A middle school mathematics teacher except a teaching position that pays 40,000 per year, each year the expected raise is $2000. How much total money with this teacher and teaching middle school math Mathematics over the first 30 years?

Answers

Answer 1

9514 1404 393

Answer:

  $2,070,000

Step-by-step explanation:

The series of salaries has a first term of $40,000 and a common difference of $2,000. The sum of them is given by the formula ...

  Sn = (2a1 +d(n -1))(n/2)

where a1 is the first term of the series, d is the common difference, and n is the number of terms.

In this problem, we have ...

  a1 = 40,000; d = 2,000; n = 30

so the sum is ...

  S30 = (2(40,000) +2,000(30 -1))(30/2) = (80,000 +58,000)(15)

  S30 = 2,070,000

The teacher will earn $2,070,000 over 30 years on this salary schedule.


Related Questions

All swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45. Find the discount.

Answers

The discount is $18 if the all swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

All swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

The regular price = $45

The discount is worth = 40% of 45

= (40×45)/100

= $18

Thus, the discount is $18 if the all swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ1

What number divided by−3 gives 12 as the result?
​​

Answers

Answer:

-36

Step-by-step explanation:

x / (-3) = 12

x = 12*(-3)

x = -36

How do I find y to solve for the vertex? (Transformations, Quadratic functions)
I know how to solve for the x but I'm confused on solving for the Y. Thank you!

Answers

Answer:

the other answer is zero.

Step-by-step explanation:

Step 1: Use the vertex form, [tex]y=a(x-h)^2+k[/tex], to determine the values of a, h, and k. The "k" value is always the "y" value in a ordered pair. Since there is no "k" value, the "k" value will just be zero. In turn, since the "k" value is zero... so will the "y" value be zero.

[tex]a=8\\\\h=21\\\\k=0[/tex]

GIVING BRAINLIEST FOR WHO ANSWERS FIRST.

Answers

Answer:

T =54 degrees

since x=10

6x-6 =54

are you clear, if yes give me brainliest and if no draw my attention by hitting the comment section

geometry help math pls

Answers

Answer:

40

Step-by-step explanation:

The parallelograms are similar, so their corresponding sides are proportional.  Write a proportion:

12 / 30 = 16 / PQ

Cross multiply:

12 PQ = 480

Solve for PQ:

PQ = 40

PLEASE HELP ME PLEASEEEEEEEEE

Answers

Answer:

5 week

Step-by-step explanation:

13.75/ 2.75

=5

Money Needed / Money Per Week = Number of Weeks

13.75 / 2.75 = 5

It will take 5 weeks.

3.
Mr. Hickman's cherry tree grew 12 inches in of a year. At that rate,
4
how much would it grow in 1 year?


Answers

Answer:

At the given rate, Mr. Hickman's cherry tree would grow 16 inches in 1 year.

Step-by-step explanation:

I assume the actual question is:

"Mr. Hickman` s cherry tree grew 12 inches in 3/4 of a year. How much would it grow in one year ?"

As stated,

In 3/4 of a year, Mr. Hickman's cherry tree grew = 12 inches

Therefore,

In 1 year, Mr. Hickman's cherry tree would grow = [tex]\frac{1}{\frac{3}{4} }*12[/tex] inches

= 4/3 * 12 inches

= 16 inches

Hence, at the given rate, Mr. Hickman's cherry tree would grow 16 inches in 1 year.

Lines QS and NR intersect at P. Ray PM is perpendicular to line SQ.

What is the value of y?

Answers

Answer:

A. 13

Step-by-step explanation:

[tex] (6y - 14) + 90 + (2y) = 180 [/tex] (angles on a straight line)

Solve for y

[tex] 6y - 14 + 90 + 2y = 180 [/tex]

Collect like terms

[tex] 6y + 2y - 14 + 90 = 180 [/tex]

[tex] 8y + 76 = 180 [/tex]

Subtract 76 to both sides

[tex] 8y + 76 - 76 = 180 - 76 [/tex]

[tex] 8y = 104 [/tex]

Divide both sides by 8

[tex] \frac{8y}{8} = \frac{104}{8} [/tex]

[tex] y = 13 [/tex]

I need help fast I need help on this What is the expanded form of this number?

14.702 and i'm in the 5th grade

Answers

The answer is + 2 x. 0.001

What is the solution to the system of equations?
O (-8,-4)
O(-4,-8)
O (44)
0 (4-4)

Answers

Answer:

C.

