By using the provided formula of inflation, the answer is $35.35.
What do you mean by inflation?The rate at which consumer prices for a variety of products and services are increasing is known as inflation.
What are the ways for measuring inflation?The common ways followed are:
The Consumer Price Index (CPI)CPI, less food and energy.Personal Consumption Expenditures (PCE)Personal Consumption Expenditures excluding food and energy or “Core PCE”[tex]C(t) = P(1.04)^{t}[/tex]
P= $23.95
t=10
The estimated price is [tex]23.95*(1.04)^{10}[/tex]
=$35.35
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Please help me on this.
What is the slope of the line that passes through the points (2, 3) and (0,11)?
According to a weather report, there is a 53% chance it will
rain tomorrow. What is the probability that it will not rain
tomorrow?
Answer:
47% or .47
Step-by-step explanation:
Find each probability and then order from least probable to most probable.
AnSwErS:
Target:
1. The probability of rolling a 7 on a 6-sided die.
2. The probability of rolling a 4 on a 6-sided die.
3. The probability of flipping a head on a coin.
4. The probability of drawing a green or red marble from a bag with 6 red, 5 blue, and 3 green marbles.
5. The probability of rolling a number less than 7 on a 6-sided die.
Step-by-step explanation:
HOPE THIS HELPS!!!!
NO LINKS!! Help me with these 2 column proofs 7aa
Here is the two column proof:
Statement Reason
Diagram GivenOS ≅ OS Reflexive property of congruence Proved===================================================
Statement Reason
Diagram Given∠C ≅ ∠C Reflexive property of congruence ProvedGraph the translation and identify the coordinates of the image
The coordinates of A'B'C'D' are A'(2, 1), B'(3, 1), C'(3, -1) and
D'(2, -1).
What is translation of points?
By describing how far a point is moved left, right, and up or down, translations are defined.
If we know which way and how far the figure should be moved, we can draw the translation in the coordinate plane. Use P'(x + a, y + b) to translate the point P(x, y) to the right and up, respectively, by a and b units.
For the given graph, the coordinates of ABCD are,
A(-2, 3)
B(-1, 3)
C(-1, 1)
D(-2, 1)
The translation is, (x, y) → (x + 4), y - 2)
So, the coordinates of A'B'C'D' are,
A(-2, 3) → A'(2, 1)
B(-1, 3) → B'(3, 1)
C(-1, 1) → C'(3, -1)
D(-2, 1) → D'(2, -1)
The graph of translation is attached below.
Hence, the coordinates of A'B'C'D' are A'(2, 1), B'(3, 1), C'(3, -1) and
D'(2, -1).
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Liam opened a savings account and deposited \$6000$6000dollar sign, 6000. The account earns 5\%5%5, percent in interest annually. He makes no further deposits and does not withdraw any money. In ttt years, he has \$8865$8865dollar sign, 8865 in this account.
Write an equation in terms of ttt that models the situation.
Answer:
8865= 6000 * 1.05[tex]x^{ttt}[/tex]
Step-by-step explanation:
if it is compound interest you multiply initial saving by 1.05 as this is and increase by 5% to the power of the number of years he has saved for.
8865= 6000 * 1.05[tex]x^{ttt}[/tex]
1.4775=1.05[tex]x^{ttt}[/tex]
to find ttt:
[tex]log _{1.05}[/tex][tex]1.4775= 8.0006=8[/tex]
thus ttt= 8 years
1/2 times 4/5 what’s the answer
Answer:
2/5.
Step-by-step explanation:
1/2 times 4/5 is equal to (1/2) * (4/5), which simplifies to 4/10. Since 4/10 can be simplified to 2/5, the answer is 2/5.
Answer:
the answer is 2/5 or as a decimal 0.4
If the measure of angle P is three less than twice the measure of angle Q, and angle P and angle Q are supplementary angles, find each angle measure.
The value of angle P = 119°
The value of angle Q = 61°
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the value of angle P be = P
Let the value of angle Q = Q
Now , the equation will be
Measure of angle P is three less than twice the measure of angle Q
Substituting the values in the equation , we get
P = 2Q - 3 be equation (1)
And , angle P and angle Q are supplementary
So ,
P + Q = 180° be equation (2)
Substituting the value of P from equation (2) in equation (1) , we get
2Q - 3 + Q = 180
On simplifying the equation , we get
3Q - 3 = 180
Adding 3 on both sides of the equation , we get
3Q = 183
Divide by 3 on both sides of the equation , we get
Q = 61°
Therefore , the value of Q is 61°
Substitute the value of Q in equation (2) , we get
P + Q = 180°
Subtracting Q on both sides of the equation , we get
P = 180° - 61°
P = 119°
The measure of angle P = 119°
Hence , The value of angle P = 119°
The value of angle Q = 61°
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Complete the square to re-write the quadratic function in vertex form:
y =
-8x²+32x - 28
Answer:
y = -8(x - 2)² + 4
How to write the unit form for 1/3
Answer:
To write the unit form for 1/3, you can simply write "1/3" or use the fraction symbol, which looks like a horizontal line with the numerator above the denominator. For example, you can write the unit form for 1/3 as follows:
1/3
Alternatively, you can use the fraction symbol, like this:
1/3
In both cases, the numerator (the number on top of the fraction) is 1 and the denominator (the number on the bottom of the fraction) is 3. This indicates that the value of the fraction is one-third.
