points (0,-2)...x = 0 and y = -2

now sub and find b, then y intercept

-2 = 2/3(0) + b

-2 = b

so  equation is : y = 2/3x - 2

Hence y equals negative two thirds times x minus 2 is the equation of graph.

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ1

Raina and Leila are driving separate cars to Boston. They begin the trip with full gas tanks. The amount of gas (in gallons) remaining in the tank of each car depends on the number of miles driven, as shown below.

Answers

(a) Leila's car, 2 gallons

At 150 miles, Raina's car has 9 gallons of gas and Leila's car had 11 gallons of gas.

(b) 300, Raina's car

The amount of gas remaining is when the graphs intersect.Since the graph for Leila's car is higher than the graph for Raina's car before 300 miles, Raina's car will have less gas.

(a) Leila's car, 2 gallons At 150 miles, Raina's car has 9 gallons of gas and Leila's car had 11 gallons of gas.

(b) 300, Raina's car The amount of gas remaining is when the graphs intersect.

What's the graph about?

(a) At 150 miles, Raina's car has 9 gallons of gas and Leila's car had 11 gallons of gas. This can be seen by looking at the graph of the two cars' gas levels. The graph for Leila's car is higher than the graph for Raina's car at this point, so Leila's car has more gas.

(b) The amount of gas remaining is when the graphs intersect. This happens at 300 miles. Since the graph for Leila's car is higher than the graph for Raina's car before 300 miles, Raina's car will have less gas at this point.

Learn more about graph on

https://brainly.com/question/19040584

#SPJ2

What is a(b(x)) if a(x) = 3x 2 and g(x) = -3x + 1?

Answers

The equivalent composite function is expressed as  -9x + 5

Composite functions

Composite functions are also known as function of a function.

Given the following functions:

a(x) = 3x+2 and

b(x) = -3x + 1

Determine the value of a(b(x))

a(b(x)) = a(-3x+1)

a(b(x)) = 3(-3x+1) + 2

a(b(x)) = -9x + 3 + 2

a(b(x)) = -9x + 5

This gives the equivalent composite function.

Learn more on composite function here: https://brainly.com/question/10687170

#SPJ1

Last year, Carlos opened an investment account $5,200 with. At the end of the year, the amount in the account had increased by 6.5%. How much is this increase in dollars? How much money was in his account at the end of last year?

Answers

ANSWER

[tex]\begin{gathered} 338 \\ 5538 \end{gathered}[/tex]

EXPLANATION

The Principal is $5200;

Increase rate is; 6.5%

The increase in dollar is;

[tex]\begin{gathered} \frac{6.5}{100}\times5200 \\ =338 \end{gathered}[/tex]

Hence, the amount in the account at the end of the year;

[tex]\begin{gathered} A=P+I \\ =5200+388 \\ =5538 \end{gathered}[/tex]

Therefore, the increase in dollar is $338 while the amount in the account at the end of the year is $5538

What is the equation of the line that passes through the point (4,-8) and has a slope of −2

Answers

Answer:

See below

Step-by-step explanation:

Point (4,-8)  slope form would be

( y - -8) = -2 ( x -4)          

y+8 = -2x + 8       re-arrange to y = mx + b form

y = - 2x        

Solve for m.m- 15 = 20

Answers

Answer:

m=35

Explanation:

Given the equation:

[tex]m-15=20[/tex]

We solve for the value of m by adding 15 to both sides.

[tex]\begin{gathered} m-15+15=20+15 \\ m+0=35 \\ m=35 \end{gathered}[/tex]

The value of m is 35.

First add 15 from both sides.
The result will be m=35


What is the value of x + y² when x = 1 and y = 9?

Answers

Answer:

=82

Step-by-step explanation:

the value of

x + y²

putting x=1,y=9

we get,

1+(9)^²

=1+81

=82

Nakeisha needs to order some new supplies for the restaurant where she works. The restaurant needs at least 566 forks. There are currently 188 forks. If each set on sale contains 8 forks, which inequality can be used to determine xx, the minimum number of sets of forks Nakeisha should buy?

Answers

The inequality that can be used to determine the minimum number of set of forks Nakeisha should buy is xx ≥ (566 - 188) / 8.

What is the minimum set of forks she should buy?

The first step is to determine the appropriate inequality signs that can be used.

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The inequality sign that would be used is ≥.

The form of the inequality is: xx ≥ (least number of forks needed - forks they current have) / number of forks in one set

xx ≥ (566 - 188) / 8

To learn more about inequality, please check: https://brainly.com/question/5031619

#SPJ1

Answer:

566 < 188 + 8x

Step-by-step explanation:

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

y=0.75x+2

Step-by-step explanation: Slope as k and constant as b two points that showed by the graph: (0,2) (4,5)

so we can get 2=0*k+b b=2

5=4k+b

4k=5-2

4k=3

k=3/4

k=.75

Please help with this problem

Answers

Answer:

The answer is I think 16

Step-by-step explanation:

You can look at the figure beside andfind this answer

Hey there Ms or Mr, could you please help me out with this problem? Just a head up, this my homework for today not a quiz. it's about Trapezoids.

Answers

We have to relate the angles of the trapezoid in order to find the measure of BAD.

