When Joe started his job at the laundromat five years ago, his wage was $6.00 an hour. Today, his wage is $8.50 an hour. If Joe started his job in the base year, and his real wage is the same as when he started, what is the Consumer Price Index (CPI) today

Answers

Answer 1

Answer:

142

Step-by-step explanation:

The computation of the Consumer Price Index (CPI) today is shown below:-

Real Salary today / Real Salary 5 years ago = CPI today ÷ CPI 5 years ago

CPI today ÷ 100 = 8.50 ÷ 6

= 142

Therefore for computing the Consumer Price Index (CPI) today we simply applied the above formula and the same is to be considered


Related Questions

Dan uses the equation g left parenthesis x right parenthesis equals 5 x plus 50 to model the balance of his savings account after saving for x weeks. What is the value and meaning of g left parenthesis 60 right parenthesisblank in the context of the problem?

Answers

The value is 350.

From the question, we have

Dan uses the equation g(x)=5x+50 to model the balance of his savings account after saving for x weeks.

g(x)=5x+50

substituting the value x = 60, we get

g(60)=5*60+50

=300+50

=350

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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Write the equation of the line that has a slope of -2 and goes through the point (4, -3)

Answers

Answer:

y = - 2x + 5

Step-by-step explanation:

m , ( \(x_{1}\) , \(y_{1}\) )

