A shirt costs $34. Sales tax is 6%. What is the total amount including tax

The person's total salary over the first 6 years is $231,750.

To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.

Given information:

- Initial salary: $34,000

- Annual raise: $1,850

- Number of years: 6

To calculate the total salary, we can use the arithmetic progression formula:

[ S = frac{n}{2} left(2a + (n - 1)dright) ]

Where:

- ( S ) is the sum of the salaries

- ( n ) is the number of terms (years)

- ( a ) is the first term (initial salary)

- ( d ) is the common difference (annual raise)

Substituting the given values, we have:

[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]

Simplifying the expression:

[ S = 3 left( 68000 + 5 times 1850 right) ]

[ S = 3 left( 68000 + 9250 right) ]

[ S = 3 times 77250 ]

[ S = 231750 ]

Therefore, the person's total salary over the first 6 years is $231,750.

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Answer:

15/2= 7 1/2 =7.5

Step by step

Step 1 of 2: Add.

Add

5 and 2 over 165

2

16

+ 2 and 3 over 82

3

8

= 120 over 16

120

16

Step 1 of 2: Add, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

5 and 2 over 165

2

16

= ( 5 × 16 ) over 16

5 × 16

16

+ 2 over 16

2

16

= ( 80 + 2 ) over 16

80 + 2

16

= 82 over 16

82

16

Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 3 over 82

3

8

= ( 2 × 8 ) over 8

2 × 8

8

+ 3 over 8

3

8

= ( 16 + 3 ) over 8

16 + 3

8

= 19 over 8

19

8

Step 1 of 2: Add, sub-step c: Find common denominator.

Find common denominator

82 over 16

82

16

+ 19 over 8

19

8

= ( 82 × 1 ) over ( 16 × 1 )

82 × 1

16 × 1

+ ( 19 × 2 ) over ( 8 × 2 )

19 × 2

8 × 2

= 82 over 16

82

16

+ 38 over 16

38

16

16 is the least common multiple of denominators 16 and 8. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Add, sub-step d: Add.

Add

82 over 16

82

16

+ 38 over 16

38

16

= ( 82 + 38 ) over 16

82 + 38

16

= 120 over 16

120

16

Step 1 of 2: Add.Hide

Step 2 of 2: Simplify.

Simplify

120 over 16

120

16

= 15 over 2

15

2

= 7 and 1 over 27

1

2

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

120 over 16

120

16

= ( 120 ÷ 8 ) over ( 16 ÷ 8 )

120 ÷ 8

16 ÷ 8

= 15 over 2

15

2

8 is the greatest common divisor of 120 and 16. Reduce by dividing both numerator and denominator by 8.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

15 over 2

15

2

= 7 and 1 over 27

1

2

15 ÷ 2 = 7 remainder 1

The high school dropout rate in the United States is greater than 25 percent. C. Wright Mills would classify this situation as a societal issue.

This is because societal issues are matters of public concern that affect large numbers of people and require collective action to resolve. The high school dropout rate in the United States is an example of a societal issue because it has widespread implications for both individuals and society as a whole.

According to Mills, a societal issue is one that cannot be attributed solely to the actions of individuals. Instead, it is the result of social structures and processes that operate at a broader level.

For example, the high school dropout rate in the United States is influenced by a variety of factors such as poverty, race, and family background. These factors are not solely determined by the actions of individual students but are instead shaped by broader social forces such as economic inequality and institutional racism.

To address the high school dropout rate, therefore, requires collective action at the societal level. This may involve policy changes, community-based initiatives, or other forms of collective action aimed at addressing the underlying social factors that contribute to the problem.

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The conversion of 26 Celsius to Fahrenheit is 78.8.

Celsius and Fahrenheit are two scales used to measure temperature.

Celsius, also known as the centigrade scale, is a temperature scale where the freezing point of water is 0 degrees Celsius and the boiling point of water is 100 degrees Celsius at standard atmospheric pressure.

To convert Celsius to Fahrenheit, you can use the following formula:

°F = (°C x 9/5) + 32

where °C is the temperature in Celsius and °F is the temperature in Fahrenheit.

Substituting the value of 26 °C in the formula, we get:

°F = (26 x 9/5) + 32

°F = (46.8) + 32

°F = 78.8

Therefore, 26°C is equivalent to 78.8°F in Fahrenheit.

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Correct Question :

What is the conversion of 26 Celsius to Fahrenheit ?

Step-by-step explanation:

that is the correct answer above

Answer:

So correct option is D)

Hope it helps you:)

Answer:

can you put a picture on it please and then i will help

Step-by-step explanation:

======================================================

Explanation:

The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.

A solid boundary line means that points on the boundary are part of the solution set.

Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.

\(-5x + 4y \ge -1 \\\\-5(4) + 4(0) \ge -1 \\\\-20 \ge -1 \\\\\)

This is false because -20 is not larger than -1. It's the other way around.

This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.

The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.

