Find last year's salary if, after 2% pay raise, this year's salary is 37,740

Answers

Answer 1

The last year's salary is found as 33078.43.

How do you calculate the percentage of a number?

Divide the value by the total value as well as multiply the result by 100 to get the percentage. (amount/total amount), the formula for determining the percentage is 100%.

A percentage is defined as a portion of the whole expressed in the form of 100. There are two ways to calculate a percentage:

The unitary method is implemented.By changing the denominator of the fraction to 100.

As per the given question;

The salary for the current year is given as  37,740.

There is the increase in 2%.

Let the last year's salary be x.

Then 2% of x will be;

x + 2%of x = 37,740

x + 2x/100 = 37,740

x + 0.02x = 37,740

1.02x = 37,740

x =  37,740/1.02

x = 33500

Therefore, the value of last year's salary is was 33,500.

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Related Questions

Find the values of x and y.

PLEASE HELP ME I DONT GET THIS

Answers

Answer:x=60 y=61

Step-by-step explanation:

lmk if you want an explanation

You deposit money in an account that earns simple
interest at an annual rate of 6%. After 8
years, the account earns $360 in interest. How much money did you deposit in the account?

Answers

By writing an exponential equation, we can conclude that the initial deposit is of $606.22

How much money did you deposit in the account?

Here we know that we have an annual rate of 6%, so if you deposit an initial amount of A, the amount of money that the account has after t years is:

M(t) = A*(1 + 6%/100%)^t = A*(1.06)^t

Now, you know that after 8 years you earn (in interest) $360, then we can write:

M(8) - A = 360

A*(1.06)^8 - A = 360

Now we can solve that equation for A.

A*( (1.06)^8 - 1) = 360

A =  360/( (1.06)^8 - 1) = 606.22

The initial deposit is of $606.22

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Solve. Round your answer to the nearest tenth.

90.97 ÷ 8.6


Please show all of your work

Answers

Answer:

10.6

Step-by-step explanation:

Answer:

10.6

Step-by-step explanation:

90.97 divided by 8.6 = 10.57790697

rounded to the nearest tenth = 10.6

3) Which two recipes have equivalent ratios of cups of flour needed to the number
of cookies?
Recipes
Peanut Butter
Sugar
Chocolate Chip
Macadamia Nut
7th Grade Home Study Due 09/21/22
Cups of Flour Needed
3
4
2
3
Number of Cookies
48
64
25
27
Math-Aids Com

Answers

8688(?hfgdfchhbhcbjbhgnvgbj

Please help me fast. Trying to figure this out. Answer a-C. You don’t need to explain

Answers

Answer:

The value of b would be $25 since it's the initial amt. The value of m would be $8. The equation would be y=8x+25

14+6divided by 2=20 divided by 2

=10

is your cousin correct?

(Answer needed)

Answers

Answer:

No

Step-by-step explanation:

Following pemdas (parentheses exponents multiplication addition subtraction) you would do division first so 6/2 equals 3 then 14+3=17 divided by 2 equals 8.5

Can someone help me please

Answers

Answer: B': (-3, 4)

C': (-3, 0)

D': (-2, 0)

E': (-2, 4)

Step-by-step explanation:

270 degrees counterclockwise=

(360-270) degrees clockwise=90 degrees clockwise

In a 90 degree clockwise rotation about the origin for this rectangle, the x and y coordinates of the rectangle's edges are swapped, but the y-coordinates are negated. This is because the transformation is happening over the x-axis, where the y-values will be changing signs while the x-values will still have the same signs.

B: (-4, -3) ==> (-3, -4) ==> B': (-3, 4)

C: (0, -3) ==> C': (-3, 0)

D: (0, -2) ==> D': (-2, 0)

E: (-4, -2) ==> (-2, -4) ==> E': (-2, 4)

3-4x=23
I’m stuck and need help

Answers

Answer:

Step-by-step explanation:

Simplifying

3 + -4x = 23

Solving

3 + -4x = 23

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -4x = 23 + -3

Combine like terms: 3 + -3 = 0

0 + -4x = 23 + -3

-4x = 23 + -3

Combine like terms: 23 + -3 = 20

-4x = 20

Divide each side by '-4'.

x = -5

Simplifying

x = -5

Write an explicit and a recursive formula for the sequence.
1, 7, 13, 19, 25, ...
Write an explicit formula. ▸
an (Simplify your answer.)

