The price elasticity of demand of the pen will be -0.2.
How to compute the elasticity?The demand and supply schedule will be:
Price Qd. Qs
$10. 250. 100
$20. 200. 90
$30. 180. 80
The price elasticity of demand from $1 to $2 will be:
= Percentage change in quantity demanded/percentage change in price
Percentage change in quantity demanded will be:
= (200 - 250)/250 × 100
= -20%
Percentage change in price will be:
= (20 - 10)/10 × 100
= 100%
Therefore, the elasticity of demand will be:
= -20/100
= - 0.2
The value gotten illustrates an inelastic demand.
In order to increase the total revenue, the price can be reduced as it will lead to more sales.
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Complete question:
Choose any product or service. Create the demand and supply schedule.
Calculate just one PED.
Is the demand elastic or inelastic?
What price change would you recommend to increase TR?
In order to finance furniture for an office in a new retail store, Tools for Schools signs a 80-day simple discount note with a maturity value of $7700. Find the proceeds if the discount rate is 6%.
Based on the number of periods for the simple discount note to reach maturity and the discount rate, the proceeds are $7,598.74.
What are the proceeds?You can solve for the discounted price as:
= Maturity value x discount rate x number of periods
Solving gives:
= 7,700 x (6% / 365) x 80
= $101.26
The proceeds can then be found by subtracting the discounted price from the maturity price.
Solving for the proceeds gives:
= 7,700 - 101.26
= $7,598.74
Based on the simple discount note period, the maturity value, and the discount rate, the proceeds can be found to be $7,598.74.
In conclusion, the proceeds are $7,598.74.
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The guy wire is approximately blank feet long
Answer: The guy wire = 393.4 ft
Step-by-step explanation:
Given images:
Refer to the attachment below (I apologize for the bad writing on the computer)
Given information:
Height of the tower = 175 ft
Height of the wire = 15 ft from the top (Opposite)
Angle with the ground = 24°
Length of wire = Unknown (Hypotenuse)
Determine the trigonometric function:
The primary choice will be the Sine function because the angle is opposite to the height and the wire is the hypotenuse of the system.
Determine the equation:
sin θ = (Opposite) / (Hypotenuse)
sin (24°) = (175 - 15) / (Length)
Simplify value in parenthesis
sin (24°) = (160) / (Length)
Multiply the Length of wire on both sides
sin (24°) * (Length) = (160) / (Length) * (Length)
sin (24°) * (Length) = (160)
Divide sin (24°) on both sides
sin (24°) * (Length) / sin (24°) = (160) / sin (24°)
Length = 160 / sin (24°)
[tex]\Large\boxed{Length~=~393.4~ft}[/tex]
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how many liters of 70% alcohol solution and 20% alcohol solution must be mixed to obtain 20 liters of 60% alcohol solution?
Answer:
16 liters of 70% alcohol
4 liters of 20% alcohol
Step-by-step explanation:
Let x = volume of 70% alcohol and y = volume of 20% alcohol. Since we need total of 20 liters, the first equation is x + y = 20. Next, calculate the amount of alcohol in the 20 liters of 60% alcohol. 60% is equivalent to 0.6, so there is 20*0.6 = 12 liters of alcohol in the 20 liter solution. Therefore the second equation is 0.7x + 0.2y = 12.
x + y = 20
0.7x + 0.2y = 12
2x + 2y = 40
7x + 2y = 120
-5x = -80
x = 16
16 + y = 20
y = 4
Complete the series 44,26,60,34
Answer:
76,42,92,50........
Step-by-step explanation:
Each number is series of product of the digit
11*4=44,
13*2=26,
15*4=60,
17*2=34,
19*4=76,
21*2=42,
23*4=92,
25*2=50,
27*4=108,...
May be this çould help you.
The following table shows the data of a random sample of fish collected from and later released into a lake:
PLEASE ANYBODY HELP FAST I NEED TO KNOW THIS AND IF I DONT SCORE ATLEAST A 60% I WONT PASS PLEASE SOMEONE HALP ILL GIVE BRAINLIEST
Type of Fish Piranha Catfish Trout
Number of fish 120 230 140
How many trout are estimated to be present if a random sample of 5,000 fish is collected from the lake?
