Maya accepted a new job at a company with a contract guaranteeing annual raises. Let SS represent Maya's salary after working for nn years at the company. The table below has select values showing the linear relationship between nn and S.S. Determine Maya's salary when hired.

Answers

Answer 1

well, we know that the relationship of "n" and "s" is linear, so hmmm let's get their equation first.

to get the equation of any straight line, we simply need two points off of it, let's use those in the picture below.

[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{68000})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{76000}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{76000}-\stackrel{y1}{68000}}}{\underset{run} {\underset{x_2}{9}-\underset{x_1}{7}}} \implies \cfrac{ 8000 }{ 2 } \implies 4000[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{68000}=\stackrel{m}{ 4000}(x-\stackrel{x_1}{7}) \\\\\\ ~\hfill {\Large \begin{array}{llll} s-68000=4000(n-7) \end{array}} ~\hfill[/tex]

now, when she was hired, well that was when there were no years, namely at year 0, so we can say that's when n = 0

[tex]s-68000=4000(n-7)\implies s-68000=4000(\stackrel{n}{0}-7) \\\\\\ s-68000=4000(-7)\implies s-68000=-28000 \\\\\\ s=-28000+68000\implies {\Large \begin{array}{llll} s=40000 \end{array}}[/tex]

Related Questions

Mark buy 2 pound of ham and 4 pound of turkey for 40$. Gigi buy 5 pound of ham and 4 pound of turkey for 51$
How much i a pound of ham?

Answers

Based on Mark's and Gigi's expenditure, a pound of ham costs $3.67.

Let us represent 1 pound of ham by x and 1 pound of turkey by y. Forming equation based on Mark's ham and turkey

2x + 4y = 40 : Equation 1

Forming equation based on Gigi's ham and turkey

5x + 4y = 51 : Equation 2

Subtracting Equation 1 from equation 2

5x + 4y = 51

(-) 2x (-) + 4y = (-) 40

The result we get on subtraction -

3x = 11

x = 11/3

Performing division on Right Hand Side of the equation

x = 3.67

Thus, one pound of ham cost $3.67.

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A snail moves 7/50 of a mile in 7/8 of an hour. If the snail continues at this pace, how far, in miles, does it move in one hour?

Answers

The number of miles it takes the snail to move for an hour is 25/4 miles

How to find the number of miles the snail moves?

Number of miles the snail moves = 7/50 of a mileNumber of hours the snail moves = 7/8 of an hour

how far, in miles, does it move in one hour?

let number of miles = x

Equate the ratio of number of miles to number of hours

7/50 : 7/8 = x : 1

7/50 ÷ 7/8 = x / 1

7/50 × 8/7 = x / 1

50/8 = x / 1

cross product

50 × 1 = 8 × x

50 = 8x

divide both sides by 8

x = 50/8

x = 25/4 miles

In conclusion, the snail moves 25/4 miles when traveling for an hour.

Answers

The distribution of the number of fair coin tosses before one observed three heads in a row is 14.

We have a coin. We have to find the number of fair coin tosses before one observes three heads in a row. We need to use the Markov chain. The probability of getting a head when a coin is flipped is 1/2. Let the probability be represented by the variable "p". Let the number of heads we want in a row be "n".

p = 1/2

n = 3

Using the Markov chain, the formula for getting "n" numbers of the same event in a row with the probability "p" is given below.

A(n) = [1 - p^(n)]/[(1 - p)*p^(n)]

We need to find the value of A(3).

A(3) = [1 - (0.5)^(3)]/[(1 - 0.5)*(0.5)^(3)]

A(3) = [1 - 0.125]/[(0.5)*(0.125)]

A(3) = 0.875/0.0625

A(3) = 14

Hence, the number of fair coin tosses before one observes three heads in a row is 14.

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1. Find the average rate of change on the interval [-2, 2] for each of the functions below.
a. a(x) = 2x + 1
b. b(x) = x² + 2
d. Which function has the greatest average rate of change over the interval x = -2 to x = 2?
c. c(x) = 2x - 1

Answers

The greatest average rate is. x^2+1

What is ROC?

