The actual price is 13.6% lower than the expected price.
What is cpi?CPI or Consumer Price Index is a measure of determining retail inflation in an economy, based on price variations in a fixed basket of goods and services, over overtime periods.
Let's suppose the expected price is x.
The percent relation of the actual price of a winter hat to the expected price is given by;
CPI = ( expected price ) : ( price in 1983 ) × 100
219 = ( x : 12.95 ) × 100
Divide both sides by 100.
x : 12.95 = 2.19
x =2.19 × 12.95
x = $28.36 ( expected price )
p = ( 24.50 × 100 ) / 28.36
p= 2450/28.36
p = 86.4 %
100 % - 86.4 % = 13.6 %
Hence, the actual price is 13.6% lower than the expected price.
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Jackie's restaurant bill was $23. 50, and the tax was 8%. Jackie left a 20% tip on the post-tax bill. How much was the tip Jackie left? A) $4. 82 B) $5. 08 C) $6. 58 D) $7. 12
well, the subtotal or pre-tax bill is $23.50, now let's add the 8% tax and
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 23.50}}{\left( \cfrac{8}{100} \right)23.50}\implies 1.88[/tex]
so the post-tax bill is 23.50 + 1.88 = 25.38, and Jackie's tip is 20% of that
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 25.38}}{\left( \cfrac{20}{100} \right)25.38}\implies 5.076\qquad \approx 5.08[/tex]
Can anyone please help me? :)
Answer:
I think it is 20 pi units.
Step-by-step explanation:
Given:
h= 5 units
Base area (its base is a circle. And we know, Area of the circle is pi*r^2 )
So now,
Volume of cylinder= pi*(r)^2 * h
= (pi*r^2) * h (the base area is given as 4 pi, so we substitute it )
= 4pi* 5
= 20 pi units.
Hope it helps........
The perimeter of a rectangle is 48 cm. If the length is 14 cm, find its width
Answer:
10
Step-by-step explanation:
Since a rectangle has 2 sets of congruent sides we can set up the equation:
48=2x+2y
We have our x value/length (14) so we can plug that in to the equation.
48=2(14)+2y
Then we have to simplify
48=28+2y
20=2y
Then simply solve for the y value, which is your width
10=y
In the frog jumping contest, Sam's frog 17.53 meters. Juan's frog jumped 23.8 meters. How much further did Juan's frog jump?
Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 11 questions he thought he got wrong.
It turns out that Colin got 5 questions right that he thought he got wrong.
Colin also got a total score of 34 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores?
Answer:
92.86%
Step-by-step explanation:
Total questions, T = 50.
Colin thought 8 questions were right.
Colin got 5 questions right that he thought he got wrong.
Total score, s = 45.
So, actual number of questions which are wrong are 5.
Score according to him = 50 - 8 = 42.
Therefore, percentage accuracy he had with predicting his scores is 92.86%.
How to do this please help
Write an equation and please explain how to do it
simplify the solution: 9/4x-5/x+11/3=0
Answer:
Solve the rational equation by combining expressions and isolating the variable
x
.
Exact Form:
x
=
−
22
−
2
√
526
27
,
−
22
+
2
√
526
27
Decimal Form:
x
=
0.88405110
…
,
−
2.51368073
…
Step-by-step explanation:
Help pls asap!! No links.
Answer:
Step-by-step explanation:
1. Do what is inside the parantheses
[tex]4^{2} +3+2\\16+3+2 = 21[/tex]
[tex]7^{2} +3(21)[/tex]
2. Simplify both terms
[tex]7^{2} =49\\3(21) = 63\\49+63[/tex]
3. Solve
[tex]49+63 = 112[/tex]
Answer:
the answer is 102
Step-by-step explanation:
follow the pemdas explanation
I will give some brainliest if they answer this
Answer:
Given:
Total horses tested = 140Horses that had Lyme disease = 42Horses that had arthritis = 112Let x = number of horses that had BOTH Lyme disease and arthritis.
⇒ (112 - x) + (42 - x) + x = 140
⇒ 154 - x = 140
⇒ x = 14
Therefore, place 14 in the middle overlapping area.
