A contractor on construction job specified a penalty for delay of completion beyond a certain date as: Rs.200 for the first day, Rs.250 for the second day, Rs300 for the third day and so on. The penalty for each succeeding day being Rs50 more than that of preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days?
Can someone tell me the answer of this??
Answers
Answer:
Rs 27750Step-by-step explanation:
The penalty for each day forms a sequence
200, 250, 300, ...This is an AP with the first term of 200 and common difference of 50
The sum of the first 30 terms is
[tex]S_{30}=30*(a_1+a_{30})/2=15(200+200+29*50) = 27750[/tex]Answer :
Refer to the attachmentAdditional Information :
Arithmetic progression (A.P.) is a sequence in which each term can be found by adding a certain quantity to its preceding termDifference between two consecutive terms is called common differenceProgression means it's a type of sequence in which each term is related to its predecessor and successor.
Related Questions
Sammy is classifying quadrilateral EFGH. How can she use coordinate geometry to determine whether EFGH is a rectangle?
E(7, 10), F(4, 7), G(6, 5), H(9, 8)
Sammy can use the distance formula to show opposite sides are equal and the slope formula to show that consecutive sides have opposite reciprocal slopes.
Sammy can use the distance formula to show opposite are perpendicular and the slope formula to show that consecutive sides are equal.
Sammy can use the distance formula to show that all sides are equal and the slope formula to show that consecutive sides have the same slope.
Sammy can use the distance formula to show that all sides are parallel and the slope formula to show that consecutive sides are equal.
Answers
The true statement about the quadrilateral will be (a) Sammy can use the distance formula to show opposite sides are equal and the slope formula to show that consecutive sides have opposite reciprocal slopes.
How to determine the true statement?The coordinates are given as:
E(7, 10), F(4, 7), G(6, 5), H(9, 8)
To determine if the quadrilateral EFGH is a rectangle, the following statements, must be true.
Opposite sides must be congruent.
Opposite sides must have equal slopes.
Adjacent sides must have opposite reciprocals as their slopes.
Therefore, The above highlight means that the true statement is (a)
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Answer:
A- Sammy can use the distance formula to show opposite sides are equal and the slope formula to show that consecutive sides have opposite reciprocal slopes.
Step-by-step explanation:
can someone please help me with this math problem
Answers
Answer:
I think the correct answer is A
Answer:
A
Step-by-step explanation:
Plot the points on the coordinate plane in order to find out which one is the correct polygon.
In this case, A has all of the correct points and is therefore the correct answer.
Hope this helps!
Please please help me !
Thank you for the help.
Point and brainliest
Answers
1. no
2. no
3. strong
4. positive
this is what i think is right. lmk which is wrong :)
A recipe called for using 5 1/8 cups of flour before baking and another 8 7/9 cups after baking. What is the total amount of flour needed in the recipe?
Answers
Answer: 13 [tex]\frac{65}{72}[/tex]
Step-by-step explanation:
This question is asking us to find the total flour used, so we will add the two amounts together.
5 1/8 + 8 7/9
-
5 + 8 = 13
1/8 + 7/9 = 9/72 + 56/72 = 65/72
-
13 + 65/72 = 13 [tex]\frac{65}{72}[/tex]
The recipe calls for 13 [tex]\frac{65}{72}[/tex] cups of flour.
HELP ASAP.
39 BRAINLY POINTS PLUS BRAINLY USER
Answers
Answer:
1
Step-by-step explanation:
Given:
m = 12 n = 1/4Substitute the values into the expression:
1/2(m - 4) × n
⇒ 1/2(12 - 4) × 1/4
Simplify the expression:
⇒ 1/2(8) × 1/4
⇒ 4 × 1/4
⇒ 4 ÷ 4
⇒ 1 (Option B)
Answer:
D. 1
Step-by-step explanation:
When a is greater than one the parabola ___
Answers
Answer:
parabola is open upwards
7, 10, 13, 23, 36, 55, 67
Pt A
Which of these puts the correct classification of the numbers as prime or composite?
