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An employee receives a 4% raise once per year. If the employee’s initial salary is $40,000, what will the employee’s salary be after 8 years?

The values of x or y are as follows:

(a) y = 4

(b) x = -2

(c) y = 6

(d) x = 3

(a) Given, that a line passes through (-3 , y) and (-9 , -2) having slope m = 1

as, we know the formula of slope i.e. (y1 - y2)/(x1 - x2) = m

So, (y + 2)/(-3 + 9) = 1

= (y + 2)/6 = 1

= y + 2 = 6

So, y = 4

(b) Given, that a line passes through (x , -7) and (1 , 2) having slope m = 3

as, we know the formula of slope i.e. (y1 - y2)/(x1 - x2) = m

So, (-7 - 2)/(x - 1) = 3

= -9/(x - 1) = 3

= x - 1 = -3

So, x = -2

(c) Given, that a line passes through (9 , y) and (3 , 2) having slope m = 2/3

as, we know the formula of slope i.e. (y1 - y2)/(x1 - x2) = m

So, (y - 2)/(9 - 3) = 2/3

= (y - 2)/6 = 2/3

= y - 2 = 4

So, y = 6

(d) Given, that a line passes through (7 , 5) and (x , 2) having slope m = 3/4

as, we know the formula of slope i.e. (y1 - y2)/(x1 - x2) = m

So, (5 - 2)/(7 - x) = 3/4

= 3/(7 - x) = 3/4

=7 - x = 4

So, x = 3

Hence, the values of x or y are as follows:

y = 4 , x = -2 , y = 6 and x = 3.

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The linear regression equation that represents this set of data is given by:

y = 30x + 854.6.

The predicted calendar year in which the number of new cases would reach 1141 is:

2020.

The format of the linear regression equation is given as follows:

y = mx + b.

In which the coefficients are listed as follows:

The equation is built inserting the points given on the table into a linear regression calculator.

The points from the table given by the image at the end of the answer are given as follows:

(0, 856), (1, 871), (2, 924), (3, 961), (4,961).

Inserting these points into a calculator, the equation is given as follows:

y = 30x + 854.6.

The predicted calendar year in which the number of new cases would reach 1141 is 2011 + integer part of x, when y = 1141, hence:

1141 = 30x + 854.6

x = (1141 - 854.6)/30

x = 9.54.

Hence during the year of 2020.

The table is given by the image shown at the end of the answer.

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Answer: The value of x in ∆ ABC is

Step-by-step explanation: By AA similarity

x² = 4* 16

x = 8

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It  will be written as inequality

3 - (x / 2) ≤ 5

Inequality is a mathematical relation which is use to make non-equal comparisons between equations or numbers.

Now let us look at the question.

Half a number less than 3. Let us suppose the number to be 'x' so

3 minus half of x which can be written as 3 - (x / 2)

Next it says that it is at most 5 which means it will be 5 or less than that.

Therefore we can easily write it as inequality 3 - (x / 2) ≤ 5

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Answer:

[tex]1.7\geq b[/tex]

Step-by-step explanation:

3.5>=b+1.8

-1.8.       -1.8

1.7>=b

Hopes this helps please mark brainliest

The time taken for the car and truck to meet is 36 minutes.

The time for the car and the truck must be the same.

distance:

Now,

Then trucks distance:

Time is:

Hence, the time taken for the car and truck to meet is 36 minutes.

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y do i have to write so much for a small answer the answer is 12.5

Answer: One ticket would cost $12.50

Step-by-step explanation:

If 6 tickets cost $75, to find the cost of one ticket, we need to divide.

$75 divided by 6 is $12.5.

$12.5 is not a valid answer, so we need to show the hundredths place, which is 0. This means the answer is $12.50.

Answer:

34

Step-by-step explanation:

I will need a lot more info then that but i think it'll be 34

Answer:

y = 5/2x - 8

Step-by-step explanation:

The equation of the line passing through (-6,0) and (0,-8) will be y = -4x/3-8.

According to the question,

We have the following information:

We have two points: (-6,0) and (0,-8) and we have to find the equation.

We know that following formula is used to find the slope of the line:

m = (y2-y1)/(x2-x1)

In this case, we have x1 = -6, y1 = 0, x2 = 0 and y2 = -8.

m = (-8-0)/{0-(-6)}

m = -8/(0+6)

m = -8/6

Dividing this fraction by 2:

m = -4/3

Now, the following formula is used to find the equation of the line:

(y-y1) = m(x-x1)

y-0 = -4/3{x-(-6)}

y = -4/3(x+6)

y = -4x/3-8

Hence, the equation of the line passing through (-6,0) and (0,-8) will be y = -4x/3-8.

