The BLS reports median weekly earnings for full time workers . In 1980, weekly earnings was $259. The weekly earnings in 1980 expressed in 1983 prices is $311.
In 2020, weekly earnings was $984. The weekly earnings in 2020 expressed in 1983 prices is$377.
(a) Calculate weekly earnings in 1980 expressed in 2020 prices
(b) b) Calculate average annual inflation from 1980-2020.
Answers
Using proportions, it is found that:
a) In 2020 prices, the weekly earnings in 1980 were of $314.
b) The average annual inflation during this period was of 3.03%.
------------------
Item a:
$259 in 1980 is worth $311 in 1983.In 2020 prices, $311 is worth $377. How much is $259 worth?The rule of three is:
$311 - $377
$259 - x
Applying cross multiplication:
\(311x = 377 \times 259\)
\(x = \frac{377 \times 259}{311}\)
\(x = 314\)
In 2020 prices, the weekly earnings in 1980 were of $314.
------------------
Item b:
The ratio of $314 and $259 is:\(\frac{314}{259} = 1.21235\)
Considering equal change for the 2020 - 1980 = 40 years.\(\frac{1.21235}{40} = 0.0303\)
0.0303*100% = 3.03%
The average annual inflation during this period was of 3.03%.
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Related Questions
3
A Rubik's Cube has a volume of 10 cm
1) Write an equation to find the length of the sides.
2) Find the length of the side to the nearest tenth.
Answers
Answer:
The formula to find the value of the side is X ^ 3 = 10, and the side measures 2.15 cm.
Step-by-step explanation:
Given that a Rubik's Cube has a volume of 10 cm, to write an equation to find the length of the sides and find the length of the side to the nearest tenth, the following calculations must be performed, knowing that the volume of a cube is obtained to enhance one of its sides to the third:
X ^ 3 = 10
X = 3√ 10
X = 2.15
Thus, the formula to find the value of the side is X ^ 3 = 10, and the side measures 2.15 cm.
Sketch a graph of the polynomial function f(x) =x^3+4x^2+3x. Use it to complete the following:
f is on the intervals (-00, -3) and (-1,0).
f is on the intervals (-00, -2 and (-0,5, 00).
Answers
The value of the function is zero at negative 3, negative 1, and zero. And the graph of the function is given below.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Sketch a graph of the polynomial function given below.
\(\rm f(x) =x^3+4x^2+3x\)
Use it to complete the following:
Then the factor of the polynomial will be
f(x) = x³ + 4x² + 3x
f(x) = x(x² + 4x + 3)
f(x) = x(x² + 3x + x + 3)
f(x) = (x)(x + 3)(x + 1)
The graph of the function is given below.
Then the value of the function is positive in the interval of (-3, -1) and the value of the function is negative in the interval of (-1, 0)
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Write an equation that matches the situation: Mike has 6 turkey subs and Mary has g turkey subs. There are 13 turkey subs total. *
Answers
Answer:
6 + g = 13
Step-by-step explanation:
hope this helps have a great day!
What is the scale factor from Triangle ABC 7,6,10 to Triangle DEF 14,12,20
Answers
Answer:
the scale factor is 2
Step-by-step explanation:
7 x 2 = 14
6 x 2 = 12
10 x 2 = 20
What is the factored form of the polynomial?
x² - 122+27?
(x + 4)(x + 3)
(x - 4)(x+3)
(x + 9)(x + 3)
O (x - 9)(x-3)
Answers
Answer:
x^2-95
Step-by-step explanation:
Answer:
(x - 9)(x - 3).
Step-by-step explanation:
x^2 - 12x + 27.
We need 2 numbers whose product is +27 and whose sum is -12.
They are -9 and -3 so the answer is:
(x - 9)(x - 3).
In an attempt to asses total daily travel taxes in various cities, the Global Business Travel Association conducted a study of daily travel taxes on lodging, rental cars, and meals (GBTA Foundation website, October 30, 2012). The data in the file named "TravelTax" are consistent with the findings of that study for business travel to Chicago. Assume the population standard deviation is known to be $8.50 and develop a 95% confidence interval of the population mean total daily travel taxes for Chicago.