(2,4)

Step-by-step explanation:

i did it on edge

happy holidays :)

Answer: It's B (-4, -8)

Step-by-step explanation:

A vaccine, which is currently in use, is known to be 80% effective. A pharmaceutical company has developed a newvaccine and the company claims that 90% of the people given the new vaccine will develop the immunity. Supposethe claim of the company is true, and the newly developed vaccine is given to 20 people. The expected number of people in the sample that will develop the immunity is:__________ a) 90% b) 18% c) 16% d) 80%

Answers

Answer:

The correct answer is B) 18%

Step-by-step explanation:

Note that the vaccine is already and is 80% effective. This means that if the entire population was administered with the vaccine, only 8/10 would gain immunity leaving 2/10 or 0.2 exposed.

If the new vaccine, therefore, is supposed to be 90% effective, it is only pragmatic to administer it against those who do not have immunity which is 0.2 of the existing population.

So to get the percentage that will develop immunity, we have:

0.2 x 0.9 = 0.18 or 18%

Cheers!

si sna es 12 años menor que eva y dentro de 7 años la edad de eva es el doble que la edad de ana que edad tiene eva​

Answers

Responder:

17

Explicación paso a paso:

Dejar ;

Edad de Eva = x

Edad de Ana = x - 12

Dentro de los 7 años de la edad de Eva, la edad de Ana será el doble

x + 7 = 2 (x - 12 + 7)

x + 7 = 2 (x - 5)

x + 7 = 2x - 10

x - 2x = - 10 - 7

-x = - 17

x = 17

Por lo tanto, Eva tiene 17 años.

Denise bought 5.2 pounds of rice for $5.29. Using the unit rate, how much would 2 pounds of rice cost? A $1.02 C $2.04 B $1.29 D $6.31

Answers

Answer:

it's A

Step-by-step explanation:

Answer:

C. $2.04

Step-by-step explanation:

Because we see that 5.2 pounds is $5.29, roughly around 5.2, we can infer that 2 pounds of rice would equal just a little bit over $2, and the only logical answer would be $2.04.

Hope this helps you have a good day!

On the first math exam, 16 students received an A grade. On the second math exam,
12 students received an A. grade. What percentage decrease is that?

Answers

Answer: that four of them are stupid

Step-by-step explanation:

Answer:

25% :D

Step-by-step explanation:

what is 150mm in meters

Answers

Answer:

150 millimetres = 0.15 metre

HURRY UP PLZZZZZ

I NEED TO FINISHHHH

I WILL MARK BRAINLYEST!!!
:)

Answers

Answer:

I think 60

Step-by-step explanation:

have a great day

Answer:

The answer is $300

Step-by-step explanation:

15 dollars per lawn times 5 lawns per day is $75 and 75×4 is 300

Choose all the expressions that are equal to 0.7 × 0.41.
A. 7100×41100
B. 710×41100
C. 7100×4110
D. 710×4110
E. 70100×41100

Answers

Answer:

None of the expressions is equal to 0.7 x 0.41.

Step-by-step explanation:

Given that 0.7 x 0.41 is equal to 0.287, to determine which options are equal to said operation, the calculations set out for each of them must be performed:

A. 7,100 × 41100 = 291,810,000

B. 710 × 41100 = 29,181,000

C. 7100 × 4110 = 29,181,000

D. 710 × 4110 = 2,918,100

E. 70100 × 41100 = 2,918,100,000

Therefore, looking at all the results produced by the predisposed calculations, it is evident that none of the expressions is equal to 0.7 x 0.41.

There is no expression equivalent to the given expression and this can be determined by using the arithmetic operations.

Given :

Expression  --  0.7 × 0.41

The arithmetic operations can be used in order to evaluate the given expression.

[tex]0.7\times 0.41 = 0.287[/tex]

Now, check all the options in order to determine the correct option.

A) 7100×41100

Evaluate the above expression by using the arithmetic operations.

[tex]7100\times 41100 = 291810000[/tex]

Therefore, this option is incorrect.

B) 710×41100

Evaluate the above expression by using the arithmetic operations.

[tex]710\times 41100 = 29181000[/tex]

Therefore, this option is incorrect.

C) 7100×4110

Evaluate the above expression by using the arithmetic operations.

[tex]7100\times 4110 = 29181000[/tex]

Therefore, this option is incorrect.

