Answer:$53
Step-by-step explanation:
6th grade math, help me please:)
Answer:
D. 100
Step-by-step explanation:
percents are always out of 100 because that is the maximum. if you are 100% done with your homework, you are completely finished.
Given the following model
Y=C+I0+g0
C=a+b (y-t)
t=d+ty
(a>0, 0 0, 0< t <1) t: income taxes
a) How many endogenous variables are there?
b) Find Y, C, and T
Answer:
Step-by-step explanation:
a) To determine the endogenous variables, we need to identify the variables that are determined within the model equation. In the given model, the endogenous variable is Y (output or national income).
b) Let's find Y, C, and T step-by-step:
Start with the equation Y = C + I0 + g0.
Substitute C from the equation C = a + b(y - T).
Y = (a + b(y - T)) + I0 + g0.
Substitute T from the equation T = d + tY.
Y = (a + b(y - (d + tY))) + I0 + g0.
Expand the equation:
Y = a + by - bd - btY + I0 + g0.
Rearrange the equation to isolate Y:
Y + btY = a + by - bd + I0 + g0.
Y(1 + bt) = a + by - bd + I0 + g0.
Y = (a + by - bd + I0 + g0) / (1 + bt).
Now, Y is expressed in terms of the exogenous variables a, b, d, I0, g0, and the endogenous variable Y itself, along with the parameter t.
To find C and T, we can substitute the obtained Y value back into the respective equations:
Substitute Y into the equation C = a + b(y - T):
C = a + b(y - T) = a + b(y - (d + tY)) = a + by - bd - btY.
C = a + by - bd - bt[(a + by - bd + I0 + g0) / (1 + bt)].
Now, C is expressed in terms of the exogenous variables a, b, d, I0, g0, and the endogenous variable Y, along with the parameter t.
Substitute Y into the equation T = d + tY:
T = d + tY = d + t[(a + by - bd + I0 + g0) / (1 + bt)].
Now, T is expressed in terms of the exogenous variables d, t, and the endogenous variable Y, along with the parameters a, b, I0, and g0.
It's important to note that in the given model, there is only one endogenous variable, Y (national income/output). C and T are determined based on the values of Y and the exogenous variables.
What is an angle that is supplementary to AGF?
Answer:
CGD I believe.
Step-by-step explanation:
9514 1404 393
Answer:
∠AGC or ∠FGD
Step-by-step explanation:
∠AGF is part of two linear pairs. The other angle in the pair is supplementary to ∠AGF.
Point G is on line AD, so ∠FGD is a supplementary angle to ∠AGF.
Point G is on line FC, so ∠AGC is a supplementary angle to ∠AGF.
Refer to image and please attach working out
The solution to the initial value problem is determined as y = e³ˣ.
Form auxiliary equationThe auxiliary equation is determined as follows;
y'' - 7y' + 12y = 0
m² - 7m + 12 = 0
m² - 3m - 4m + 12 = 0
m(m - 3) - 4(m - 3) = 0
m = 3 or 4
\(y = c_1e^{3x} + c_2e^{4x}\\\\y(0) = 1\\\\1 = c_1e^{3\times 0} + c_2e^{4\times 0}\\\\1 = c_1 + c_2 \ --(i)\\\\y' = 3c_1e^{3x} + 4c_2e^{4x}\\\\y'(0) = 3\\\\3 = 3c_1e^{3\times 0} + 4c_2e^{4\times 0}\\\\3 = 3c_1 + 4c_2 \ \ --(ii)\)
solve (i) and (ii)
3 = 3c₁ + 4(1 - c₁)
3 = 3c₁ + 4 - 4c₁
3 = -c₁ + 4
c₁ = 1
c₂ = 0
\(y = e^{3x}\)
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Help me with math plzzzzzzzzzzzzzz
Answer:
Its A
Step-by-step explanation:
Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
Kendra opened an account with a deposit of $3,500.
.
• The account earns 2.5% interest compounded annually.
.
• Kendra makes no additional deposits or withdrawals.
Which amount is closest to the balance of the account at the end of 3 years?
A $3,762.50
B) $3,587.50
c) $3,507.50
D) $3,769.12
Answer:
its A
Step-by-step explanation:
cause 2.5 x 3 is 7.5 and 3500+7.5% is 3762.50
Find the binomial coefficient:200/1
Answer:
1/200????????????????