The rate of change is measured by a line's slope.Rate of Change: How quickly a variable changes over a predetermined amount of time. It is frequently used while discussing momentum and is typically expressed as a ratio of one variable's change to another's corresponding change. This ratio is graphically represented by a line's slope.

acc toour question-

(1+4x)/2 f(2) = 9/2; f(-1) = -3/2 AROC = (9/2 - -3/2)/3 = 12/2 over 3 = 6 /3 or is it 1+ 4x/2 = 1+2x ??? f(2) = 5; f(-1) = -1; AROC = (5 - -1)/3 = 6/3 = 2 <--- YES !!!B) f(2) = 2^2 - 2 = 4 - 2 = 2 f(-1) = (-1)^2 - (-1) = 1 - (-1) = 1+1 = 2 AROC = (2-2)/3 = 0/3 = 0 <--- NOC) f(2) = 2^2 = 4; f(-1) = (-1)^2 = 1; AROC = (4-1)/3 = 3/3 = 1 <--- NOd) f(2) = 2^2 + 2 = 4+2=6 f(-1) = (-1)^2 + (-1) = 1+(-1) = 0 (6-0)/3 = 6/3 = 2

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HELP MEEEE PLEASE TYYY

Answers

Answer:

241.9026

Step-by-step explanation:

2*pi*r

Answer:

241.9 cm

Step-by-step explanation:

circumference= [tex]\pi[/tex]d

circumference= [tex]\pi[/tex](77)

circumference= 241.9 cm

A parallelogram is shown.
7.5 cm
Area = 62 cm²
Work out the perimeter of this parallelogram.
Optional working
6.2 cm
Answer:
cm

Answers

The perimeter of the parallelogram is 35 cm.

What is the perimeter of a parallelogram?

The length of the continuous line that a parallelogram's boundary forms are considered to be its perimeter. The same unit applies to it as it does to its sides. A closed shape made up of four line segments is referred to as a quadrilateral. If the opposing sides of a quadrilateral are parallel and the same length, the shape is referred to as a parallelogram.

Given, the area of the parallelogram = 62 cm²

We know the area of the parallelogram = base × height

62 = b × 6.2 cm

b = 62/6.2

b = 10 cm

So, the perimeter of the parallelogram is given by

P = 7.5 + 10 + 7.5 + 10 cm

P = 35 cm

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During a one-month promotional campaign, Fran's Flix gave either a free DVD rental or a 12-serving box of microwave popcorn to new members. It cost the store $1 for each free rental and $2 for
each box of popcorn. In all, 50 new members were signed up and the store's cost for the incentives was $80. How many of each incentive were given away?

Answers

30 boxes of popcorn and 20 free DVD rentals were given away.

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

let a variable represent the number of the highest-cost item (boxes of popcorn). If that is p, then the number of DVD rentals is (53-p) and the total cost is ...

2p +(50 -p) = 80

p = 80 -50 = 30 . . . . . . . boxes of popcorn

50-p= (50 -30) = 20 . . . DVD rentals

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A teacher buys 100 pencils to keep in her classroom at the beginning of the school year. She allows the students to borrow pencils, but they are not always returned. On average, she loses about 8 pencils a month. Which equation represents the number of pencils she has left y after a number of x months?.

Answers

A teacher buys pencils= 100

the equation is y=8x/100.

total number of pencils = 100

average number of pencil lost in months = 8

number of pencil lost in one month = 8/100

pencil left = y

months = x

so the equation would be:

y = 8x/100.

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In Jayce's favorite video game, he collects stars to earn points. Today, he collected 80 silver stars and earned 160 points. He also collected 30 gold stars and earned 150 points. How many more points per star does Jayce earn from gold stars?
As a decimal or whole number

Answers

By taking some simple quotients, we will see that a gold star gives 3 points more than a silver star.

How many points the gold stars give?

First, we know that 80 silver stars are equivalent to 160 points, to get the number of points that each star gives, we need to take the quotient between the number of points and the number of stars.

160/80 = 2

Each silver star gives 2 points.

We also know that 30 gold starts give 150 points, then:

150/30 = 5

Each gold star gives 5 points.

The difference is:

5 - 2 = 3

A gold star gives 3 points more than a silver star.

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What is radius r length?.

Answers

A line segment that connects a circle, sphere, or other shape's center to its perimeter or border. Radius: 12 units

What is Pythagoras Theorem?

According to the Pythagorean Theorem, a right triangle's hypotenuse (the side opposite the right angle) or, using conventional algebraic notation,[tex]a^{2} + b^{2} = c^{2}[/tex]

The Pythagorean theorem is well known for what reason?

The Greeks established the existence of numbers that could not be expressed as rational numbers thanks to Pythagoras' theorem. For instance, if we assume that the two shorter sides of a right triangle are 1 and 1, we are left with a length hypotenuse that is not a rational number.