D) 710×4110

Evaluate the above expression by using the arithmetic operations.

[tex]710\times 4110 = 2918100[/tex]

Therefore, this option is incorrect.

E) 70100×41100

Evaluate the above expression by using the arithmetic operations.

[tex]70100\times 41100 =2881110000[/tex]

Therefore, this option is incorrect.

For more information, refer to the link given below:

https://brainly.com/question/25834626

What is the slope of y = -4x- 3?

Answers

Answer:

-4

Step-by-step explanation:

Given line:

y = -4x - 3

It is given in slope-intercept form:

y = mx + b, where m is the slope

Comparing with the given we see that

m = -4, so the slope is - 4

which of the following is the simplified form of the expression 12z-4y+16z-8y

-28z+12y


28z-12y

-28z-12y

28z+12y​

Answers

Answer:

28z-12y

Step-by-step explanation:

please help 8x -4 - 6x + 9 ​

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{2x + 5}}}}[/tex]

☃️Question : Simplify

[tex] \text{8x - 4 - 6x + 9}[/tex]

Step by step explanation :

First, combine like terms :

Like terms are those which have the same base.

[tex] \longrightarrow{ \sf{8x - 6x - 4 + 9}}[/tex]

[tex] \longrightarrow{ \sf{2x - 4 + 9}}[/tex]

Remember : The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \longrightarrow{ \boxed{ \sf{2x + 5}}}[/tex]

And we're done!

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

Check all the equations that apply to meet the Segment Addition Postulate in segment OQ. OP = 6x + 5, PQ = 4x and OQ = 45.

Answers

Answer:

[tex]6x + 5 + 4x = 45[/tex]

[tex]10x = 40[/tex]

Step-by-step explanation:

Given

[tex]OP = 6x + 5[/tex]

[tex]PQ = 4x[/tex]

[tex]OQ = 45[/tex]

The given parameters show that P is a point between O and Q.

So:

[tex]OQ = OP + PQ[/tex]

Substitute values for OP, PQ and OQ

[tex]45 = 6x + 5 + 4x[/tex]

[tex]6x + 5 + 4x = 45[/tex] --- This is an equation

Collect Like Terms

[tex]6x + 4x = 45 - 5[/tex]

[tex]10x = 40[/tex] ------ This is another

Make x the subject

[tex]x = \frac{40}{10}[/tex]

[tex]x = 4[/tex]

pls help meeee plsssss

Answers

Consider lines AB and CD are interesting lines,

they intersect at the point E.

/ AED and / BEC are vertically opposite angles

/ AED~/ BEC as vertically opposite angles are equal.

what is the quotient of 8,187 divided by 24

Answers

Answer:

341.125

Step-by-step explanation:

Hope this helped, Have a Great Day!!


[tex]2 + 2 \times 32 \div 258 - 6 + 589 = [/tex]

Answers

It’s 1,101 i hope it helps!

A diver starts out at 384 feet below the surface (or - 384 feet). She then swims upward 242 feet. Use a signed number to represent the diver's current depth.​

Answers

Answer:

-142 feet

Step-by-step explanation:

-384+242 feet

=-142 feet

PLS GIVE BRAINLIEST

Who walks at a faster rate: Jake who walks 60 feet in 10 seconds or Lucy who takes 5 seconds to walk 25 feet?

Answers

Answer:

Jake

Step-by-step explanation:

The average rate of change is distance divided by time. You want both of their rates in feet per second. 60 feet divided by 10 seconds is 6 feet per second. 25 feet divided by 5 seconds is 5 feet per second. 6>5

Answer:

Step-by-step explanation:

hello my name is Mr. potato, my friends call me Mr.P but you can call me potato or Mr.P whatever you want is best for you top call me its ok for me and well I like cheese and i dont know what im doing here but i need friends im lonely looooooooool and i like a boy lol jajajjajajajaja me la chupan :3

Help for mon pls I’ll make you famous

Answers

Answer:

1. x>-1

2. x<4

3. x<-1

4. x>-2

5. x<-3

6. x<7

Step-by-step explanation:

1. 2x>-2  Divide both sides by 2.

  /2   /2

x>-1

2. 4x<16  Divide both sides by 4.

   /4   /4

x<4

3. x+4<3 Subtract both sides by 4.

      -4  -4

x<-1

4. 5x>-10  Divide both sides by 5.

