The contract price is $8,750,000
What is contract price?
Contract price means the amount Lao Construction Company charged the customer for total contract's execution.
We need to ascertain the percentage completion of the project first and foremost, which is the total costs incurred to date divided by the contract's total costs.
cost incurred to date=$ 1,500,000
total contract's cost=cost incurred to date+ expected future costs
total contract's cost=$1,500,000+$6,000,000
total contract's cost=$7,500,000
% completion=$1,500,000/$7,500,000
% completion=20%
gross profit recognized=(contract price*% completion)-costs incurred till date
gross profit recognized=$250,000
contract price=unknown(assume it is X)
% completion=20%
cost incurred to date=$ 1,500,000
$250,000=(20%*X)-$1,500,000
$250,000+$1,500,000=0.20X
$1,750,000=0.20X
X=$1,750,000/0.20
X=$8,750,000
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Poormina spends all of her money on comic books and mandarins. in 2013, she earn $12 per hour, the price of a comic book was six dollars, and the price of a mansion was one dollar
The price of a mansion is $1.00 in 2013.
What is difference between a nominal and real variable?
Nominal variables are expressed in money or dollar terms, whereas the real variable compares the wage earned per hour to the basket of goods or services that it can purchase.
In comparing the wage earned per hour to 2 comic books, since the two would cost $12,that explains real variable, which is not required in this case.
However, comparing the the wage of $12 per hour to the price of mansion, which is $1 per one, indicates nominal variable.
In essence, the correct option in this case is that price of a mansion is $1.00 in the year 2013.
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Which shapes have less than 3 lines of symmetry?
A) B and C
B) A and D
C) B and D
D) A and C
The shapes that have less than 3 lines of symmetry are Isosceles trapezoid and Isosceles triangle
How to determine the shapes that have less than 3 lines of symmetry?The shapes are given as:
Isosceles trapezoidSquareIsosceles triangleRegular PentagonThe lines of symmetry are the lines that, when the shape is rotated through this line, the shape remains the same
As a general rule:
An Isosceles trapezoid and an Isosceles triangle have two lines of symmetry
Hence, the shapes that have less than 3 lines of symmetry are Isosceles trapezoid and Isosceles triangle
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Please help it would be much appreciated
Answer:
calcium =1x40=40
chlorine=2x35=70
40+70=110
ca=40/110×100=36.36
when we approximate it become 36.4
thanks
5. A Government of Canada V39065 issue 90-day T-bill achieved its highest rate of return on May
24, 2000, with a yield of 5.74%. It realized its lowest rate of return on February 26, 2010, with
a yield of 0.16%. Calculate the purchase price of a $100,000 T-bill on each of these dates. In
dollars, how much more yield did an investor realize in 2000 than in 2010?
Based on the yields to the Canadian government's T-bills, the purchase price of a $100,000 T-bill on each of these dates are:
May 24, 2000 = $98,565February 26, 2010 = $99,960The yield to the investor in 2010 more than 2000 was $1,395.
What was the price of the T-Bills?On May 24, 2000, the price was:
= 100,000 x ( 1 - 5.74% x 90/360 days)
= $98,565
On February 26, 2010, the price was:
= 100,000 x (1 - 0.16% x 90/360)
= $99,960
The difference in yield is:
= (100,000 - 98,565) - (100,000 - 99,960)
= $1,395
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Find the point at which the line with parametric equations x = 2 3t, y =-4t, z =5 t intersects the plane 4x 5y -2z=18
It looks like you have
[tex]\begin{cases}x=2+3t\\y=-4t\\z=5+t\end{cases}[/tex]
Substituting these in to the plane equation, we have
[tex]4x+5y-2z = 4(2+3t) + 5(-4t) - 2(5+t) = -2-10t = 18 \\\\ \implies-10t = 20 \implies t = -2[/tex]
When [tex]t=-2[/tex], we get the point
[tex]\begin{cases}x=2+3(-2)\\y=-4(-2)\\z=5+(-2)\end{cases} \implies (x,y,z) = \boxed{(-4,8,3)}[/tex]
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the equation of the circle whose center and radius are given.
