Sarah accepted a new job at a company with a contract guaranteeing annual raises.

Sarah's salary after working for n years can be determined using the equation

S = 90000 + 3500n. What is the slope of the equation and what is its

interpretation in the context of the problem?

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

A linear equation is in the form of y = mx + b, where y is a dependent variable (that is it depends on other variable), x is an independent variable (that is it does not depend on any variable), m is the slope (rate of change) and b is the value of y at x =0

Given that S is salary, n is number of working years. It is given by:

S = 90000 + 3500n

the slope = 3500

The equation means that Sarah's beginning salary is 90000 and the salary increases by 3500 each year


Related Questions

Heyyyy you can you help me plsssz

Answers

The answer is Is A because corresponding angles are equal

what is the perimeter of the rectangle

Answers

Answer:

28 because 8 plus 8 plus 6 plus 6 sooooo 28:) brainly?

Step-by-step explanation:


[tex] \frac{3}{8} + \frac{1}{7} [/tex]
cual es el resultado?​

Answers

Answer:

El resultado es:

[tex]\displaystyle \frac{29}{56}[/tex]

Step-by-step explanation:

Suma de fracciones

Vamos a sumar:

[tex]\displaystyle \frac{3}{8}+\frac{1}{7}[/tex]

Debemos encontrar el mínimo común múltiplo (MCM) entre los denominadores, en este caso, 7 y 8.

Descomponemos en factores primos:

7=7

8=2*2*2

Se toman los comunes y no comunes con máximo exponente, así que el MCM es 7*8=56.

Se procede a dividir el MCM entre cada denominador y al multiplicarlo por su numerador correspondiente:

[tex]\displaystyle \frac{3}{8}+\frac{1}{7}=\frac{3*7+1*8}{56}=\frac{29}{56}[/tex]

El resultado es:

[tex]\displaystyle \frac{29}{56}[/tex]

Suppose Amanda LaCount is scheduled to dance 21 times in one month. If the ratio of dances completed to dances remaining is 3:4, how many dances has Amanda already performed?

Answers

Answer:

9

Step-by-step explanation:

if you add up the amount of dances she has to do, it equals 7. then you divide 21 by 7, which equals 3. then, you have to find the amount of dances she has already done, which would be 3 × 3 which equals 9.

Si se traslada con figura con lados paralelos,¿se mantienen así en la figura trasladada? Y si son perpendiculares

Answers

Answer:

sí, permanece así, todo lo que hace es mover las formas, no cambia la distancia entre sí ni la forma o tamaño de las mismas

Step-by-step explanation:

Espero que esto ayude :)

Suppose you purchase a car using an installment loan for $26,000 for 48 months at 5% annual rate. Your payment is $598.76. Which is nearest to the total finance charge?

Answers

Answer:

7

Step-by-step explanation:

kx =v+w, for x
answer fast!

Answers

Answer:

x=v+w/k

Step-by-step explanation:

Answer:

x = [tex]\frac{v+w}{k}[/tex]

Step-by-step explanation:

3x^0 for x=2.6


3x to the power of 0. for x is 26

uurgent HELPP

Answers

Answer:

3

Step-by-step explanation:

Any definite number (except zero) to the power one is one

So

3x^0

3 • 1

3

Solve for x, y, and z in the figure below.
47° 58°
x
y° / 81°

N
оа
Ob
Ос
x = 34, y = 99, z = 41
x = 41, y = 92, z = 41
x = 72, y = 61, z = 41
X = 63, y = 70, z = 41
Od

Answers

Answer:

Option (A)

Step-by-step explanation:

From the given triangle in the picture,

∠y and the angle measuring 81° is a pair of supplementary angles (linear pair angles).

m∠y + 81° = 180°

m∠y  = 180° - 81°

        = 99°

By the property of a triangle,

x° + y° + 47° = 180°

x° + y° = 180° - 47°

x° + y° = 133°

For y = 99°

x° + 99° = 133°

x° = 133° - 99°

   = 34°

Similarly, z° + 58° + 81° = 180°

z° + 139° = 180°

z° = 180° - 139°

z° = 41°

Therefore, Option (A) will be the correct option.