By Pythagoras theorem-

[tex]adjacent side^{2} + opposite side^{2} = hypotenuse^{2}[/tex]

35= opposite side

r= adjacent side

25+r= hypotenuse

[tex](25+r)^{2} = 35^{2} + r^{2}\\ 665 + r^{2} + 50r = 1225 + r^{2} \\50r = 600\\r=12 units[/tex]

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a committee of three is chosen from a group of 13 people. how many different committees are possible if the following conditions apply?

Answers

There are total 246 ways to select a committee of 3 from a gorup of 13.

What is Combination?

A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the order of the selection is irrelevant. You can choose the components in any order in combinations.

Solution:

Given that,

Total Number of Applicants = 13

Total Seats Available for the Committee = 3

Since, the order of selection is not relevant in the given question we will use combination.

13C3 = 13! / (10! * 3!)

13C3 = 13*12*11*10!/(10! * 6)

13C3 = 286

This means there are total 246 ways to select a committee from a gorup of 13.

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Escherichia coli (e. Coli) bacteria are growing in a hamburger exponentially. Initially there are 100,000 bacteria. After 20 minutes there are 150,000. How many are there after an hour?.

Answers

After one hour, there would be 337,500 bacteria in the hamburger.

This problem involves exponential growth relation, which is as below:

[tex]P(t)=P_{o}*e^{rt}[/tex]

where, [tex]P_{o}[/tex] is the initial value (i.e. at t=0), P(t) is the value at time 't' and r is the growth rate.

Usually, one perceives growth as linear, which might seem logical in unspecified cases. But, when specified exponential growth, the scenario changes. The difference between linear and exponential growth is like the difference between velocity and acceleration.

In case of above stated problem; [tex]P_{o}[/tex]=100,000 and P(20)=150,000

For calculating r, we substitute values:

[tex]150,000=100,000*e^{r*20}\\e^{20r}=1.5\\20r=ln(1.5)\\r=0.0202733[/tex]

Now we have our growth rate. Using the same formula for t=60, we have:

[tex]P(60)=100,000*e^{0.0202733*60}\\P(60)=100,000*3.375\\P(60)=337,500[/tex]

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Triangle xyz was translated up 2 and right 3 units, creating triangle cab. Which relationship between the parts of the two triangles must be true?.

Answers

The congruency relationship which hold true after transformation is

YZ ≅ AB

What is congruent ?

In mathematics, the term "congruent" refers to figures and shapes that can be flipped or rearranged to match up with other ones. These forms can be mirrored to produce related shapes.

Explanation:

A translation is known as a rigid transformation. This is because it preserves congruence. Since CAB is created from XYZ, this tells us that:

X corresponds to C; Y corresponds to A; Z corresponds to B; XY corresponds to CA; YZ corresponds to AB; and XZ corresponds to CB.

Since the triangles are congruent, the corresponding pieces are congruent as well.

Out of these corresponding congruent pieces of triangles, the only one in our options is YZ ≅ AB.

Hence the answer is YZ≅AB.

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Does anyone know the answer?

Answers

Answer:

a. -13

b. 14

c. -6

Step-by-step explanation:

Substitute x = -3 into the equation.

f(-3) = 2(-3) - 7

= - 6 - 7

= -13

Substitute f(x) = 21 into the equation.

2x - 7 = 21

2x = 28

x = 14

Substitute x = 1/2 into the equation.

f(1/2) = 2(1/2) - 7

= 1 - 7

= -6

Explain how proving two triangles congruent can help prove parts of the triangle congruent.

Answers

Answer:

If two triangles are congruent, then by the definition of congruent triangles, 3 pairs of sides are congruent and 3 pairs of angles are congruent. In all, this is 6 statements of congruence.

There are ways of proving triangles congruent that require only 3 statements of congruence of corresponding parts, such as ASA, SAS, AAS, etc.

Sometimes in order to prove two segments or two angles congruent, since these segment and angles are parts of triangles, you prove the triangles congruent using some other statements of congruence, not involving these parts, and then you get 6 statements of congruence that includes the parts you wanted to prove congruent. That is where you use "corresponding parts of congruent triangles are congruent", or CPCTC for short.

The markup on a restaurant is 250%. A meal costs 7.30 to produce, How much will the customer be charged before tax and tip?

