Based on the decrease in the quantity demanded and the increase in income, the true statement is The income elasticity of demand is -5, and the good is inferior.
How to find the income elasticity?The income elasticity of a good can be found by the formula:
= Change in quantity demanded / Change in income
= -10% / 2%
= - 5
When the income elasticity of demand for a good is negative, it means that it is an inferior good. This is because people only buy them because its what they can afford but if income rises, people stop buying them.
Find out more on income elasticity at https://brainly.com/question/28766889
#SPJ1
What is 3/5 divided 2/3
When dividing two fractions that is 3/5 by 2/3 then we get the answer as 9/10 = 0.9.
Explanation:Steps to divide fractions:
The first step in dividing fractions is to find the reciprocal of the second fraction (reverse the numerator and denominator). Then, multiply the numerators. Then multiply the two denominators together. Finally, if necessary, simplify the fractions.Given two fractions 3/5 and 2/3,
to find 3/5 divided by 2/3 then,
Determine the reciprocal of the fraction 2/3:3/2 is the reciprocal of fraction 2/3.
The equivalent fraction for 3/5 divided by 2/3 is obtained by multiplying 3/5 by the reciprocal of 2/3.
= 3/5 x 3/2
= 9/10
= 0.9
Hence,
As a fraction, 3/5 divided by 2/3 equals 9/10 = 0.9
To learn more about dividing fractions refer to :
https://brainly.com/question/1622425
#SPJ13
Let U={1, 2, 3, 4, 5, 6, 7}, A={4, 5, 6, 7}, and B={3, 4, 7}. Find the set A' ∩ B'.
The intersection between the complements of A and B is:
A' ∩ B' = {1, 2}
How to find the intersection?
We have the sets:
A={4, 5, 6, 7}
B={3, 4, 7}
And we want to find the intersection between the complements, where the complements are all the elements that are in the universal set and not are in the given sets, so:
A' = {1, 2, 3}
B'= {1, 2, 5, 6}
The intersection between two sets is the set of the common elements, so we have:
A' ∩ B' = {1, 2}
Learn more about sets:
https://brainly.com/question/2166579
#SPJ1
Mrs. Taylor caught 6 bats in her attic in 12
minutes. How long would it take to catch 5 bats?
Please help!! What is the solution if the equation below
The answer to the given equation question is Option C - 2
What does square root mean ?A square root of a number x is a number y such that y2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x.[1] For example, 4 and −4 are square roots of 16, because 4^2 = (−4)^2 = 16.
Given : [tex]\frac{\sqrt{2x} }{\sqrt{x-1} }[/tex] = 2
On taking square roots on both sides we get :
=> [tex]\frac{2x}{x-1}[/tex] = 2
On cross multiplying
=> 2x = 2x - 2
After the calculations we get the solution as 2
Thus the correct answer is option c - 2 .
To know more about square root problems visit:
https://brainly.com/question/1387049
#SPJ13
write the quotient in the standard form a+bi.9/3-i
You’re getting ready to fill up your halloween candy jar that weighs 2.5 pounds when empty. On Halloween night you only go out in the neighborhoods who give out the large sized candy bars. Each large candy bar you collect weighs 0.5 pounds
The number of times that the candy jar is more than that of the neighborhood is 5 times.
How to illustrate the information?From the information, the candy jar weighs 2.5 pounds when empty. and when you only go out in the neighborhoods who give out the large sized candy bars that weighs 0.5 pounds.
The number of times that yours is higher will be the weight of candy bar that you have divided by the weight of that of your neighborhood
= You candy weight / Neighborhood weight
= 2.5 / 0.5
= 5
Yours is 5 times more. This illustrates the concept of division.
The complete question is written below.
Learn more about numbers on:
brainly.com/question/11418015
#SPJ1
You’re getting ready to fill up your halloween candy jar that weighs 2.5 pounds when empty. On Halloween night you only go out in the neighborhoods who give out the large sized candy bars. Each large candy bar you collect weighs 0.5 pounds. How many times is your candy jar more than that of the. neighborhood?
I need help solving this practice, I will send an additional picture of the actual problem itself
The multiplicities of the zeros are how many times that factor appeared in the factored form of a polynomial function.
If the multiplicities are even, then they are tangent to the x-axis
So, the graph is tangent to x at -6
If the multiplicities are odd, then they cross while hugging the x-axis.