A) Prime: 10, 13, 36, 67
Composite:7, 23, 55
B) Prime:7, 15, 55, 67
Composite:10, 36, 23
C)Prime:10, 36, 55
Composite:7, 13, 23, 67
D) Prime:7, 13, 23, 67
Composite:10, 36, 55
Pt B
Which of these are composite numbers?
A)11 and 12
B)28 and 29
C)31 and 32
D)44 and 45
Answers
Answer:
Pt A: D. Pt B: D
Step-by-step explanation:
You can multiply 5x2 which easily equals 10. 6x6 equals 36 and you cannot multiply anything other than one and itself for 7, 13, 23, or 67. for part B, you can multiply 4x 11 to equal 44 and you can multiply 9x5 to equal 45 so it would be composite
44 and 45 are composite numbers.
What are prime and composite numbers?A prime number has only two factors, itself and one.
A composite number has at least three factors, and sometimes a lot more.
1. Prime:7, 13, 23, 67
Composite:10, 36, 55
As, 7, 13, 23 and 67 have only two factors : one and number itself
and 10, 36, 55 have more than 2 factors like 2.
2. 44 and 45 both have more than 2 factors.
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OMG PLEASE HELP ME THIS WHOEVER DOES YOUR THE BEST AND SMARTEST! I WILL TELL EVERYONE GOOOD THINGS ABT U PLEASE HELPME I NEE THESE NOW!! <3333
Answers
Step-by-step explanation:
12) a Wasabi
13) 1,000
14) x-6=2(y+4) . pls once again check with this as I find none of the option reasonable do ask ur teacher once but anyway nearest is that one
15) 6
Calculate the z-test statistic for a hypothesis test in which the null hypothesis states that the population proportion, p, equals 0.14 if the following sample information is
present
n = 200
x= 31
(Round to two decimal places as needed.)
Z=
Answers
Answer:
The z-test statistic for a hypothesis test in which the null hypothesis states that the population proportion, p, equals 0.14 if the following sample information is present (n = 200; x = 31) is z = .6114.
Step-by-step explanation:
The z-test statistic formula is:
[tex]\displaystyle z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]We are given x = 31 and n = 200, so we can solve for [tex]\hat{p}[/tex] : 31/200 = .155.
The population proportion, [tex]p=.14[/tex], is given in the problem.
We can substitute the known values into the z test statistic formula:
[tex]\displaystyle z = \frac{.155-.14}{\sqrt{\frac{.14(.86)}{200} } }[/tex][tex]\displaystyle z=\frac{.015}{\sqrt {.000602}}[/tex][tex]z=.6114[/tex]The z-test statistic for this problem is z = .6114.
need help with geometry (number 19)
Answers
Answer:
The answer is 65
Step-by-step explanation:
As تھ measure of angles of rectangle is 90
So 90-25 is equal to 65
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEQuestion 2 I need help
Thank youuu
Answers
Answer:
Pls help me with my questions
Step-by-step explanation:
What is the f(3) for:
F (x) = 2x^2 + 5 (x-2)
Answers
18+5
23
That should be it
Solve for x. Round to the tenths place. Can somebody help
Answers
Answer:
12.12
Step-by-step explanation:
7^2+x^2=14^2, as by the Pythagorean theorem.
49+x^2=196,
x^2=147,
square root of 147;
it's close to 144,
thus, 12.12
A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a significance level for both parts. Treatment Placebo n s Question content area bottom Part 1 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. : : B. : : C. : : D. : : Part 2 The test statistic, t, is enter your response here. (Round to two decimal places as needed.) Part 3 The P-value is enter your response here. (Round to three decimal places as needed.) Part 4 State the conclusion for the test. A. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. B. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. C. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. D. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. Part 5 b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. 10.24 2.048 (Round to three decimal places as needed.)
Answers
There's sufficient evidence to reject the null hypothesis between the treatment group and placebo group.
How to illustrate the hypothesis?From the complete information, the value of the test statistic is -1.76 and the p-value is 0.085.
In this case, there's sufficient evidence to reject the null hypothesis. Therefore, there's evidence to warrant the rejection of the claim that the two samples are from population with same mean.
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A factory produces 72 pairs of
legging 6 minutes. At the same rate,how many pairs of leggings will the factory produce in 8 minutes?
Answers
Answer:
96 pairs
Step-by-step explanation:
72 pairs / 6 minutes will simplify to 12 pairs per minute.
Then (12 pairs / minute)(8 minutes) =
96 pairs
future value of 10% savings from earnings of 36000 earns 6.25% annual interest compounded quarterly for 15 years
Answers
without further ado
10% of 36000 is simply 3600, we chopped a "0" off of it hmmm, ok so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3600\\ r=rate\to 6.25\%\to \frac{6.25}{100}\dotfill &0.0625\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &15 \end{cases} \\\\\\ A=3600\left(1+\frac{0.0625}{4}\right)^{4\cdot 15}\implies A=3600(1.015625)^{60}\implies A\approx 9126.53[/tex]
Please help asap !!!!
Answers
C
Step-by-step explanation:
You do 5 - 2 = 3 and -y = -x so the answer would be C.
PLEASE HELP NOW I WILL FOLLOW AND GIVE BRAINLIST
Answers
Answer:
[tex] \frac{2}{5} [/tex]
Step-by-step explanation:
[tex] \frac{4}{10} = \frac{2}{5} [/tex]
good luck
Answer/Step-by-step explanation:
At least, meaning 2 1/2 or more
Now, I'm not exactly sure how they want it written so it could be two answers.
4/10
OR
4
Hope this helps :)
PLS ANSWER THIS QUESTION
I WILL MARK BRAINLIEST FASTTTTT
Answers
charlie stands at point A while holding the control line attached to a model airplane. the plane travels 120 feet counterclockwise from point b to point c about how long is the control line
Answers
The counterclockwise direction of the airplane implies that it moves in the opposite direction
The control line could be 60 feet long
How to determine the length of the control line?The question is incomplete, as the figure that represents the control line and other parameters are not given.
However, a possible solution is as follows.
From the question, we understand that the airplane travels 120 feet counterclockwise.
The counterclockwise direction could represent that points B and C are on either sides of point A, such that:
AB = AC = 0.5* BC
So, we have
AB = 0.5* 120
AB = 60 feet
Hence, the control line could be 60 feet long
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mollie wants to measure the capacity of the kitchen sink she has a 1 L container and a 10 mL container which should she use
Answers
Answer:
1 L
Step-by-step explanation:
Kitchen sinks are pretty large in terms of volume in Liters
use the 1 L container
5
Type the correct answer in the box. Use numerals instead of words.
New York City has a population of approximately 8.8 million people with a population density of approximately 29,300 people per square mi
What is the approximate area of New York City to the nearest square mile?
The area of New York City is approximately
square miles.
Answers
Answer:
300
Step-by-step explanation:
y = x^2 + 8x + 10
Vertex:
Axis of Symmetry:
Y-intercept:
Answers
Vertex: (-4, -6)
Axis of symmetry: x= -4
Y-intercept: y=10
Have a great day
The vertex of the function is (-4, -6), the axis of symmetry is x= -4 and the y-intercept is (0, 10).
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is y=x²+8x+10.
Rewrite in vertex form and use this form to find the vertex (h, k).
(-4, -6)
The axis of symmetry is x= -4
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (-4+√6, 0), (-4-√6, 0)
y-intercept(s): (0, 10)
Therefore, the y-intercept is (0, 10).
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i will give brainliest please help
Answers
A number less than 5
⇒ x < 5
When all the numbers in the spinner are substituted in the inequality, we can see that only three numbers are less than 5.