y - \(y_{1}\) = m( x - \(x_{1}\) )

~~~~~~~~~~~

m = - 2 and ( 4 , - 3 )

y - ( - 3 ) = - 2( x - 4 )

y + 3 = - 2x + 8

y = - 2x + 5

Please help me solve this asap if possible​

Please help me solve this asap if possible

Answers

Shaded area = y^2 - 25cm^2
= (y - 5)(y + 5)cm^2

A group of 5 friends bought a bag of grapes to share equally. If the bag of grapes weigh 11.25 pounds, how much would each person share? How many friends could share the grapes if each person's share was 1.25 pounds?

Answers

Answer:

A group of 5 friends bought a bag of grapes to share equally. If the bag of grapes weigh 11.25 pounds, how much would each person share?

2.25lbs per person

How many friends could share the grapes if each person's share was 1.25 pounds?

9 people

Step-by-step explanation:

part 1: 11.25/5=2.25lbs

part 2: 11.25/1.25=9 people

:)

Answer:

Each person would share 2.25 pounds.

Each person's share would be 9 if each share was 1.25

Step-by-step explanation:

Determine the distance between the two coordinates. Round to the nearest TENTH if necessary. (5,-5) and (-2,1)

Answers

Answer:

\(d=9.2\)

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg II

Distance Formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Step-by-step explanation:

Step 1: Define

Point (5, -5)

Point (-2, 1)

Step 2: Find distance d

Substitute:                    \(d = \sqrt{(-2-5)^2+(1-(-5))^2}\)Simplify:                        \(d = \sqrt{(-2-5)^2+(1+5)^2}\)Subtract/Add:               \(d = \sqrt{(-7)^2+(6)^2}\)Evaluate:                      \(d = \sqrt{49+36}\)Add:                              \(d = \sqrt{85}\)Evaluate:                      \(d=9.21954\)

(pic will be provided.) Construct the two-way frequency table. 6th Graders 7th Graders 8th Graders Total Very Unhappy Unhappy 9 6 7 11 How do You Feel About a Longer School Year? Very Happy Neutral Happy 11 36 5 35 24 58 14 18 Total 47 60 191. ​

 (pic will be provided.) Construct the two-way frequency table. 6th Graders 7th Graders 8th Graders Total

Answers

Based on the information in the graph, we can infer that the missing numbers are: 9, 4, 19, 30, 84, 16, 8, 22, and 40.

How to complete the table?

To complete the table correctly we must identify the columns or rows with more data. These will be the easiest to complete. First of all, we must fill in those that already have a number in the total box because we can add the available numbers and later subtract them from the total to identify the missing number.

We can also find the numbers in the total cells by adding all the numbers in a column or row to find this result. Finally, the boxes that are being completed serve as clues to complete the others.

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 (pic will be provided.) Construct the two-way frequency table. 6th Graders 7th Graders 8th Graders Total

The inverse variation xy = 20 relates the speed x in miles per hour to the time y in hours for a person to travel 20 miles. Determine a reasonable domain and range, and then graph the inverse variation. Use the graph to estimate the speed needed in order to travel 20 miles in 8 hours.

Answers

The appropriate domain and the range are x > 0 and y > 0, respectively and the speed is 2.5 miles per hour in order to travel 20 miles in 8 hours.

How to determine the reasonable domain?

The function is given as:

xy = 20

The value of x and y cannot be negative and they cannot be 0.

This means that the domain and the range are x > 0 and y > 0, respectively

The graph of the function

See attachment for the graph of xy = 20

The estimate of the speed

We have:

Distance = 20 miles

Time = 8 hours

The speed is calculated as;

Speed = Distance/Time

This gives

Speed = 20/8

Evaluate

Speed = 2.5 miles per hour

Hence, the speed is 2.5 miles per hour in order to travel 20 miles in 8 hours.

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The inverse variation xy = 20 relates the speed x in miles per hour to the time y in hours for a person

A recipe calls for using 3/4 cup of brown sugar for each 2/3 cup of white sugar. How many cups of white sugar are used per cup of brown sugar *I will give brainlist

Answers

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

pls help pls help pls help

pls help pls help pls help

Answers

Answer:

>

Step-by-step explanation:

> is the answer.

If this helped, please mark me as brainliest

Does 5 2/3 equal 34/6?

Answers

Answer: yes, 34/6 converted into a mixed number is 5 2/3

Hope this helps..... Stay safe and have a Merry Christmas!!!!!!!!!!!! :D

I just wish i could get at least 25 friends by Christmas because my account got deleted yesterday..

The statement say a contractor contracted to supply water to three Altein ring road has decided to investigate the financial impact that the monthly installments, salaries and the price of fuel had to his business per month. The contractor will use one of his water tankers to conduct an investigation. The contractor was supplying water to the Altien village 5 km ring road construction site where the road had to be paved using the paving bricks. The paving of the road has started in January 2022 and ran for 10 months.


Questions

1.1 write down the loan term of the truck in years
1.2 determine the monthly repayments that were made towards the water tanker including the insurance cover amount