center ( 5, 6), radius = 3
The equation of the circle whose center and radius are given as center ( 5, 6), radius = 3 is; x² + y² - 10x - 12y + 52 = 0
How to find the equation of a circle?We know that the general form of equation of a circle whose center is (h, k) and radius is r is expressed as;
(x - h)² + (y - k)² = r² --- (1)
We are given;
Center coordinate; (h, k) = (5, 6)
radius; r = 3
Plug in the values of h = 5 , k = 6 and r = 3 into the equation to get;
(x - 5)² + (y - 6)² = 3²
Expanding the equation gives;
x² - 10x + 25 + y² - 12y + 36 = 9
x² + y2 - 10x - 12y + 52 = 0
Thus the equation of the circle whose center and radius are given as center ( 5, 6), radius = 3 is; x² + y² - 10x - 12y + 52 = 0
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When an integer is subtracted from 2 times the next consecutive odd integer, the difference is 1. Find the value of the greater integer.
The value of the greater integer which is the next consecutive odd integer is; -1.
What is the value of the greater integer as described by the task content?By observation, it follows that the first integer can be represented by 2x+1 while the next consecutive odd integer can be represented as 2x+3.
Hence, it follows that we have;
2(2x+3) - 2x - 1 = 1
4x +6 -2x - 1 = 1
2x = -4
x = -2.
Consequently, the value of the next consecutive greater integer is; 2(-2) + 3= -1.
It consequently follows from the computations above that the value of the greater odd integer is; -1.
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What form is 950,000 in
Answer:
standard form
hope this helps! <3
Which linear system has this matrix of constants? `[[12],[11],[4]]` a, b, c or d
IMAGE ATTACHED
The following linear system has [[12], [11], [4]] matrix of constants,
x + y + z = 12
x - y = 11
x - y + z = 4
(Option D)
Verification of the Choice:
The given linear system is,
x + y + z = 12
x - y = 11
x - y + z = 4
This can be written in the form of matrix as follows,
[tex]\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right][/tex] [tex]\left[\begin{array}{}x&y&z\end{array}\right][/tex] = [tex]\left[\begin{array}{}12&11&4\end{array}\right][/tex]
Hence, option D is the correct linear system as it contains the desired matrix.
About the Other Options:
The RHS matrix in option A would be,
[tex]\left[\begin{array}{}26&17&23\end{array}\right][/tex] which is not the desired matrix.
Similarly, the linear systems in the options B and C contain the matrix [tex]\left[\begin{array}{}23&17&26\end{array}\right][/tex] and the matrix [tex]\left[\begin{array}{}4&11&12\end{array}\right][/tex] on the RHS of the equality, which are not desired.
Thus, option D is correct.
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Solve (72 )3 ÷73 and answer properly no spammers allowed
In quadrilateral ABCD, the sides BC and AD are congruent. The diagonal AC is the bisector of the angle BAD=160 degrees, thats is 8 times greater than angle ACB. Find the measure of angle ADC
pls help
Answer: [tex]50^{\circ}[/tex]
Step-by-step explanation:
[tex]m\angle CAB=m\angle CAD=80^{\circ}[/tex] (angle bisector)
[tex]m\angle ACB=20^{\circ}[/tex] (one-eighth of [tex]\angle BAD[/tex])
[tex]m\angle ABC=80^{\circ}[/tex] (sum of angles in a triangle)
[tex]\overline{AC} \cong \overline{BC}[/tex] (converse of base angles theorem)
[tex]m\angle ADC=50^{\circ}[/tex] (base angles theorem)
QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
a. Central angle in the circle is: Angle BAC
b. A major arc is: Arc BEC
c. A minor arc is: Arc BC
d. m(arc BEC) = 260°.
e. m(arc BC) = 100°.
