The expected rate of inflation is 0.068627 or 6.86%.
Real Rate of return:
The real rate of return defines the actual amount of return earned by an investment. Inflation reduces the real rate of return, so investor tries to invest in securities that could fetch more return than inflation.
The general formula of the inflation rate is:
[tex]IR=\frac{1+R_1}{1+R_2} -1[/tex]
Given information is that
Nominal rate of return(R1)=9%
Real rate of return(R2)=2%
Now substitute these values in the above formula:
[tex]IR=\frac{1+R_1}{1+R_2} -1\\\\IR=\frac{1+0.09}{1+0.02} -1[/tex]
IR=1.068627-1
IR=0.068627 or 6.86%
To know more about the Real Rate of return:
https://brainly.com/question/20597500
#SPJ4
A baker will supply 22 jumbo cinnamon rolls to a cafe at a price of $3.46 each. If she is offered $3.16, then she will supply 2 fewer rolls to the cafe. The cafe's demand for jumbo cinnamon rolls is given by p = D(x) = -0.25x + 6.56. What is the equilibrium point?
If a baker will supply 22 jumbo cinnamon rolls to a cafe at a price of $3.46 each. the equilibrium point is: 20 rolls and the price is $4.86.
How to find the price?The equilibrium point is where the supply and demand curves intersect, representing the price and quantity where the market is in balance.
Let's call the number of rolls the baker supplies x.
At the original price of $3.46 each, she supplies 22 rolls.
When offered $3.16, she will supply 2 fewer rolls, so she supplies x = 22 - 2 = 20 rolls.
We can use the demand equation to find the corresponding quantity demanded for each price:
p = D(x) = -0.25x + 6.56
D(22) = -0.25 * 22 + 6.56 = 4.56
D(20) = -0.25 * 20 + 6.56 = 4.86
The intersection of the two points (22, 4.56) and (20, 4.86) gives us the market equilibrium quantity and price.
So the equilibrium point is:
x = 20 rolls
p = $4.86 each.
Learn more about price here:https://brainly.com/question/1153322
#SPJ1
need help on this question asap!
Answer:
≈ +1
Step-by-step explanation:
Firstly, the r value, or the correlation coefficient, would be positive because the correlation is positive. The set of points are moving from bottom to top.
It would be close if not exactly to 1 because the closer the set of points are all clustered closely around or on one singe line, the closer it is to 1. In this case, all points seem to be on one single line, suggesting that it has a perfect correlation of 1.
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.9
years with a standard deviation of 0.8
years.
Step 2 of 2 : If a sampling distribution is created using samples of the ages at which 68
children begin reading, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.
The standard deviation of the sampling distribution of sample means will be 0.097.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
Assume that an investigation of primary school understudies reports that the mean age at which youngsters start perusing is 5.9 years with a standard deviation of 0.8 years.
The standard deviation of the sampling distribution of sample means is given as,
⇒ 0.8 / √68
⇒ 0.8 / 8.246
⇒ 0.097
The standard deviation of the sampling distribution of sample means will be 0.097.
More about the normal distribution link is given below.
https://brainly.com/question/12421652
#SPJ1
Suppose that 18 inches of wire cost 72 cents At the same rate, how much (in cents) will 13 inches of wire cost?
So right now in the the given question we use the proportional method
In this case the proportion used is inverse
What is Inverse Proportion ?In direct proportion, if one quantity is increased or decreased then the other quantity increases or decreases, respectively. But in indirect or inverse proportion, if one quantity increases then other quantity decreases and vice-versa.
Eg: As the variable y decreases the variable x will also decrease
When we apply the given values into a fraction we get
[tex]\frac{18}{72} = \frac{13}{x}[/tex]
Cross Multiplying we get,
[tex]18x = 72X13[/tex]
[tex]18x = 936[/tex]
[tex]x = \frac{936}{18}[/tex]
[tex]x = 52[/tex]
Hence, 13 inches of wire costs 52 cents
Pizza sales increase by 8% this year then decrease by 4% the following year then your sales are up by what %?