The estimated number of trout that is present in a random sample of 5,000 fish is 1429
How to determine the number of trout that are estimated?The table of values is given as:
Type of Fish Piranha Catfish Trout
Number of fish 120 230 140
The proportion of fish that are trout is calculated as:
Trout = 140/(120 + 230 + 140)
Evaluate the sum
Trout = 140/490
Simplify the fraction
Trout = 2/7
The number of trout that is present in a random sample of 5,000 fish is calculated as:
Trout = 2/7 * 5000
Evaluate the product
Trout = 1429
Hence, the estimated number of trout that is present in a random sample of 5,000 fish is 1429
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Which radical expression is equivalent to
[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ a^{\frac{1}{5}}\implies \sqrt[5]{a^1}\implies \sqrt[5]{a}[/tex]
Mo is on a baseball team and hears that a ball thrown at a 45-degree angle from the ground will travel the furthest distance. How should Mo release the ball for the furthest travel distance?
Mo must release this ball approximately halfway between straight-ahead and straight-up because the angle subtended must be 45 degrees with the horizontal axis.
What is distance?Distance can be defined as the amount of ground covered (traveled) by a physical object, regardless of its direction, starting point or ending point.
How should Mo release the ball?In order to achieve the furthest travel distance, Mo must release this ball approximately halfway between straight-ahead and straight-up because the angle subtended must be 45 degrees with the horizontal axis, as shown in the image attached below.
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A line contains the point (4, 5) and has a slope of -2.
Which point is also on the line?
(5,7)
(6,2)
(5,3)
(4.1)
Answer: (5,3)
Step-by-step explanation:
Substituting into point-slope form, the equation of the line is
[tex]y-5=-2(x-4)[/tex]
Which rearranges as follows:
[tex]y-5=-2x+8\\\\y=-2x+13[/tex]
To determine if a point lies on a line, you can see if its coordinates satisfy the equation.
Of all the options, only (5,3) works.
Find two positive numbers whose difference is 9 and whose product is 2950.
The two positive numbers whose difference is 9 and whose product is 2950 are 50 and 59
How to determine the positive numbers?As a general rule, it should be noted that positive numbers are numbers that have their value greater than 0
So, we start by representing the two positive numbers with x and y.
So, we have the following equations
x - y = 9
xy = 2950
Make x the subject in the first equation x - y = 9
x = y + 9
Substitute y + 9 for x in the second equation
(y + 9) * y = 2950
Expand the equation
y^2 + 9y - 2950 = 0
Using a graphing tool, we have the solution of the above equation to be
y = 50
Recall that:
x = 9 + y
So, we have:
x = 9 + 50
Evaluate
x = 59
Hence, the two positive numbers whose difference is 9 and whose product is 2950 are 50 and 59
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Write an equation of the line that passes through a pair of points:
(-3,-1), (2, 2)
y = 3/5 x - 5/4
y = 3/5 x + 4/5
y=3/5 x -4/5
y=-3/5 x + 4/5
Answer:
The equation is y=⅗x+⅘
Step-by-step explanation:
Greetings!First,find the slope of the two pts.
. m=(y₂-y₁)/(x₂-x₁).. substitute values m=(2-(-1))/(2-(-3)... substraction and simplify m=⅗... value of mSecondly, apply the equation formula Which is
y=mx+bSo, we have to solve for b using one of the two points that are given let's just take the second point (2,2) and solve for b.
y=mx+b2=⅗(2)+b...substitute given values2=6/5+b...solve for b subtract 6/5 from both sides2-6/5=6/5-6/5+b⅘=bFinally, substitute all the values on y=mx+b
Thus, y=⅗x+⅘.
Joyce paid $59.50 for an item at the store that was 65 percent off the original price. What was the original price?
Answer:
=91.5384615385
Step-by-step explanation:
(59.5/65)x100= 91.5384615385
Research suggests that students could benefit from later school starting times. A school administrative team is considering a proposal to move the starting time of the local schools one hour later than the current start time. To measure interest in the proposal, members of the team randomly select subjects attending a large high school soccer tournament played on the high school grounds on a Saturday morning. The team finds that 58% of those surveyed support a later high school start time. Which type of bias is most likely to be present in the survey results?
