John has been working for the Acme Toy Co. for 18 years and makes $82,000. If he has been getting a
raise of $2,500 per year (and continues to do so), write an equation that gives John's pay for any number
of years that he has been working for Acme Toy Co.

Answers

Answer 1

Answer: [tex]37000+2500n[/tex]

Step-by-step explanation:

Given

John makes $82,000 per year after 18 years

If he would have to get a raise of $2500 per year

Suppose he starts with a salary of [tex]x[/tex]

after the first year, his salary would be

[tex]\Rightarrow x+2500[/tex]

After 2 years, the salary would be

[tex]\Rightarrow x+2500+2500=x+2\times 2500[/tex]

Similarly, after n years salary is

[tex]\Rightarrow x+2500n[/tex]

For 18 years, it is

[tex]\Rightarrow x+2500\times 18=82,000\\\Rightarrow c=82,000-45,000=\$\ 37,000[/tex]

So, after n years of working salary is [tex]37,000+2500n[/tex]


Related Questions

Can someone please answer this question? It is from RSM. The first to answer will be marked brainliest

Answers

Answer:

16/20=0.8

Step-by-step explanation:

hope this helps

Answer:

I think it's the second one

In ………………………………… areas, the annula temperatures is often below Freezing point​

Answers

Answer:

Tundra

Step-by-step explanation:

In Tundra (or arctic) areas, the annula temperatures is often below Freezing point

help me? please?????????

Answers

8/63 is the simplest form of the fraction

Answer:

[tex]\huge\boxed{\tt{\frac{8}{63} }}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{8}{9} * \frac{1}{7} \\\\= \frac{8*1}{9*7} \\\\= \frac{8}{63} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807


Let event A = The animal is a bird
Let event B = The animal can fly.
Which outcomes are in A and B?
A. {penguin, robin, sparrow, pelican, bat)
OB. {robin, sparrow, pelican}
O C. (penguin, robin, sparrow, pelican}
O D. (robin, sparrow, pelican, bat)

Answers

Answer:

B. {robin, sparrow, pelican}

Step-by-step explanation:

hope it helps you...

The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Let event A = The animal is a bird

Let event B = The animal can fly.

Hence, We get;

The outcomes are in A and B in which animal is a bird and also can fly.

Thus, The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

Hence, The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

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A box of ceral contains 10 cups . if each bowl holds 1 1/4 cups of cearal. how many bowls of ceral will you get out of the box

Answers

Answer:

8 bowls

Step-by-step explanation:

10=40/4

1 1/4=5/4

40/4 divided by 5/4=160/20

160/20=8/1

Answer: the answer is 8

Step-by-step explanation:

Part 2: Identify key features and graph a circle from general form.
Answer the following questions to determine the key features of the circle whose equation is shown
and then graph it.
x2 + y2 + 12x-2y - 12 = 0

a) Write the equation of the circle in standard form. (3 points)

b) What is the center of the circle? (1 point)

c) What is the radius of the circle? (1 points)

d) Sketch a graph of the circle and label the center and the endpoints of the horizontal and
vertical diameter. (4 points)

Answers

Answer:

Subtract

12

from both sides of the equation.

x

2

+

y

2

12

x

+

2

y

=

12

Complete the square for

x

2

12

x

.

Tap for more steps...

(

x

6

)

2

36

Substitute

(

x

6

)

2

36

for

x

2

12

x

in the equation

x

2

+

y

2

12

x

+

2

y

=

12

.

(

x

6

)

2

36+y2+2y=−12

Move

−36

to the right side of the equation by adding

36

to both sides.

(x−6)2+y2+2y=−12+36

Complete the square for

y2+2y.

Tap for more steps...

(y+1)2−1

Substitute

(y+1)2−1

for

y2+2y

in the equation

x2+y2−12x+2y=−12.

(x−6)2+(y+1)2−1=−12+36

Move

−1

to the right side of the equation by adding

1

to both sides.

(x−6)2+(y+1)2=−12+36+1

Simplify

−12+36+1.

Tap for more steps...

(x−6)2+(y+1)2=25

This is the form of a circle. Use this form to determine the center and radius of the circle.

(x−h)2+(y−k)2=r2

Match the values in this circle to those of the standard form. The variable

r

represents the radius of the circle,

h

represents the x-offset from the origin, and

k

represents the y-offset from origin.

r=5 h=6 k=−1

The center of the circle is found at

(h,k).