⇒ 2, 3, and 4
Reviewing the formula to calculate probability:[tex]\dfrac{\text{Total numbers less than 5}}{\text{Total numbers in the spinner}} = \text{Probabilty of getting less than 5}[/tex]
Substituting the values in the formula:[tex]\dfrac{\text{Total numbers less than 5}}{\text{Total numbers in the spinner}} = \text{Probabilty of getting less than 5}[/tex]
[tex]\bullet \ \text{Total numbers less than five: 3}[/tex]
[tex]\bullet\ \text{Total numbers in the spinner} = 4[/tex]
[tex]\implies \boxed{\dfrac{3}{\text{4}} = \text{Probabilty of getting less than 5}}[/tex]
Final answer:Option B is correct.
if books cost $14.99, and there is 5% sales tax, how much is the sales tax on the books?
Answers
Answer:
0.7495 or 0.75 sales tax
Step-by-step explanation:
5% of 14.99 is 0.7495. rounded to the nearest tenth it is 0.75
2/(p+1)- 1/(p+1)+4/(1-p^2)
Answers
Answer:
(5-p)/(p+1) (1-p)
Step-by-step explanation:
2/(p+1) -1/(p+1)+4/(1+p)(1-p)
{2(1-p)-(1-p)+4}/( p+1) (1-p)
on solving we get
(5-p)/(p+1 )(1-p)
This figure represents a large storage container that will be built out of a new durable material. The storage company needs 8 of these containers.
How much of the new material is needed to build all 8 containers?
Enter your answer in the box.
ft²
Right pentagonal prism. The height of the prism is 8 ft. The base has two pairs of parallel sides. The sides are consecutively labeled 5 ft, 3 ft, 5 ft, 2 ft, and 7 ft. The parallel sides are those labeled 3 ft and 7 ft, and 5 ft and 2 ft.
Answers
The amount of material needed for the containers is its surface area
The amount of material needed for the 8 containers using the assumed parameters is 3080 square feet
How to determine the amount of material?The question is incomplete, as the figure of the right pentagonal prism is not given.
So, I will provide a general explanation.
The surface area (SA) of a right pentagonal prism is:
SA = 5b(a + h)
Where:
b represents the base lengtha represents the apothemh represents the heightFrom the question, we have the height of the prism to be 8 ft.
Assume that:
a = 3 ft and b = 7 ft
The equation becomes
SA = 5 * 7 * (3 + 8)
Evaluate the product
SA = 385
The amount of material needed for the 8 containers would be:
Amount = 8 * 385 square feet
Amount = 3080 square feet
Hence, the amount of material needed for the 8 containers using the assumed parameters is 3080 square feet
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Answer:
The answer is 1872
Step-by-step explanation:
For the point P(17,22) and Q(22,27), find the distance d(P,Q) and the coordinates of the midpoint M of the
segment PQ.
Answers
Step-by-step explanation:
[tex]x \: component = \frac{17 + 22}{2} \\ = 19.5 \\ y \: component = \frac{22 + 27}{2} \\ = 24.5 \\ (19.5...24.5)[/tex]
How can you find Find critical numbers for f(x) = x3 + 6x2 − 15x
Answers
Answer:
[tex]x[/tex]-5, and [tex]x[/tex]1
Step-by-step explanation:
f ([tex]x[/tex]) = 3[tex]x{2}[/tex] + 12[tex]x[/tex] - 15
0= 3([tex]x[/tex][tex]2[/tex] + 4[tex]x[/tex] -5)
0= 3([tex]x[/tex] + 5) ( [tex]x[/tex] - 1)
[[tex]x[/tex]+5=0] [tex]x[/tex]= -5
[[tex]x[/tex]-1=0] [tex]x[/tex]= 1
hope it helped <3
8. An angle that contains 126° 32' is a/an Angle
angle.
A. straight
B. obtuse
C. right
D. acute
Answers
Answer:
B.
Step-by-step explanation:
A straight angle is exactly 180°
An Obtuse angle is more than 90°, but less than 180.
A right angle is 90°
An acute angle is less than 90°