Answers

Answer:

The common difference equals: 6

The sum of the sequence equals: 176

The explicit formula of this sequence is:  a_n=1+(n-1)*6

The recursive formula of this sequence is: a_n=a_((n-1))+6

1,7,13,19,25,31,37,43,49,55,61...

Step-by-step explanation:

nice :0

mals
For how many animals is (p V q) Ar true?
O 15
O 17
O 20
O 22

Answers

Answer:

17

Step-by-step explanation:

help me please 2-7
2. Every Tuesday that Yolanda's family has visited a specific local restaurant, the
Nids meals have been free. When Yolanda's family visits that restaurant next
Tuesday, the kids' meals will be free

Answers

The given statement about when next they visit the restaurant that the meals will be free is an example of; inductive reasoning.

What type of reasoning was used?

Inductive reasoning is a type of reasoning that involves forming general theories from specific observations. Observing something happen repeatedly and concluding that it will happen again in the same way is an example of inductive reasoning.

Deductive reasoning is a type of reasoning that involves forming specific conclusions from general premises. An example is; Everyone in this class is an English major; Jesse is in this class; therefore, Jesse is an English major.

Now, from the given question, it was observed that Every Tuesday that Yolanda's family has visited a specific local restaurant, the Nids meals have been free. Now, using that to conclude that when next he visits the restaurant that the meals will be free is an example of inductive reasoning.

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The answer choices in the picture are:

A. a reflection over the line x=6

B. a dilation with a scale factor of 6

C. a 180 degrees clockwise rotation about the origin

D. a 90 degree clockwise rotation about the origin

Answers

Answer:

A. A reflection over the line x = 6

Step-by-step explanation:

You can see in the picture if you follow the line every edge has the same

Number x=6

Find the distance between two points.
P(5\sqrt{x} 3,7\sqrt{x} 5),Q(\sqrt{x} 3,-\sqrt{x} 5)

Answers

The distance between the two points is approximately 19.18 units

The length of the line segment connecting any two points is referred to as their distance. In coordinate geometry, the distance formula is usedto calculate the distance between two points.

In 1731, the distance formula itself was first made public. Pythagorean distance is another name for Euclidean distance. The Pythagoras is used to derive the distance formula.

If two point are given as A [tex](x_1,y_1)[/tex] and B [tex](x_2,y_2)[/tex] then the distance between the two points or the length of AB is calculated using the formula:

[tex]AB = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

The co ordinates of the two points are given as [tex](5\sqrt{3},7\sqrt5 )[/tex] and [tex](-\sqrt{3},-\sqrt{5} )[/tex].

Therefore distance between the points will be given by:

[tex]=\sqrt{(5\sqrt{3} - \sqrt{3} )^2 + (7\sqrt{5} -(-\sqrt{5} )^2}\\=\sqrt{(4\sqrt{3})^2+(8\sqrt{5})^2 }\\=\sqrt{48+320}\\=\sqrt{368}\\\approx19.18[/tex]

The distance between the two points is approximately 19.18 units.

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The graph above shows the graphs of the cost (in green) and revenue (in blue) functions for a company that manufactures and sells small radios.

a) How many radios must be produced and sold to break even?
Answer:
b) What is the dollar amount coming in and going out if the company just breaks even?
Answer:
c) Use the formulas to write the company's profit function, (), from producing and selling radios.
(Notice in this problem, you must enter the entire function, not just the right hand side)
Answer:
d) How much profit will the company earn if it produces and sells 500 radios?
Answer:

Answers

The company must sell 400 radios to break even, i.e, when the revenue function and cost function is same.

The sum of the units sold times the price per unit is the revenue. Multiply the output level by the pricing function to get the revenue function.

The cost function is the total cost of production of the item which includes the cost of raw materials, labor, transport and establishment costs.

