find last years salary if after a 2% pay raise this years salary is $40,290

Answer:

Hello,

Step-by-step explanation:

4)

[tex]u_n=1+3*n\\u_{12}=1+3*12=37\\[/tex]

5)

[tex]u_n=-14+4*n=\\u_{10}=-14+4*10=26\\[/tex]

6)

[tex]u_n=\dfrac{5}{3} +\dfrac{n}{3} \\\\u_{16}=\dfrac{5}{3} +\dfrac{16}{3} =\dfrac{21}{3} =7[/tex]

Answer:

For this problem, x has multiple values, so we will solve for both.

Step-by-step explanation:

[tex]x^2+10x-11=11-11\\x^2+10x-11=0\\[/tex]

Quadratic rule

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\mathrm{For\:} a=1,\:b=10,\:c=-11[/tex]

[tex]x_{1,\:2}=\frac{-10\pm \sqrt{10^2-4\cdot \:1\cdot \left(-11\right)}}{2\cdot \:1}[/tex]

Dealing with radicals

[tex]\sqrt{10^2-4\cdot \:1\cdot \left(-11\right)}\\=\sqrt{10^2+4\cdot \:1\cdot \:11}\\=\sqrt{10^2+44}\\=\sqrt{100+44}\\=\sqrt{144}\\=\sqrt{12^2}\\=12\\[/tex]

Multi-solution expression

[tex]x_1=\frac{-10+12}{2\cdot \:1},\:x_2=\frac{-10-12}{2\cdot \:1}[/tex]

Solve for x₁

[tex]\frac{-10+12}{2\cdot \:1}\\=\frac{2}{2\cdot \:1}\\=\frac{2}{2}\\=1[/tex]

Solve for x₂

[tex]\frac{-10-12}{2\cdot \:1}\\=\frac{-22}{2\cdot \:1}\\=\frac{-22}{2}\\= -\frac{22}{2}\\= -11[/tex]

Thus, x has 2 values for 2 different numbers:

x₁ = 1

x₂ = -11

➲ Hope this helps!

Answer: i think the overall shape of a baseball bat would be more rectangular

Step-by-step explanation:

reason for thinking so: because a baseball bat depending on size, would normally fit into a rectangular box

Answer: 24 seconds

Step-by-step explanation:

20/50=0.4

0.4*60=24

Answer:

Step 1: 1605 - 75 = 1530

Step 2: 1530 / 255 = 6

Step-by-step explanation:

The value of the given expression is  -121/ 30.

PEMDAS stands for parentheses, exponents, multiplication, division, addition, then subtraction. It is basically the rule of the order in which a mathematical expression must be solved.

Here, we are given an expression- -2/3 (1.5 ÷ 0.25 ÷ 5/4) -5/6

It can be written as -2/3 (15/10 ÷ 25/ 100 ÷ 5/4) -5/6

= -2/3 (3/2 ÷  1/4 ÷ 5/4) -5/6

As per the rules of PEMDAS, we first deal with the terms inside the bracket-

(3/2 ÷  1/4 ÷ 5/4) = (3/2 × 4 × 4/5)

= (3 × 2 × 4/5)

= 24/5

Thus, the expression becomes-

-2/3 (24/5) -5/6

= -48/ 15 - 5/6

LCM of 15 and 6 is 60

⇒ -(48 × 4)/ 60 - (5 × 10)/ 60

-192/ 60 - 50/ 60

= (-192 - 50)/ 60

= -242/ 60

= -121/ 30

Thus, the value of the given expression is  -121/ 30.

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Answer: 9/19

Step-by-step explanation:

9/19=0.4737

5/11=0.4545

7/15=0.4666

9/19 has the largest decimal making it largest.

Answer:

C.

Step-by-step explanation:

[tex]3 \div 10 = 0.3 < 0.4[/tex]

Answer:

C

Step-by-step explanation:

All work and the answer is provided in the attached screenshot! :)

Answer:

Where is the diagram?

Step-by-step explanation:

Answer:

M would be at (0,-2)

Step-by-step explanation:

The question asks you to rotate the image 180 degrees clockwise. Clockwise means towards the right, such as how a clock moves. Each axis is 90 degrees, so by moving it twice would land at (0,-2).

A horizontal line (such as the x-axis) is 180 degrees, so by mirroring the point, you would see the point is at (0,-2).

The percentage of 0 - 17 in 2015 is 23.97% and the percentage is decreasing by 0.048% in 2015

The equation of the function is given as

P(x) = 26x^-0.03

In 2015, x = 15

Substitute x = 15 in the equation P(x) = 26x^-0.03

P(15) = 26 * 15^-0.03

Evaluate the expression

P(15) = 23.97

Hence, the percentage of 0 - 17 in 2015 is 23.97%

The equation of the function is given as

P(x) = 26x^-0.03

Differentiate the function

P'(x) = -0.03 * 26x^-1.03

In 2015, x = 15

Substitute x = 15 in the equation

P'(15) = -0.03 * 26 * 15^-1.03

Evaluate

P'(15) = -0.048

Hence, the percentage is decreasing by 0.048% in 2015

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The economic value added (EVA) for Home Depot in the fiscal year, 2017, is $6,463.60 million.

Economic value added (EVA) measures a company's financial performance or economic profit.

EVA is based on the residual wealth of the company for the fiscal year. It measures the value a company generates from its invested funds at the cost of capital.

