Answer:
par value of the TIPS is $1034.05
Step-by-step explanation:
Given:
- original reference CPI = 182.1
- current CPI = 188.3
Assume face value of tips = $1000
par value of the TIPS = [tex]face\ value\ of\ tips\times \frac{current\ CPI}{original\ reference\ CPI}[/tex]
par value of the TIPS = [tex]1000\times \frac{188.3}{182.1}\approx $1034.05[/tex]
Final answer:
The par value of a TIPS adjusts with the CPI's inflation rate. To find the adjusted par value of a 4.15% TIPS, multiply the original par value by 1 plus the inflation rate, which is determined by the percentage increase from the original to the current CPI.
Explanation:
A student asked about the par value of a Treasury Inflation-Protected Security (TIPS) given an original reference Consumer Price Index (CPI) of 182.1 and a current CPI of 188.3. The par value of TIPS adjusts with inflation to protect investors, with the adjustment based on the change in the CPI.
First, we need to calculate the percentage increase in the CPI by using the formula:
(Current CPI - Original CPI) ÷ Original CPI x 100%.
Plugging in the given CPI values:
(188.3 - 182.1) ÷ 182.1 = 0.0340 or 3.40%
This percentage tells us how much the CPI has increased since the TIPS was issued. To find the adjusted par value, you would multiply the original par value of the TIPS (which is typically $1,000) by 1 plus the inflation rate. Since we do not have the original par value, we can only provide the formula for its calculation.
The adjusted par value would be:
Original Par Value x (1 + Inflation Rate).
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!!
X= ____________
Answer:
x = 26
Step-by-step explanation:
The parallel lines are Line l and Line m. The other line shown is the transversal.
When 2 parallel lines are cut by a trasversal it creates 4 euqual angles and another 4 equal angles of different measure.
The angle "5x + 7" is equal to the angle "8x - 71" since they are alternate exterior angles.
So, we can equate both expressions and use algebra to solve for "x". The process is shown below:
[tex]5x+7=8x-71\\8x-5x=71+7\\3x=78\\x=\frac{78}{3}\\x=26[/tex]
Hence,
the value of x is 26
a point is reflected in the x-axis the new point is (5, -3.5) what is the distance between the two points? Urgent pls help
Distance between two points is 7
Explanation:
This is a question based on reflection of point w.r.t line. During reflection we can see the mirror image with t-shirt print inverted.But the distance from mirror remains same.
Assume a point (x,y), and it reflect in x-axis, then x-axis serves as the mirror, and the new point is (x,-y), because the distance from the mirror remains same. If the reflection of the point is (x,y) in y-axis, then y-axis serves as the mirror, and the new point is (-x,y). And if you reflect (x,y) in y=x line, then new point will be (y,x).
So considering the above question, if new point is (5, -3.5), then the original point must be (5, 3.5)
Distance between two points [tex]P(X_1, Y_1)[/tex] and [tex]Q(X_2, Y_2)[/tex]is given by:
d(P, Q) = [tex]\sqrt{ (X_2-X_1)^{2} + (Y_2-Y_1)^{2}}[/tex]
[tex]Y_2-Y_2 = (3.5) - (-3.5) = 3.5+3.5 = 7\\ \\X_2-X_1 = 5 - 5 = 0[/tex]
[tex]So \sqrt {(Y_2-Y_1)^{2} + (X_2-X_1)^{2}} = \sqrt { 7^{2} + 0^{2}} = \sqrt { 14+0} = \sqrt {14} = 7[/tex]
So distance = 7
Fiona has a play yard for her dog. She mows the yard in 8 equal rows. Each row has 41.75 square feet.
Play Yard
41.75 f2
Which is the best method to find how many square feet are in the play yard?
O multiply 8 times 41.75
o divide 41.75 by 8
o divide 92 by 41.75
O multiply by I think that says 8 squared times 41.75
Answer: the answer that actually makes since is multiply 8 times 41.75 that also equals out to 334 which would be accurate
Step-by-step explanation:
Answer:
multiply 8 times 41.75
Step-by-step explanation:
i got it right on my test
17q-q-8q-4=20 solve for q
Hey! :)
Glad to see you on Brainly.