Lodging, Car Rental, and Meal Taxes ($)
38.02
41.89
47.44
40.14
47.69
44.02
32.93
33.32
33.90
36.53
43.01
33.22
35.65
39.47
38.86
42.42
47.71
45.03
53.73
36.07
49.95
31.81
63.43
31.50
64.13
42.14
46.78
30.45
47.35
39.42
39.79
43.63
34.03
35.74
48.43
30.92
44.45
41.63
27.23
41.03
43.87
46.07
34.34
39.57
36.40
48.18
42.92
35.57
45.68
43.14
55.21
34.73
26.40
40.66
37.66
28.63
38.17
45.16
46.19
49.58
48.14
45.61
34.22
44.34
55.14
37.00
48.78
52.77
49.07
38.14
45.35
42.59
41.27
20.93
30.70
43.00
50.91
38.56
41.31
39.18
33.57
25.09
30.05
19.28
32.47
53.97
47.32
35.61
44.11
38.97
37.48
40.55
52.03
46.86
46.07
34.89
42.93
49.64
44.35
41.66
39.80
50.31
36.59
33.40
45.51
44.43
47.65
36.24
32.03
32.81
31.64
40.18
34.13
33.22
48.60
40.66
43.37
41.08
34.11
52.91
31.76
56.03
33.61
40.11
53.77
34.73
35.58
48.28
31.89
34.71
37.44
34.77
31.82
39.98
44.66
31.78
21.69
43.23
54.00
46.55
44.85
42.15
25.67
50.25
44.62
44.30
45.09
35.12
34.06
31.77
36.55
36.79
29.65
47.66
25.91
47.27
32.31
42.52
46.86
48.75
38.81
33.66
27.24
46.40
50.95
39.74
35.47
35.95
29.51
62.77
37.72
45.80
39.91
33.28
39.63
28.57
38.14
36.04
40.13
35.51
31.49
39.49
37.69
50.34
44.10
45.61
46.51
53.00
35.40
25.64
47.65
47.49
32.76
45.41
28.77
37.32
28.64
50.67
33.77
40.88
Answers
Answer:
The 95% confidence interval of the population mean total daily travel taxes for Chicago is ($39.13, $41.49).
Step-by-step explanation:
The first step, before building the confidence interval, is finding the mean of the data set.
We are given 200 values, and the with the help of a calculator, the mean of this values is of 40.31.
Confidence interval:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1 - 0.95}{2} = 0.025\)
Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).
That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.
Now, find the margin of error M as such
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation of the population(8.50, as given in the problem) and n is the size of the sample(200).
\(M = 1.96\frac{8.50}{\sqrt{200}} = 1.18\)
The lower end of the interval is the sample mean subtracted by M. So it is 40.31 - 1.18 = $39.13.
The upper end of the interval is the sample mean added to M. So it is 40.31 + 1.18 = $41.49.
The 95% confidence interval of the population mean total daily travel taxes for Chicago is ($39.13, $41.49).
Answer:
($39.132, $41.488)
A step-by-step explanation is mentioned in the attached image
what numbers do you need to determine the surface area of a right cone?; what numbers must you know to find the surface area and volume of a sphere?; find the volume of the sphere with a great circle of radius 7 cm.; given a regular pentagon with radius 5, and each side of length 6, find the area of the pentagon.
Answers
1) To determine the surface area of a right cone, we must know the radius of the circular base and height of the cone.
2) To determine the surface area and volume of a sphere, we must know the radius of the sphere.
3) The volume of the sphere with a great circle of radius 7 cm is 1436.75 cubic centimeters
4) The area of a regular pentagon with radius 5, and each side of length 6 is 45 square units
To determine the surface area of a right cone:
The formula for the surface area of a right cone is,
A = πr[r + √(h² + r²)]
this means, to determine the surface area of a right cone, we must know the radius of the circular base and height of the cone.
To find the surface area and volume of a sphere:
The formula for the surface area of sphere is,
A = 4πr²
and the formula for the volume of sphere is,
V = 4/3 πr³
This means, to determine the surface area and volume of a sphere, we must know the radius of the sphere.
For a sphere with radius r = 7 cm the volume would be,
V = 4/3 * π * 7³
V = 1436.75 cubic centimeters
Now we need to find the area of a regular pentagon with radius 5, and each side of length 6.
The formula for the area of a regular pentagon is:
A = 1/2 × P × a
where 'p' is the perimeter of the pentagon and 'a' is the apothem of a pentagon.
The perimeter of the pentagon is:
P = 5 * side lengths
P = 5 * 6
P = 30 units
We know that an apothem of a regular polygon is a radius of the inscribed circle.
From given dimensions, a = 5 units
so, the area of a regular pentagon would be,
A = 1/2 × 30 × 5
A = 45 square units
Therefore, the area of a regular pentagon is 45 square units
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PLEASE HELP!! Find the missing side and round answer to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
opp=x,hyp=16
sin 51°=\(\frac{x}{16}\)
cross multiply
sin 51° x 16 =x
0.7771 x 16=x
12.4=x
Question is in the picture.