Answers

The amount that the customer be charged before tax and tip is $25.55

Given,

The markup on a restaurant = 250%

The cost of a meal to produce = $7.30

We have to find the amount will the customer be charged before tax and tip;

The markup price = 250/100 × 7.30 = 5/2 × 7.30 = 2.5 × 7.30 = 18.25

The Markup price on a restaurant is $18.25

Now,

The amount that the customer be charged before tax and tip = The cost of a meal to produce + The markup price

= 7.30 + 18.25

= 25.55

That is,

The amount that the customer be charged before tax and tip is $25.55

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when a survey questionnaire in english is translated into korean for use in south korea and then translated back into english to check its accuracy, it is described as:

Answers

When an English-language survey questionnaire is converted into a Korean version for usage in south Korea and then translated back into English to ensure accuracy.

Given statement;

When a survey questionnaire in English is translated into Korean for use in south Korea and then translated back into English to check its accuracy.

It can be described as back translation,

Back Translation:

Back translation, also known as reverse translation, is the process of literally translating text back into the source language from the target language. Translations from English to Swedish not affect would also include a reverse translation into English so that the meaning of the translated option could be clearly understood. Back translations have no effect on the translator's translation memory or other tools, such as glossaries.

It is described as a back translation.

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If x= 4-5 and y = -4 - 7i, what is x + y?

Answers

The value of x + y is -12i.

What are complex numbers?

Real numbers and imaginary numbers combine to form complex numbers, which have two components. Complex numbers serve as the foundation for more complex math, including algebra. They have numerous practical applications, particularly in the fields of electronics and electromagnetism.

Here, we have

Given x = 4 - 5i and

y = -4 - 7i

Now we have to find the value of x+y.

We will add both complex numbers and we get

x + y = 4 - 5i + (-4 -7i)

x + y = - 12i

Hence, the value of x + y is 12i.

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Jane solved an equation, but when she checked her answer she saw her solution was incorrect. She knows she made a mistake, but she can’t find it. Where is Jane’s mistake and what is the solution to the equation?

-3(4x - 5) = 6(x + 3) + 10

-12x + 15 = 6x + 18 + 10

-12x + 15 = 6x + 18

15 = -6x + 18

-3 = -6x

= x

Answers

when Jane added 12x to both sides, she rested instead off adding up. Also, she didn’t added up the 18 with the 10.

Solution:
-3(4x-5) = 6(x+3) + 10
-12x + 15 = 6x + 18 + 10
-12x + 15 = 6x + 28 **(hre was the prblm)

+12x
15 = 18x + 28

-28
-13 = 18x

/18
-13/18 = x

Answer : x = -13/18

Please help!!! 20 Points!! The total price of 6 pieces of drawing paper and 1 ballpoint pen at $0.70 is equal to the total price of a piece of drawing paper and a box of paints How much is the price of a piece of drawing paper?

Answers

Answer:

$4.21

Step-by-step explanation:

6*70+1=421

The total cost for laundry service, in dollars, depends on the weight of the laundry, in pounds. This relationship is proportional, as it costs $20.70 for 23 pounds of laundry and $34.20 for 38 pounds of laundry.

In words, describe the graph of the proportional relationship.

A line from (0, 0) going through (20.70, 23) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)
A line from (0, 0) going through (23, 20.70) where the x-axis is labeled Cost (in dollars) and the y-axis is labeled Weight (in pounds)
A line from (0, 0) going through (38, 34.20) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)
A line from (0, 0) going through (38, 34.20) where the x-axis is labeled Cost (in dollars) and the y-axis is labeled Weight (in pounds)

Answers

The graph of the proportional relationship is

(c) A line from (0, 0) going through (38, 34.20) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)

What is Graph?

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Given:

It costs $20.70 for 23 pounds of laundry and $34.20 for 38 pounds of laundry.

which shows that

(x, y) = (20.70, 23) and (34.20, 38)

Where

x = Weight and y = Cost

So, The graph is a proportional graph which means that line passes through the origin

So, we have

(x, y) = (0, 0), (20.70, 23) and (34.20, 38)

Hence, the graph of the proportional relationship is (c)

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What is the square of -37

Answers

Rounded to the whole number: 6

Enola opened a savings account with $8400 that earns 1.8% simple interest annually. After how many years will the balance of the account be $9600? Round to the nearest tenth, if necessary.

Answers

After 8 years the balance of the account would be $9600.

What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Simple Interest =(P×r×t)/100

where:

P =Principal

r = interest rate

t = time

Given:

Principal, P = $8400

Rate of interest, r = 1.8%

Final amount, A = $9600

Simple interest, S.I = Final amount - Principal = 9600 - 8400 = $ 1200

Now, 1.8% of 8400 = (1.8/100) × 8400 = 151.2

⇒ Interest of 1 year = $151.2

Interest after x years = $1200

x = 1200/151.2 = 7.94 ≈ 8 years

Therefore, after 8 years the balance of the account would be $9600.