So, the graph of the function crosses while hugging the X-axis at 1
And the graph crosses through at the values with no multiplicities, which are 0 and 4
So, the answers are:
a) Is tangent to
b) Crosses straight through
C) Crosses through whle hugging
d) Crosses straight through
Evaluate the expression when c= -5.
c^2+ 6c-9
1+1dynzg sfbstjstjstjj
equation
[tex]\frac{2342424}{456546456}+\sqrt[34535345]{4r3535}-\sin 453\sin ^{-1}43535\cos ^{-1}5345678^{76867}\int ^{\infty}_086\int 6878\sqrt[7686786]{78767\text{ }e^{655757\begin{cases}x=75665 \\ y=5345346363\gamma\end{cases}}}[/tex]Two angles are supplementary if the sum of their measures is 18
Let:
x = 1st angle
y = 2nd angle
Since they are supplementary:
[tex]x+y=180_{\text{ }}(1)[/tex]One is 54 more than 1/2 of the other, so:
[tex]y=\frac{1}{2}x+54_{\text{ }}(2)[/tex]Replace (2) into (1):
[tex]\begin{gathered} x+\frac{1}{2}x+54=180 \\ \frac{3}{2}x=180-54 \\ \frac{3}{2}x=126 \\ x=\frac{2}{3}\cdot126 \\ x=84 \end{gathered}[/tex]Replace x into (2):
[tex]\begin{gathered} y=\frac{1}{2}(84)+54 \\ y=42+54 \\ y=96 \end{gathered}[/tex]Answer:
The two angles are 84⁰ and 96⁰
On a standardized test, the mean is 38 and the standard
deviation is 4.5. Approximately what percent of the scores
fall in the range 29-47?
The percentage of scores that fall in the range 29-47 is of 95%.
Empirical RuleThe Empirical Rule states that, for a normally distributed random variable:
The percentage of scores within one standard deviation of the mean is 68%.The percentage of scores within two standard deviations of the mean is 95%.The percentage of scores within three standard deviations of the mean is 99.7%.In the context of this problem, the mean and the standard deviation of scores are given as follows:
Mean = 38.Standard deviation = 4.5.Hence the range of 29 to 47 is within two standard deviations of the mean, as 38 - 2 x 4.5 = 29 and 38 + 2 x 4.5 = 47, meaning that the percentage of scores that fall in the range is of 95%.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
#SPJ1
If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability of getting two queens and two kings.
If you are dealt 4 cards from a shuffled deck of 52 cards, the probability of getting two queens and two kings is: 0.000133.
ProbabilityNumber of ways to get two of the four queens = 4C2 = 6 ways
Number of ways to get two of the four kings = 4C2 = 6 ways
Number of ways to get none of the deck = 48C0 = 1 way
Hence,
Number of ways to get four cards = 6 x 6 x 1
Number of ways to get four cards = 36 ways
Number of ways 4 cards can be chosen from 52 cards = 52C4 = 270725 ways
So,
Probability = 36 ways / 270725 ways
Probability = 0.0001329
Probability = 0.000133 (Approximately)
Therefore the probability is 0.000133.
Learn more about probability here: https://brainly.com/question/24756209
#SPJ1
A population has parameters μ=164.8 and σ=72.8. You intend to draw a random sample of size n=160.
The value of mz is 164.8 and sigma z is 5.755 for the given sample.
What is the sample standard deviation?
The dispersion of data distribution is measured by standard deviation. The average distance between every data point is measured.Yet if the data is being treated as a population unto itself or as a sample of a broader population will affect the standard deviation calculation formula.We divide by the N number of data points if the data is being seen as a population on its own.If the data come from a sample of a larger population, then divide by n-1n1n, or n minus 1, which is one less than that of the number of points in the sample.Given that,
m=164.8
sigma=72.8
n=160
The mean of the sample means' distribution
mz=m
mz=164.8
The standard deviation of the sample mean's distribution
sigma z= sigma/√n
sigma z= 72.8/√160
=5.755
The value of mz is 164.8 and sigma z is 5.755 for the given sample.
To learn more about standard deviation visit:
https://brainly.com/question/475676
#SPJ1
Estimate the sum or difference 9.84-1.86
Answer: The estimated sum or difference would be 8.00. If not estimated it would be 7.98.
Step-by-step explanation:
If we differentiate the given numbers from 9.84-1.86, the answer will be 7.98 exactly.
As 7.98 is closer to 8.00, we can easily estimate the number to be 8.00.
Write 7,250,000,000 in scientific notation.
Answer: 7.25 ×10^9
There are 9 digits after the first number (7), so 10 is raised to the power of 9
Find the area of this figure. [?] square meters 6 m 6 m 12 m 9 m
The area of this figure is 89 m².
What is the area of a rectangle?
The territory a rectangle occupies inside its four sides or limits is known as its area. A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.
Mathematically, Area of a rectangle = length*breadth = l*b -(i)
What is the area of a triangle?
The territory a triangle occupies inside its three sides or limits is known as its area. A triangle's sides determine its area. In essence, the length and base of the rectangle multiplied together with 0.5 gives the area of the triangle.