Enter the number that belongs in the green box
Solve for the variable
m/9-1=-2
Answer:
m = -9
Step-by-step explanation:
m/9 - 1 = -2
m/9 = -1
m = -1 × 9
m = -9
------------------------------
check
-9/9 -1 = -2
-2 = -2
the answer is good
The width of a rectangular table top is 2 1/2 feet shorter than 3 times it’s length. If the perimeter of the table is 43 feet, what is the length, L, of the table
Answer: length=6 feet
Step-by-step explanation:
For this you need to create one equation from the question and use the equation for perimeter.
equation 1 is 2W+2L=P where perimeter is 43.
equation 2 is w=3L-2.5
-Now you want to take equation two and plug it into equation 1 for w to find L
It will be 2(3L-2.5)+2L=43 and you want to solve for L
distribute the 2 2(3L-2.5)+2L=43
add up the Ls 6L-5+2L=43
add 5 to each side 8L-5=43
divide each side by 8L=48
Then you get L=6
Now use L=6 to plug into equation two to get W(width)
w=3(6)-2.5=18-2.5=15.5
Now plug in both W and L into equation 1 to make sure you get 43
P=2(15.5)+2(6)=32+12=43 this means that w and l are correct and you get the perimeter given. So length (L) is 6.
I need help with this pls someone
Answer:
a rotation 90 degrees clockwise of the orgin
Step-by-step explanation:
Find the product of -1.5x and -0.25x.
O 0.375x²
O-1.75x²
O 0.375x
O -1.75x
Step-by-step explanation:
(-1.5)x × -0.25x = 0.375x²
remember, -×- = +
Someone can help me please #10
For 50 points if someones solves this for me
Answer:
It will take 48 seconds before the planes are at the same altitude.
When there are at the same altitude, they will be at 3864 feet.
Step-by-step explanation:
Because its right :)
please give brainliest
A store pays $70 for a bicycle. The percent of markdown is 20%. What is the selling price?
Answer: $56
Step-by-step explanation:
20% of 70=14
70-14=56
94.36 rounded tenths
Answer:
94.4
Step-by-step explanation:
2. Mike Williams, an electrician, is single, claims 1 allowance, and earns $425 per week. Find the federal tax withheld each week
The federal tax withheld each week for Mike Williams is given as follows:
$37.
How to obtain the amount he pays in taxes?Mike Williams salary is given as follows:
$425 a week.
The range that contains the salary, from the table given at the end of the answer, is given as follows:
Between $420 and $430.
The number of allowances that he claims is given as follows:
One allowance.
Hence the federal tax withheld each week is given by the 4th column of the interval between 420 and 430, as he claims one allowance, and the numeric value of this tax is given as follows:
$37.
(which is the weekly amount that he pays in taxes).
Missing InformationThe table with the tax information is given by the image shown at the end of the answer.
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Alex came home after school one day and found that his mother had left a plate of cookies. Alex ate 1/4 of the cookies. When his sister Bernice came home, she ate 1/3 of the remaining cookies, and when Carla came home, she ate 1/2 of the cookies on the plate. When their mother came home, there were 5 cookies on the plate. How many did each child eat?
Answer: Children ate 15 cookies and 5 each because Alex ate 1/4 and bernice ate 1/3 and carla ate 1/2
and 5 were left
5 into 3 is 20
and 5 are left so
20-5 is 15
15 divide by 3 is 5
Frame calculation process in your words but the final answer is each child ate 5 cookies.
What are the possible rational zeros of f(x) = x^4+2x^3-3x^2-4x-12
The solution of the function f(x) = (x - 2)(x + 6)(x² + x + 2) will be 2, -3, - 1/2 + (√7/2)i, and - 1/2 - (√7/2)i.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The function is given below.
f(x) = (x⁴ + 2x³ - 3x² - 4x - 12)
Factorize the expression, then we have
f(x) = (x⁴ + 2x³ - 3x² - 4x - 12)
f(x) = x⁴ - 2x³ + 4x³ - 8x² + 5x² - 10x + 6x - 12
f(x) = x³(x - 2) + 4x²(x - 2) + 5x(x - 2) + 6(x - 2)
f(x) = (x - 2)(x³ + 4x² + 5x + 6)
f(x) = (x - 2) (x³ + 3x² + x² + 3x + 2x + 6)
f(x) = (x - 2)[x²(x + 3) + x(x + 3) + 2(x + 3)]
f(x) = (x - 2)(x + 6)(x² + x + 2)
The zeroes of the function are given as,
f(x) = 0
(x - 2)(x + 3)(x² + x + 2) = 0
x = 2, -3, - 1/2 + (√7/2)i, - 1/2 - (√7/2)i
The solution of the function f(x) = (x - 2)(x + 6)(x² + x + 2) will be 2, -3, - 1/2 + (√7/2)i, and - 1/2 - (√7/2)i.
