The rate of inflation from last year to this year is calculated by finding the 'change in CPI' which is then divided by the 'old CPI' and multiplied by 100 to convert it into percentage. The change in CPI is the new CPI minus the old CPI. By following the steps, we find that the rate of inflation is 10%.
Explanation:To calculate the rate of inflation, we first need to determine the 'change in CPI', which will then be divided by the 'old CPI'. The formula is:
(New CPI - Old CPI) / Old CPI x 100%
The 'change in CPI' is the new CPI (this year's CPI) minus the old CPI (last year's CPI). This will be:
121 (this year's CPI) - 110 (last year's CPI) = 11
Now, we'll divide 'change in CPI' by old CPI, which is:
11 (change in CPI) / 110 (old CPI) = 0.1
To convert the value into percentage, we should multiply it by 100:
0.1 x 100 = 10
So, this year's rate of inflation is 10%.
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A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of π.)
A.452.16 cm3
B.840.54 cm3
C.1,055.04 cm3
D.1,456.96 cm3
One day, after shopping at a department store, Lenny discovered that he only havd $13 left in his wallet. He had entered the store with $81 in his wallet. Which of the equations below could be used to fined out how much money Lenny spent(x)? A. 81-x=13. B.81+13=x. C.x+81=13. D.x-81=13
Substitute the values of x and y into the expression -3x 2 + 2y 2 + 5xy - 2y + 5x 2 - 3y 2. Match that value to one of the numbers.
1. x = 2, y = -1 A.-1
2. x = 0, y = 2.5 B.14
3. x = -1, y = -3 C.-11.25
4. x = 0.5, y = -1/10 D.9.17
5. x =3/3 , y =2/5 E.0.44
6. x = √2, y = √2 F. 1.665
please
work out -7--9
Which statement explains why the perimeter of the rectangle can be found using l + w + l + w or 2l + 2w?
how do you Factor this problem 2x^3+4x^2-4x
a rectangle has a perimeter,p, length,l, and width,w. which of the following represents l in terms of p and w?
To find the length (l) of a rectangle in terms of the perimeter (p) and width (w), use the formula l = (p - 2w) / 2.
Explanation:To find the length (l) of a rectangle in terms of the perimeter (p) and width (w), we can use the formula for the perimeter of a rectangle, which is given by:
p = 2l + 2w
Now, solve the equation for l by subtracting 2w from both sides:
p - 2w = 2l
Finally, divide both sides by 2:
l = (p - 2w) / 2
a driveway is 40 yards long. About how many meters long is it
Answer:
Step-by-step explanation:
using long division to divide 3x^4-2x^3+x-1 by x^2-x-2
21.12 is 25.6% of what?
What are the 3 numbers in Marlene's puzzle if the quotient of a & c is 8, the quotient of a & b is -16, the quotient of b & c is -0.5, the product of a & c is 2, the product of a & b is -1,?
I need help. Suppose angle ABC equals 110. What is angle DBC? Would it be 70?
A popular brand of running shoes costs a local store $68 for each pair. If the store sells the shoes for $119, what is the percent of increase for the price?
Answer:
51/68 * 100
.75 * 100
75%
.
Step-by-step explanation:
That is, there was a 75% increase in the price
there was a 75% increase in the price.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
here, given that,
A popular brand of running shoes costs a local store $68 for each pair.
If the store sells the shoes for $119
i.e. increase = $51
so, the percent of increase for the price
=51/68 * 100
=.75 * 100
=75%
That is, there was a 75% increase in the price
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Solve the formula for the specified variable
V=BMU for B
My car averages 35 miles to a gallon. when the price of gasoline is $3.09per gallon, what was the cost per mile
What is 0.68 written as a slimplifed fraction
How can I rename 82 thousands?
82 thousands can be renamed as 8 ten thousands and 2 thousands, or as 0.082 hundred thousands in the decimal system.
Explanation:Renaming 82 thousands means expressing this amount in another unit of place value. In the standard decimal system, the next unit larger than thousands is ten thousands. The digit in the ten thousands place represents the number of ten thousands in that number. If you have 82 thousands, this equals 8 ten thousands and 2 thousands, because 82 divided by 10 equals 8 with a remainder of 2. Therefore, 82 thousands can be renamed as 8 ten thousands and 2 thousands. Similarly, 82 thousands can also be expressed as 0.082 hundred thousands, as 82 divided by 1000 equals 0.082.
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simplify 6/5 plus 10.35
Which is a correct classification for the triangle? equiangular triangle obtuse triangle acute triangle right triangle Triangle with two angles labeled 22 degrees and 63 degrees
Answer:
The triangle is obtuse triangle.