Look below and watch how we solve this problem.
Ask any questions if you need it! I'll respond when you need it!
Simplify 17q−q−8q−4 to 8q-48q−4.
8q - 4 = 20
8q = 20 + 4
8q = 24
q = 24/8
q = 3
Wonder how I got any of those answers? Just ask and I'll show you. :)
What is 1,364 divided by 62
write as a fraction and simplify 4^-4
Answer:
1/256
Step-by-step explanation:
1/256
4^-4 as a fraction is 1/256. It cannot be further simplified because 1 and 256 have no common factors other than 1, making it the simplest form.
To express 4^-4 as a fraction and simplify it, we can apply the rule that states any non-zero number raised to a negative exponent is equivalent to 1 divided by that number raised to the positive exponent.
So, for 4^-4, we can write it as:
4^-4 = 1 / 4^4
Now, let's calculate 4^4:
4^4 = 4 * 4 * 4 * 4 = 256
So, we have:
4^-4 = 1 / 256
This is the fraction representation of 4^-4. To determine if it can be further simplified, we can check if the numerator and denominator have any common factors other than 1. In this case, 1 and 256 have no common factors other than 1.
Therefore, 1/256 is already in its simplest form. It represents the fraction equivalent of 4^-4, which is a small value. It means that 4 raised to the power of -4 is a very small positive number, specifically 1/256, indicating that the original number 4^-4 is less than 1 and quite close to zero in value.
For more such questions on Mathematical fractions
https://brainly.com/question/30154928
#SPJ2
Si n es un número impar, ¿cuál de las siguientes opciones representa un número par? a) 2n +1 b) n (n + 2) c) n + (n-1) e) 2 (n + 1)
Answer:
Option E) is correct
If n is an odd number then 2(n+1) represents an even number.
Step-by-step explanation:
Let X=set of all odd numbers
that is [tex]X={\{1,3,5,7...}\}[/tex]
Let Y=set of all even numbers
that is [tex]Y={\{2,4,6,8...}\}[/tex]
Verify that 2(n+1) represents an even number where n is an odd number:
Put n=1 in 2(n+1) we get
2(1+1)=2(2)=4
Put n=3 in 2(n+1) we get
2(3+1)=2(4)=8
Put n=5 in 2(n+1) we get
2(5+1)=2(6)=12
and so on.
From above results we get 2(n+1) represents an even number and is belongs to the set Y when n is an odd number.
Therefore Option E) is correct
If n is an odd number then 2(n+1) represents an even number.
Jaquan bought 25 yards of cloth. He used 4.9 yards for a decoration and 10.6 yards to make costumes for the school play. Express the amount of cloth left over as a fraction in simplest form
Final answer:
To find the amount of cloth left over, subtract the amount used from the total amount. Jaquan had 9.5 yards of cloth left over, which can be expressed as the fraction 19/50.
Explanation:
To find the amount of cloth left over, we need to subtract the amount used from the total amount. Jaquan bought 25 yards of cloth, used 4.9 yards for a decoration, and used 10.6 yards to make costumes. To find the amount left over, we subtract the sum of 4.9 yards and 10.6 yards from 25 yards: 25 - 4.9 - 10.6 = 9.5 yards.
The amount of cloth left over can be expressed as a fraction by dividing the amount left over by the total amount. So, 9.5 yards can be written as the fraction 9.5/25, which can be simplified by dividing both the numerator and denominator by 0.5 to get 19/50. Therefore, the amount of cloth left over is 19/50.
Audrey has 400 songs on her MP3 player. Of these songs, 150 are by female vocalists, 75 are by male vocalists, and 175 are by groups. If one song is played at random, what is the probability it is sung by a female vocalist?