This is undercoverage bias because adults with older children are more likely to be included in the sample.
This is question wording bias because the phrasing of the later start times question may be confusing to some subjects.
This is nonresponse bias because some of those selected may choose to not provide their opinion on later start times.
This is voluntary response bias because vocal supporters of later start times will be more likely to offer their opinion.
The type of bias which is most likely to be present in the survey results is undercoverage bias because adults with older children are more likely to be included in the sample.
ResearchThis is a diligent inquiry or examination to seek or revise facts, principles, theories,or applications. It is used to make an extensive investigation or search for truth in an experiment.
Bias
In statistics, bias is the difference between the expectation of the sample estimator and the true population value, which reduces the representativeness of the estimator by systematically distorting it
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On May 19, Bette Santoro borrowed $3,000 from Resse Bank at a rate of 12 1/2%. The loan is to be repaid on October 8. Assuming the loan is based on exact interest, what's the total interest cost to Bette?
The total interest cost to Bette is $145.89
What is exact interest basis?
Exact interest means that the interest is computed on 365-day per year basis rather than a 360-day per year basis, which is the case with financial institutions.
The first task in this case is to determine the number of days from May 19, when the amount was borrowed till October 8, when loan repayment was effected.
There are 142 days between the two dates, hence, we can compute exact interest on the loan as shown by the below formula:
exact interest=loan principal*number of days the borrowing last/365days *interest rate
loan principal=$3000
number of days the borrowing last=142
interest rate=12.5%(1/2%=0.5%)
Exact interest=$3000*142/365*12.5%
Exact interest=$145.89
The amount would have been different if ordinary interest where the number of days in a year is deemed to be 360, was used instead
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Find the area of this kite
Answer:
26 units^2
Step-by-step explanation:
the area of a kite is (d1 * d2)/2
d1 = 2 + 2 = 4
d2 = 6 + 7 = 13
4 * 13 = 52
52 / 6 = 26
26 units^2 is your answer
Answer: 26
Step-by-step explanation:
Please help me with this question!
Answer:
true, it will always divide the opposite side in halff
Step-by-step explanation:
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
The statement " Any altitude of an equilateral triangle is also a median of the triangle " is true
because if we take altitude from any side of an equilateral triangle to its opposite side. it wil make 90° and by using congruency, the two newly formed truangles will be congruent to each other, hence by using the results of congruency, we can get the two pasrts of the side on which attitude was dropped to be equal.
[tex] \qquad \large \sf {Conclusion} : [/tex]
Yes ! Altitude of an equilateral angle triangle from any side is also a median.
what is 687/4 equal to
Answer: 171.75
Step-by-step explanation:
a basic operation of arithmeticwhere numbers are broken up into equal parts687 will need to be split evenly into 4 groups[tex]687/4 = 171.75[/tex]
Answer:
To find the result we have to divide, in a fraction the numerator is always divided by the denominator and the final result is 171.75
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Slope 0, ordered pair -8, 4
Answer:
Step-by-step explanation:
y-4=0(x+8)
y-4=0
y=4
Answer:
i
Step-by-step explanation:
y-4=0(x+8)
y-4=0
y=4
QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
The central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BD)/18.
Given that BD is diameter of the circle and angle BAC is 100°.
We are required to find the central angle, major arc, minor arc, m BEC, BC.
Angle is basically finding out the intensity of inclination of something on the surface.
In the circle central angles are many like BAC and CAD. We can write CAD as DAC also.
Major arc of a circle is that arc whose length is larger than all other arcs in the circle.
In our circle the major arc is arc BED.
Minor arc of a circle is that arc whose length is smaller.
In our circle the minor arc is arc ADC.
We know that arc's length is 2πr(Θ/360)
In this way BC=2π*(BD/2)*100/360
=(5π*BD)/18
We cannot find angle BEC.
Hence the central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BA)/18.
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Find the volume of the given cylinder.
r=5 ft., h=15 ft.