Center:

(6,−1)

These values represent the important values for graphing and analyzing a circle.

Center: (6,−1)

Radius:

5

image of graph

Step-by-step explanation:

Answer:

A) (x+6)^2 + (y-1)^2 =49

B) (-6, 1)

C) Radius of 7

D) I’ll try to add picture

Step-by-step explanation:

hotomath

PLEASE HELP DUE IN 3 minutes

Answers

Answer:

B

Step-by-step explanation:

B option 2nd histograms  matches with the data given in table...

having trouble with this problem, pls help :/ I know the answer, just not how to get there. (ap calc ab, integrals)

Answers

Answer: D) 101

Step-by-step explanation:

By linearity, we can break it up into 2 integrals. The integral and derivative of f easily cancel out

[tex]\int\limits^{10}_{-1} {(2x+0.5f'(x))} \, dx =\int\limits^{10}_{-1} {2x} \, dx +0.5\int\limits^{10}_{-1} {f'(x)} \, dx =x^2|^{^{10}}_{_{-1}}+0.5f(x)|^{^{10}}_{_{-1}}\\=(100-1)+0.5(f(10)-f(-1))=99+0.5(8-4))=101[/tex]

I used the table for values of f(x) at 10 and -1. Wouldn't be surprised if this was part of a series of questions about f because I really can't see how you could use the hypothesis that f is twice differentiable on R. Same for the other table values. I'm curious about how you found the answer. Was it a different way?

Been posting this question for days now (Q5) ....pls I beg of you if you don't know don't reply ​

Answers

Answer:

a. Another letter that have corresponding angles is the letter 'E'

b. Another letter that have alternate angles is the letter 'N'

Step-by-step explanation:

The capital letter 'F' can be described as letter can be presented as follows;

Two horizontal parallel lines touching and perpendicular to a common transversal

Therefore, the parallel lines in the letter 'F' and their common transversal form corresponding angles below each parallel line and the common transversal

The two horizontal lines in the capital letter Z and the inclined transversal form alternate angles between the transversal and the parallel lines, in the region between the parallel lines and on opposite sides of the transversal

a. Another letter that have corresponding angles is the letter 'E'

b. Another letter that have alternate angles is the letter 'N'

what is 4x + 8 = 10 ​

Answers

Answer: x= 1/2

4x+8=10 1. Subtract 8 from both sides
-8 -8
——————
4x=2 2. Divide each side by 4
/4 /4
—————— 3. Simplify fraction
x=1/2

Write an equation and solve for the missing anglemeasure.

Equation: _______________________

Angle g = ___________

Answers

Answer:

Equation: [tex]143 + g = 180[/tex]

[tex]g =37[/tex]

Step-by-step explanation:

Given

The attached figure

Required

The equation to find g and the solution

From the attached: Angles ACD, DCE and ECB lie on a straight line.

Where

[tex]ACD = 90[/tex]       [tex]DCE = 53[/tex]     [tex]ECB = g[/tex]

This means that:

[tex]ACD + DCE + ECB = 180[/tex]

[tex]90 + 53 + g = 180[/tex]

[tex]143 + g = 180[/tex]

Subtract 143 from both sides

[tex]-143 + 143 + g = 180 - 143[/tex]

[tex]g = 37[/tex]

A population of bacteria is initially 500. After two hours the population is 250. If this rate of decay continues, find the exponential function that represents the size of the bacteria population after t hours. Write your answer in the form f(t)=a(b)t. If you need to round any decimals, round to four decimal places.

Answers

Answer:

500(1/2)^t/2

Step-by-step explanation:

Use the exponential function f(x)=a(b)ct. The initial population, 500, gives the the point (0,500) and leads to coefficient of the exponential function, a=500.

f(t)=2000(b)ct

After 2 hours, the population has decreased by half. This means the common ratio is one-half, b=12. Because it takes 2 hours for the population to be cut in half, we know ct=1 when t=2, therefore c=1t and c=12. This gives the equation:

f(t)f(t)=500(12)12(t)=500(12)t2

Alternate Solution

The situation shows there are two points (0,500) and (2,250). Plugging the first point in, you solve for a=500 as follows:

500a=a(b)0=500

The decay coefficient, b, can be determined by substituting in the value for a and the point (2,250) and the solving as follows:

25025050012(12)12b=500(b)2=b2=b2=b≈0.7071

This gives the final exponential equation:

f(t)=500(0.7071)t

When the exponential function that represents the size of the bacteria population after t hours is = [tex]500(1/2)\wedge t/2[/tex]

Calculation of Exponential function

When we Use the exponential function f(x)=a(b)ct. Then, The initial population, 500, Also, gives the point (0,500) and then leads to the coefficient of the exponential function, a is =500.