  /5     /5

x>-2

5. 3x<-9   Divide both sides by 3.

   /3   /3

x<-3

6. x-4<3  Add 4 to both sides.

    +4 +4

x<7

Hope this helps you out...next time, try to figure it out yourself without asking a lot of questions. By looking at one example, you can probably apply what to do for the other inequalities.

Please help! I really need help please I will give Brainliest!
x + 2x + 12y + x
Part A: Using the expression shown, add like terms and produce an equivalent expression.
Please do B too
Part B: Rewrite your expression from Part A using the distributive property.

Answers

Answer:

A) 4x+12y

B) 2(2x+6y) is one way to do it

Step-by-step explanation:

1+1+2 is 4 and 12y cannot be added to anything.

2 x 2 is 2 ans 6 x 2 is 12

2/3x = -36
Possible answers
+24
-24
+54
-54

Answers

Answer:

-54

Step-by-step explanation:

2/3x=-36

3*2/3=3(-26)

2x=-108

2x/2= -108/2

x=-54

3x+14=2(2x-3), steps to solve

Answers

Answer:

20

Step-by-step explanation:

3x+14=2(2x-3)

3x+14=4x-6

3x-4x=-6-14

-x=-20

X=20

So the valueof X is 20

Other Questions
What is the measure of ABC? Esther wants to solve the problem using an equation. Help her write an equation to determine how many text messages Lexie could send in any number of minutes. Find the missing value in Kennys table. Solve Esthers equation. Will she get the same answer as Kenny? What is Lexies unit rate? That is, how many text messages can she send in minute Plz answer if uk theses answer Train A leaves a station 45 minutes before train B. Both trains travel in the same direction and their speeds are 36km/h and 48km/h respectively.i) How long will it take train B to catch up with train A? ii) How far from the start were the two trains when they met After checking out some books from the school library, you step off to the side to wait for your friends to check out their books. Suddenly, the lights flicker, and a voice comes on over the intercom.The library is closed indefinitely unless you and your friends can escape the library and open it back up for everyone to use. You must find the codes by solving the prompts. When you have all the codes, the library will be open for everyone again! A player throws a football across the field. The equation h (x) = -16t^2 + 44t + 3.5 models the height, h, in feet, of the football as a function of time. t, in seconds. Ivan claims the football was thrown from an initial height of 3.5 feet with an initial velocity of 16 feet per second. Complete the statement to explain why ivan is incorrect 7. Political machines were at their peak in thelate 1800s. Which of the following peoplewas associated with machine politics?A. Samuel ClemensB. Big Tim SullivanC. Thomas NastD. Jane Addams Calculate how much Carbon Dioxide IN GRAMS needs to be absorbed torelease 500g of oxygen during photosynthesis. what is the answer for this? about the most dangerous game 11. What occurs at the resolution of the story?a.Rainsford appears in Zaroffs bedroom.b.Zaroff finds Rainsfords circular trail.c.Rainsford dives into the sea.d.One of Zaroffs dogs falls into Rainsfords trap. O A. 12x + 20 = 180O B. 12x = 180O C. 12x - 20 = 180D. 8x - 10 = 4x + 10 What is the Richter Scale? A. the scale that measures global unemployment B. the scale that measures the magnitude of earthquakes C. the scale that measures disease outbreaks worldwide D. the scale that measures damage caused by earthquakes The graph of a linear function is shown on the grid.Which equation is best represented by this graph?Ay+ 7-3(x-4)B Y + 1 = -3(x + 2)Cy- 4 = 3(x + 7)Dy - 2 - 3(x - 1) What is the slope and Y intercept? What is the axis of symmetry for the following equation?y=4x2-8x+9 PLS 18. Which situation is typical of a limited government? (1 point)A. A small group of wealthy elites control the political process.B. Every government action is supported by a majority of voters.C. The government allows direct elections of all government members.D. The government faces legal consequences for violating citizens' rights. PLS HELP ASAP- nah i just dont wanna wait jkdshgkfs What did King George III place in the colonies without their permission even during times of peace? British coal British troops Plum pudding Spanish cattle 3. What is it called when you accidentally break a rule in a sport?A. RefereeB. Time outC. FoulD. Whistle I work at a company, and my boss wants me to hand out flyers and get people's names and numbers. But lately i haven't been getting many numbers. Any tips? 12.Contrast and compare:a) ionic and covalent bonding