The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Pizza sales increase by 8% this year then decrease by 4%. Then we have
P = [1 - (1 + 0.08) x (1 - 0.04)] x 100
P = [1 - 1.08 x 0.96] x 100
P = [1 - 1.0368] x 100
P = [1 - (1 + 0.0368)] x 100
P = 0.0368 x 100
P = 3.68%
The percentage that your sales are up will be 3.68%.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ1
A ramp is designed with the profile of a right triangle.
The measure of one acute angle is 2 times the measure
of the other acute angle. Find the measure of each
acute angle.
The measure of each acute angle [tex]30^{0}[/tex]
What is the acute angle?Angles that are less than 90° are considered acute, and a protractor can be used to measure these angles. Acute, Obtuse, Right, Straight, Reflex, and Full Rotation are the names of the basic angles. Two rays are joined at their ends to create the geometric shape known as an angle. Typically, angles are expressed in terms of degrees. A triangle that has each angle less than 90 degrees is said to be acute.Triangles are not sharp even when one of their angles is 90 degrees. The fact that all angles (60°) in an equilateral triangle are less than 90° ensures that it is always sharp.If you need to see the algebra, the acute angles in a right triangle are complementary, adding to 90 degrees:
x + 2x = 90
3x = 90
x = 30
To learn more about acute angle refer to:
https://brainly.com/question/13364423
#SPJ1
f(x) = 2x + 7 and g(x) = 3x − 2, find f(g((6))
Answer:
To find f(g(6)), we need to first find g(6) by plugging 6 into the function g(x) and solving for the output:
g(6) = 3x - 2 = 3 * 6 - 2 = 16
Next, we plug the result of g(6), which is 16, into the function f(x) and solve for the final output:
f(g(6)) = f(16) = 2x + 7 = 2 * 16 + 7 = 31
So f(g(6)) = 31.
What is the tangent of the angle shown on the figure?
The tangent of the given angle shown above would be = 1.43. That is option C.
How to calculate the tangent of an angle?The formula that is used to calculate the tangent of the given angle ;
Tan θ = opposite/adjacent
Where the opposite = 60ft
the adjacent = 42ft
Tan θ = 60/42
= 1.43°
Learn more about tangent here:
https://brainly.com/question/28152353
#SPJ1
3. Using the item below, calculate how much you would pay for the jeans
with the extra 60% off code and sales tax of 10.25% (Chicago) included.
Show your work.
High Rise Kick Fit Jeans with Washwell
***** 67
$29.99
Extra 60% Off With Code SALE
ise of the
Answer:
We start by calculating the discount amount for the extra 60% off with code SALE:
$29.99 * 60% = $17.99
Then we calculate the new price of the jeans after applying the discount:
$29.99 - $17.99 = $12
Next, we calculate the sales tax of 10.25% for the discounted price:
$12 * 10.25% = $1.23
Finally, we add the sales tax to the discounted price to find the final price:
$12 + $1.23 = $13.23
So the total cost of the jeans, with the extra 60% off code and sales tax of 10.25% included, would be $13.23.
Assuming large between subject variability, which of the following tests is usually the most sensitive (N held constant)? 1. they are all equal in sensitivity 2. t test for independent groups 3. t test for correlated groups 4. sign test
The t-test for independent groups is usually the most sensitive test when there is large between-subject variability and the sample size (N) is held constant.
The t-test for independent groups allows for the comparison of two independent groups, and can detect differences in the means between the two groups that may not be detected by other tests. The t-test for correlated groups is less sensitive than the t-test for independent groups, as it assumes that the two groups are related or correlated. The sign test is a non-parametric test and is less sensitive than the t-test for independent groups as it does not take into account the variability between the two groups.
Learn more about t-test
https://brainly.com/question/6589776
#SPJ4
Which transformations have been performed on the graph of f(x)=x√ to obtain the graph of g(x)=14x+3−−−−√+6? Select each correct answer. Responses reflect the graph over the x-axis reflect the graph over the x -axis translate the graph to the right translate the graph to the right stretch the graph away from the x-axis stretch the graph away from the x -axis translate the graph up translate the graph up compress the graph closer to the x-axis compress the graph closer to the x -axis translate the graph to the left translate the graph to the left translate the graph down
The transformations have been performed on the graph of f(x) = 3√x to obtain the graph of g(x)=1/4x+3√x+3+6 are respectively,
C. stretch the graph away from the x-axis
E. translate the graph to the left
G. translate the graph up
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Given that,
Two functions,
f(x) = 3√x,
g(x)=1/4x+3√x+3+6
Graph is attached,
the steps of transformation are,
stretch the graph away from the x-axistranslate the graph to the left translate the graph upTo know more about Functions check:
https://brainly.com/question/5975436
#SPJ1
Answer:
compress the graph closer to the x-axis
translate the graph up
translate the graph to the left
Step-by-step explanation:
I took the test on k12 trust me.