Applying the definition of the straight line angle and sum of triangle, the values of the variables in the figure are:

x = 34, y = 99, z = 41

Recall:

Angles on straight line = 180°Sum of triangle = 180°

Thus:

y° + 81° = 180° (angles on a straight line)

Subtract 81 from each side

y° = 180° - 81°

y° = 99°

x° +  y° + 47° = 180° (sum of triangle)

Substitute

+ 99° + 47° = 180°

x° + 146° = 180°

Subtract 146° from each side

x° = 180° - 146°

x° = 34°

z° + 81° + 58° = 180° (sum of triangle)

z° + 139° = 180°

Subtract 139° from each side

z° = 180° - 139°

z° = 41°

Learn more here:

https://brainly.com/question/20676975

What does each small square in the model represent?

Answers

Answer:

Each small square represents 0.1 units.

Step-by-step explanation:

Answer:

It should equal 0.1 unit units each.

sorry if wrong.

In Algebra, we learn about functions of various types. These functions are often seen in a progression from least complicated (linear) to most complicated (piecewise with nonlinear parts). And then there are other types of functions in-between: exponential, quadratic, polynomial, radical, and logarithmic. But with all their differences and unique properties, these share a common trait of being functions that we can graph in a coordinate plane.

What are some other things you can observe to have that same quality of functions: unique, but sharing a common trait or purpose?

Answers

Somethings I can observe that have the same quality is that all functions only have one outcome for a given input. A vertical line will never meet the graph more than once. No X values are used more than once. A function will have either no horizontal asymptote or just one asymptote. These are some common traits that all functions have.

We can see that all functions have the one outcome for one value of x if we can see all the functions carefully.

What is a function?

A function is a relation in which each value of x corresponds to some value of y.

How to determine the features of a function?

When we see some functions, they have the same quality of giving one result for one  input. The quality of the graph of all functions is that the vertical line cannot meet the axis twice.

Learn more about functions at https://brainly.com/question/10439235

#SPJ2

please answer this!
giving brainliest

Answers

Answer:

5. 65

6. 80

7. m<7 and m<2

andom variable X has CDF given as follows. Find the PMF of X.Find the PMF of X, and confirm that it is a valid PMF.

Answers

Complete Question

Random variable X has CDF given as follows

        [tex]F(x)_x = \left \{ {{{{{{{ 0 \ \ \ \ \ \ \ \ \ \ x < 0} \atop {\frac{8}{33}} \ \ \ \ \ \ 0 \le x \le 1} \atop{ \frac{5}{11} }\ \ \ \ \ 1 \le x \le 2 } \atop {\frac{7}{11} } \ \ \ \ \ \ 2 \le x \le 3} \atop{ \frac{26}{33} }\ \ \ \ \ 3 \le x \le 4 }\atop {\frac{10}{11} } \ \ \ \ \ \ 4 \le x \le 5} \atop{ 1}\ \ \ \ \ \ \ \ 5 \le x } \right.[/tex]

Find the PMF of X.Find the PMF of X, and confirm that it is a valid PMF.  

Answer:

Generally the PMF is

      X               0        1       2      3         4       5  

    P(X = x)      [tex]\frac{8}{33}[/tex]        [tex]\frac{7}{33}[/tex]      [tex]\frac{2}{11}[/tex]     [tex]\frac{5}{33}[/tex]        [tex]\frac{4}{33}[/tex]     [tex]\frac{1}{11}[/tex]

Generally to prove the validity of the PMF we add the probabilities , if it is equal to  1 then the PMF is valid otherwise , the PMF is not valid

So

      [tex]\sum P(X = x) = \frac{8}{33} + \frac{7}{33} + \frac{2}{11} + \frac{5}{33} + \frac{4}{33}+ \frac{1}{11}[/tex]

      [tex]\sum P(X = x) =1[/tex]

Hence the PMF is valid

Step-by-step explanation:

Generally the probability of  X = 0  is evaluated as

       [tex]P(0) = F(0) \ \ (for \ x \le 0) - F(0) \ ( for \ x < 0)[/tex]

=>    [tex]P(0) = \frac{8}{33} - 0[/tex]

=>    [tex]P(0) = \frac{8}{33}[/tex]

Generally the probability of  X = 1  is evaluated as

       [tex]P(1) = F(1) \ \ (for \ 1 \le 0) - F(1) \ ( for \ x < 1)[/tex]

=>    [tex]P(1) = \frac{5}{11} - \frac{8}{33}[/tex]