Probability for male = 75/400 = 3/16
Probability for groups = 175/400 = 7/16
Probability for female = 150/400 = 3/8
There is a 3/8 probability of the song being sung by a female vocalist.
⭐ Please consider brainliest! ⭐
✉️ If any further questions, inbox me! ✉️
What is the right-hand limit of this function at x = 2?
g(x) =x^2-3/x-3
Answer:
-1
Step-by-step explanation:
A function assigns the values. The right-hand limit of this function at x=2 is -1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The right-hand limit of the function when the value of x=2, can be found by substituting the value of x as 2 in the given function, therefore, the right-hand limit of this function at x=2 is,
g(x) = (x²-3)/(x-3)
g(2) = (4-3)/(2-3)
g(2) = -1
Hence, the right-hand limit of this function at x=2 is -1.
Learn more about Function:
https://brainly.com/question/5245372
#SPJ2
10 POINTS!!! Brainliest.
4. Suppose the point B(2,8) is reflected across the x-axis and then translated according to the rule (x,y)→(y,x+4). What are the coordinates of B''? Show your work and explain.
Step-by-step explanation:
Point B(2, 8) reflect to x-axis
It means the x value won't change, the only thing that will change is the y value.
According to it, we can know that B' is (2, -8)
(2, -8) → (-8, 2+4) = (-8, 6) = B''
Final answer:
To obtain the coordinates of B'' after a reflection across the x-axis and a translation of (x,y)
ightarrow(y,x+4), point B(2,8) becomes B'(2,-8) after reflection and then B''(-8, 6) after translation.
Explanation:
The student is asking about the results of performing a geometric transformation on a point in the coordinate plane. Specifically, point B(2,8) is first reflected across the x-axis, and then is translated according to the rule (x,y)
ightarrow(y,x+4). To find the coordinates of B'', we follow these steps:
Reflect B across the x-axis: The x-coordinate remains the same, but the y-coordinate changes sign, resulting in B'(2,-8).
Apply the translation rule: We then take the coordinates of B' and apply the rule. The x-value of B' becomes the y-value of B'' and the y-value of B', decreased by 4, becomes the new x-value. Therefore, B'' = (-8, 2+4) = (-8, 6).
The final coordinates of B'' after the reflection and translation are (-8,6).
Solve 2 cos ø + 2=3 in the interval from 0 to 2 π.Round to the nearest hundredth.
Answer:
The value of ∅ for the given trigonometrical equation is 60° .
Step-by-step explanation:
Given as :
The Trigonometrical equation
2 cos∅ + 2 = 3
Now, Solving this equation to get the value of ∅
∴ The equation can be written as
2 cos∅ = 3 - 2
or , 2 cos∅ = 1
or , cos∅ = [tex]\dfrac{1}{2}[/tex]
∴ ∅ = [tex]cos^{-1}(\frac{1}{2})[/tex]
I.e ∅ = 60°
So,The value of ∅ for the given trigonometrical equation = ∅ = 60°
Hence, The value of ∅ for the given trigonometrical equation is 60° . Answer
Express sin6θ + sin4θ as a product.
Answer: [tex]2 sin(5 \theta) cos \theta[/tex]
Step-by-step explanation:
According to the trigonometric identities we have the following formula:
[tex]sin (x) + sin (y)=2 sin(\frac{x+y}{2}) cos(\frac{x-y}{2})[/tex]
Now, we have the following:
[tex]sin (6\theta)+ sin (4\theta)[/tex]
Where [tex]x=6\theta[/tex] and [tex]y=4\theta[/tex]
Hence:
[tex]sin (6\theta)+ sin (4\theta)=2 sin(\frac{6\theta+4\theta}{2}) cos(\frac{6\theta-4\theta}{2})[/tex]
[tex]sin (6\theta)+ sin (4\theta)=2 sin(\frac{10\theta}{2}) cos(\frac{2\theta}{2})[/tex]
Finally:
[tex]sin (6\theta)+ sin (4\theta)=2 sin(5\theta) cos(\theta)[/tex]
Define a translation and explain why it is a congruent figure
I costs $36 for 4 movie tickets, What is
Ovie tickets, What is the unit price of each ticket
I
Answer: $9 per ticket
Step-by-step explanation: Unit price means the cost per unit. In this case, the cost per ticket.