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Answer:

x=9

Step-by-step explanation:

these 2 angles are equivalent so we set them equal to each other

124-x=8x+43

81-x=8x

81=9x

9=x

Hopes this helps please mark brainliest

The Least percentage point = 41

The Greatest percentage point = 47

What is percent?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

Given:

Percentage of voters who plan to re-elect mayor = 44%

Margin of Error in measurement = ±3 % points

The absolute value inequality to find the lowest and greatest percent of points :

X = mid value

44% = estimated percentage

≤3 = error margin

Therefore,

|mid value - estimate| ≤ error margin

|x − 44| ≤ 3

⇒  -3 ≤ x - 44 ≤ +3

Add 44 on both sides,

   -3 + 44 ≤ x ≤ 3 + 44

Simplifying,

       41 ≤ x ≤ 47

Hence,

The Least percentage point = 41

The Greatest percentage point = 47

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Answer:

e is 63 degrees

d is 31 degrees

Answer:

Step-by-step explanation:

Answer:

7x + 8 is your answer

Step-by-step explanation:

The width has a value of  8 meters

The mathematical statement from the question is given as

Length of a rectangle is four more than twice its width.

Mathematically, this can be represented as

Length = 2Width + 4

The perimeter is given as

Perimeter = 56 meters

The perimeter is calculated as

Perimeter = 2 x (Length + Width)

So, we have

2 x (2Width + 4 + Width) = 56

Divide by 2

2Width + 4 + Width = 28

This gives

3Width= 24

Divide by 3

Width = 8

Hence, the width is 8 meters

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The probability of the event P(Yellow) is 37% , the correct option is (c) .

In the question ,

it is given that

number of green balls in the bag [tex]=[/tex] 15

number of yellow balls in the bag [tex]=[/tex] 18

number of orange balls in the bag [tex]=[/tex] 16

So , total number of balls in the bag = number of green balls + yellow balls + orange balls .

On substituting the values ,

we get

total number of balls = 15 +18 + 16 = 49

the probability of the event P(Yellow) = (number of yellow balls)/(total balls)

= 18/49

= 0.3673

= 36.73%

≈ 37%

Therefore , The probability of the event P(Yellow) is 37%  .

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In a polygon, the size of the exterior angle next to the adjacent is 155°

Exterior angle:

Exterior angle means the angle between any side of a shape, and a line extended from the next side

Given,

In a polygon one interior angle is 25 degrees.

Here we need to find the exterior angle next to the adjacent.

In order to find the exterior angle, we have to do the following,

We know that each interior angle of the polygon is 25 degrees, so each exterior angle of the polygon is

=> 180 - 25

=> 155°

Therefore, the measure of the exterior angle is 155°.

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a) The points are given as follows: (3, 1028) and (8, 1488).

b) The rate of change is:

c) The interpretation of the rate of change is that it gives the yearly increase in the number of deers.

d) The equation is: y = 92x + 752.

e) The prediction for the year of 2000 is the intercept of the function, which is of 752 deer.

f) The prediction for the current year of 2022 is of 2776 deer.

The slope-intercept representation of a linear function is:

y = mx + b

The coefficients of the function and their meaning in the context of this problem are listed as follows:

Considering the reference year 2000 as year 0, the coordinate points of the function are given as follows:

(3, 1028), (8, 1488).

Given two points, the slope of the function is given by the change in the output divided by the change in the input, hence:

m = (1488 - 1028)/(8 - 3) = 92.

Hence the function is:

y = 92x + b.

When x = 3, y = 1028, hence the intercept b is obtained as follows:

1028 = 92(3) + b

b = 1028 - 92(3)

b = 752.

Then:

y = 92x + 752.

2022 is 22 years after 2000, hence the estimate for the number of deer is given as follows:

y = 92(22) + 752 = 2776.

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Each corsages sell for $22. And Each boutonnieres sell for $21.

Brittany sold 12 corsages and 17 boutonnieres last year in total of $621.

And she sold 19 corsages and 16 boutonnieres this year for a total of $754.

First, we will create the system of equation from given information

So, the equations are

12x+17y=621..…(1)

19x+16y=754..…(2)

Where,

X=cost of one corsage

Y=cost of one boutonniere

Make y the subject of equation (1)

y=(621-12x)/17

Put this value of y in equation (2)

Therefore

19x+16((621-12x)/17)=754

19x+(9936-192x)/17=754

(323x+9936-192x)/17=754

131x+9936=12818

131x=12818-9936

131x=2882

x=2882/131

x=22

So, the cost of one corsage is $22.

Now, put this value of x in equation (1)

12×22+17y=621

264+17y=621

17y=621-264

y=357/17

y=21

The cost of one boutonniere is $21.

Thus, the cost of each corsages and boutonnieres are $22 and $21.

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The set of side measurements could be used to form a triangle is 7, 13 and 16.

If a, b and c are the sides of the triangle

Then

a+b > c

b+c > a

c+a > b

The first set of side measurements = 2, 6 and 10

2+6 > 10

8 < 10

This is not the side measurements of a triangle

The second set of side measurements = 3, 18 and 22

3+18 > 22

21 < 22

The is not the side measurements of a triangle

The third set of side measurements = 7, 13, 16

7+13 > 16

20 > 16

13+16 > 7

29 > 7

7+16 > 12

23 >12

This is the side measurements of a triangle

The fourth set of side measurements = 8, 7  and 19

8+7 > 19

15 < 19

This is not the side measurements of a triangle

Hence, the set of side measurements could be used to form a triangle is 7, 13 and 16

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Answer:

C. 7, 13, 16

Step-by-step explanation:

In order to be a triangle, the two smaller sides need to add up and be greater than the 3rd side.