Step-by-step explanation:
Solve the following system of equations. 4x + 3y = -5
- 3x + 7y=13
Answer: 13
Step-by-step explanation:
4x+3y=-5 solve x :
4x = -3y + -5 | -3y
1x = -0.75y + -1.25 | : 4
-3x + 7y = 13 solve x :
-3x + 7y = 13 | -7y
-3x = -7y = 13 | : (-3)
Equalization Method Solution: -0.75y+-1.25=2.333y+-4.333
-0, 75y - 1,25 = 2,333y - 4, 333 solve y:
-0, 75y - 1,25 = 2,333y -4, 333 | -2,333y
-3, 083y - 1,25 = -4,333 | + 1, 25
-3. 083y = -3,088 | : (-3, 083)
y = 1
Plug y = 1 into the equation 4x + 3y = -5 :
4x + 3 · 1 | Multiply 3 with 1
4x + 3 = -5 | -3
4x = -8 | : 4
x = -2
So the solution is:
y = 1, x = -2
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
(9x-3)
(6x+3)
Answer: 2 =
Submit Answer
(5x2+14x-15)-(3x2+5x+7) simplify
Answer:
-241
Step-by-step explanation:
Hope this helps
Step-by-step explanation:
(5 × 2 + 14x - 15) - (3 × 2 + 5 + 7)(10 + 14x - 15) - (3 × 2 + 5x + 7)(10+14x-15) - (6 + 5x+7) (- 5+14x) - (6+5x+7)(-5+14x)-(13+5x) - 5+14x (13+ 5x) - 5 + 14x - 13 - 5x- 18+14x - 5xAnswer:- 18 + 9x
The list price on slacks is $22, and the list price on jumpers is $37. If Petit’s Clothing Store orders 30 pairs of slacks and 40 jumpers at a discount rate of 11%, what is the trade discount on the purchase?
Answer: $235.4
Step-by-step explanation:
Given
Price list on slacks is $22
Price list on jumpers is $37
Store ordered 30 pairs of slacks and 40 Jumpers
Total price becomes
\(\Rightarrow 22\times 30+37\times 40\\\Rightarrow \$2140\)
for a discount of 11%
Trade discount is \(2140\times 11\%\)
\(\Rightarrow 2140\times 0.11\\\Rightarrow \$235.4\)
Find non-invertible matrices A,B such that A+B is invertible. Choose A,B so that (1) neither is a diagonal matrix and (2) A,B are not scalar multiples of each other.A = [_____ _____][_____ _____]B = [_____ _____][_____ _____]
Matrices A and B are non-invertible matrices that can be added together to form an invertible matrix. To find these matrices, we can use the following steps:
Step 1: Choose a matrix A that is not a diagonal matrix and is not invertible. One example of such a matrix is
\(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\)
Step 2: Choose a matrix B that is not a diagonal matrix, is not invertible, and is not a scalar multiple of matrix A. One example of such a matrix is
\(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\)
Step 3: Add the matrices A and B together to form the matrix A+B. This matrix will be invertible, as shown below:
\(A+B = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]+\left[\begin{array}{ccc}0&0\\1&1\end{array}\right]=\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\)
Step 4: Verify that the matrix A+B is invertible by finding its determinant. The determinant of a 2x2 matrix is given by:
det(A+B) = (1)(1) - (1)(1) = 0
Since the determinant of the matrix A+B is not equal to zero, the matrix is invertible.
Therefore, the matrices \(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\) and \(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\) are non-invertible matrices that can be added together to form an invertible matrix \(A+B =\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\).
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The lowest common denominator of 1/2 ,1/4 , and 1/4 is:
Answer:
LCD = 24
Step-by-step explanation:
Equivalent Fractions with the LCD
1 1/2 = 36/24
3/8 = 9/24
5/6 = 20/24
3 = 72/24
Hope this Helped! :}
In a class of 80 Students, 30 offered mathematics, 20 offered Accountancy and 40 offered Economics. Those who offered both mathematics and accountancy are more than those who offered both Accountancy and Economics by 2. No student offered all the subjects and none offered both mathematics and Economics. Find the number of students who offered Accountancy only?
The number of students who offered Accountancy only is 10.