What is the Central Angle Theorem?The central angle theorem states that: the central angle measure of a circle equals the measure of the intercepted arc.
What is a Central Angle?A central angle is formed by two radii of a circle, and the vertex of the angle is at the center of the circle.
What is a Major Arc?Any arc that is more than half a circle (semicircle) or has a measure that is greater than 180 degrees, is referred to as a major arc of that circle. The measure of the major arc > 180 degrees.
What is a Minor Arc?Any arc that is not more than half a circle (semicircle) or has a measure that is less than 180 degrees, is referred to as a minor arc of that circle. The measure of the minor arc < 180 degrees.
a. One central angle that can be identified in circle A is: Angle BAC
b. A major arc that can be identified in circle A is: Arc BEC
c. A minor arc that can be identified in circle A is: Arc BC.
d. According to the central angle theorem, we have:
m(arc BEC) = 360 - 100
m(arc BEC) = 260°
e. We are given that m(angle BAC) = 100°, therefore, according to the central angle theorem, we have:
m(arc BC) = m(angle BAC )
m(arc BC) = 100°
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A community college employs 88 full-time faculty members. To gain the faculty's opinions about an upcoming building project, the college president wishes to obtain a simple random sample that will consist of 9 faculty members. He numbers the faculty from 1 to 88. Complete parts (a)
-Using the provided random number table, the president closes his eyes and drops his ink pen on the table. It points to the digit in row 3, column 6. Using this position as the starting point and proceeding downward, determine the numbers for the 9 faculty members who will be included in the sample.
The numbers that would be included in the sample are 4, 1, 1, 4, 7, 9, 2, 6, 4, 7, 4, 4, 1, 0, 3, 0, 5, 0, 7, 1, 1, 6, 5, 4, 9
How to determine the number that will be included in the sample?The complete question is added as an attachment
The given parameters are:
Row = 3
Column = 6
From the attached figure, the entries in row 3 are:
4, 1, 1, 4, 7, 9, 2, 6, 4, 7, 4, 4, 1, 0, 3, 0, 5, 0, 7 1
From the attached figure, the entries in column 6 are:
1, 6, 9, 5, 4, 9
Hence, the numbers that would be included in the sample are 4, 1, 1, 4, 7, 9, 2, 6, 4, 7, 4, 4, 1, 0, 3, 0, 5, 0, 7, 1, 1, 6, 5, 4, 9
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If the scale factor between two circles is 2x/5y, what is the ratio of their areas?
Given that the length ratio between the radii of the two circles is (2 · x) / (5 · y). The ratio of the areas of the two circles is (4 · x²) / (25 · y²).
What is the area ratio of two circles?According to the statement we know that the radius ratio between two circles. Given that the area of the circle is directly proportional to the square of its radius, then the area ratio is shown below:
A ∝ r²
A = k · r²
A' · r² = A · r'²
A' / A = r'² / r²
A' / A = (r' / r)²
A' / A = [(2 · x) / (5 · y)]²
A' / A = (4 · x²) / (25 · y²)
Given that the length ratio between the radii of the two circles is (2 · x) / (5 · y). The ratio of the areas of the two circles is (4 · x²) / (25 · y²).
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Evaluate The quantity of x cubed plus 3x squared minus 2x plus 7 divided by the quantity of x minus 2 end quantity period.
1. x squared minus 5x plus 2 plus 23 divided by the quantity of x minus 2
2.x cubed plus 5x plus 8 plus 11 divided by the quantity of x minus 2 end quantity
3.x squared minus 5x plus 6 plus 3 divided by the quantity of x minus 2 end quantity 4. x squared plus 5x plus 8 plus 23 divided by the quantity of x minus 2 end quantity
The value of x^3 + 3x^2 - 2x + 7 divided by x- 2 is (x^2 + 5x + 8) + 23/(x - 2)
What is a quotient?Quotients involve the result of dividing a dividend by a divisor.
In other words, quotient means division or the result of a division operation
How to solve the quotient?The quotient expression is given as:
(x^3 + 3x^2 - 2x + 7)/x- 2
Expand the numerator in the above expression
(x^3 + 5x^2 - 2x^2 + 8x - 10x - 16 + 23)/(x - 2)
Rearrange the terms of the numerator in the above expression
(x^3 + 5x^2 + 8x - 2x^2 - 10x - 16 + 23)/(x- 2)
Factorize the numerator in the above expression
[x(x^2 + 5x + 8) - 2(x^2 + 5x + 8) + 23]/(x - 2)
Factor out x^2 + 5x + 8
[(x -2)(x^2 + 5x + 8) + 23]/(x - 2)
Split the fractions
(x -2)(x^2 + 5x + 8)/(x - 2) + 23/(x - 2)
Divide the common factors
(x^2 + 5x + 8) + 23/(x - 2)
Hence, the value of x^3 + 3x^2 - 2x + 7 divided by x- 2 is (x^2 + 5x + 8) + 23/(x - 2)
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Complete question
Evaluate (x^3 + 3x^2 - 2x + 7)/x- 2
Answer:
4 / D | x^2 + 5x + 8 + 23/x - 2Step-by-step explanation:
The correct answer is D because when you divide & simplify the original question's equation, you get the results that are equivalent to answer D.
When we use statistical software to compare the means with a significance test, we obtain the following printout: Variance T DF Prob>|T| Unequal 2.9146 41.9 0.006 1.3.1 Interpret the P-value, in context, based on its definition. (Note: You are not being asked to make a decision at some α-level.
The interpretation of the p-value is that there is a 0.006 = 0.6% probability of the sample means differing by the amount that they differed on the sample.
What are the hypothesis tested?At the null hypothesis, it is tested if the means are equal, that is:
[tex]H_0: \mu_1 = \mu_2[/tex]
At the alternative hypothesis, it is tested if the means are different, that is:
[tex]H_1: \mu_1 \neq \mu_2[/tex]
Since we are testing if the means are different, we have a two-tailed test, which means that the p-value is the probability of the means differing by the amount they different on the sample, or a greater amount.
Hence, the interpretation is that there is a 0.006 = 0.6% probability of the sample means differing by the amount that they differed on the sample.
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(20x2 – 12x) + (25x– 15)
4x(5x – 3) + 5(5x – 3)
(5x – 3)(
x +
)
Answer:
(4x+5)
Step-by-step explanation:
4x(5x-3)+5(5x-3)
collecting like terms, first part is (5x-3) hence second part of the equation is (4x+5) from the equation above.
Answer:
Step-by-step explanation:
(20x2 – 12x) + (25x– 15)
4x(5x – 3) + 5(5x – 3)
(( (5x – 3)(4x +5) ))
Find the length of mAB using the figure below
(please see photo)
Answer:
5
Explanation:
Look at the number line and count the number of increments needed to get from point A to B.
5 (units) is the answer
Step-by-step explanation:
-2 is point A
3 is point B
Find the absolute value then add
|-2| + |3| = 5
There's our answer, 5! Or the second choice
A clothing store can make 4 dress shirts out of 14 yards of cotton cloth. At that rate, how many dress shirts can be made out of 63 yards of cotton cloth?
Really not sure what is meant by this when I'm only given one number, would appreciate help very much!!!!
Using continuous compounding, it is found that the value of r is of r = 7.7%.
What is continuous compounding?The amount of money after t years in continuous compounding is:
[tex]P(t) = P(0)e^{rt}[/tex]
In which:
P(0) is the initial amount.r is the exponential growth rate.The doubling time of 9 years means that P(9) = 2P(0), which is used to find r, hence:
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]2P(0) = P(0)e^{9r}[/tex]
[tex]e^{9r} = 2[/tex]
[tex]\ln{e^{9r}} = \ln{2}[/tex]
[tex]9r = \ln{2}[/tex]
[tex]r = \frac{\ln{2}}{9}[/tex]
r = 0.077.
r = 7.7%.