In all the other sides they end up shorter:

2 + 6 = 8

8 < 10

3 + 18 = 21

21 < 22

8 + 7 = 15

15 < 19

BUT

7 + 13 = 20

20 > 16

The equation of the line as represented in the task content in fully simplified slope-intercept form is; y = -( 1/2 )x - 2.

It follows from the task content that the equation of the given line in slope-intercept form is to be determined.

As evident on the graph, the y-intercept and x-intercept of the line are; (0, -1) and (-2, 0).

Therefore, the slope can be determined from the slope formula as;

m = ( 0 - (-1) ) / (-2 - 0)

m = 1 / -2 = -1 / 2.

Therefore, by simulation of the slope-intercept model of the equation of a straight line; y = mx + c where, m = slope and c = y-coordinate of the y-intercept;

The equation of the given line is;

y = -(1/2)x - 2.

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Answer:

This triangle is obtuse and isosceles

Step-by-step explanation:

An obtuse triangle is a triangle in which one of the angles is greater than 90°. You can clearly see that angle NPO is greater than a right angle.

An isosceles triangle is a triangle in which two sides are equal and two angles are equal. Sides NP and PO are equal because they both measure 4m, which necessarily means that the angles opposite them are congruent (angles PNO and NOP).

Answer:

ΔNOP is obtuse triangle and isosceles triangle.

Step-by-step explanation:

An acute triangle has three angles that each measure less than 90°.

An obtuse triangle is a triangle with one angle greater than 90°.

A right triangle is a triangle with one 90° angle represented by the symbol ∟.

From inspection of the triangle, it appears that angle P is greater than 90°, which means it is an obtuse triangle.

This can be confirmed by using the cosine rule to calculate angle P.

[tex]\boxed{\begin{minipage}{7.6 cm}\underline{Cosine Rule (for finding angles)} \\\\$\cos(C)=\dfrac{a^2+b^2-c^2}{2ab}$\\\\\\where:\\ \phantom{ww}$\bullet$ $C$ is the angle. \\ \phantom{ww}$\bullet$ $a$ and $b$ are the sides adjacent the angle. \\ \phantom{ww}$\bullet$ $c$ is the side opposite the angle.\\\end{minipage}}[/tex]

Therefore:

[tex]\implies \cos(P)=\dfrac{4^2+4^2-7^2}{2(4)(4)}[/tex]

[tex]\implies \cos(P)=-\dfrac{17}{32}[/tex]

[tex]\implies P=\cos^{-1}\left(-\dfrac{17}{32}\right)[/tex]

[tex]\implies P=122.08995...^{\circ}[/tex]

As 122.1° > 90°, this proves that triangle NOP is obtuse.

An equilateral triangle has three sides of equal length.

A scalene triangle has three sides of differing lengths.

An isosceles triangle has two sides of equal length.

Therefore, as NP = OP ≠ ON, the triangle has two sides of equal length and so it an isosceles triangle.

If you're looking for x, then:

2 = |x|-1

lxl-1 = 2

lxl-1+1=2+1

lxl=3

so x = -3, x=3

The value of f(12) in the arithmetic sequence is 30.

Arithmetic sequence formula can be represented as follows;

aₙ = a + (n - 1)d

where

Therefore,

f(3) = - 3

f(6) = 8

Hence, let's find f(12).

-3 = a + 2d

8 = a + 5d

3d = 11

d = 11 / 3

a = -3 - 2(11 / 3)

a = - 3 - 22 / 3

a = - 31 / 3

Hence,

a₁₂ = a + 11d

a₁₂ = - 31 / 3 + 11(11 / 3)

a₁₂ = - 31 / 3 + 121 / 3

a₁₂ = 90 / 3

a₁₂ = 30

Therefore,

f(12) = 30

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Identify your Financial Situation,  

Determine Financial Goals,

Identify Alternatives for Investment,  

Evaluate Alternatives,

Put Together a Financial Plan and Implement,

Review, Re-evaluate and Monitor The Plan

The following tasks are part of the financial planning activity:

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Answer:

3/8

Step-by-step explanation:

hope it helps :)

The value of Tan Y is 0. 8660

From the information given, we have that;

Now, let's determine the value of the adjacent side

cos θ = adjacent/ hypotenuse

cos 60 = adjacent/ 4

Adjacent = 2

Using Pythagorean theorem

4² = 2² + c²

16 - 4 = c²

c = √12

c = 3. 5

Tan Y = 3. 5/ 4

Tan  Y = 0. 8660

Hence, the value is 0. 8660

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Answer:b

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{6 - \sqrt{25} }{4}[/tex] =

[tex]\frac{6-5}{4}[/tex] =

[tex]\frac{1}{4}[/tex]

Answer:

Required

1. What is the break-even point in tickets?

2. How many tickets must be sold to earn a profit of $30,000?

3. How many tickets must be sold to earn a profit of $100,000?

Step-by-step explanation: