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Lesechka [4]
2 years ago
12

The Consumer Price Index​ (CPI) is a measure of the average change in price over time from a designated reference​ period, at wh

ich it equals 100. The index is based on prices of basic consumer goods and services. The table provided lists the CPI for several years from 1960 to 2012. If the price change in cars parallels the change in the​ CPI, what would a car sell for​ (to the nearest​ dollar) in 2012 if a comparable model sold for ​$13,000 in​ 1999?
Mathematics
1 answer:
Gnesinka [82]2 years ago
3 0

The car sell for​ in 2012 if a comparable model sold for ​$13,000 in​ 1999 at $19023.58

<h3>What is CPI?</h3>

The Consumer Price Index (CPI) is a measure of the average change overtime in the prices paid by urban consumers for a market basket of consumer goods and services.

Given:

model sold for ​$13,000 in​ 1999

So,

(13000*229.6)/156.9

=2984800/156.9

= 19023.58

Hence, the car would sell at $19023.58.

Learn more about CPI here:

brainly.com/question/26682248

#SPJ1

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Solving a percent mixture problem using a linear equationSamantha vEspelTwo factory plants are making TV panels. Yesterday, Plan
Alborosie

ANSWER

Number of panels produced by plant B: 20000

EXPLANATION

First we have to name the variables. We're looking for the number of panels produced by plant B and also we don't know the number of panels produced by plant A.

Let x be the number of panels produced by plant A and y the number of panels produced by plant B.

We know that plant A produced 7000 fewer panels than plant B. This as an equation is:

x=y-7000

To solve this we need to find another equation, because we have two variables.

The other equation is the one with the defective panels. The total number of defective panels produced by both plants is 860, and we know that represents the 2% of produced panels from plant A and 3% of produced panels from plant B. To find the number that represents that percentage we divide the percentage by 100 and multiply by the total amount. For the 2% of plant A this is:

\frac{2}{100}\cdot x=0.02x

And the 3% of plant B is:

\frac{3}{100}\cdot y=0.03y

So the second equation is:

0.02x+0.03y=860

Since we only want to find y, which is the number of panels produced by plant B, we can use the substitution method. Substitute the first equation into the second - in other words, replace x in the second equation by y - 7000:

0.02(y-7000)+0.03y=860

To solve for y, first apply the distributive property of multiplication:

\begin{gathered} 0.02y-0.02\cdot7000+0.03y=860 \\ 0.02y-140+0.03y=860 \end{gathered}

Add like terms:

\begin{gathered} (0.02y+0.03y)-140=860 \\ 0.05y-140=860 \end{gathered}

Add 140 on both sides of the equation:

\begin{gathered} 0.05y-140+140=860+140 \\ 0.05y=1000 \end{gathered}

And divide both sides by 0.05:

\begin{gathered} \frac{0.05y}{0.05}=\frac{1000}{0.05} \\ y=20000 \end{gathered}

This result means that <em>plant B produced 20000 TV panels in total.</em>

7 0
1 year ago
A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessi
Elza [17]

Question:

A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessionary ticket holders.

What is the number of seats occupied by concessionary ticket holders?.

Answer:

60 seats

Step-by-step explanation:

Given

Number of seats = 270

Occupied Seats = 5/9

Concessionary ticket holders = 40% of occupied Seats

Required

The number of seats occupied by concessionary ticket holders

First the number of occupied seat has to be calculated.

Occupied\ Seats = \frac{5}{9} * 270

Occupied\ Seats = \frac{1350}{9}

Occupied\ Seats = 150

Next is to determine the number of seats occupied by concessionary ticket holders.

Number = 40\%\ of\ occupied\ seats

Number = 40\%\ of\ 150

Convert percentage to decimal

Number = 0.4 * 150

Number = 60

<em>Hence, 60 seats were occupied by concessionary ticket holders.</em>

5 0
3 years ago
7.EE.1.1
victus00 [196]

Answer:

-0.55n - 0.05

Step-by-step explanation:

You can start by distributing:

(0.25n - 0.3) - (0.8n - 0.25)

0.25n - 0.3 - 0.8n + 0.25

Then, you can combine like terms(0.25n & -0.8n; -0.3 & 0.25)

-0.55n - 0.05

4 0
3 years ago
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A cube has an edge length of 8 meters. What is its volume, in cubic meters?
dmitriy555 [2]

Answer:

Step-by-step explanation:

8 ^3

Volume of a cube is base times height

l*w*h

A cube is a 3d square meaning all of its dimensions are equal

8*8*8

5 0
3 years ago
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Dave and Stephanie have competing refreshment stand businesses. Dave's profit can be modeled with the polynomial 3c2 + 9c - 100
sweet [91]

Answer

idk

Step-by-step explanation:

WHY T F

ARE THEY USING LETTERS IN MATH

8 0
4 years ago
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