Since we know that it costs $36 for 4 movie tickets, to find the cost for 1 movie ticket, we need to divide 4 into $36 or 4 into 36.
4 divides into 36 9 times. 9 x 4 is 36 and 36 - 36 is 0. So 4 divides into 36 9 times which means that each movie ticket costs $9.
So the unit price is $9 per ticket.
g(x) = 2x + 9
g( )= 15
If g(x)=15, x=...
g(x)=15
2x+9=15
x=3
answer: 3
Answer:
the answer is 3
Step-by-step explanation:
A circle has a radius with endpoints at(2,5) and (-1,-4).Find the circumference and area of the circle.
Answer:
circumference is 59.6075
area is 282.743
Step-by-step explanation:
To find the circumference and area of the circle, we need to first find the radius. This can be achieved using the distance formula.
The distance formula goes as follows: for any two points on an coordinate plane, the distance can be calculated using a certain method. This method is the derived from the Pythagorean Theorem. Basically, you find the distance from right to left and square it, and then find the distance from up to down and square it. You add these two values together and then square root the whole thing. I know, its complicated.
To apply this to your problem, we do 2-(-1) to find the distance from right to left (x-distance) and then we do 5-(-4) to find the distance from up to down (y-distance). 2-(-1)=3 and squaring that we get 9. 5-(-4)=9 and squaring that we get 81. Adding these two values together, we get 90 and square rooting it we get [tex]\sqrt{90}[/tex].
The formula for circumference of a circle is 2Pi * radius and plugging in our values we get 2Pi * [tex]\sqrt{90}[/tex] which gives us approximately 59.6075.
The formula for area of a circle is Pi * radius^2 and plugging in our values we get Pi * [tex]\sqrt{90}[/tex] ^2 which gives us approximately 282.743.
O
These are the means and standard deviations for samples of heights from
two kinds of trees.
Tree A
Mean: 25 ft
Standard deviation: 5 ft
Tree B
Mean: 60 ft
Standard deviation: 12 ft
rol
O
.
Select the two true statements.
Oh
CTS
(
DC)
I
A. Tree A's heights are less spread out than tree B's heights.
O
B. Tree A has a lower average height than tree B.
O
C. Tree A's heights are more spread out than tree B's heights.
D Tree A has a greater average height than tree B
< PREVIOUS
Chrome OS now
2% remaining
5 minutes left
Sign out
US
The true statements are:
A. Tree A's heights are less spread out than tree B's heights and
B. Tree A has lower average height than tree B
Explanation:
Standard deviation in this case represents the spreading out of heights of the trees, Since tree A has lesser standard deviation given equal to 5 , it is less spread out than B given equal to 12, hence option A. is true.
The average of a quantity is given by mean so, the average height can be compared by the given mean values of the trees. Since, A has lesser mean value (= 25) than B(=60), tree A is said to have lower average height than tree B hence option B. is true.
Answer:
A and B
ITS RIGHT FOR ME!!!!!!!5.) Juan answered 24/25 correctly on his quiz.
What percent of the questions did he get correct?
Answer:
96%
Step-by-step explanation:
Answer:
Step-by-step explanation:
Percentage = (24/25) * 100 = 24* 4 = 96%
Can someone help me please
Answer:
both are answered below
Step-by-step explanation:
let us assume that , he buys y number of roses and x carnations.the total cost cant be more than $30.the cost of each rose : $3the cost of each carnation : $2so, the cost of all roses that he buys : 3xthe cost of all carnations that he buys : 2ythe required inequality will be : 3x+2y[tex]\leq[/tex]30the graph is in the attachment.by seeing graph, possible x,y values: (2,12) , (6,6) , (8,3)[where x represents no. of carnations that he buys , y represents no. of roses that he buys ]
Jerome's average speed for walking is 13 minutes and 40 seconds per mile. He will be walking for a fundraiser a total of 12 miles. Based on his average speed, how long should it take him to finish?