A sample is a subset of the population. When conducting a survey, it is often impractical to gather data from every member of a population, and therefore, a sample is used. The goal of a sample is to gather data that is representative of the population. In the case of the instructional designer, they would need to identify the population of learners they are interested in (e.g. learners enrolled in their course) and take a sample of those learners to estimate the proportion who use Firefox as their primary browser.

There are various sampling procedures that can be used, but the most common is simple random sampling. In simple random sampling, each member of the population has an equal chance of being selected for the sample. The instructional designer could use a random number generator or a table of random numbers to select their sample of learners. Once they have their sample, they can count the number of learners who use Firefox as their primary browser and use this proportion to estimate the proportion in the population.

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\(f(x)=x+10\\\\f(7)=(7)+10\\\\f(7)=17\)

the answer is 17.

Answer:

The answer is 17, x±10 =10+7= 17

Answer:

9.22

Step-by-step explanation:

(2,-8) and (-5,-2)

\(d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2 } \\d=\sqrt{(-5-2)^2+(-2+8)^2} \\d=\sqrt{(-7)^2+(6)^2} \\d=\sqrt{49+36} \\d=\sqrt{85} \\d=9.22 \\\)

Answer:

√72

Step-by-step explanation:

X1=2 Y1=-8 X2=-5 Y2=-2

Distance= √(X2-X1)^2 + (Y2-Y1)^2

= √(-5-2)^2 + (-2-(-8))^2

= √(-7)^2 + (6)^2

= √49 + 36

= ✓85

Answer: \(\huge\boxed{5 \text{ prices}}\)

Step-by-step explanation:

Because the mean is simply the mathematical average of all the points, simply add all the prices and divide by the amount of prices, or 10.

100 + 150 + 80 + 240 + 130 + 170 + 210 + 165 + 275 + 90 = 1610, then divide by 10 to get 1610 / 10 = 161.

Because there is a absolute deviation of 50 from the mean, simply subtract and add fifty to learn that the least they will pay is $111, and the most they will pay is $211, and 5 prices fall within this range.

Step-by-step explanation:

\(3x - \frac{8}{2} = x - 6\)

\( \frac{8}{2} = 4\)

\(3x - 4 + 4 = x - 6 + 4\)

\(3x = x - 6 + 4\)

\(3x - x = - 6 + 4 - x\)

\(3x - x = - 6 + 4\)

\(2x = - 2\)

\( \frac{2x}{2} = \frac{ - 2}{2} \)

\(x = - 1\)

This is a simultaneous equation.

4x + 7y = 60--------------(1)

-4x + 7y = -4 -------------(2)

solving this equation by using the elimination method, we will have to add equation 1 and 2 together

4x + 7y = 60--------------(1)

+(-4x + 7y = -4 -------------(2)

Becomes

(4x + - 4x) + (7y +7y) = 60+-4

(4x-4x) + 14y = 60 - 4

0 + 14y = 56

14y = 56

y = 56/14

y = 56/14

y = 4

Substitute y into equation 1

4x + 7y = 60

4x + 7x4 = 60

4x + 28 = 60

4x = 60 -28

4x = 32

x = 32/4 =

x = 8

The ordered pair is

(x,y) = (8, 4)

Answer:

i put below. if you have a smart website (i dont know how to say it) then all you need is two points

Step-by-step explanation:

all you have to do is find two points

pick any points

lets say x = 0 and x = 2

y = -2(0) + 7

y = 7

(0,7)

y = -2(2) + 7

y = -4 + 7

y = 3

(2, 3)

then graph

Answer:

f(x) = \(\sqrt{x}\)

Step-by-step explanation:

hope this helped :-)

Answer:

5/7

Step-by-step explanation:

5x-7y=14

-7y=14-5x

y=-2+5/7x

y=5/7x-2

This slope is 5/7. This is because in the standard form of a line (y=mx + b), m represents the slope. In the equation above, 5/7 is the slope.

The length is 6 cm, and the width is 2 cm, we can substitute these values into the formula: 363636 = 6 * 2 * h. By simplifying the equation, we find that the height of the box should be 30303 centimeters.

To determine the height of the box, we can use the formula for volume, which is given by the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

In this case, we are given that the volume of the box is 363636 cubic centimeters, the length is 6 cm, and the width is 2 cm. Plugging these values into the formula, we get:

363636 = 6 * 2 * h

To solve for h, we divide both sides of the equation by 12:

h = 363636 / 12

h = 30303 cm

Therefore, the height of the box should be 30303 centimeter.

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Answer:

93

Step-by-step explanation:

i got it right on ed

The measure of angle S is,

⇒ ∠S = 93°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Quadrilateral RSTQ is shown.

Here, Angle R is 132 degrees, angle Q is 56 degrees, and angle T is 79 degrees.

We know that;

In a quadrilateral RSTQ;

⇒ ∠R + ∠S + ∠T + ∠Q = 360°

Substitute all the values, we get;

⇒ 132° + ∠ S + 79° + 56° = 360°

⇒ ∠S + 267 = 360

⇒ ∠S = 360 - 267

⇒ ∠S = 93°

Thus, The measure of angle S is,

⇒ ∠S = 93°

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Answer: stream dynamite

Step-by-step explanation: i dont understand the question

Answer:

Step-by-step explanation:

The slope for the given situation will be $2.96. 5.92/2 = $2.96 per meal

a) is 0.386 and of b) is 0.017

What is Probability?