=>    [tex]P(1) = \frac{7}{33}[/tex]

Generally the probability of  X = 2  is evaluated as

       [tex]P(2) = F(2) \ \ (for \ 2 \le x ) - F(2) \ ( for \ x < 2)[/tex]

=>    [tex]P(2) = \frac{7}{11} - \frac{5}{11}[/tex]

=>    [tex]P(2) = \frac{2}{11}[/tex]

Generally the probability of  X = 3  is evaluated as

       [tex]P(3) = F(3) \ \ (for \ 3 \le x ) - F(3) \ ( for \ x < 3)[/tex]

=>    [tex]P(3) = \frac{26}{33} - \frac{7}{11}[/tex]

=>    [tex]P(3) = \frac{5}{33}[/tex]

Generally the probability of  X = 4  is evaluated as

       [tex]P(4) = F(4) \ \ (for \ 4 \le x ) - F(4) \ ( for \ x < 4)[/tex]

=>    [tex]P(4) = \frac{10}{11} - \frac{26}{33}[/tex]

=>    [tex]P(4) = \frac{4}{33}[/tex]

Generally the probability of  X = 5  is evaluated as

       [tex]P(5) = F(5) \ \ (for \ 5 \le x ) - F(5) \ ( for \ x < 5)[/tex]

=>    [tex]P(5) = 1- \frac{10}{11}[/tex]

=>    [tex]P(5) = \frac{1}{11}[/tex]

Generally the PMF is

      X               0        1       2      3         4       5  

    P(X = x)      [tex]\frac{8}{33}[/tex]        [tex]\frac{7}{33}[/tex]      [tex]\frac{2}{11}[/tex]     [tex]\frac{5}{33}[/tex]        [tex]\frac{4}{33}[/tex]     [tex]\frac{1}{11}[/tex]

Generally to prove the validity of the PMF we add the probabilities , if it is equal to  1 then the PMF is valid otherwise , the PMF is not valid

So

      [tex]\sum P(X = x) = \frac{8}{33} + \frac{7}{33} + \frac{2}{11} + \frac{5}{33} + \frac{4}{33}+ \frac{1}{11}[/tex]

      [tex]\sum P(X = x) =1[/tex]

Hence the PMF is valid

Imagine an element that has 15 protons, 16 neutrons, and 18 electrons. Which of the following would NOT be considered an isotope of this element? *

15 protons, 16 neutrons, and 15 electrons
15 protons, 17 neutrons, and 15 electrons
15 protons, 15 neutrons, and 18 electrons

Answers

Answer:

15 protons, 15 neutrons and 18 electrons (3rd one) is the answer

Step-by-step explanation:

100 centimeters equals 1 meter. Convert 165 centimeters to meters

Answers

Answer:

1.65 Meters

Step-by-step explanation:

Since 100 CM equals 1 Meter,

165 CM equals 1.65 Meters.

Hope this helps! <3

Answer:

1.65 meters

Step-by-step explanation:

100 cm = 1 m

165 cm = 1.65 m

Sorry that i can't explain more, i hope this helps though!

rounding to the nearest tenth, which of the following give an overestimate?

45.07 × 3.45


19.74 × 5.53

8.16 × 60.29

2.92 × 77.81

32.86 × 10.4​

Answers

1. 157.5108.35

2. 108.35

3. 494.46

4. 233.7

5. 342.16

Step-by-step explanation:

Which number equals 9x100+9x10+0x1+0x1/10+3x1/100+7x1/1000

Answers

Answer:

bro u just made my brain explode lollllllllllllllllllllllllllllll

Answer: The answer should be or somewhere around 991.13700

Find the value of the missing number.

Answers

Answer:

y= 9

x= 10

Explanation:

I don't really know if this is correct-

X=45
Y=5

Remember all triangles equal 180 degrees

What is the answer to
1 + 3(8.63) =

Answers

Answer:

26.89

Step-by-step explanation:

Sue sees 30 adult elephants and 18 baby elephants at the zoo. What is the ratio of adult elephants to baby elephants

Answers

Answer: 30:18 or 30 to 18

Step-by-step explanation:

Is √49 rational numher

Answers

Answer:

Yes

Step-by-step explanation:

Because 7x 7=49

Or 49 divided by 7 is 7

Answer:

yes

Step-by-step explanation:

b/c the sq root of 49 is 7

Solve this please to get brainliest


I can be late, I can be early, I can be astronomical or atomic and my insides are incredibly complex. What am I?