Answer:
164 minutes
Step-by-step explanation:
Assuming that Jerome's seed is maintained, we say that for every 1 mile, he takes 13 minutes and 40 seconds which is equivalent to[tex]13\frac {2}{3}[/tex] since 1 minute has 60 seconds hence [tex]\frac {40}{60}[/tex]=[tex]\frac {2}{3}[/tex]
Now if
1 mile = [tex]13\frac {2}{3}[/tex]
12 miles=??
We cross multiply hence 12\times[tex]13\frac {2}{3}=164[/tex]
Therefore, Jerome needs 164 minutes, equivalent to 2 hours 44 minutes
At a restaurant jars of tomato are stored in boxes in the pantry. each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes.
Answer:
[tex]y=8x-2[/tex]
Step-by-step explanation:
Here is the complete question: At a restaurant jars of tomato are stored in boxes in the pantry. each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes. Which function shows the relationship between y, the total number of jars of tomato sauce remaining in the pantry, and x, the number of boxes in the pantry?
Given: Each boxes contain 8 jars of tomato sauce.
Cook uses 2 jars from 1 of the boxes.
As we know total number of boxes is "x".
Number of jars in the pantry is [tex]8\ jars \times x\ boxes= 8x \ jars[/tex]
∵ cook uses 2 jars from one box.
∴ [tex]y=8x-2[/tex] ( y is used to show relationship)
The relationship between y, the total number of jars of tomato sauce remaining in the pantry, and x, the number of boxes in the pantry is [tex]y=8x-2[/tex].
The pyramid shown has a square base that is 24
24
centimeters on each side. The slant height is 16
16
centimeters. What is the lateral surface area?
Answer:
[tex]768\ cm^{2}[/tex]
Step-by-step explanation:
Here is the correct question: The pyramid shown has a square base that is 24 centimeters on each side. The slant height is 16 centimeters. What is the lateral surface area?
Given: Side of sqaure base = 24 cm
Slant height= 16 cm
Now, we have to compute to know lateral surface area of Pyramid with square base.
Formula, lateral surface area of pyramid= [tex]4(\frac{1}{2} \times b\times h)[/tex]
we know, side of sqaure base (b) is 24 cm and slant height (h) is 16 cm.
lateral surface area of pyramid= [tex]4\times (\frac{1}{2} \times 24\times 16)[/tex]
⇒lateral surface area of pyramid= [tex]4\times (192)[/tex]
Opening parenthesis.
∴lateral surface area of pyramid= [tex]768\ cm^{2}[/tex]
Select the sentence that explains the error in the given statement.
A line is contained in exactly one plane
A. A line must be coplanar to be contained in exactly one plane.
B. A line cannot be contained in a plane.
C. A line is contained in exactly one point.
D. A line can be contained in more than one plane.
Answer:
D. A line can be contained in more than one plane .
Step-by-step explanation:
A. is wrong because a line can't be said as coplanar . We can draw infinite number of planes through a line .
B. is wrong because a line can be contained in infinite number of planes.
C. is wrong because a line can't be contained in a point as a line is a collection of points.
D. is the right answer as every line passes through infinite number of planes.
Find the slope of the line that passes through (9,9) and(2,1)
Answer:
8/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-9)/(2-9)
m=-8/-7
m=8/7
Answer:
m= 8/7
Step-by-step explanation:
the formula to find slope is
m= y2-y1/x2-x1
Amber rides m miles in h hours according to the equation m=2h. Which of the following represents the unit rate for her miles per hour?
Answer:
The unit rate for her riding in miles per hour is given by 2 miles per hour.
Step-by-step explanation:
Amber rides m miles in h hours according to the equation m=2h .......... (1)
Putting h = 1 hour, we get m = 2 miles.