One use of probability theory is calculating the odds that experiments will succeed or fail. Probabilities can be used to determine, for example, the possibility of flipping a coin and obtaining heads or tails, or the likelihood of making a research error. Understanding the formula for estimating probabilities in equiprobable sample spaces, as well as the probabilities of the complementary event, etc., as well as the likelihood of two occurrences joining together, is essential to understanding this area of mathematics.

Given that:

no of seniors = 3

no of juniors = 15

a) probability that a group consist of a senior and two juniors:

                      \(=\frac{^{3} C_{1} *^{15} C_{2 }}{^{18} C_{3}}\\\\=\frac{3 * 105}{316} \\\\=0.386\)

b) if the name of a student given then there is only one way to select it

For example = we have to select 1 senior which name is already given means there is only one way to select it, and 2 junior in which one name is given then it can only selected by one way, but still one junior student has to be selected out of remaining 14 student which can be selected by \((^{14}C_{1} =14)\) different ways.

                         \(=\frac{1 *1*{^{14} C_{1}}}{^{18} C_{3}}} \\\\= \frac{14}{316} \\\\= 0.017\)

Hence, The answer of a) is 0.386 and of b) is 0.017

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Answer:

heyyy even though you are not talking to me

BAHBAHA

Step-by-step explanation:

Answer:

Both have the same x value, which is 20.

Answer: Incorrect

Step-by-step explanation:

Your friend Frans' claim is incorrect. A row of zeros in the reduced matrix means that the corresponding equation in the system is redundant and does not provide any additional information. This does not necessarily mean that the system does not have a unique solution. In fact, a row of zeros in the reduced matrix is common when solving systems of linear equations using Gaussian elimination, and it can still lead to a unique solution or even an infinite number of solutions. Therefore, Frans' claim is wrong.

Answer:

porky-pine

Step-by-step explanation:

f68viyv7tx57d7rz47ze6z6exurxtuxruxr6xr7xrxe5z6exticrxr6xr6x

The missing end point A if the midpoint of the line segment AC is B (-3,2) and C is (0,4) is (-6, 0)

A midpoint is a point lying between two points and is in the middle of the line joining the two points.

Therefore, the mid point between AC is B.

Using mid point formula we can find the end point of A.

Hence,

(x, y) = (x₁ + x₂ / 2,  y₁ + y₂ / 2)

Therefore, B(-3, 2) and C(0, 4)

(-3, 2) = (x₁ + 0 / 2, y₁ + 4 / 2)

Hence,

(-3, 2) = ( x₁ / 2, y₁ + 4 / 2)

x₁ / 2 = -3

cross multiply

x₁ = - 3 × 2

x₁  = -6

y₁ + 4 / 2 = 2

cross multiply

y₁ + 4 = 4

y₁  = 4 - 4

y₁  = 0

The missing endpoint A is (-6, 0)

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(a) The velocity when the particle reaches B is 8 m/s.

(b) The distance between point A and B is 5.33 m.

(c) The value of t when the particle reaches C is 1.63 seconds.

(d) The distance AC​ is 8.7 m.

The velocity when the particle reaches B is calculated as follows;

v = ∫a. dt

where;

v =  ∫(4t . dt)

v = 4t²/2

v = 2t²

v(2) = 2(2)²

v(2) = 8 m/s

Thus, the velocity when the particle reaches B is 8 m/s.

x = ∫v

where;

x = ∫2t². dx

x = ²/₃t³

x(2) = ²/₃(2)³

x(2) = 5.33 m

Thus, the distance between point A and B is 5.33 m.

when the particle reaches point C, final velocity, vf = 0

vf = v + at

where;

0 = 8 - 3t(t)

0 = 8 - 3t²

3t² = 8

t² = 8/3

t² = 2.67

t = √(2.67)

t = 1.63 seconds

x = ∫vf

x = ∫(8 - 3t²)

x = 8t  - t³

x(1.63) = 8(1.63) - (1.63)³

x(1.63) = 8.7 m

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5 3/4 inches

We can add the amount of snowfall in Belmont in the afternoon and in the morning to find the total amount of snowfall.

4 3/8 + 1 3/8

= (4 + 1) + (3/8 + 3/8)

= 5 + 6/8

= 5 6/8

= 5 3/4

The total amount of snowfall is 5 3/4 inches

Answer: the value of x is 10.5.

Step-by-step explanation:The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by the coordinates [(x1 + x2)/2, (y1 + y2)/2].

In this case, the endpoints of the diameter of the circle are (6, 8) and (15, 8), so the midpoint of the diameter is [(6 + 15)/2, (8 + 8)/2] = (10.5, 8).

Since the midpoint of the diameter is the center of the circle, the coordinates of the center of the circle are (10.5, 8).

Therefore, the value of x is 10.5.

I hope this helps! Let me know if you have any further questions.