Find the equation of the line, in slope-intercept form, which has a slope of 2/3 and contains the point (3, -4).
Answer:
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
To find the equation of the line with a slope of 2/3 and passing through the point (3, -4), we can plug in the point and the slope into the equation:
y = 2/3 * x + b
-4 = 2/3 * 3 + b
-4 = 2 + b
b = -6
So the equation of the line is:
y = 2/3 x - 6
Lee has made a nonrefundable deposit of the first month’s rent (equal to $900) on a
apartment lease to 6 months. The same day later Lee finds a different apartment that
he likes just as well, but its monthly rent is cheaper and negotiable. Assume a nominal
rate interest rate of 8% convertible monthly. The rent will be paid monthly and at the
beginning of each month. [8]
(i) Write down the cash flow and compute the present value (to 2 decimal numbers)
of 6 months if Lee rents the first apartment ($900).
(ii) Find the range of the rent (to 2 decimal numbers) of the cheaper apartment such
that Lee would switch to rent the new apartment.
It would be wiser for the couple to stay in the old apartment and save $1400.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Explanation:
If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,
If they leave, they'll have to forgo $1000.
If they move to their new apartment, they'll pay $900 x 6 = $5400
total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.
It would be wiser for the couple to stay in the old apartment and save $1400.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ1
Which statement is true about this function for all values of
x
<
4
?
A nonlinear graph intercepts x-axis at points (2.8, 0) and (5.5, 0) with vertex point at (4, minus 2)
The function is decreasing, is true about this function for all values of x < 4.
What does the term "graph" mean?To develop a graph is to make a diagram that depicts the relationship between two or more objects. Make a sequence of bars on graph paper as an example of a graph.
A nonlinear graph can have more than one x-intercept, but it cannot have exactly two x-intercepts for all values of x. The vertex of a nonlinear graph is a special point that occurs when the graph changes from increasing to decreasing or vice versa, but it is not necessarily an x-intercept.
Therefore, the statement that the function intercepts the x-axis at points (2.8, 0) and (5.5, 0) with vertex point at (4, -2) is not true and decreasing for all values of x.
Learn more about graph
brainly.com/question/19040584
#SPJ1
Complete question:
Which statement is true about this function for all values of x < 4
The function is positive.
The function is decreasing.
The function is increasing.
The function is negative.
Help with stem & leaf
The 15th percentile can be found to be 66.5
How to find the 15 th percentile ?The value that a specific percentage falls under is known as the percentile. The most typical definition of a percentile is a number below which a predetermined proportion of scores fall.
To find the 15 th percentile, the formula is:
= ( Percentile / 100 ) x Number of values in set
The 15th percentile is therefore:
= 15 / 100 x 117
= 17.55
= 18 th position
The value in the 18th position which is the 15th percentile is 66.5
Find out more on percentiles at https://brainly.com/question/24245405
#SPJ1
The scatter plot shows a relationship between the height and width of a tree. Based on this relationship, predict the height of a tree whose width is 10 ft.
Thank you in advance!
Answer:
ive had this
Step-by-step explanation:
i remember having this its 35ft
Answer: 35ft
Step-by-step explanation: i did this before
(4x-10) x (3x²)
Find the area of the rectangle
If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be [tex]$x=-\frac{2}{3}, x=-\frac{5}{2}$$[/tex].
How to find the area of rectangle?The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.
A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.
Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.