To find the number to place in the left section: 42 - 14 = 28
To find the number to place in the right section: 112 - 14 = 98
Jill invested $500 in an account with a compound interest rate of 6%. cheryl invests $600 in an account with a compound interest rate of 4%.find out in how many years each doubles her money. using the rule of 72, t = startfraction 72 over r endfraction, what is the difference in the number of years to double their money?
Jill and Cheryl took 12 years and 18 years, respectively, to double their money.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
Jill invested $500 in an account with a compound interest rate of 6%.
Cheryl invests $600 in an account with a compound interest rate of 4%.
The number of years each doubles their money. Using the relation of 72.
[tex]\rm t = \dfrac{72}{r}[/tex]
where r is the interest rate and t be the time
The time for the Jill will be
[tex]\rm t = \dfrac{72}{6}\\\\t = 12\\[/tex]
The time for the Cheryl will be
[tex]\rm t = \dfrac{72}{4}\\\\t = 18\\[/tex]
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Which of these represents an individual form of life such as an animal, plant, or single-celled life form?
Organ
Organism
Organ system
Tissue
Answer:
organism
Step-by-step explanation:
all the other anwsers are what is inside a organism
please help me i don’t know how to do this my teacher didn’t explain it well
Answer:
see below
Step-by-step explanation:
It's sort of hard to draw a rectangle digitally but the area of it would be15 x (12+2) = 210 square feet
For the top left rectangle 3 x 4 feet = 12 square feetFor the top right corner triangle area of a triangle is half the base multiplied by the perpendicular height so 2(2/2)=2 square feetHere are my workings for the area of the shaded region 210-(8x4)-12-2=164 square feetIf the cost per square foot is $5.40 then 5.4 x 164 = $885.60 for the whole kitchen1. We know if just one dimension of a 3-D figure is 4 times longer, the volume is 4 times longer. If all three dimensions change to be 4 times longer, how many times larger is the volume?
Using proportions, it is found that the volume is 64 times larger than the volume of the original figure.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, each of the 3 dimensions will be four times greater, hence, the change in the volume will be given by:
V = 4³ = 4 x 4 x 4 = 64.
The volume is 64 times larger than the volume of the original figure.
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The function g(x) = 10x2 – 100x 213 written in vertex form is g(x) = 10(x – 5)2 – 37. which statements are true about g(x)? select three options. the axis of symmetry is the line x = –5. the vertex of the graph is (5, –37). the parabola has a minimum. the parabola opens up. the value of a, when the equation is written in vertex form, is negative.
The vertex of the function of g(x) is (5, -37).
What is the vertex form of the parabola?The formula for the vertex form of a parabola is f(x) = a (x - h) 2 + k where: a = vertical stretch or shrink of the parabola and (h, k) are the (x, y) coordinates of the vertex of the parabola.
The vertex form of the parabola is given by;
[tex]\rm g(x) = 10x^2-100x+213\\\\g(x)=10(x-5)^2-37[/tex]
On comparison with the standard equation of parabola the vertex of the parabola are;
h = 5 and K = -37
Hence, the vertex of the function of g(x) is (5, -37).
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Answer:
---> The vertex of the graph is (5, –37).
---> The parabola has a minimum.
---> The parabola opens up.
Step-by-step explanation:
IT'S CORRECT ON PRE-TEST / ON TEST
The eggs produced at Jen's Hen Farm and Rick's Chick Farm are normally distributed. The eggs produced at Jen's Hen Farm have a mean weight of 2. 11 ounces and a standard deviation of 0. 08 ounce. The eggs produced at Rick's Chick Farm have a mean weight of 2. 15 ounces and a standard deviation of 0. 07 ounce. Each farm produces a total of 100, 00 eggs per month
The eggs are illustrations of normal distributions, and Jen's egg is more likely to be classified as large egg
Who is more likely to select an egg classified as large?The given parameters are:
Jen's Hen Farm
Mean, μ = 2.11Standard deviation, σ = 0.08Rick's Chick Farm
Mean, μ = 2.15Standard deviation, σ = 0.07The range of the egg distribution in both samples is calculated using μ ± σ
For Jen, we have:
μ ± σ = 2.11 ± 0.08
Expand
μ ± σ = (2.11 - 0.08, 2.11 + 0.08)
This gives
μ ± σ = (2.03, 2.19)
For Rick, we have:
μ ± σ = 2.15 ± 0.07
Expand
μ ± σ = (2.15 - 0.07, 2.15 + 0.07)
This gives
μ ± σ = (2.08, 2.22)
So, we have:
Jen = (2.03, 2.19): Range = 2.19 - 2.03 = 0.16
Rick = (2.08, 2.22): Range = 2.22 - 2.08 = 0.14
Eggs classified as large have the weight 2.0 < m ≤ 2.25
0.16 is greater than 0.14.