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(2x + 6)
The perimeter (adding up all the sides) of a rectangular
piece of land is 228 feet. The length of the land can be
shown by x and its width can be shown by (2x + 6).
Solve for x, and then plug it back in to find the Length
and the Width of the land.

Answers

The value of x is 36 feet and the length of the rectangle is 36 feet and the width is 78 feet.

According to the question,

We have the following information:

The perimeter (adding up all the sides) of a rectangular piece of land is 228 feet. The length of the land can be shown by x and its width can be shown by (2x + 6).

We know that the perimeter of rectangle is given by the following formula:

2(length+width)

2(x+2x+6) = 228

2(3x+6) = 228

Dividing by 2 on both the sides:

3x+6 = 228/2

3x+6 = 114

Subtracting 6 from both the sides:

3x = 114-6

3x = 108

x = 108/3

x = 36 feet

Now, the length of the rectangle = 36 feet

Width = 2x+6

Width = 2*36+6

Width = 72+6

Width = 78 feet

Hence, the value of x is 36 feet and the length of the rectangle is 36 feet and the width is 78 feet.

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Need help for this question

Answers

Answer:

b) 6

Step-by-step explanation:

Given information,

→ P = (5x + 30)°

→ S = 80°

Forming the equation,

→ P + S = 140°

→ (5x + 30)° + 80° = 140°

Now the value of x will be,

→ (5x + 30)° + 80° = 140°

→ 5x + 110° = 140°

→ 5x = 140° - 110°

→ x = 30°/5

→ [ x = 6° ]

Hence, the value of x is 6.

Answer: (B.) 6
Hope that helps

solve 2^(x+3)=(1/8)^(x+2) for x

Answers

Answer:

-9/4 Negative As a Fraction

How I got the answer:

2 (x+3) = (1/8) (x+2)

x+ 3 = -3 (x+ 2)

x = -9/4

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the expression 18+1.5x is 8 less than 36.5. What is the value of 4x

Answers

In the expression 1.5x + 18 = 36.5 - 8 x is 7, hence 4x is 28.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An expression 18 + 1.5x is 8 less than 36.5.

∴ 1.5x + 18 = 36.5 - 8.

1.5x = 36.5 - 8 - 18.

1.5x = 10.5.

x = 10.5/1.5.

x = 7.

Therefore 4x is equal to 4(7) = 28.

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Graph the polynomial function f(x) = x^3 + 3x^2 – 4x – 12 using its intercepts and end behavior

Answers

The graph of the polynomial f(x) is added as an attachment

How to plot the graph of the polynomial?

From the question, the equation of the polynomial is given as

f(x) = x^3 + 3x^2 – 4x – 12

To start with, we need to represent the function of the polynomial properly

So, we have the following representation

f(x) = x³ + 3x² – 4x – 12

Solving further, we need to factorize the function

This gives

f(x) = x²(x + 3) - 4(x + 3)

Factor out x + 3

f(x) = (x² - 4)(x + 3)

Express as difference of two squares

f(x) = (x - 2)(x + 2)(x + 3)

When the above equation is solved, we have

x = 2, x = -2 or = -3

This means that the intercepts of the function are -3, -2 and 2

Next, we plot the polynomial function using the above intercepts and the end behavior

See attachment for the graph of the function

Answers

The absolute value of +4 will be 4 units as it is the distance from (0,0) to (4,0) in coordinate plane.

What is absolute value?

Without taking into account direction, absolute value defines how far a number is from zero on the number line. A number's absolute value can never be negative. Look at some illustrations. 5 is the sum of its absolute values. There are 5 units between 5 and 0. A number's absolute value is determined by how far it is from zero on the number line. For instance, the absolute value of -7 would be 7, as it is 7 units away from zero. Additionally, since 0 is 7 units distant, the value of 7 would likewise be 7.

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Describe the transformation of the parent
function f(x) = x².
f(x) = (x − 1)² +3

Answers

The transformation from the parent function is a translation by 1 unit right and 3 units up

How to describe the transformation from the parent function?

From the question, we have the following function that can be used in our computation:

f(x) = x²

f(x) = (x − 1)² + 3

First, we have the transformation to be:

From f(x) = x² to f(x) = (x − 1)²

This means the function is translated right by 1 unit

Next, we have:

From f(x) = (x − 1)² to f(x) = (x − 1)² + 3

This means the function is translated up by 3 units

Hence, the transformation is 1 unit right and 3 units up