The cost function and the revenue function is given as:

Cost function is C(x) =5000 + 7.5x

And the revenue function is R(x) = 20x

a)In the break even point cost will be equal to revenue

so, C(x)=R(x)

or,5000+7.5x=20x

or,12.5x=5000

or, x=5000÷12.5

or, x=400

The number of radios produced to break even is 400.

(b)When the company breaks even then x=400

∴R(200)=200×20=8000

So the amount of money is dollars that is coming in or going out is given by 8000.

(c)We know that the profit=Revenue - cost

So the required profit function is given by:

p(x)=R(x)-C(x)

or, p(x)=20x-5000-7.5x

or,p(x)=12.5x-5000

(d)The company sells 500 radios

Therefore profit will be given by

p(500)=12.5×500-5000

or,p(500)=6250-5000

or, p(500)=1250

So on selling 500 radios the company will earn $1875.

Disclaimer: The revenue and cost function of the equation are  

C(x) =5000 + 7.5x and  R(x) = 20x .

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4/6 ÷ 4 i need to use division to figure this out

Answers

Answer: 1/6

Step-by-step explanation:I hope i have helped u have a wonderful day or night!

A square has side lengths that measure units 2√5 units

Answers

We get the perimeter 8 √ 5 units as and the area as 10 units² .

We are given that a square has side lengths that measure 2√5 units.

We know that, the perimeter of square is:

P = 4 × side units

P = 4 × 2 √ 5 units

P = 8 √ 5 units

We also know that the area of square is:

A = side²

A = ( 2 √ 5 units ) ²

A = 2 × 5 units²

A = 10 units²

Therefore, we get the perimeter 8 √ 5 units as and the area as 10 units² .

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Your question was incomplete. Please find the content below.

A square has side lengths that measure 2√5 units. Find perimeter and area.

Write an expression for the total length of the line segments, and simplify it.
z z 8 and x x x

HELPPP PLEASEEEE

Answers

Answer:   time4learning

Step-by-step explanation:

You walk 14 miles to a shoe store. Then you walk another 15 miles to a music store. How many miles have you walked in all?

Answers

Answer:

14+15=29 or 14x15=210

Step-by-step explanation:

.

Use the table to find how many quarts are equivalent to 7 gallons.

There are
quarts in 7 gallons.

Answers

28 quarts are equivalent to 7 gallons

How to find how many quarts are equivalent to 7 gallons?

The table represents a proportional relationship or proportional linear function

A proportional linear function is represented as

y = kx

Where

k represents the proportionality constant

y represents the number of quarts

x represents the number of gallons

When x = 14 and y = 56, we have:

56 = 14k

Divide by 14

k = 4

Substitute k = 4 in y = kx

y = 4x

When x = 7, we have

y = 4 * 7

Evaluate

y = 28

Hence, 28 quarts are equivalent to 7 gallons

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Find the 98th term of the arithmetic sequence 8, 24, 40, ...8,24,40,...

Answers

Answer:

1576

Step-by-step explanation:

The arithmetic sequence goes up by 16 each term. So if you are trying to find the 98th term, multiply 16 by 98. This results in the number 1568. Now because the arithmetic sequence starts at 8, simply add 8 to the number, and the answer is 1576

On the coordinate plane, the segment from U(4, -6) to V(-8, -11) forms one side of a
rectangle. The rectangle has a perimeter of 78 units. Find the area of the rectangle.
Write your answer as a whole number, decimal, or simplified radical. Do not round.
___ square units

pls help me

Answers

The area of the rectangle = 338 square units

The co-ordinate plane has two axes X and Y.

The points in the co-ordinate plane is given as U(4, -6) to V(-8, -11).

i.e., (x₁, y₁) = (4, -6) and (x₂, y₂) = (-8, -11)

The distance between these points are considered as a side of a rectangle.

Distance between U(4, -6) and V(-8, -11) =  [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                                                               = [tex]\sqrt{(-8-4)^2+(-11--6)^2}[/tex]

                                                               = [tex]\sqrt{(-12)^2+(-5)^2}[/tex]

                                                               = √169

                                                               = 13 units

So the length of one side of rectangle, l = 13 units

Let 'w' be the width of the rectangle.