Answers

Answer:

Clock

Step-by-step explanation:

The answer is Clock because the time changes from AM to PM and there are many things inside that cause it to work.

SHOW WORK: h(x)= -4x+4, what is x when h(x)=-20 ? *

Answers

X=6 is the answer
Hope this helps

Answer:

x=6

Step-by-step explanation:

h(x)=-20 is the same as saying y=-20, so you would substitute h(x) with -20 and solve the equation from there.

[tex]-20=-4x+4[/tex]

[tex]-4[/tex]               [tex]-4[/tex]

---------------------

[tex]\frac{-24}{-4} =\frac{-4x}{-4}[/tex]

[tex]6=x[/tex]

at springtown café, 5/9 of the customers left a large tip. In contrast, 3/10 of the customers at Allenville bistro left a large til. Which restaurant had a greater fraction of customers who left a large tip? please help

Answers

Answer:

Springtown Cafe

Step-by-step explanation:

If you want to be sure, find a common denominator. 9 and 10 are the denominators of each fraction. Find the multiples of each (9's multiples would be 9, 18, 27, etc.) and find a common multiple between the two. In this case, it would be 90. Multiply the denominator to get the common denominator. 9 x 10 = 90, 10 x 9 = 90. Remember to multiply both the top and bottom.

5/9 = 50/90

3/10 = 27/90

Now, we can clearly see that 5/9 is larger than 3/10.

So, Springtown cafe has a greater fraction of customers who left good tips.

PLEASE HELP ILL GIVE U BRAINLIEST AND UP THE POINTS!

Answers

Answer:

I think you have chosen the right answer.

Answer: your answer is right

Step-by-step explanation:

Which of the following is not a property of zero? A.Zero is neither positive nor negative.
B. If you add zero to a number, the answer will be that same number.
C. If you multiply any number by zero, the answer will be zero
D. if you divide any number by zero, the answer will be zero​

Answers

Answer:

D

Step-by-step explanation:

you can't divide by zero

minimum or maximum value of f(x)=−0.5x2+2x−5.

Answers

In the equation assign each number a letter:

A = -0.5, b = 2 and c = -5

Maximum = -b/2a = -2/2(-0.5) = 2

Minimum = replace x in the equation with the maximum and solve for y:

-0.5(2)^2 +2(2) -5 = -3

Maximum and minimum = (2,-3)

HELP ASAP


IDK WHAT THIS IS HELP

Answers

Answer:

b. [tex]\frac{13}{6}[/tex]

Step-by-step explanation:

(15, 3) (9, -10)

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

[tex]\frac{-10 + -3}{9 - 15}[/tex]=   [tex]\frac{-13}{-6}[/tex] = [tex]\frac{13}{6}[/tex]

Josh rents a kayak at a nearby state park. He pays a flat rate of $12.99 plus $3.75 for each hour that he spends in the water. Josh spends 4.5 hours on the river. How much did he spend?

Answers

$29.865 your welcome

The contractor in charge of organizing your pool complex project has informed you that he has found two landscape companies willing to do the work. The 1st company says they can get the entire job done in 72 hours. The 2nd company says they can get the job done in 24 hours. You've decided that it would be best if both companies worked together to get the job done quicker! How many hours would it take to complete the landscaping job if the two companies worked together?

Answers

Answer:

18 hours

Step-by-step explanation:

Time taken to complete the job by 1st company = [tex]72\ \text{hours}[/tex]

Time taken to complete the job by 2nd company = [tex]24\ \text{hours}[/tex]

The job completed in 1 hour by 1st company = [tex]\dfrac{1}{72}\ \text{job}[/tex]

The job completed in 1 hour by 2nd company = [tex]\dfrac{1}{24}\ \text{job}[/tex]

The amount of job completed in 1 hour if they both work together[tex]1\ \text{hour}=\dfrac{1}{72}+\dfrac{1}{24}=\dfrac{1}{18}\ \text{job}\\\Rightarrow 1\ \text{job}=\dfrac{18}{1}\ \text{hours}=18\ \text{hours}[/tex]

So, if both companies work together it will take 18 hours to finish the job.

Other Questions
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