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by selling an article for rs.144 a man loses 1÷7 of his outlay. If it is sold for rs. 189. What is the gain or loss percentage.
Answer:
5250%
Also, if you could label this brainliest that would be a great help!
Thanks xx
-Dante
Step-by-step explanation:
1) Formulate
2) Calculate
3) Transform expression
4) Calculate
5) Invert and multiply
6) Simplify
7) Calculate
8) Calculate
9) Rewrite the number
10) Calculate
11) Calculate
12) Convert the number
You’re done!
Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 residents from two different neighborhoods are displayed in the histograms. 2 histograms. A histogram titled Pine Road Neighbors has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 1; 125 to 150, 2; 150 to 175, 5; 175 to 200, 10; 200 to 225, 13; 225 to 250, 8. A histogram titled Front Street Neighbors has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 5; 125 to 150, 7; 150 to 175, 8; 175 to 200, 5; 200 to 225, 8; 225 to 250, 7. Which statement correctly compares the water bills for the two neighborhoods? Overall, water bills on Pine Road are less than those on Front Street. Overall, water bills on Pine Road are higher than those on Front Street. The range of water bills on Pine Road is lower than the range of water bills on Front Street. The range of water bills on Pine Road is higher than the range of water bills on Front Street.
The statement that correctly compares the water bills for the two neighborhoods based on the histogram given is that the range of water bills on Pine Road is higher than the range of water bills on Front Street.
What is a histogram?It should be noted that a histogram means a graph that shows the frequency of the numerical data using rectangles.
In this case, the statement that correctly compares the water bills for the two neighborhoods based on the histogram given is that the range of water bills on Pine Road is higher than the range of water bills on Front Street. This was the difference between the highest and lowest number.
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Answer: More homes on Pine Road had water bills above $200 than on Front Street.
Step-by-step explanation: edge 2023
I roll two dice and observe two numbers X and Y . If Z = X − Y , find the range and PMF of Z.
[tex]X[/tex] and [tex]Y[/tex] are independent and identically distributed with PMF
[tex]\mathrm{Pr}(X = x) = \begin{cases}1/6 & \text{if } x \in\{1,2,3,4,5,6\} \\ 0 & \text{otherwise}\end{cases}[/tex]
If [tex]Z=X-Y[/tex], then [tex]Z[/tex] has range/support
{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}
where we can get
-5 = 1 - 6 in 1 way, hence with probability 1/36-4 = 1 - 5 = 2 - 6 in 2 ways, with probability 2/36 = 1/18-3 = 1 - 4 = 2 - 5 = 3 - 6 in 3 ways, with probability 3/36 = 1/12and so on, so that the PMF of [tex]Z[/tex] is
[tex]\mathrm{Pr}(Z=z) = \begin{cases}1/36 & \text{if } z\in\{-5,5\} \\ 2/36 & \text{if } z\in\{-4,4\} \\ 3/36 & \text{if }z\in\{-3,3\} \\ 4/36 & \text{if } z\in\{-2,2\} \\ 5/36 & \text{if } z\in\{-1,1\} \\ 6/36 & \text{if } z =0 \\ 0 & \text{otherwise}\end{cases}[/tex]
IF A BASEBALL TEAM CONSISTS OF 18 PLAYERS, HOW MANY POSSIBLE GROUPS
OF 9 MAN TEAMS ARE POSSIBLE?
The number of ways men can be selected from the team of 18 is 48,620ways
Combination and PermutationPermutation has to do with arrangement while combination has to do with selection.
If a baseball team consists of 18 players and 9 man are possible in the team, the number of ways the men can be chosen is calculated using the combination formula below;
nCr = n!/(n-r)!r!
Given the following
n =18
r = 9
Substitute
18C9 = 18!/(18-9)!9!