Mathematically, Area of a triangle = 0.5*height*base = 0.5*h*b -(ii)
r
Given, the length of the rectangle = l = 8 m
The breadth of the rectangle = b = 13 m
Area of the rectangle = 8*13 = 104 m² [Using (i)]
Also, the base of the triangle = b = 13 - 4 -4 = 5 m
The height of the rectangle = h = 6 m
Area of the triangle = 0.5*5*6 = 15 m²
Therefore, area of the shaded region = Area of the rectangle - Area of the triangle = (104 - 15) = 89 m²
To learn more about this, tap on the link below:
https://brainly.com/question/1297097
#SPJ9
Start of QuestionsCompound Interest: Suppose $1,100 is invested in a savings account that pays 3% compounded semiannually, how much is in the account at the end of 1 1/2 years?There is $ ? in the account after 1 1/2 years.
Explanation:
The amount in the account can be calculated as:
[tex]A=P(1+r)^t_{}[/tex]Where P is the initial amount, r is the interest rate and t is the number of times the interest is compound. In 1 1/2 years, the interest is compound 3 times because it is compound every 6 months.
Then, replacing P by 1,100, r by 3% = 0.03 and t by 3, we get:
[tex]\begin{gathered} A=1100(1+0.03)^3 \\ A=1100(1.03)^3 \\ A=1100(1.0927) \\ A=1201.99 \end{gathered}[/tex]therefore, there is $1202 in the account after 1 1/2 years.
I am unsure how to set this problem up so I can begin solving, can you please assist me?
Since it is a right triangle, we can apply trigonometric functions:
Sin a = opposite side / hypotenuse
Where:
a = angle = 25°
Opposite side = x
Hypotenuse = 30
Replacing:
Sin 25 = x / 30
Solve for x :
Sin 25 (30) = x
x = 12.68
Jayson buys a car and pays by installments. Each installment is $567 per month. After 48 months Jayson owes $1,250. What was the total price of the vehicle?
10 points
use an area model and standerd multiplecation!
The total price of the vehicle to Jayson is $28,466 since he has paid $567 for 48 months and still owes $1,250.
How is the total price determined?We can use the mathematical operations of multiplication and addition to compute the car's total price.
Installment payment per month = $567
The total installments paid for 48 months = $27,216 ($567 x 48)
The amount Jayson still owes = $1,250
Total price = $28,466 ($27,216 + $1,250)
Thus, Jayson would pay a total price of $28,466 for the vehicle.
Learn more about determining the total price at https://brainly.com/question/242775
#SPJ1
the graph y = sin x(dashed line) has been translated to give graph G
The equation of the translated function G(x) is given by:
G(x) = sin(x) + 2.
What is a translation?There are many transformations that can happen to the graph of a function, such as translation, stretch, compression, rotation, reflection, dilation and so on.
In the context of this problem, the transformation was a translation, in which the graph of the function is moved either left, right, up or down.
The parent function in this problem is:
y = sin(x).
From the given image, the function y, given by the dashed line, was shifted up 2 units to generate the function g(x), hence the definition of function g(x) is given by:
g(x) = sin(x) + 2.
The addition by 2 in the range of the function represents the translation up 2 units of the function.
What is the missing information?The graph is missing and is given by the image at the end of the answer.
More can be learned about translations at https://brainly.com/question/28174785
#SPJ1
Use the distributive property to simplify the expression:
3(2p+5)-10
PLEASE HELP ASAP I'LL GIVE 100 POINTS AND BRAINY IF YOU CAN HELP ME!!!!!!!!!!!!
Answer:
6p+5
Step-by-step explanation:
3(2p+5)−10
Use the distributive property to multiply 3 by 2p+5.
6p+15−10
Subtract 10 from 15 to get 5.
6p+5
the price of a t-shirt is $20, but you have a coupon that lowers the price by 10%. What is the price of the t-shirt after using the coupon?a.$2b.$10c.$18d.$20
ANSWER
[tex]C\text{. }\$18[/tex]EXPLANATION
To find the price of the t-shirt after using the coupon, find 10% of the price of the shirt and subtract that from the price of the shirt.
10% of the price is:
[tex]\begin{gathered} \frac{10}{100}*20 \\ \\ \$2 \end{gathered}[/tex]Now, subtract that from the price of the shirt. That is:
[tex]\begin{gathered} \$20-\$2 \\ \\ \Rightarrow\$18 \end{gathered}[/tex]That is the price of the shirt after the coupon is used. The answer is option C.
You invest $1,000 in each of two accounts. Account A earns simple interest at a rate of 2.42% over 4 years. Account B earns simple interest at a rate of 2.42% over 24 months. Find the interest earned by each account. How does the interest earned by the two accounts compare?