EVA is calculated by deducting the cost of capital from the operating profit after tax (NOPAT).

2017 total capitalization = $21,904 million

2017 interest paid to debt investors = $877 million

Net income to shareholders = $8,654 million

Corporate tax rate = 21%

Profit before taxes = $10,954 million ($8,654/ 1 - 0.21)

Cost of capital = 10%

= $2,190.4 million ($21,904 x 10%)

EVA = NOPAT - (Invested Capital * WACC)

= $8,654 million - $2,190.4 million

= $6,463.60 million.

Thus, the economic value added (EVA) for Home Depot in the fiscal year, 2017, is $6,463.60 million.

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The value in fig 4 x = 18.7 and γ = 12.72 . The value in fig 5 x = 10 and γ = 40 .

In figure 4 .

Solving linear equation in two variable

10 γ + 4 x - 22 = 180

3 γ + 11 + 7 x + 4 = 180

10 γ + 4 x = 202     ... eq 1

3 γ + 7 x = 169       ... eq 2

mult. ... eq 1 by - 3 and ... eq 2 by 10 .

- 30 γ - 12 x = - 606

30 γ + 70 x = 1690

Adding above 2 eqns

58 x = 1084

x = 18.7

γ = 12.72

Measurement of angles : 127.2 degrees , 52.8 degrees 134.9 degrees , 49.16 degrees .

In fig . 5

4 x + 13 x + 10 = 180

17 x = 170

x = 10

2 ( γ + 25 ) + 2 γ - 30 = 180

4 γ + 20 = 180

4 γ = 160

γ = 40

Measurement of angles are 130 degrees , 50 degrees , 130 degrees , 50 degrees  .

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Nearest whole number will be 782318.

Nearest ones whole number is the first digit before the decimal point of a number.

For example nearest ones of 9.6 is equal to 10.

If the tenth digit (first number before decimal point) of the number is greater than or equal to 5 we round up and add 1 to ones of number, If the tenth digit of the number is less than 5 we remove the decimal part. Example:

124.6

The first number of right of decimal point is 6

6 is greater than 5, so we add 1.

Result = 125

Now given number is 782317.772

since the  first digit after decimal is 7 which is greater than 5 thus the nearest whole number will be 782318.

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The volume is 3105 and the surface area is 1742

The given parameters are

Length = 27 yards

Width = 23 yards

Height = 5 yards

The volume is

Volume = Length * width * height

So, we have

Volume = 27 * 23 * 5

Evaluate

Volume = 3105

The surface area is

A =2 *(LW + LH + WHW)

So, we have

A = 2 * (27 * 23 + 27 * 5 + 23 * 5)

Evaluate

A = 1742

Hence, the volume is 3105 and the surface area is 1742

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Answer:

40.56

Step-by-step explanation:

:)

Answer: 43 ==> C

Step-by-step explanation:

3w − 11=

3(18)-11=

54-11=43 ==> C

Answer:

c, 43

Step-by-step explanation:

3 times 18, minus 11

We can conclude that the equation 36x + 9 equals -1/4.

So,

Therefore, we can conclude that the equation 36x + 9 equals -1/4.

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a. triangle P been rotated by 90 degree in anticlockwise direction

b. triangle P been rotated by 270 degree in clockwise direction

What is angle of rotation ?

In mathematics, the angle of rotation is a measurement of the amount, of namely angle, that a figure is rotated about a fixed point, often the center of a circle.

a. if we rotate the triangle P at 90 degree, from point O at anticlockwise direction, we get triangle Q

b. if we rotate triangle P at 270 degree from point O at clockwise direction, we get triangle Q

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Answer:

77

Step-by-step explanation:

Domain: (-∞,∞) {x,x∈R }

Range: [0,∞)

Solution :

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation

Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval that contains 0, 5, and all numbers between 0 and 5.

Different Types Of Intervals

Intervals can be classified based on the numbers the set comprises. Some sets include the endpoints specified in the notation, while some might partially or not include the endpoints. In general, there are three types of intervals given as,

Open Interval

Closed Interval

Half-Open Interval

Let us understand the interval notation and different types of intervals in detail using solved examples.

Interval Notation:

y = |x4|

(−∞,∞)

Set-Builder Notation:

{x|x∈R}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

[0,∞)

Set-Builder Notation:

{y|y≥0}

Determine the domain and range.

Domain:

(−∞,∞),{x|x∈R}

Range:

[0,∞) , {y|y≥0}

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Answer:

18/20 * 17/19 ≈ 0.805263158

Step-by-step explanation:

18/20 for the first chocolate not to be coco cream

then, the number of non-coco ones is lowered by 1 and the number of total too, so

17/19 for the second chocolate not to be coco cream

The chance that neither of the 2 chocolates is coconut cream is 18/20*17/19 ≈ 0.805263158

Answer:

6 thousands + 4 hundreds

4727>6400

Step-by-step explanation:

4727<6400

The percent increase in the number of yards is 32.7%

At the end of the football game, Nathan carried the ball for 50.5 yards

At the end of the game, the ball was carried for a total of 75 yards

The percent increase in the number of yards can be calculated dividing the percentage change by the original value and multiplying by 100

= 75 - 50.5/75 × 100

= 24.5/75 × 100

= 0.3266 × 100

= 32.66

= 32.7%

Hence the percent increase in the number of yards is 32.7%

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