2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000
Answer:12002/9987
Step-by-step explanation:
A television is identified by the diagonal measurement of the screen. A television has a length of 57-inches and a height of 33 inches. What is the length of the diagonal of the television screen?
Answer: 65.86 inches
Step-by-step explanation:
Length of the hypotenuse (length of diagonal) : a^2 + b^2 = c^2
The length (a)= 57
The height (b) =33
57^2= 3,249
33^3= 1,089
3,249 + 1,089 = c^2
4,338 = c^2
We next square root both sides to find c by itself (length of the diagonal)
[tex]\sqrt{4,338} = c[/tex]
c= 65.8634952...
You can then round to however many decimals are required.
To the hundreds place: 65.86 inches
Which equation has the least steep graph?
O A. y= -1/4x+6
O B. y =-3/4x-9
O C. y = 2x + 1
O D. y=-7x-2
Answer:
y=
[tex] - \frac{1}{4} x + 6[/tex]
Step-by-step explanation:
Standard form of equation of line: y=mx+c
where m = slope
c = y-intercept
Since we know that slope for all equations , we can find the one with the least steep graph.
To find which one is the least steep graph, we find the lowest value in the slope, m. (Ignoring the +/- sign)
In this case, y=
[tex] - \frac{1}{4} x + 6[/tex]
will give the least steep graph as it has the lowest slope value.
J(1)²,
x ≤ 0
x > 0
2²,
Complete the table of values for function f, and then plot the ordered pairs on the graph.
-2
-1
0
1
2
f(x)
=
X
f(x)
Drawing Tools
Select
Point
Open Point
>
O
Click on a tool to begin drawing.
-10
-8
-6
-4
-2
10
8
6
4-
2-
-2
पं
CC
f(x)
Delete
2
4
Undo
6
3
+00
8
Answer:
1/2 - 4, 1/2 2, 2 1/4,
Step-by-step explanation:
1/2, - 4 1/2 2,2,1/4
The table when completed looks like this:
x -2 -1 0 1 2
f(x) 4 2 1 2 4.
We plot these points on the graph: (-2, 4), (-1, 2), (0, 1), (1, 2), (2, 4).
What is a function?A function exists as a relation between a dependent variable (f(x)) and an expression of an independent variable (x), utilized to define the value of a dependent variable from a provided value of an independent variable.
We have been given a function,
[tex]$f(x)=\left \{ {{(1/2)^{x},x\leq 0 } \atop {2^x > 0}} \right.[/tex]
We have to estimate the value of f(x) when x = {-2, -1, 0, 1, 2}
If the values of x ≤ 0, take f(x) = (1/2)ˣ then
f(-2) = (1/2)⁻² = 2² = 4
f(-1) = (1/2)⁻¹ = 2¹ = 2
f(0) = (1/2)⁰ = 1
If the values of x > 0, take f(x) = 2ˣ then
f(1) = 2¹ = 2
f(2) = 2² = 4
The table exists as follows
x -2 -1 0 1 2
f(x) 4 2 1 2 4.
We plot these points on the graph: (-2, 4), (-1, 2), (0, 1), (1, 2), (2, 4).
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01
5. Solve the polynomial by typing it into a graphing calculator and identifying the zeros. Round to the nearest tenth.
5x^4-7x^3-5x^2+5x+1=0
Answer:
-0.8, -0.2, 0.8, 1.6
Step-by-step explanation:
Susie is saving for a new pair of trainers. Every week, she saves £5 of her pocket money
and her mum gives her £3. If the trainers cost £56, how many weeks will it take her to
have enough money to buy them? How much money will she have saved and how much
will her mum have given?
Answer:
7 weeks, £35, and £21.
Step-by-step explanation:
Every week, Suzie saves £5 and gets £3 from her Mum. Altogether, Suzie gets £8 every week. All we need to do is divide 56 by 8, which gives us 7. Suzie will take 7 weeks to collect enough money. To find out how much she has saved and been given by her mum individually, we need only times these values by 7. 5x7=35, and 3x7=21.
If a b c d and m 2 is increased by 20 degrees how must m 3 be changed to keep the segments parallel?
The slope of another line is changed to 20 degree to keep the segments parallel.