Answers
A formula that describes the average revenue per person is:
average revenue per person = 1.4w
How to find a formula that describes the average revenue per person?Average revenue per person is the ratio of the total revenue received to the number of people. It is calculated by dividing total revenue by the number of people.
We have:
Total revenue formula, M = 350w⁴
Total number of people formula, T = 250w³
Thus,
Average revenue per person = M/T
Average revenue per person = 350w⁴/250w³
Average revenue per person = 1.4w
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Steve needs to clean the four walls of his aquarium. The dimensions of the aquarium are shown. Steve needs to clean the four walls of his aquarium. The dimensions of the aquarium are shown.
Answers
The total dimension of the aquarium that will be cleaned by Steve will be 94 meters.
How to illustrate the dimensions?Your information isn't given. Therefore, an overview will be given. In this case, let's assume that the aquarium is rectangular. Let's assume the dimensions are 20m by 27m.
In this case, since she needs to clean the four walls of the aquarium, the total distance that will be cleaned will be:
= 2(Length + Width)
= 2(27 + 20)
= 2 × 47
= 94m
In conclusion, 94m will be cleaned.
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Can someone help me pls
Answers
Answer:
\( m\overset{\Large\frown}{EFC} = 237° \)
Help me help me help me help me
Answers
Answer: 252.5
Step-by-step explanation:
Add 211+216+256+327= 1,010
Divide 1,010/4= 252.5
(5x7) + (5x9) = 5x (7+?
Answers
Answer:
9
Step-by-step explanation:
this is because it is 9 and it could be 9
Answer:
First let's find what (5x7) + (5x9) equals;
(5x7) + (5x9)
35 + 45
= 80
Now 80 has to equal to;
5 x (7 + y) ( where 'y' is our unknown number)
So we set up the equation:-
80 = 5 x (7 + y)
80 = 35 + 5y
-35 -35
45 = 5y
/5 /5
9 = y
Let's double check:
80 = 5 x (7 + y)
80 = 5 x (7 + 9)
80 = 35 + 45
80 = 80, we are correct.
Cho ma trận 4 1 21 0 13 2 1A= −−−−Tính 25AI−Câu 2(3điểm)Tìm ma trận nghịch đảo của ma trận sau−=123020112ACâu 3(3điểm)Giải hệ phương trình=+−−=+−=−+02347213321321321xxxxxxxxxCâu 4(1điểm)Giải và biện luận hệ phương trìnhsau theo m1 2 31 2 31 2 3222 2 6 62 3 4 5xx xxxxxxxm− + =− + − = −− + = +HẾT.
Answers
Hi can you translate into English then I would be happy to help
What is the area of this rectangle? Rectangle with width 5.1 cm and height 11.2 cm. Responses 16.3 cm2 16.3 cm, 2 32.6 cm2 32.6 cm, 2 57.12 cm2 57.12 cm, 2 571.2 cm2
Answers
The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².
To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.
Area = length × width
Area = 11.2 cm × 5.1 cm
Calculating the product, we get:
Area = 57.12 cm²
Therefore, the area of the rectangle is 57.12 cm².
The correct answer is: 57.12 cm².
It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.
So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².
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The measure of dispersion that measures how much the data differ from the mean is called the.
Answers
The measure of dispersion that measures how much the data differ from the mean is called the standard deviation.
What is standard deviation?Standard deviation is a statistical measure of dispersion as opposed to the measure of central tendency like mean, median and mode.
The standard deviation is a measure of how spread out data values are around the mean.
It is defined as the square root of the variance and represented with the Greek letter σ.
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What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)?
4x – 5y = 5
Answers
Answer:
Step-by-step explanation:
-5y = -4x + 5
5y = 4x - 5
y = 4/5x - 1
perp. -5/4
y - 3 = -5/4(x - 5)
y - 3 = -5/4x + 25/4
y - 12/4 = -5/4x + 25/4
y = -5/4x + 37/4
Solve the following systems of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols. 3x+4y=16 -4x-3y=-19
Answers
Answer:
(4, 1)
Step-by-step explanation:
3x+4y=16 /*4
-4x-3y= - 19 /*3
12x + 16y = 64
- 12x - 9y = - 57
7y = 7
y = 1
3x+4y=16
3x + 4*1 = 16
3x = 16 - 4
3x = 12
x = 4
Name the integers and the rational numbers in the given set. {-2,5, √6, 2/3,π Select the correct choice below and fill in any answer boxes within your choices. whts the answer ?
Answers
GRADE O7 MATHEMATICS MCA / MATHEMATICS MCA / 22 OF 49
42%
The table shows the average annual precipitation over a 30-year period for 7 states. The values for Michigan and Nebraska are missing.
• When the missing values are included, the range for the data is 18.1.
• The mean of the values for Michigan and Nebraska is 28.2 inches.
• Michigan has a greater amount of annual precipitation than Nebraska.
• Indiana has the greatest average annual precipitation.
What are the missing values?
Drag the numbers into the table.
Answers
Answer:
Michigan: 32.8
Nebraska: 23.6
Step-by-step explanation:
"Y varies directly as x". If y = 3 when x = 24, find y when x = 10.
Answers
Answer:
y=3x-24
Step-by-step explanation:
What is B^2+8b+7??
Can someone explain it step by step please?
Answers
Step-by-step explanation:
B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).
To factor a quadratic expression, you can use the following steps:
1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).
2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.
In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:
(b+7)(b+1)
This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).
Here is a step-by-step explanation of how to factor B^2+8b+7:
1. The coefficient of the middle term is 8.
2. The constant term is 7.
3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.
4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).
To solve it, you can use the quadratic formula, which is:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 1, b = 8, and c = 7.
So, substituting the values, we get:
x = (-8 ± √(8^2 - 4(1)(7))) / 2(1)
x = (-8 ± √(64 - 28)) / 2
x = (-8 ± √36) / 2
x = (-8 ± 6) / 2
x = -1 or -7
Therefore, B^2+8b+7 is equal to -1 or -7.
I need it done very quick pls help
Answers
HELP PLEASE IM STUCK ON THIS QUESTION AND ITS BEEN LIKE TEN MINUTES
Answers
Answer:
one
Step-by-step explanation:
Multiplying both sides by 8,
\(6(3x+4)=8x+16+x \\ \\ 18x+24=8x+16\)
From here, it is easy to see there will be one solution.
Answer:
one solution
Step-by-step explanation:
9/4x+3=x+2+1/8x
19/8x+3=9/8x+2
-9/8x. -9/x
10/8x+3=2
-3. -3
10/8x=-1
X8. X8
10x=-8
/10. /10
x=-8/10
One solution
Hopes this helps please mark brainliest
What is the slope of a line that is perpendicular to the line represented by the equation x – y = 8? 1 −1 8
Answers
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
\(x-y=8\implies -y=-x+8\implies y=\stackrel{\stackrel{m}{\downarrow }}{1}x-8\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ 1 \implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1} \implies \text{\LARGE -1}}}\)
Which is true?
The number 100 is reduced by 30%. The number X is the result of that calculation increased by 30%. The number Y is equal to 100.
Which statement is true?
Answers
Answer: Your equation will look like this, where “N” is the number and “R” is the intermediate result
N−(N∗30/100)=R
R+(R∗50/100)=525
Simplifying and solving for R, we get:
R+0.5R=525 ← reducing 50/100
1.5R=525 ← combining R terms
R=350 ← dividing both sides by 1.5
Now, we need to solve for N:
N−0.3N=350 ← reducing 30/100
0.7N=350 ← combining N terms
N=500 ← dividing both sides by 0.7
hope this helps you
An odometer show that a car has traveled 40,000 miles by January 1, 2020. The car travels 16,000 miles each year. Write an equation that represents the number y of miles on the car’s odometer x years after 2020.
y = __
Answers
The equation will be \(y=40000+16000*x\)
How do you resolve a two-variable equation?Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.
Two variables are used in what kind of equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.
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WILL GIVE BRAINLIEST IFFFF CORRECT!!!!
Answers
Explanation:
M represent the number of minutes. The equation shows the .15m . Meaning that they charge .15 cents every minute PLUS a flat fee of $35. The second part of the equation is the same; they charged .25 cents every m ( .25m) PLUS a flat fee of $20. All of this was shown in the last question if you look closely.
Whats the value of h?
2h+2
2h
h+5
Answers
Answer:
h=5
Step-by-step explanation:
I know how I got the answer, but I have no idea how to explain it. Sorry lol. It was basically trial and error.
Which number sentence is NOT true?OA) |-80| < 80OB) |17|= 17OC) |-80| > |17|OD) |-17| < |80|
Answers
Recall that definition
\(|x|=\begin{cases}-x\text{ if x}\leq\text{0} \\ x\text{ if x>0}\end{cases}\)A)
\(\text{Consider }|-80|,\text{ here -80 <0.}\)By using the definition
\(|-80|=-(-80)=80\)\(|-80|=80\)Option A is not true.
B)
\(undefined\)