Hence, Jen's egg is more likely to be classified as large egg
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what is the volume of the rectangular prism?
Answer:
96
Step-by-step explanation:
L x W x H
8 x 4 x 3 = 96
U
S
V
Y
4x0
T
W
60°
.
Z
X
Find m2 svw.
mZSVW =
Answer:
Answer is 72°. Hope it helps.....
Which inequalities are true? Select the four correct answers.
O<
0 V8
OVE <3
V> 7
口<2
O /> 8
01
Step-by-step explanation:
Check the attached photo out
help fast!! (no links please.)
Answer:
C) 3.
Step-by-step explanation:
(3^2 + 2^2) - 2(3^2 - 2^2)
= (9 + 4) - 2(5)
= 13 = 10
= 3.
Answer:
C) 3
Step-by-step explanation:
When finding the value for this, we would simply by plugging in the values for the given variables and simplify the equation.
( c^2 + d^2 ) - 2 ( c^2 - d^2 )
( 3^2 + 2^2 ) - 2 ( 3^2 - 2^2 )
( 9 + 4 ) - 2 ( 9 - 4 )
( 13 ) - 2 ( 5 )
( 13 ) - 10
3
What is the equation of the line that is perpendicular to
the given line and passes through the point (3, 0)?
Answer:
y=-0.6x+1.8
Step-by-step explanation:
Since the line is perpendicular to that line, it has the same slope. So, the slope is -3/5. Also, it passes through the point 3, 0. So, y=-3/5x + b. To find the y intercept, lets solve the equation with the value of x being the x intercept. 0=-3/5(3)+b. 0=-9/5+b. Add 9/5 to both sides. b=1 4/5 So, the answer is y=-0.6x+1.8
PLEASE HELP! WILL GIVE BRAINLIEST!
In this problem, we use your critical values table to explore the significance of r based on different sample sizes.
Answer:
1. A,B,D,E
2. E,A,B,D,C
3.H,A,C,D
Step-by-step explanation:
Which choice correctly compares the two decimal numbers to hundredths? A) 28.14 > 29.11 B) 28.61 > 28.48 C) 29.13 < 28.37 D) 29.19 < 28.32
Answer:
B) 28.61 > 28.48
Step-by-step explanation:
A is wrong because 28 < 29
B is correct because 0.61 > 0.48
C is wrong because 29 > 28
D is wrong because 29 > 28
I hope this helps!
Which of the following is true about the expression 5^1/4
Answer:
Answer is greater than 1
Includes Fraction
Rational
Step-by-step explanation:
A rectangle measures 2
1
2
inches by 1
5
16
inches. What is its area?
Considering it's dimensions given as improper fractions, the area of the rectangle is of 3.28125 in².
What is the area of a rectangle?
The area of a rectangle of length l and width w is the multiplication of these dimensions, that is:
A = lw.
In this problem, the dimensions in inches are given as follows.
[tex]l = 2\frac{1}{2} = 2 + 0.5 = 2.5[/tex].[tex]w = 1\frac{5}{16} = 1 + 0.3125 = 1.3125[/tex].Hence the area in squared inches is given by:
A = lw = 2.5 x 1.3125 = 3.28125 in².
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Question 4e Choice Worth 2 )
(03.06 MC)
B В
V
х
у
WD
N
A
What expression represents the value of x?