18C9 = 18!/9!9!
18C9 = 48,620
Hence the number of ways men can be selected from the team of 18 is 48,620ways
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Which equation represents the data shown in the table below?
Answer:
B. y = x +3
Step-by-step explanation:
The fastest way to find this answer is to substitute offered values of x and y into the given equations to see if they are true.
SubstitutionUsing the first line in the table, (x, y) = (2, 5), we have ...
A 5 = 2(2) . . . . false
B 5 = 2 +3 . . . . true
C 5 = 3(2) . . . . false
D 5 = 2 +1 . . . . false
__
Additional comment
Checking answer choices against the problem statement is one of many possible strategies for answering multiple-choice questions.
Is the answer true or false?
what is 4,928 will rounded to the nearest hundred
Answer:
4900
That is your answer..........
can someone help me with this, it's urgent!
1. D
2. B
3. E
4. C
5. B
Concept:From the three examples at the top of the page, the sum of the bottom two parts of the triangle equals to six times the value of the part at the top.
For example, the first one: 20, 10, 5 (Tip)
20 + 10 = 305 × 6 = 30For example, the second one: 4, 14, 3 (Tip)
4 + 14 = 183 × 6 = 18Solve:Question 1
Given information
Tip = 15
Bottom = ?, 51
Determine the sum
15 × 6 = 90
Find the other bottom part
90 - 51 = 39
[tex]\Large\boxed{D.~39}[/tex]
Question 2
Given information
Tip = 9
Bottom = 21, ?
Determine the sum
9 × 6 = 54
Find the other bottom part
54 - 21 = 33
[tex]\Large\boxed{B.~33}[/tex]
Question 3
Given information
Tip = ?
Bottom = 60, 60
Determine the sum
60 + 60 = 120
Find the tip
120 ÷ 6 = 20
[tex]\Large\boxed{E.~20}[/tex]
Question 4
Given information
Tip = ?
Bottom = 18, 30
Determine the sum
18 + 30 = 48
Find the tip
48 ÷ 6 = 8
[tex]\Large\boxed{C.~8}[/tex]
Question 5
Given information
Tip = 12
Bottom = ?, 38
Determine the sum
12 × 6 = 72
Find the other bottom part
72 - 38 = 34
[tex]\Large\boxed{B.~34}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
What is the mean of 13, 7, 8 and 4
Answer:
16
Step-by-step explanation:
Mean is same as average. To find the average, add all items and divide the sum by the number of items in the list.
Avg = (13 + 7 + 8 + 4) / 2 = 32 / 2 = 16
Hi there,
please see below for solution steps :
‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗
To find the mean you first need to add all numbers and divide by how many there are :
[tex]\sf{\dfrac{13+7+8+4}{4}}[/tex]
⨠ simplify
[tex]\sf{\dfrac{32}{4}}[/tex]
[tex]\boxed{\sf 8}[/tex] [tex]\tiny\pmb{\sf{Frozen \ melody}}[/tex]
‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗
Solve b + 3∕8 = 4∕9 for b.
A. 32/27
B. 59/72
C. 5/72
D. 1/6
Answer:
The value of b equals to
[tex] \frac{5}{72} [/tex]
Step-by-step explanation:
Hello!steps given below
given expression
[tex]b + \frac{3}{8} = \frac{4}{9} \\ [/tex]
subtract
[tex] \frac{3}{8} [/tex]
from both sides
[tex]b + \frac{3}{8} - \frac{3}{8} = \frac{4}{9} - \frac{3}{8} \\ b = \frac{4}{9} - \frac{3}{8} [/tex]
To, continue find the L.C.M of 9 and 8 thus, it's 72
So, plug 72 and solve the expression as follows
[tex]let \: \frac{a}{c} - \frac{b}{c} = \frac{a - b}{c} \\ b = \frac{32 - 27}{72} = \frac{5}{72} [/tex]
Hope it helps!