Also perimeter of the rectangle = 78 units

⇒  2(l +w) = 78

⇒ l +w = 39

⇒ w = 39 -l

⇒ w = 39 - 13

⇒ w = 26 units

Area of the rectangle = length x width

                                    = l x w

                                    = 13 x 26

                                    = 338 square units

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if (x)=5x+4 find (3)?

Answers

(X)= 5x +4
(3)= 5(3) +4
Answer is 18

Throwback Thursday
How much would a $75
vacuum cost with a 8%
sales tax added to it?
(Explain how to get it please)

Answers

Answer:

$.75.08

Step-by-step explanation:

First you need to know how much is the sales tax

8% - 8 cents

Then add the sales tax to the value of the vaccum cleaner

75 + 8 cents = $. 75.08

Answer

$ 75.08

Which of the following functions is graphed below?
(Picture included)

Answers

Answer:

B. y=|x+6|-3                                            

Joel noticed that when he runs, his heart begins to beat rapidly. Joe wants to do an experiment to see if his heart beats faster the longer he runs. Which is the best design for Joel‘s experiment?
a. Joel should get a group of people to run. Then he should ask them what their heart rates were after one minute.
b. Joe should ask someone to run at one speed. Then he should run the same amount of time at another speed.
c. Joel should run at a constant speed and measure his heart rate after different amounts of time has passed.
d. Joel should run different amounts of time at many different speeds and measured the heart rate during each run.

Answers

Answer:

C

Step-by-step explanation:

We can go through the process of elimination to solve the question.

A is incorrect because they are only running for a minute and the variation between time and heart rate cannot be measured.

B is incorrect because there are too many variables to account for and they are both running for the same amount of time.

D is incorrect because there are too many variables to account for and it is not a fair test as he is running at many different speeds (you can only change the independent variable which is the time).

Hence, C is the answer. It is a fair test as he is running at different speeds and keeping everything else the same.

How to write one billion,three hundred million,two hundred and sixty six thousand in figure

Answers

Answer:

1,300,266,000

Step-by-step explanation:

Billion - 1

Hundred Million - 3

Ten Million - 0

Million - 0

Hundred Thousand - 2

Ten thousand - 6

Thousand - 6

Hundred - 0

Tens - 0

Unit - 0

ANSWER THE FOLLOWING WITH COMPLETE SOLUTIONS:

Answers

The solution of the rational inequality are-

x ≤ 9 x > 1What is meant by the rational inequality?

A rational inequality is one that includes a rational expression.

To solve a rational inequality, first locate the zeroes (from the denominator) and also the undefined points (from the denominator). These zeroes and undefined points are used to divide this same number line into intervals. Then you locate the rational's sign on each interval.

1. (3x - 1)/(x + 4) ≤ 2

Solving the equation.

3x - 1 ≤ 2(x + 4)

3x - 1 ≤ 2x + 8

Placing the constants and the variable on different side.

3x - 2x ≤ 8 + 1

x ≤ 9

Thus, the value of 'x' is less than equal to 9.

2.  2x/(x + 1) > 1

Simplifying;

2x > x + 1

Placing the constants and the variable on different side.

2x - x > 1

x > 1

In this, the value of the x is less than 1.

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PLEASE HELPPP
You are given a bag with 3 cubes (1 green and 2 white). You put all 3 cubes in a bag and shake the bag and pick a cube. If you pick a green cube, you get 2 points. If you pick a white cube, you get 1 point.

If you play the game 15 times, how many times do you expect to select a green cube?



a)


5



b)


10



c)


15



d)


20

Answers

Answer: a) 5

Step-by-step explanation:

Answer:

A:5

Step-by-step explanation:

I say 5 times because you said '1 green cube and 2 whites' it is very possible you can get green 5 times but 10, 15, and 20 times seems a bit lucky is maybe the word i'm looking for but overall i say 5 because 5 is possible. Virtual smile ; )

I really hope i helped

4.) Connor went to the fair with $22. He bought a hot dog and a coke for $5 and planned to spend the rest of his money on rides that cost $1.50 each. Write and solve an inequality to represent the number of rides that Connor can afford. ​