1.3 the contractor had already made half of the monthly installments towards the truck in June 2022. Determine the total amount of money that was owed to the finance excluding the insurance in June 2022
1.4 give an explanation on the significance of including an insurance cover when a contractor purchases the water tanker

Answers

Therefore , the solution of the given problem of unitary method comes out to be in June 2022, the total amount due to the finance, exclusive of the insurance, was roughly $47,259.52.

What is an unitary method?

The task can be completed by multiplying the data gathered using this type of nanosection along with two variable individuals who utilized the unilateral strategy. In essence, this signifies that perhaps the designated entity is defined or the colour of both mass production is skipped whenever a wanted item occurs. For forty pens, a variable charge of Inr ($1.01) could have been required.

Here,

1.1. The statement omits details about the truck's loan term. Therefore, without more details, we are unable to respond to this query.

1.2. Assume that the truck's loan period is n years and that the contractor borrowed P dollars at an annual interest rate of r to buy the water tanker.

M is calculated as (r * P * (1 + r)n) / ((1 + r)n - 1)

5 years + 60 months Equals n

r = 5% / 12 = 0.004166667 (weekly interest rate) (monthly interest rate)

P = $100,000

=> M = (0.004166667 * $100,000 * (1 + 0.004166667)^60) / ((1 + 0.004166667)^60 - 1)

≈> $1,870.24

As a result, the total monthly payments made for the water tanker, including the insurance protection, came to about $1,870.24.

1.3

(Total Amount Borrowed - Amount Paid) / 2

=>  ($100,000 - $1,870.24 * 6) / 2 = $47,259.52 is the sum that is owed.

Therefore, in June 2022, the total amount due to the finance, exclusive of the insurance, was roughly $47,259.52.

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I’m trying to do this equation but don’t know where the 2 came from when you square it. Can somebody explain where the 2x come from? The 2x on the right side

Im trying to do this equation but dont know where the 2 came from when you square it. Can somebody explain

Answers

okay so at the bottom it says square both sides so you have to square (x+1). when you do that you're basically just doing (x+1)(x+1) and you just use the foil method and end up with x^2 + 2x + 1

Line A has a y-intercept of 5 and the equation of B is y=3/5 x -9. Line A is perpendicular to Line B. Determine the equation of line A in slope-intercept form. (Leave fractions in the answer please)

Answers

Answer:

it is 18

Step-by-step explanation:

you can see this so 21x12 is 18 so

Look how many points u get on this.
What is the mean of this data set?
12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18

A 13.50

B 14.00

C 14.75

D 15.75

Answers

Answer:

C. 14.75

Step-by-step explanation:

To find mean is fairly easy. All you have to do is add all of the numbers in your data set, and then divide it by the total amount of numbers in the set. So:

12 + 17 + 16 + 10 + 20 + 13 + 14 +14 + 12 + 12 + 19 + 18

Total numbers in the set: 12

All numbers added together: 177

177 / 12 = 14.75

brainliest is always epic :)

Answer:

Step-by-step explanation:

1. First add all the listed numbers which equals to 177

2. Divide 177 by the amount of number given above so there are

12 numbers

So 177÷12= 14.75

Answer is c

Select all the equations where x = 3 is a solution.


Choose 2 answers:


А )x +4= 7

B) = 3 9 5 - 2 = 2

D) 8x = 32

E )X – 10 = 7​

Answers

Answer:

Step-by-step explanation:

X +4=

8x=32

What is the product of 2x3 +9 and x3 +7?

Answers

The product of the expression is 2x⁶ + 23x³ + 63

How to determine the product

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

BracketAdditionMultiplicationDivisionParenthesesSubtraction

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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Which of the following numbers is rational?

-9

0
all of the above

answer quick for brainllest

Answers

-9 is irrational number

Answer:

all of the above

Step-by-step explanation:

answer please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

answer please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

We can simplify the expression as follows:

(6^2-3^3)/7 = (36-27)/7 = 9/7

Therefore, the simplified expression is 9/7.

Answer:

9/7

explain:

(36-27) 7

9/7

A cherry tree is 6 feet tall. A palm tree is 3 times as tall as the cherry tree. Which
model represents this problem?

Answers

Answer:

The one that is 18ft tall

Step-by-step explanation:

6 times 3 is 18

help!!!!!!!!!!!!!!!!!!!

help!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Six planes are shown

Step-by-step explanation:

Hope that helps

Answer:

5

Step-by-step explanation:

5 sides = 5 plains

If you fit a slope and intercept at the same time, then their errors will be correlated. True or False?

Answers

The given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.

What is the intercept?

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.

This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y.

These points satisfy x = 0 because of this.

The errors of a slope and an intercept will be connected if you fit them simultaneously.

By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept.

Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.

Therefore, the given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.