Therefore, Amber rides 2 miles height within a period of time 1 hour.
Therefore, the unit rate for her riding in miles per hour is given by 2 miles per hour. (Answer)
Again, differentiating equation (1) with respect to h we get,
[tex]\frac{dm}{dh} = 2[/tex] miles per hour.
So, here also we get the unit rate of her riding is 2 miles/hr.
Ryan and his children went into a bakery and will buy cupcakes and donuts.
Each cupcake costs $4.50 and each donut costs $1.75. Ryan has a total of $40
to spend on cupcakes and donuts. Write an inequality that would represent
the possible values for the number of cupcakes purchased, c, and the number
of donuts purchased, d.
The inequality which represents the possible values for the number of cupcakes and donuts is : 4.50c + 1.75d = 450
Let :
cupcakes = cdonut = d Total amount spent = 450Expressing the scenario as an inequality :
4.50c + 1.75d = 450
Therefore, the inequality which represents the possible values for the number of cupcakes and donuts is : 4.50c + 1.75d = 450
15-d=6 solve for d help me please
Answer:
[tex] \: \: \: \: \: \: 15 - d = 6 \\ = > - d = 6 - 15 \\ = > - d = - 9 \\ = > d = 9[/tex]
Verification :
[tex] \: \: \: \: \: \: 15 - d = 6 \\ = > 15 - 9 = 6 \\ = > 6 = 6[/tex]
HELPPP PLEASEEEEE THANKKKKKSSS
The segment to draw is segment UT
Step-by-step explanation:
A line segment is a part of a line that is bounded by two two distinct end points. In this case, segment UT is bounded by endpoints U and T. In the diagram, point R is not a segment but a point of intersection of segments BT and EU.
Learn More
Construction of a line segment: https://brainly.com/question/9716065
Keywords : proof, statement, reason, segments, reflexive property
#LearnwithBrainly
Consider a simple economy where the basket of goods used to calculate the CPI contains two items: shirts and pants. The basket consists of 3 shirts and 2 pairs of pants. Each item increases in price by $1 in year 2. The pants price is 20$ and the shirt price is 25$. What is the CPI for year 2.
To calculate the CPI for year 2 in a simple economy involving shirts and pants, we first find the total cost of the basket in both years considering the price increase. Then, using the formula for CPI, we find that the CPI for year 2 is 122.45, indicating an increase in the average price level compared to the base year.
Explanation:To calculate the Consumer Price Index (CPI) for year 2 in a simple economy with only shirts and pants in the basket of goods, we first need to understand the concept of CPI. The CPI represents the average change over time in the prices paid by urban consumers for a market basket of consumer goods and services. Here, we're given that the price of each item increases by $1 in year 2, with the new prices being $21 for pants and $26 for shirts.
First, calculate the total cost of the basket in year 2:
Cost of 3 shirts in year 2 = 3 shirts * $26 per shirt = $78
Cost of 2 pairs of pants in year 2 = 2 pants * $21 per pants = $42
Total cost of the basket in year 2 = $78 + $42 = $120
To determine the CPI for year 2, we also need to know the base year's total cost, which isn't directly provided here.
However, assuming the base year (year 1) prices were $1 less for each item, the prices would have been $20 for shirts and $19 for pants.
Cost of the basket in year 1:
Cost of 3 shirts = 3 shirts * $20 per shirt = $60
Cost of 2 pairs of pants = 2 pants * $19 per pants = $38
Total cost of the basket in year 1 = $60 + $38 = $98
Finally, to calculate the CPI for year 2, we use the formula:
CPI for year 2 = (Total cost of the basket in year 2 / Total cost of the basket in year 1) * 100
= ($120 / $98) * 100 = 122.45
Therefore, the CPI for year 2 is 122.45, indicating prices have increased on average when comparing year 2 to the base year (year 1). This helps in understanding the inflation rate and cost of living increases for consumers.