1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
grin007 [14]
3 years ago
15

In 1983, a can of house paint cost $16.35. In 2000, a can of house paint cost $28.94, and in 2005, a can of house paint cost $32

.54. What is the difference in CPI between 2000 and 2005? a. 12 b. 22 c. 45 d. 77
Mathematics
2 answers:
Vlada [557]3 years ago
6 0

Answer:

22

Step-by-step explanation:

Andrews [41]3 years ago
4 0

Answer:

Option B is correct.

Step-by-step explanation:

CPI stands for Consumer Price index and is used to find the inflation.

The formula used to find CPI is

CPI = (Price of baskets of goods in one year/ Price of baskets of goods in base year) * 100

Here the base year is the starting year, in our case it is 1983 and price of can of paint is $16.35

So, CPI in 2000

Using the above formula and putting the values

CPI in 2000 = (28.94 / 16.35) * 100

CPI in 2000 = 177

CPI in 2005

Using the above formula and putting the values

CPI in 2005 = (32.54 / 16.35) * 100

CPI in 2005 = 199

Difference in CPI between 2000 and 2005 = CPI in 2005  - CPI in 2000

Difference in CPI between 2000 and 2005 = 199 - 177

Difference in CPI between 2000 and 2005 = 22

So, Option B is correct.

You might be interested in
A plastic sun visor allows light to pass through but reduces the intensity of the light. the intensity is reduced by 5% if the p
irinina [24]

Answer: The equation is f(x) = 0.95^{x};

The piece of plastic has to have 10mm of thickness.

Step-by-step explanation: It is known that with 1 mm of thickness, 5% of the intensity is reduced. So, 95% of the light is transmitted.

For each milimetre added, "more" 95% of light is transmitted.

For example, if another milimetre of plastic is added, another 0.95 of light is transmitted:

0.95.0.95 = 0.9025 of light reach the visor

So, the model that relate thickness of plastic and intensity of light is:

f(x) = 0.95^{x}

in which:

f(x) is the intensity of light;

x is thickness in mm;

Using the equation, the thickness necessary to reduce intensity to 60% is:

f(x) = 0.95^{x}

0.6 = 0.95^{x}

log 0.6 = log 0.95^{x}

x. log (0.95) = log (0.6)

x = \frac{log 0.6}{log 0.95}

x = 9.95

x ≈ 10

The thickness necessary to reduce intensity of light to 60% is 10mm.

6 0
3 years ago
Read 2 more answers
How does the definition of the prefixes mono-,bi-, and tri- help when naming polynomials
Leviafan [203]

Answer:

They let you know the number of numbers there are/will be.

Step-by-step explanation:

Mono, being one, means there will only be one number is the equation.

Bi, being two, means there will be two numbers in the equation.

and tri, being three, means there are three numbers in the equation.

8 0
3 years ago
Read 2 more answers
Help with 21 would be much appreciated.
umka2103 [35]

Answer:

\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

\dfrac{AD}{CD}=\dfrac{CD}{DB}

We have

AD=14-8=6\\CD=y\\DB=8

Substitute:

\dfrac{6}{y}=\dfrac{y}{8}         <em>cross multiply</em>

y^2=(6)(8)

y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}

For x use the Pythagorean theorem:

x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}

3 0
3 years ago
Ana’s age is 8 years less than 4 times her sister’s age.
allsm [11]
(5•4)-8 the answer is 12 because 5 times 4 is 20. Then 20 minus 8 is 12.
6 0
3 years ago
Please i need help with the answers this is due later on today
Nutka1998 [239]

Answer:

384, 216, 290, 192, 384

1446, 1 roll

Step-by-step explanation:

For rectangular boxes, calculate the sum of each side, then multiply it by two.

Box 1: 2(18 x 5) + 2(18 x 4) + 2(5 x 4) = 364

Box 3: 2(11 x 8) + 2(8 x 3) + 2(3 x 11) = 290

Box 5 is a cube (all sides equal), so you can find 1 side's area and multiply it by 6.

Box 5: 6(8 x 8) = 384

For triangular boxes, calculate the edges, then find the triangular area using area = 0.5(base x height).

Box 2: (15 x 3) + (9 x 3) + (12 x 3) + 2(0.5)(9 x 12) = 216

Box 4: 2(13 x 2) + (10 x 2) + 2(0.5)(10 x 12) = 192

Total: 364 + 290 + 384 + 216 + 192 = 1446

Rolls of wrapping paper:

Area of 1 roll = 30 x 60 = 1800

Since 1446 is less than 1800, you only need 1 roll of wrapping paper.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Hanks pickup can travel 52 miles on 4 gallons of gas. How many gallons will habh pickup need to travel 26 miles?
    9·1 answer
  • In simplest radical form, what are the solutions to the quadratic equation 0 = –3x2 – 4x + 5
    5·1 answer
  • What is the answer to this equation, or how do I solve it?
    15·1 answer
  • As of a certain​ date, there had been a total of 13,974 performances of two shows on​ Broadway, with 2480 more performances of S
    12·1 answer
  • The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?
    5·2 answers
  • A repair company’s charge for repairing a certain type of copy machine fits the model y = 47.38 + 0.617x where y is the number o
    5·1 answer
  • Determine which of the two acute angles has a cosine of 4/5.
    12·1 answer
  • Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabyt
    14·1 answer
  • This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this
    10·1 answer
  • Construct the indicated confidence interval for the population mean using the​ t-distribution. Assume the population is normally
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!