Step-by-step explanation:
Given two angles of triangle labelled as 22° and 63°. we have to classify the triangle.
Let the third angle be x°
By angle sum property of triangle,
22°+63°+x=180°
⇒ 85°+x=180° ⇒ x=95°
An equiangular triangle is a triangle where all interior angles are equal.
An obtuse triangle is a triangle in which one of the angles is obtuse angle.
An acute triangle is a triangle have all three angles acute.
For right triangle one angle must be of 90°.
Hence, one angle of the triangle is 95° which is obtuse i.e greater than 90°
∴ Given triangle is obtuse.
What is the scale factor of 3,6 and 4.5, 9
The scale factor between the numbers (3, 6) and (4.5, 9) is 2, since the second number in each pair is twice as large as the first number.
Explanation:The scale factor is a ratio that describes how to enlarge or reduce the dimensions of an object to create a new object that is similar to the original. To figure out the scale factor between two similar figures, we calculate the ratio of any two corresponding lengths in the figures.
As per the student's question:
For the pair of numbers (3, 6), the scale factor can be calculated by dividing 6 by 3, which gives us a scale factor of 2.For the pair of numbers (4.5, 9), dividing 9 by 4.5 gives us a scale factor of 2 as well.In each case, the corresponding lengths in the second object are twice those in the first, meaning you can multiply the dimensions of the first figure by 2 to get the dimensions of the second figure.
You have 120 pieces of fabric to make a blanket. Each piece is a square with a side length of 6 inches. You can use as many pieces as possible to create a square blanket.
What is the area of the blanket?
How many pieces of fabric are left over?
How many more pieces of Gabriel would you need to increase the size of the blanket?
Productive use of machinery on a farm made it possible to decrease the number of tractors by 12 how many tractors does the farm have now if it used to have 1.5 times more
Audryn left a $12 tip on a $68.73 restaurant bill. What percent tip did she leave? Round to the nearest tenth of a percent.
Select the correct numeral form of this number written in scientific notation. 5.0 × 10^10 0.000 000 000 5 5,000,000,000 50,000,000,000 500,000,000,000
Answer:
50,000,000,000.
Step-by-step explanation:
It wouldn't be 5,000,000,000 or 500,000,000,000 or 0.000 000 000 5.
Tasha has 12 minutes. She wants to jump rope for 8 minutes and play tag for 5 minutes will tasha have enough time
Tasha does not have enough time to play both the games.
Given that, Tasha has 12 minutes. She wants to jump rope for 8 minutes and play tag for 5 minutes.
What is comparison of numbers?Comparing numbers in math is defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to their values.
Now, number of minutes Tasha wants to jump the rope = 8 minutes and play tag = 5 minutes
So, total time = 8+5 =13 minutes
Here, 12 minutes < 13 minutes
Therefore, Tasha does not have enough time to play both the games.
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HELP ASAP, WILL GIVE BRAINLIEST:
Given two angles that measure 50 degrees and 80 degrees and a side that measures 4 feet, how many triangles, if any, can be constructed?
please help me solve the problem 3 \sqrt[5] 3\sqrt[100]
30000 is blank times as much as 30
Equivalent decimal for 67/100
What is the mean and median for the length of 20.3 12.5 7.6 13.9 9.2 21.7 7.6 17.5 15.6 14.1
Mean = 14
and Median = 14
Step-by-step explanation:We are given a data set as:
20.3 12.5 7.6 13.9 9.2 21.7 7.6 17.5 15.6 14.1
there are a total of 10 data points.
Now, the mean of these data points is the average of the data set.
i.e.
[tex]\text{Mean}=\dfrac{\text{Sum of data points}}{\text{Number of data points}}[/tex]
i.e.
[tex]\text{Mean}=\dfrac{20.3+12.5+7.6+13.9+9.2+21.7+7.6+17.5+15.6+14.1}{10}\\\\\text{Mean}=\dfrac{140}{10}\\\\\text{Mean}=14[/tex]
We know that median is the central tendency of the data and it always exist in the middle of the data set.
Firstly we arrange the data points in the increasing order as follows:
7.6 7.6 9.2 12.5 13.9 14.1 15.6 17.5 20.3 21.7
Now, we know that the median of the data exist in between 13.9 and 14.1
i.e.
[tex]\text{Median}=\dfrac{13.9+14.1}{2}\\\\\text{Median}=\dfrac{28}{2}\\\\\text{Median}=14[/tex]