Area of rectangle = length × breadth
= (3x +2) × (4x +10)
simplifying the above equation, we get
= (3x) × (4x +10) + 2(4x +10)
= 12x² + 30x +8x +20
12x² + 38x + 20 = 0
simplifying the above equation, we get
By using quadratic equation, then
[tex]$x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$[/tex]
simplifying the above equation, we get
[tex]$$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$[/tex]
Separate the solutions, we get
[tex]$$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$[/tex]
The solutions to the quadratic equation are:
[tex]$x=-\frac{2}{3}, x=-\frac{5}{2}$$[/tex]
The complete question is:
Find the area of rectangle with length (3x+2) units and width (4x+10)units.
To learn more about area refer to:
https://brainly.com/question/2607596
#SPJ1
A linear equation is graphed
Answer:
(t,v) =(5,61)
Step-by-step explanation:
re-write expression
v=61
t=5
a posible solution
then check the solution
then the ordered pair is the solution
Calculate the percentage error to the nearest 1 cm, if the footpath around a building is 400 m long
Answer:
4000cm
Step-by-step explanation:
1m is equal to 100cm
so 400m is equal to 400 x 10 which is 4000
so 1cm dividided by 400m ks 400m
Find the slope of the line described in the table.
m = 0
m = 1
m = 2
m = 3
m = 4
The slope of the line described in the table is m=3.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The points from the table are (2, 6) and (3, 9)
Slope=9-6/3-2
=3/1
=3
Hence, the slope of the line described in the table is m=3.
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ1
Six pupils obtained the following marks in mathematics contest 23, 24, 39, 40, 26, 37 find the probability that a pupil selected at random obtained more than 27 marks
Answer:
In order to find the probability that a pupil selected at random obtained more than 27 marks, we need to know the total number of pupils and the number of pupils who scored more than 27 marks.
Let's call the total number of pupils "n" and the number of pupils who scored more than 27 marks "x".
From the given data, we know that n = 6 and the pupils who scored more than 27 marks are 39, 40, 37.
x = 3
Now we can use the formula for probability:
Probability = (x/n)
Probability = (3/6)
Probability = 0.5
So the probability that a pupil selected at random obtained more than 27 marks is 0.5 or 50%.
Step-by-step explanation:
Order equivalent equations of 2(−3) = 4 2 x - 3 = 4 x to solve for x .
The missing 3 steps for the given equivalent equation are as follows:
1st step: 2x - 6 = 4x
2nd step: -6 = 2x
3rd step: -3 = x
What are equivalent equations?Algebraic equations with equivalent solutions or roots are called equivalent equations.
An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation.
An equation is equivalent if both sides are multiplied or divided by the same non-zero value.
So, we have the equation:
2(x-3) = 4x
Now, solve further as follows:
2(x-3) = 4x
1st step: 2x - 6 = 4x
2nd step: -6 = 2x
3rd step: -3 = x
Therefore, the missing 3 steps for the given equivalent equation are as follows:
1st step: 2x - 6 = 4x
2nd step: -6 = 2x
3rd step: -3 = x
Know more about equivalent equations here:
https://brainly.com/question/2972832
#SPJ1
Please help me ASAP!
The reflection points of (-7, 8) across the x-axis and y-axis are (-7, -8) and (7, 8).
What is a reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.
Given:
A point (-7, 8).
Reflection rule about the x-axis:
(x , y) → (x, -y)
So, (-7, 8) → (-7, -8)
Reflection rule about the y-axis:
(x , y) → (-x, y)
So, (-7, 8) → (7, 8)
Therefore, all the required values are given above.
To learn more about the reflection;
https://brainly.com/question/11232423
#SPJ1
Tiana needs to wrap 2 gifts with no overlap. The boxes are shaped as right rectangular prisms. The length of each box is 22.2 in, the width is 4.8 in, and the height is 14 in. How much wrapping paper does Tiana need to buy? Round to the nearest hundredth. Leave out units
Answer:
971.92 square inches of wrapping paper.
Step-by-step explanation:
Please find the attachment for detail
a concrete block has a volume of 34 cubic meters and the dimensions shown. find the value of X
The value of x is obtained as follows:
x = 2.83.
How to obtain the volume of the rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, as follows:
Volume = length x width x height.
Considering the dimensions in this problem, and the volume of 34 cubic meters, the equation is given as follows:
x(2x - 3)(3x - 4) = 34.
x(6x² - 17x + 12) = 34
6x³ - 17x² + 12x - 34 = 0.