ANSWER
Account A = $96.80
Account B = $48.40
EXPLANATION
We have that in the two accounts A and B, $1000 is invested.
We want to find the simple interest earned by the two accounts. To do this, we apply the formula for Simple Interest:
[tex]SI=\frac{P\cdot R\cdot T}{100}[/tex]where P = principal (amount invested)
R = rate
T = amount of time
ACCOUNT A
It earns simple interest at a rate of 2.42% over 4 years.
Therefore, the simple interest earned is:
[tex]\begin{gathered} SI=\frac{1000\cdot2.42\cdot4}{100} \\ SI=\text{ \$96.8}0 \end{gathered}[/tex]ACCOUNT B
It earns simple interest at a rate of 2.42% over 24 months. For this, we have to divide by 12 months (since the formula is originally for year).
Therefore, the simple interest earned is:
[tex]\begin{gathered} SI=\frac{1000\cdot2.42\cdot24}{100\cdot12} \\ SI=\text{ \$48.40} \end{gathered}[/tex]We have calculated the Simple Interest for both accounts.
We see that the simple interest for Account A is twice that of Account B. This is simply because Account A earned for twice the amount of time that Account B earned for.
Given: - 7(x + 2) + 4x = 6(2x - 4) Prove: x = 2/3
Answer:
2/3 = x
Step-by-step explanation:
- 7 ( x + 2 ) + 4x = 6 ( 2x - 4 )
First, solve the brackets.
-7x - 14 + 4x = 12x - 24
Combine like terms.
-3x - 14 = 12x - 24
Add 3x to both sides.
-14 = 12x + 3x - 24
-14 = 15x - 24
Add 24 to both sides.
-14 + 24 = 15x
10 = 15x
Divide both sides by 15.
10/15 = x
To simplify the answer divide numerator and denominator by 5.
2/3 = x
what is the coordinate of the midpoint of KL write your answer as an integer or a decimal or mixed number in simplest form
(-14.5, 0)
Explanations:
The formula for finding the midpoint of two coordinates is expressed as;
[tex]m(x,y)=(\frac{x_{1+}x_2}{2},\frac{y_1+y_2}{2})[/tex]For the given coordinates of K and L, since there is no y-axis, hence:
K = (-16, 0)
L = (-13, 0)
Get the midpoint of KL;
[tex]\begin{gathered} m_{kl}=(\frac{-16+(-13)}{2},\frac{0+0}{2}) \\ m_{kl}=(\frac{-16-13}{2},\frac{0}{2}) \\ m_{kl}=(-\frac{29}{2},0) \\ m_{kl}=(-14.5,0) \end{gathered}[/tex]Hence the midpoint of KL will be at (-14.5, 0)
URGENT!! ILL GIVE
BRAINLIEST!!!!! AND 100
POINTS!!!!!
How would we find the value of x?
Graph the circle x^2+y^2=9
Given:
A circle with the equation:
[tex]x^2+y^2\text{ = 9}[/tex]Solution
Recall that the general equation of a circle is of the form:
[tex](x-a)^2+(y-b)^2=r^2[/tex]Where (a, b) are coordinates of the center and r is the radius of the circle.
Re-writing the given equation using the general form gives us:
[tex](x-0)^2+(y-0)^2=3^2[/tex]Hence, the center and radius of the circle are (0, 0) and 3 respectively.
The graph of the equation is shown below:
The graph is obtained by first locating the center of the circle (0,0) on the graph. Then, we measure 3 units from the center to construct the required circle.
12 eggs for3 dollars how much does per egg cost
4. Which expression represents the area of arectangle where the length is 9 and thewidth is 3x - 8.A. 27x - 8B. 24x - 16C. 27x - 72D. 12x - 8
Area of a rectangle = length x width
A = 9 (3x-8)
A = 9(3x) + 9(-8)
A= 27x - 72
Hello it’s a 4 part question I just need help however I can only post one picture at a time
Answer:
Part a:
0% 3000
5% 3646.51
10% 5247.02
20% 6220.8
Explanation:
Part a:
We need to evaluate the function in the r values given:
If the rate is 0% then r = 0
[tex]S=3000(1+0)^4=3000[/tex]If the rate is 5%, then r = 0.05
[tex]S=3,000(1+0.05)^4\approx3646.51[/tex]If the rate is 10%, then r = 0.1
[tex]S=3,000(1+0.1)^4=4392.3[/tex]If the rate is 15%, then r = 0.15
[tex]S=3,000(1+0.15)^4=5247.02[/tex]If the rate is 20%, then r = 0.2
[tex]S=3,000(1+0.2)^4=6220.8[/tex]