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Which describes an isometric transformation?

Answers

Any combination of translations, rotations, and reflections that preserves size and shape can be considered an isometric transformation.

Define  isometric transformation

An isometric transformation is a type of transformation in which the shape and size of a figure are preserved.

This means that the image of the figure after the transformation is congruent to the original figure, meaning they have the same size and shape. In other words, an isometric transformation preserves the distance between any two points in the figure.

Examples of isometric transformations include:

Translation: Moving the figure without changing its size or shape. This can be done by sliding the figure horizontally, vertically, or both.Rotation: Turning the figure around a fixed point by a certain angle. The size and shape of the figure remain the same after the rotation.Reflection: Flipping the figure across a line of symmetry. The size and shape of the figure remain the same after the reflection.

In general, any combination of translations, rotations, and reflections that preserves size and shape can be considered an isometric transformation.

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For which inequalities is 7 a solution?

For which inequalities is 7 a solution?

Answers

The answer is c + 5 < 12

E) Fill in "AT", "IN" or "ON":
My birthday is ... on ..... the 30th of July. Last year I had a great day, I got up ..Olur
8 o'clock ........ the morning and tidied the house. Then
the afternoon I went into
town with my friend to buy food for the party. The party started
.....7 o'clock ....
the evening and didn't stop until very late ......... night!
the 31" of July I was
very tired, so I went to bed early ............. the evening.
F) Fill in the spaces in the invitation with "IN", "ON" or "AT”,
I'm going to have a party! I hope you can come!!
It's going to start ......... 5 o'clock ........ the afternoon
........... the secong Saturday ......... August. We're
going to have it in Tom's house on Wilton Avenue.
There's a big garden and we're going to have the party in
the garden
Did you know that my birthday is ........ the eighth? But
as you can see, the party is going to be .......... the tenth.
Why? Parties are better .......... the weekend!
BIRTHDAY PRESENTS WELCOME ANYDAY!!!!

Answers

Answer:

E) Fill in "AT", "IN" or "ON":

My birthday is ... on ..... the 30th of July. Last year I had a great day, I got up ..Olur 8 o'clock ..at...... the morning and tidied the house. Thenthe afternoon I went into .town with my friend to buy food for the party. The party started.at....7 o'clock ..in..the evening and didn't stop until very late ....at..... night!the 31" of July I wasvery tired, so I went to bed early ....in......... the evening.

F) Fill in the spaces in the invitation with "IN", "ON" or "AT”,

I'm going to have a party! I hope you can come!!

It's going to start ...at...... 5 o'clock .in....... the afternoon.....on...... the secong Saturday .at........ August. We'regoing to have it in Tom's house on Wilton Avenue.There's a big garden and we're going to have the party inthe garden. Did you know that my birthday is ....on.... the eighth? Butas you can see, the party is going to be ....at...... the tenth.Why? Parties are better ...at....... the weekend!

BIRTHDAY PRESENTS WELCOME ANYDAY!!!!

Step-by-step explanation:

I have written answer is bold .

please mark me brainliest

What is the result of adding these two equations?
4x-4y=-2
-9x-4y=-3

Answers

(4x-4y) + (-9x-4y) = -2 + -3
gather like terms :
4x-9x-4y-4y = -5
-5x-8y = -5

I need help. What does n equal.
\(5n^{2}=7n-2\)

Answers

Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

\(\pmb{ n= \dfrac{2}{5} \:or~ n=1}\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

an engineer has designed a valve that will regulate water pressure on an automobile engine. the valve was tested on 150 engines and the mean pressure was 4.0 pounds/square inch (psi). assume the population standard deviation is 0.7 . the engineer designed the valve such that it would produce a mean pressure of 4.1 psi. it is believed that the valve does not perform to the specifications. a level of significance of 0.05 will be used. find the value of the test statistic. round your answer to two decimal places.

Answers

The value of the test statistic is approximately -3.02. this value represents how far the sample mean is from the hypothesized population mean in terms of the standard error of the mean.

The test statistic can be calculated using the formula: t = (X - μ) / (s / √n)

where X is the sample mean (4.0 psi), μ is the hypothesized population mean (4.1 psi), s is the population standard deviation (0.7 psi), and n is the sample size (150). Plugging in the values, we get: t = (4.0 - 4.1) / (0.7 / √150) ≈ -3.02

Therefore, the value of the test statistic is approximately -3.02. This value represents how far the sample mean is from the hypothesized population mean in terms of the standard error of the mean.

A negative value indicates that the sample mean is lower than the hypothesized population mean. A value of -3.02 is quite far from zero, suggesting that the engineer's claim that the valve performs to specifications may be false.

The next step would be to determine the corresponding p-value and compare it to the level of significance to make a decision about rejecting or failing to reject the null hypothesis.