Which is a cubic equation with coefficients given as follows:
a = 6, b = -17, c = 12, d = -34.
Using a calculator, the real solution are given as follows:
x = 2.83.
More can be learned about the volume of a rectangular prism at https://brainly.com/question/22070273
#SPJ1
Write the other side of this equation so it's true for all values of x:
1/2(6x - 10) - x =
write the other side of this equation so it's true for no values of x:
1/2(6x - 10) - x =
The other side of this equation so it's true for all values of x: 1/2(6x - 10) - x = 2x - 5, and the other side of this equation so it's true for no values of x: 1/2(6x - 10) - x = 2x-5 = 2x+3.
How do equations work?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
Given that, find the other side of this equation so it's true for all values of x:
1/2(6x - 10) - x
= 6x/2 - 10/2 -x
= 3x-5-2
= 2x-5
Now for, equation so it's true for no values of x:
1/2(6x - 10) - x =
Distribute the parentheses:
1/2(6x - 10) - x =
= 3x -5 -x
= 2x -5
We need to other side to be of the form 2x - constant where the constant is not equal to 5.
2x-5 = 2x+3
Subtract 2x from each side.
-5 =3
This is not true so there is no solution.
Hence, the other side of this equation so it's true for all values of x: 1/2(6x - 10) - x = 2x - 5, and the other side of this equation so it's true for no values of x: 1/2(6x - 10) - x = 2x-5 = 2x+3.
Learn more about equations here:
https://brainly.com/question/29657992
#SPJ1
Please help me with the following question.
a) The point estimate of the population mean is given as follows: 3.2.
b) The standard error of the sample mean is given as follows: 0.16.
c) The interpretation of the 95% confidence interval is that we can be 95% confidence that the mean number of children that females would like to have is between 3.04 and 3.36. (option D).
d. It is not plausible that the population mean is of 2, as 2 falls outside of the confidence interval. (option A).
How to obtain the features?The point estimate of the confidence interval is given by half the sum of the bounds, hence:
(3.04 + 3.36)/2 = 3.20.
The standard error of the sample mean is half the difference between the bounds, hence:
(3.36 - 3.04)/2 = 0.16.
More can be learned about confidence intervals at https://brainly.com/question/25890103
#SPJ1
Which equation represents the graph of function j?
The required equation that represents the graph is j(x) = (-x + 4)¹/². Option D is correct.
What is a parabola?A parabola is a cross-section cut out of the cone and represented by an equation x = y².
here,
The given graph is of the left parabola,
-x = y²
When we translate the above expression 4 units right we get the graph,
So
-x + 4 = y²
put y = j(x)
-x + 4 = j(x)²
j(x) = [-x + 4]¹/²
Thus, the required equation that represents the graph is j(x) = (-x + 4)¹/². Option D is correct.
Learn more about parabola here:
brainly.com/question/4074088
#SPJ1
Michelle is also a contestant. On day 21, she is informed by the wellness team that she has lost 17% of her body weight. Michelle weighed 145 lb. at the start of the competition. How much does she weigh now?
Answer:
Michelle weighs 120.15 lb. now.
You can calculate it by
145lb x (1-.17) = 145lb x .83 = 120.15lb
what is the length x of a side of the small inner square? express your answer in terms of some or all of the variables a , b , and c .
The length x of a side of the small inner square in terms of some of the variables a , b is expressed as x = (b - a).
We have, length x which is side of inner square in above figure. We have to determine the value of x in terms of " a and b." See the figure carefully and draw the important results. As we see,
there is a big square with side length c.One inner square with side length x There is two pairs of similar right angled triangles. The side length of yellow triangle is equals to the a.The side length of blue triangle is equals to the b.Also, see in above figure, the side length of blue triangle is equals to the sum of side length of yellow triangle and side length inner square. In expression form , b = x + a . But we want to determine the value of x, so x = b - a.
Hence, required length is ( b - a).
To learn more about Square, refer:
https://brainly.com/question/25092270
#SPJ4
Complete question:
what is the length x of a side of the small inner square? express your answer in terms of some or all of the variables a , b , and c.
The above figure complete the question.