Answers

The inequality represents the number of rides that Connor can afford is 1.50x+5≤22 and he can ride 11 rides

The amount Connor had when he went to the fair = $22

The cost of a hotdog and coke = $5

The cost of each ride = $1.50

Consider then number of rides he ride as x

Then, the equation of the inequality is

1.50x+5≤ 22

Solve the inequality

1.50x+5≤ 22

1.50x ≤ 17

x ≤ 11.33

He can afford 11 rides with the money he has

Hence, the inequality represents the number of rides that Connor can afford is 1.50x+5≤22 and he can ride 11 rides

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Suppose the value of y and the value of x vary together at a constant rate of change (so that Δ y = 0.5 ⋅ Δ x ), and y = 1.5 when x = 3 . We are given that y = 1.5 when x = 3 . Plot a point on the graph to represent these values

Answers

Graph with points x=3 and y =1.5

In mathematics, a histogram can be defined as a graphical or graphical representation of data or values ​​in an organized manner.

Points on a graph usually represent a relationship between two or more things.

We can also represent the data using a bar chart. The quantity of each supply is represented by bars. The higher the bar, the more supplies or items are used.

The representation of  information in pictures is called pictograms. Several elements are represented by each image.

A bar chart is a representation of numerical data using rectangles (or bars) of equal width and variable height.

Line charts use points connected by lines to show  changes over a period of time.

Pie charts are also known as pie charts. It shows how a whole is divided into different parts.

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According to da Vinci, how were the "ancients" incorrect? In approximately __________ percent of the cases, abducted children are returned to the parent who was left behind. The production of carbon dioxide during respiration in aerobic tissues lowers the ph in erythrocytes, which in turn ________ the affinity of oxygen binding to hemoglobin. machine a, working alone at its constant rate, produces x pounds of peanut butter in 12 minutes. machine b, working alone at its constant rate, produces x pounds of peanut butter in 18 minutes. how many minutes will it take machines a and b, working simultaneously at their respective constant rates, to produce x pounds of peanut butter? question what is an expression equivalent to 6(24) using the distributive property? drag and drop the appropriate number into each box. The White Mans Burden: Some have read this poem as sarcastic, a condemnation of imperialism rather than a celebration of it. Do you agree with that reading? Why or why not? Aflatoxins can taint ________, leading to massive recalls due to the toxic nature of these compounds. The most important earth resources satellite series was started in the 1970s and is known as ________. group of answer choices giannis corporation purchases debt investments as trading securities at a cost of $150,000 on december 1. this is its first and only purchase of such securities. on january 5, giannis corporation a hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 2.0 m/s, skates by with the puck. after 1.40 s, the first player makes up his mind to chase his opponent. if he accelerates uniformly at 0.22 m/s2, determine each of the following. Societies whose subsistence derives from the rearing of domesticated animals are called ________ societies. what did caesar forced the senate to name him when he returned to rome why was it necessary to add the thirteenth, fourteenth, and fifteenth amendments to the u.s. constitution following the civil war? Part 1 of 2 Question content area top Part 1 A bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 13 minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 15 minutes. a. What equation can you use to find the distance of the flowerbed from the hive? b. How far is the flowerbed from the hive? hich of the following modern sociological theories states that the best way to analyze society is to identify the purpose that different aspects or elements play in the overall structure of society? you are assessing a middle-aged unconscious man who is lying in bed. his skin is cool and clammy. his heart rate is 124 beats/min, his respiratory rate is 140 breaths/min, and his blood pressure level is 74/52 mm hg. when you established iv access, he moaned. he has not opened his eyes or moved. you examine his eyes and note they are twitching with pupils at 3 mm and equal bilaterally. what is this patients gcs score? which compound(s) will not form a yellow precipitate when treated with excess iodine in the presence of naoh? select the unreactive structure(s): How far could you travel walking backwards in 15 minutes based on you speed for the 5 meter trial? An event that affects the financial position of a company but does not include an exchange with a separate economic entity is a(n):_______ professor bryson has submitted a research article he authored to a scientific journal. what happens next?