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Determine whether the relation is a function. Explain.
{(6,-1), (-4, 2), (5, 2), (4, 6), (6,5)}
Answer:
It's not a function
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\sf No}[/tex]
Step-by-step explanation:
Given relation:{(6,-1), (-4, 2), (5, 2), (4, 6), (6,5)}
For a relation to be a function, the domain (x-values) should NOT repeat values.
Here,
Domain = {6, -4, 5, 4, 6}
The number 6 in domain is repeated. Hence, this relation is not a function.
[tex]\rule[225]{225}{2}[/tex]
Bradley went apple picking at a local orchard and bought nine pounds of apples for $8.37.
What was the price per pound for the apples?
Kristen went to the same orchard on the same day and bought a four pounds of apples. How much did Kristen pay for the apples?
Answer: Not sure, Sorry
Note: I try to help people, but i tried and cannot get a right answer.
Message: If this helped you, let me know by giving me a thanks! :)
Answer and step-by-step explanation:
If Bradley bought nine pounds of apples for $8.37, then the price per pound for the apples is $8.37/9 = $0.93.
If Kristen went to the same orchard on the same day and bought four pounds of apples, then she paid $0.93/pound * 4 pounds = $3.72 for the apples.
Ben lost half of his candies while walking home. His mom gave him 8 more candies. Now he has
22 candies. How many candies did he have to begin with?
Is this a false or true statement? Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.
How is regression calculated?Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.
What makes regression math so special?Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.
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Find the zeros of the function. State the multiplicity of multiple zeros.
y = 10x³ - 10x
Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
(Use a comma to separate answers as needed.)
A. The numbers
are zeros of multiplicity 1 and the numbers are zeros of multiplicity 2.
B. The numbers
are zeros of multiplicity 2.
C. The numbers 1,-1,0 are zeros of multiplicity 1.
D. The numbers are zeros of multiplicity 3.
Answer:
C. The numbers 1,-1,0 are zeros of multiplicity 1.---------------------
Given:Function y = 10x³ - 10xFind its zero's:10x³ - 10x = 0x³ - x = 0x(x² - 1) = 0x(x + 1)(x - 1) = 0x = 0 and x + 1 = 0 and x - 1 = 0x = 0 and x = - 1 and x = 1It has three different zeros of multiplicity 1.
Correct choice is C.
Given 2x + 3 is the hypotenuse, use the Pythagorean
Theorem to find the length of the side labeled x.
Answer:
24
Step-by-step explanation:
Given right triangle sides x, 2x-3, and 2x+3, you want to know the length of the side labeled x.
Pythagorean theoremThe Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.
(2x +3)² = (2x -3)² +x²
4x² +12x +9 = 4x² -12x +9 +x²
x² -24x = 0 . . . . . subtract 4x² +12x +9
x(x -24) = 0 ⇒ x = 0 or 24
The length of the side labeled x is 24 units.
__
Additional comment
The triangle is an 8-15-17 triangle scaled up by a factor of 3.
compute the integral
integral 2x+11/x^2-x-2 dx
The Integral value of (2x+11)/(x²-x-2) is[tex]2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex]
What is Integration?An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data.
The given integral is [tex]\int\dx \frac{2x+11}{x^{2} -x-2} dx[/tex]
By partial fractions we divide the integral
Apply the sum rule:
∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx
[tex]=\int\dx \frac{2x}{x^{2} -x-2} dx+\int\dx \frac{11}{x^{2} -x-2} dx[/tex]
Let us calculate the first integral part
[tex]=\int\dx \frac{2x}{x^{2} -x-2} dx[/tex]
Let us use the partial fraction of [tex]\frac{x}{x^{2} -x-2} dx:\frac{1}{3(x+1)} +\frac{2}{3(x-2)}[/tex]
[tex]\int\dx \frac{2x}{x^{2} -x-2} dx=2\int\dx \frac{1}{3(x+1)} dx+ \frac{2}{3(x-2)} dx[/tex]
[tex]\int\dx \frac{2x}{x^{2} -x-2} dx=2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)[/tex]
Now let us integrate second term.
[tex]\int\dx \frac{11}{x^{2} -x-2} dx=11\int\dx \frac{1}{x^{2} -x-2} dx[/tex]
We can write denominator as x²-x-2= (x-1/2)²-9/4
[tex]=11\int\dx \frac{1}{(x-\frac{1}{2}) ^{2} -\frac{9}{4}} dx[/tex]
We apply u substitution method
[tex]\int\dx \frac{11}{x^{2} -x-2} dx=-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)[/tex]
[tex]=2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex]
Hence, [tex]2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex] is the integral value of of (2x+11)/(x²-x-2).
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