Ox= ww+z)
Ox=vZ(w+z)
=
Ox=/wy
Ox=WZ
ſ
Answer:
A
Step-by-step explanation:
using the altitude- on- hypotenuse theorem
( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse ) , so
x² = w × (w + z) = w(w + z) ← take square root of both sides
x = [tex]\sqrt{w(w+z)}[/tex]
The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The triangles ΔABC and ΔBCD are similar triangles. Then the ratio of the corresponding sides will be constant.
Then the equation is given as,
x / (w + z) = w / x
Simplify the equation for 'x', then the equation is written as,
x / (w + z) = w / x
x² = w × (w + z)
x = √[w(w + z)]
The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.
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Quincy's father added a 20 ft by 10 ft porch to the house. The house is 50 ft by 40 ft. Find the total area of the house and porch.
A. 1,800 ft2
B. 2,200 ft2
C. 2,000 ft2
D. 200 ft2
Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average speed of 20 miles per hour. The entire two-part, 15-mile race took him 1.125 hours to complete. Which table correctly represents his rates, times, and distances for each part of the race?
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has 8, t, and 8 t. The second row shows Bike, and has 20, 1.125 minus t, and 20 left-parenthesis 1.125 minus t right-parenthesis.
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has 8, t, and 8 t. The second row shows Bike, and has 20, 15 minus t, and 20 left-parenthesis 15 minus t right-parenthesis.
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has StartFraction 1 Over 8 EndFraction, t, and StartFraction 1 Over 8 EndFraction t. The second row shows Bike, and has StartFraction 1 Over 20 EndFraction, 1.125 minus t, and StartFraction 1 Over 20 EndFraction left-parenthesis 1.125 minus t right-parenthesis.
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has StartFraction 1 Over 8 EndFraction, t, and StartFraction 1 Over 8 EndFraction t. The second row shows Bike, and has StartFraction 1 Over 20 EndFraction, 15 minus t, and StartFraction 1 Over 20 EndFraction left-parenthesis 15 minus t right-parenthesis.
Answer:
right all about i think all are right
5.967 is when rounded to the nearest whole number.
Answer:6
Step-by-step explanation:
5.967 is about 6 because 5.9 9 is above 4 so we round up.
O is the center of the regular pentagon below. Find its area. Round to the nearest tenth if necessary.
Answer:
your answer would be 929.24856 or
≈ 929.2
Step-by-step explanation:
tan15∘ = opposite/adjacent= x/17
tan15 ∘= x/17
tan15 /1 = x/17
1/2= 4.55514 ·17
=38.718689
38.718689 · 2 = 77.43738
(77.43738)(12)(multiply the 2)
and your answer should then be....929.24856 or 929.2
i hope i was able to help you!!!
The area of the regular pentagon is 929.2486 or 929.2.
What is regular pentagon?A pentagon is geometrical shapes with" five sides and five angles". The 'pen' represents five and 'gon' represents 'angle' .
According to the question,
The regular pentagon has 'O' as its center and radius of regular pentagon is 17.
Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem
Find the length of the apothem
tan θ = [tex]\frac{opposite}{adajacent}[/tex]
To find θ
The sum of the angles divided by number of sides and to find sum of the angles is (n-2)180.
(12-2)180 = (10)(180).55
= 1800.
To find entire interior angle 1800 divided by 8 we get 225.For the triangle at the bottom of the diagram, the angle is half tha is 225 divided by 5 is 15°.
tan 15° = [tex]\frac{x}{17}[/tex]
(0.2679) 17 = x
x = 4.5543
Perimeter of the polygon = (4.5543)(17)
= 77.4231
Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem
=77.4231 × 12
=929.2476
Hence, The area of the regular pentagon is 929.2486 or 929.2.
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The bill is $100.99. You want to leave a 20% tip. How much should the tip be?
Answer:
$20.20
Step-by-step explanation:
First Convert 20% into a decimal, by dividing it by 100
Percent = out of 100
20/100 = 0.2
Now, multiply the decimal (0.2) with the bill amount ($100.99):
0.2*100.99
$20.198 <== *remember, we are using money, so we round to the nearest cent (dime)
$20.20 <== how much tip you want to leave
How much you pay altogether:
(Bill + tip)
100.99 + 20.20
$121.19
Hope this helps!