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Multiply. ( 4x+3)(4x-3)

Answers

Answer:

\(16^{2} - 9\)

Step-by-step explanation:

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

Step 1: Multiply \(4x\) to \((4x - 3)\), you get, \(16x^2 -12x\)

Step 2: Multiply \(3\) to \((4x - 3)\), you get, \(12x - 9\)

\(16x^2 - 12x +12x - 9\)

Step 3: add or subtract the numbers with the same variables together

\(16x^2 - 9\) is your final answer

The expression simplified after the multiplication is 16x² - 9.

What is an algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression. The multiplication of (a+b) and (a-b) is given by:

(a+b)(a-b) = a² - b².

The given expression is (4x + 3)(4x-3).

Simplify the expression:
(4x + 3)(4x-3)

= 16x² - 9

Hence, the expression simplified after the multiplication is 16x² - 9.

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PLEASE HELP. !!!!!!!!!!

PLEASE HELP. !!!!!!!!!!

Answers

Answer:

the last one bottom right

Step-by-step explanation:

well, did it in my head, but the idea is to calculate it out

(x-8)*(x-8)=50

is just

x²-16x+64=50

to get the 64 down to just 5, we need to subtract 59, on both sides, leaving us with -9 on the righthand side

the answer was is the last one
hope that helps

This diagram illustrates an unfolded part of a greeting card,
What is its area ?

This diagram illustrates an unfolded part of a greeting card,What is its area ?

Answers

the answer is 625 ......
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Determine the derivative of the curve with equation y = 4x a) 42x In4 b) 4x In2 c) 4* ln2 If h(x) = 2xex, then f'(-1) = ? a) 0 b) 2e c) 2+2e-1 d) 2.42x In4 e) 2e-2 For the period 1971-2001, the number of y films produced in the world can be modeled by the function y=10x294x+3900 where x is the number of years since 1971. After how many years were 4200 films produced? Round your answer to the nearest tenth of a year.11.9 years8.7 years10.6 years2.5 years How many lines of symmetry does the shape have? true or false: photographers who document war and revolution provide us with unbiased images that depict events as they truly happened. 5y+12>62 solve for y For a continuous random variable x, the probability density function f(x) represents. Order these numbers from least to greatest.6.12, 6.1021, 6.2, 6.109 Right triangle LMN has vertices L(7, 3), M(7, 8), andN(10, 8). The triangle is translated on the coordinate plane so the coordinates of L are (1, 8). Suppose you are considering an investment that makes payments of $750 each year, for the next eight years. If you require a 7% return, what would you be willing to pay today? 1. P&L is a profit-maximizing shirt-manufacturing firm. The firm at a price of $20 each. P & L can hire all of the workers it wants . hirt-manufacturing firm. The firm can sell all the shirts it can produce to retailers can hire all of the workers it wants at a market wage of $120 per day per worker. The table below shows the firm's short-run production functionNumber of Workers Number of Shirts per Day 0 01 10 2 253 454 605 726 807 858 82(a) In what kind of market structure does this firm sell its output? How can you tell? (b) In what kind of market structure does this firm hire its workers? How can you tell? (c) Calculate the marginal revenue product of the third worker. Show your work. (d) How many workers should the firm hire to maximize profit? Explain. what differentiates between static and dynamic charge Why are most of the worlds deserts located between latitudes 10n to 30n and 10s to 30s. a major criticism of the dsm is the lack of clarity regarding differential categorization to reflect the distinction between major and less severe symptom states. what has been proposed to change this? Label colonies and settler colonies of the following states: Britain, France, Germany, Italy, Spain, Portugal, Belgium, Japan. Also include major resources that were gained from each colony. Next, label places that experienced economic imperialism (werent colonized but were controlled economically by other countries). Finally, label and describe at least 4 examples of anti-imperial resistance (one from India, one from China, one from somewhere in Africa, and one from the Americas). Hint: use your objectives to help you. To achieve mastery of this lesson, make sure you develop responses to the following questions: How are exponential functions graphed? How do you compare exponential functions? How do you transform exponential functions? help Jack was out at a restaurant for dinner when the bill came. His dinner came to $14. He wanted to leave a 31% tip. How much was his meal plus the tip, before tax, in dollars and cents? A curve of radius 71 m is banked for a design speed of 88 km/h If the coetticient of static friction is 0.32. .wet pavementh, at what range of speeds can a car safely make the curve? |Hint Consiser the ctirection of the friction force when the car goes foo siow or too fast] Express your answers using two significant fgures. Enter your answers numenically separated by a conma. Consider the 20 points of a 45 grid. You randomly choose two points from the 20 points. What is the probability that the two points belong to a horizontal or vertical line? what is $2,609.75 in expanded notation Please hurry will give brainliestWrite the inequality in slope intercept form.2x-3y>9