According to the statement
We have given that the If ac is parallel to bd and m <5 is decreased by 20 degrees And we have to find that the how must m <2 be changed to keep the lines parallel.
So, For this purpose,
We know that the Slope or gradient of a line is a number that describes both the direction and the steepness of the line.
And here
The slopes of two lines will only same when these lines are parallel.
In other words, Only parallel lines have a same slope.
So, if slope of one line is decreased by 20 degree then we have to kept these line parallel. Then we have to decrease the slope of other line by 30 degree also.
So, The slope of another line is changed to 20 degree to keep the segments parallel.
Disclaimer: This question was incomplete. Please find the full content below.
Question:
If ac is parallel to bd and m <5 is decreased by 20 degrees how must m <2 be changed to keep the lines parallel?
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QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
WILL GIVE BRAINLIEST FOR ACCURATE ANWSER
The central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BD)/18.
Given that BD is diameter of the circle and angle BAC is 100°.
We are required to find the central angle, major arc, minor arc, m BEC, BC.
Angle is basically finding out the intensity of inclination of something on the surface.
In the circle central angles are many like BAC and CAD. We can write CAD as DAC also.
Major arc of a circle is that arc whose length is larger than all other arcs in the circle.
In our circle the major arc is arc BED.
Minor arc of a circle is that arc whose length is smaller.
In our circle the minor arc is arc ADC.
We know that arc's length is 2πr(Θ/360)
In this way BC=2π*(BD/2)*100/360
=(5π*BD)/18
We cannot find angle BEC.
Hence the central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BA)/18.
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How many numbers are in the list 433, 429, 425, ... -103, -107?
Answer:
135
Step-by-step explanation:
The number is in descending order by 4.Then add the first and last number i.e.
433+107===> 540
divide 540 by 4
540/4
= 135
Answer:
134
Step-by-step explanation:
-107/4 = -26.75
429/4 = 107.25
107.25 - (-26.75)
107.25 + 26.75 = 134
evaluate b-(-1/8)+c where b=2 and c=-7/4
Answer: [tex]\Large\boxed{\dfrac{3}{8} }[/tex]
Step-by-step explanation:
Given information
[tex]b=2[/tex]
[tex]c=-\dfrac{7}{4}[/tex]
Given expression
[tex]b-(-\dfrac{1}{8}) +c[/tex]
Substitute values into the expression
[tex]=(2)-(-\dfrac{1}{8}) +(-\dfrac{7}{4} )[/tex]
Convert the fractions into the common denominator
Least Common Multiple (LCM) of 8 and 4 = 8
[tex]=(2)-(-\dfrac{1}{8}) +(-\dfrac{7\times2}{4\times2} )[/tex]
[tex]=(2)-(-\dfrac{1}{8}) +(-\dfrac{14}{8} )[/tex]
Simplify the parenthesis
[tex]=2+\dfrac{1}{8} -\dfrac{14}{8}[/tex]
Simplify by addition
[tex]=\dfrac{16}{8} +\dfrac{1}{8} -\dfrac{14}{8}[/tex]
[tex]=\dfrac{17}{8} -\dfrac{14}{8}[/tex]
Simplify by subtraction
[tex]\Large\boxed{=\dfrac{3}{8} }[/tex]
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I’m really confused on this problem., pls help me!
Answer:
Domain: All Real Numbers
Range: All Real Numbers
Step-by-step explanation:
So the domain of a function can be defined as an interval of x-values, which you can input into the function and get real numbers as an output. Since we have a cube root here, or more specifically an odd nth root, the domain is all real numbers, since cbrt(negative number) will just be a negative number since (negative number * negative number * negative number) = negative number, so there does exist a solution, unlike even nth roots like square root, which is restricted to only positive values inside the radical, otherwise you get non-real solutions.
Now let's look at the range of the function, which can be defined as an interval of y-values which can possibly be outputted by the function.
Since as mentioned before, the cube root isn't limited to a certain interval, and rather all real numbers, the range is also similar, since whenever you have a negative number in the radical, the output will be a negative number, so the range is all real numbers
The answer is A.
As any number can be inputted in place of x and the result, y, will be directly proportional to the inputting value, the domain and range of the function is All Real Numbers.