Then, f(t)=2000(b)ct

After that, for 2 hours, the population decreased by half. Then, This means the common ratio is one-half, b=12. Because it takes 2 hours for the population to be cut in half, Now, we know ct=1 when t=2, therefore c=1t, and c=12. This gives the equation:

Then, f(t)f(t)=500(12)12(t)=500(12)t2

Now, an Alternate Resolution

When The situation shows there are two points (0,500) and (2,250). Plugging the first point in, you solve for a is =500 as follows:

After that, 500a=a(b)0=500

Then, The decay coefficient, b, can be determined by substituting the value for a and the point (2,250) and also the solving as follows:

Now, 25025050012(12)12b =500(b)2=b2=b2=b≈0.7071

So, This gives the final exponential equation:

Therefore, f(t) is =500(0.7071)t

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What is another possible solution to the inequality -2x > 6?

Answers

Answer:

Step-by-step explanation:

Answer:

x<−3

Step-by-step explanation:

Let's solve your inequality step-by-step.

−2x>6

Step 1: Divide both sides by -2.

−2x/−2 > 6/−2

Answer:

x<−3

HOPE THIS  HELPS

Branliest pls?

In ΔTUV, the measure of ∠V=90°, the measure of ∠T=72°, and VT = 6.6 feet. Find the length of TU to the nearest tenth of a foot.

Answers

Answer:

21.4

Step-by-step explanation:

Answer:

21.4

Step-by-step explanation:

delta math told me! :)

Recently many companies have been experimenting with telecommuting, allowing employees to work at home on their computers. Among other things, telecommuting is supposed to reduce the number of sick days taken. Suppose that at one firm, it is known that over the past few years employees have taken a mean of 5.4 sick days. This year, the firm introduces telecommuting. Management chooses a simple random sample of 80 employees to follow in detail, and at the end of the year, these employees average 4.5 sick days with a standard deviation of 2.7 days.
a) Describe the population in the context of this problem
b) Describe the parameter u in the context of this problem.
c) Describe the sample in the context of this problem.
d) Describe the statistic in the context of this problem
e) The firm would like to know if there is evidence that the true mean number of sick days for all employees of the firm has decreased after telecommuting was introduced. State the hypotheses. Use ?-0.10.
f) Check the assumptions. If you don't know if an assumption is satisfied based on the information provided, then state "We must assume
g) Calculate the test statistic
h) Find the p-value.
i) Make a decision.
j) State the conclusion in terms of the problem.

Answers

Answer:

A.) Population : All employees at a firm

B.) μ = 5.4

C.) Sample : 80 employees at a firm

D.) Sample mean, x bar = 4.5

Step-by-step explanation:

From the question :

E.)

H0: μ ≥ 5.4

H1 : μ < 5.4

F.)

If Pvalue < α ; Reject H0

G.)

Test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(4.5 - 5.4) ÷ (2.7/sqrt(80))

-0.9 ÷ 0.3018691

= - 2.98

H.)

Pvalue fro Zscore calculator, α = 0.10 = 0.002882

I.)

Decision :

0.002882 < 0.10

Since, Pvalue < α ; We reject the Null

J.)

We Can conclude that the true mean number of sick days for all employees of the firm has decreased after telecommuting was introduced

Who can help me with this please

Answers

Answer:

I cant see the full question, what is it ?

Step-by-step explanation:

Find the perimeter and area of the figure​

Answers

Answer:

C.

Step-by-step explanation:

C. is the only answer option with the correct perimeter of 18u

area is correct too

Answer:C

Step-by-step explanation: If you look at the graph it shows that the triangle is 18.u as a perimeter and 20.5 as area.

what is the value of x when h(x) x-3

Answers

Answer:

-1

Step-by-step explanation:

I did it in my review

Answer:
x= -3/h

hope this helps :)

if 25,m+1,35 are arithmetic sequence then find the value of m​

Answers

Answer:

m = 29

Step-by-step explanation:

You are counting by fives.