Given:

[tex]\begin{gathered} AB\mleft\Vert DC\mright? \\ AD\cong BC \end{gathered}[/tex]

Then

[tex]\begin{gathered} \angle BAD\cong\angle ABC \\ \angle ADC\cong\angle BCD \end{gathered}[/tex]

The angles are congruent because if AD and BC are congruent, and the lines are parallel, they sides will form the same angles.

Also, as the segment AD is "cut" by two parallel lines, the angles BAD and ADC are consecutive interior angles and are, therefore, supplementary.

Then, we can write:

[tex]\begin{gathered} m\angle BAD+m\angle ADC=180\degree\text{ and }\angle ADC=\angle BCD \\ \Rightarrow m\angle BAD+m\angle BCD=180\degree \\ 2x+(3x-5)=180 \\ 5x-5=180 \\ 5x=180+5 \\ 5x=185 \\ x=\frac{185}{5} \\ x=37 \end{gathered}[/tex]

Now, with the value of x, we can calculate the measure of BAD as:

[tex]m\angle BAD=2x=2\cdot37=74\degree[/tex]

Answer: the measure of BAD is 74°.

First person to help gets brainliest!!

Answers

The value of x from the equation represented by the given bar diagram is 20.

The equation is represented using the bar diagram and from the bar diagram be can observe that the equation will be the following equation mentioned below:

3.5 x + 12.5 x = 320                                        equation 1

The bar diagram represents 3.5 x + 12.5 x = 320  equation. Now we will simplify this equation and will find the value of x from this equation. The steps that need to be followed to simplify this equation are shown below;

3.5 x + 12.5 x = 320

16 x = 320

Divide both sides of equation by 16 , we will get

x = 320/16

x = 20

The value of x from the equation 3.5 x + 12.5 x = 320 is 20.

To know more about  bar diagram refer to the link:

https://brainly.com/question/1417364

#SPJ1

the three sided lengths are 7,8,9 classify the triangle as an acute obtuse or right triangle

Answers

Using the law of cosines to find m∠B:

[tex]\begin{gathered} b^2=a^2+c^2-2ac\cdot\cos (B) \\ 2ac\cdot\cos (B)=a^2+c^2-b^2 \\ \cos (B)=\frac{a^2+c^2-b^2}{2ac} \\ \cos (B)=\frac{8^2+7^2-9^2}{2\cdot8\cdot7} \\ \cos (B)=\frac{32}{112} \\ B=\arccos (\frac{32}{112}) \\ B=73.4\text{ \degree} \end{gathered}[/tex]

Since B is the largest angle (because it's opposite to the longer side), then angles A and C are smaller. In consequence, the three angles are smaller than 90°, which means that the triangle is acute

A particle moves along the x-axis so that at time t\ge 0t≥0 its velocity is given by v(t)=3t^2-18t+15.v(t)=3t2−18t+15. Determine all values of tt when the particle is at rest.

Answers

When a particle is at rest, the velocity = 0. Therefore, we equate the v(t) term to zero (0)

[tex]undefined[/tex]

Other Questions
periodic lubrication after the machinery is placed in service b. special reinforcement to the machinery platform c. major overhaul to extend the machinerys useful life by five years If the proportion of the total disposable income spent on consumer goods and services is 91.6 percent and if consumers spend 82.0percent of each additional dollar, what isInstructions: Round your responses to three decimal places.a. the APC?b. the APS?c. the MPC?d. the MPS? Help it was due yesterday Why was the universal declaration of human rights was created? I dont know how to find the median and the mode HELPP aolani, a calendar year cash basis taxpayer, owns and operates several tv rental outlets in virginia and wants to expand to other states. during 2022, aolani spends $14,000 to investigate tv rental stores in maryland and $9,000 to investigate tv rental stores in west virginia. aolani acquires the maryland operations, but not the outlets in west virginia. as to these expenses, aolani should: Which expression is equal to log(xy / z) ? Find the value of the monomial.-8m^4 n^4 for m = 0.5 and n =2 10. Personal eyeglasses provide as much protection asa. A face shieldb. Safety glassesc. Splash Proof chemical gogglesd. None of the above 15. Which statement best describes the central idea that Emerson discusses in this passage? (a) Describe in words a sequence of transformations that maps AABC toAA"B"C".(b) Write an ordered-pair rule for each transformation in the sequence. mark rarely goes out with friends and only attends social events when a family member is also present. he often cancels at the last minute and says he is sick. he exhibits behavior typical of which anxiety disorder? Which of the following examples illustrates an energy transfer between the atmosphere and hydrosphere? A. convection currents in the ocean mixing warmer and cooler water together B. plant roots absorbing water from the soil C. loss of heat from a geothermal vent to the surrounding cooler water D. polar ice reflecting the Sun's light back toward space How many gallons of gas will Justin need to drive 120 miles? Use a table or proportionas I need help with this questionif a certain piece of music is written in 3/4 time, how many eighth notes are required per measure of music? 11 to the power of 2 Why does Nietzsche believe that GOOD and EVIL have been replaced by "Good" and "Bad"? What do you think Nietzsche is trying to tell us? Find the volume of the following triangular prism. *15 points5 in6,1 in13 in7 in215.5 cubic inches220.5 cubic inches225.5 cubic inches227.5 cubic inches Which option best describes this type of reaction? which anwser show the best approximation of [tex] \sqrt[]{53} [/tex]1. 7.72. 8.13. 7.34. 7.1