25, 30, 35

m + 1 = 30

m + 1 - 1 = 30 - 1

m = 29

25, (29 + 1), 35

25, 30, 35

The value of m is equal to 29

What is arithmetic sequence?

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.

We are counting by fives.

m + 1 = 30

Now subtract 1 on both sides;

m + 1 - 1 = 30 - 1

m = 29

Thus substituting the value to find other terms;

25, (29 + 1), 35

The sequence is

25, 30, 35

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What's all equivalent to 7/8

Answers

Answer:

0.875?

Step-by-step explanation:

I just did 7 divided by 8

Answer:

14/16

49/56

Step-by-step explanation:

I looked it up for you!!!

type an (x,y) ordered pair to put a point on this line.​

Answers

Answer:

(-2, 5)

Step-by-step explanation:

The ordered pair (x, y) for the given line can be obtained from the graph as (-4, 1).

What is the equation for a straight line?

A straight line can be written in the form of equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

The graph of the line is given.

In order to find the coordinate of a point do as follows,

Draw a perpendicular line from any point on the line to x-axis.

The intersection of this line with x-axis will give the x-cordinate.

Similarly, find y-coordinate by drawing a perpendicular line to y-axis.

Applying the above procedure, a point is obtained as (-4, 1).

Hence, the ordered pair for the line shown in the graph is (-4, 1).

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Lauren brings brownies to class and gives 3/5 of them to Peter, Wendy, and Michael. If she gave them 21 brownies, how many did she bring to class?

Answers

Answer:

If 3/5 of all the brownies is 21, then 5/3 of 21 is the number of the brownies that Lauren brought in.

That probably sounded super confusing. When multiplying a number by a reciprocal of a fraction (a fraction where the numerator and denominator is reversed), the previous fraction multiplication is reversed.

Multiplying 21 with 5/3 will give us the original number of brownies.

Lauren originally brought 35 brownies.

Step-by-step explanation:

plz mark brainlyest it really helps

Please help and will give brainliest.

Answers

Answer:

The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was

Step-by-step explanation:

The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was

Jaya went shopping for a new phone because of sale. The store was offering a 10% discount. What number should she multiply the prices on the tags by to find the price she would have to pay before tax in one step

Answers

Answer:

10%

Step-by-step explanation:

jaya should multiple the price on the tag by 10%.

for example;suppose the price is 1000. and the discount is 10% so 1000×10\100=900

HOPE IT WILL HELP YOU,MARK ME AS A BRAINLIST

Whoever responds first will get marked Best!
Elizabeth's family pool is 25 feet long, 15 feet wide and 10 feet deep. The pool has to be filled. What is the volume of water they should put in the pool?
Part A Explain the steps you would take to find the volume of the pool.

Part B. What is the volume of the water in the pool?

a. 3750 ft
B.50 ft
c. 3375 ft
d. 3755 ft

Answers

Answer:

Part A:

I would multiply the length, width, and depth of the pool to find the volume of it. That would be how much water can fit inside. 25 ft x 15 ft x 10 ft = 3750 ft

Part B:

a. 3750 ft

2 (a) Simplify.
(i) a6 a2
O pop

Answers

Answer:

a4...................hope this helps

PLEASE HELP ME ITS URGENT ❗❗❗❗❗❗❗❗❗❗❗

Answers

Answer: W is your answer :)

Step-by-step explanation:

Help me 5th grade math sorry if I'm bothering ppl :(

Answers

Answer:

It's C. Ik it bc I'm in 7th and I learned bout it and yw

Step-by-step explanation:

Answer:

C: 3 times the diffrence of 62 and 42

*im in 9th IM NOT SURE THO LOL*

Step-by-step explanation:

Find the measure of 41.
{
839
41
4 1 = [?]
Enter

Answers

<1=97°

Answer:

<1+83=180 co interior angle

<1=180-83=97°

Answer:

solution given:

<1+<83°=180°[co- interior angle]

<1=180°-<83°=97°

<1=97° is your answer

Here are five statements.


For each statement, say whether it is TRUE or FALSE.
The first one has been done for you.

Note: Please make sure you follow the format of the answers, e.g.
2) ....
3) ...

Answers

Answer:

Step-by-step explanation:

2) False.

3) True. It could be 50°-65°-65°.

4) True. It could be 35°-35°-110°.

5) True. It could be 40°-50°-90°.

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