Let's represent the number of students who offered Mathematics as M, the number of students who offered Accountancy as A, and the number of students who offered Economics as E.
From the given information:
M = 30 (Number of students who offered Mathematics)
A = 20 (Number of students who offered Accountancy)
E = 40 (Number of students who offered Economics)
We are also given the following conditions:
M ∩ A > A ∩ E by 2
M ∩ E = 0
We know that the total number of students is 80, so:
M + A + E = 80
Now, let's solve for the number of students who offered Accountancy only.
We can start by substituting the given values into the equation:
30 + 20 + 40 = 80
Now, we need to find the value of A ∩ E (Number of students who offered both Accountancy and Economics).
Since none offered both Mathematics and Economics, we can subtract M from A:
A - M = A ∩ E
20 - 30 = A ∩ E
-10 = A ∩ E
Since A ∩ E cannot be a negative number, we know that A ∩ E = 0.
Now, let's use the first condition: M ∩ A > A ∩ E by 2.
Substituting the values, we have:
M ∩ A - A ∩ E = 2
M ∩ A - 0 = 2
M ∩ A = 2
Now, we can substitute the values of M ∩ A and M into the equation M + A + E = 80:
30 + A + 40 = 80
A + 70 = 80
A = 10
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If a random sample of 53 students was asked for the number of semester hours they are taking this semester. The sample standard deviation was found to be s = 4.7 semester hours. How many more students should be included in the sample to be 99% sure that the sample mean x is within 1 semester hour of the population mean for all students at this college?
Answer:
94 more students should be included in the sample.
Step-by-step explanation:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1-0.99}{2} = 0.005\)
Now, we have to find z in the Ztable as such z has a pvalue of \(1-\alpha\).
So it is z with a pvalue of \(1-0.005 = 0.995\), so \(z = 2.575\)
Now, find the margin of error M as such
\(M = z*\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.
How many students we need to sample to be 99% sure that the sample mean x is within 1 semester hour of the population mean?
We need to survey n students.
n is found when M = 1.
We have that \(\sigma = 4.7\)
So
\(M = z*\frac{\sigma}{\sqrt{n}}\)
\(1 = 2.575*\frac{4.7}{\sqrt{n}}\)
\(\sqrt{n} = 2.575*4.7\)
\((\sqrt{n})^{2} = (2.575*4.7)^{2}\)
\(n = 146.47\)
Rounding up
147 students need to be surveyed.
How many more students should be included...?
53 have already been surveyed
147 - 53 = 94
94 more students should be included in the sample.
A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space inside so they can also be used to store props.
The required amount of the space available is 0.045 cubic meter.
We need to determine Space inside the steps.
What is volume?The Volume is defined as the mass of object per unit density.
The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2
= 0.06 - 0.015
= 0.045 cubic meter
Hence, the required amount of the space available will be 0.045 cubic meter.
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Given: 15x < -45
Choose the solution set
a) {x l x<-3}
b) {x l x>-3}
c) {x l x< 3}
d) {x l x> 3}
help plsplsplspslpssl help meee
Answer:
B) 400
Step-by-step explanation:
Hope this helps! Pls give brainliest!
PLS HELP ME ANSWER THIS QUESTION..
Answer:
b. 4
c. 90⁰
Step-by-step explanation:
a. is in the diagram
Which linear inequality is represented by the graph?
y > 2x + 2
y ≥ One-halfx + 1
y > 2x + 1
y ≥ One-halfx + 2
Answer: y > 2x + 1
Step-by-step explanation:
In the graph first, we can see two things:
The line is not solid (so the values in the line are not included), and the shaded part is above, so we will be using the symbol:
y > f(x)
Now, in the line we can see that when x = 0, y = 1.
So the linear equation must be something like:
f(x) = a*x + 1
The only one that has an y-intercept equal to 1 is y > 2x + 1
Answer:
C or y>2x +1
Step-by-step explanation:
edge
Triangle DEF and triangle GHI are similar right triangles.
Based on this information, which statements are true? (Select all that apply.)
A.
The slope of the hypotenuse of triangle DEF is greater than the slope of the hypotenuse of triangle GHI.
B.
The slope of the hypotenuse of triangle DEF is equal to the slope of the hypotenuse of triangle GHI.
C.
The slope of the hypotenuse of triangle DEF is less than the slope of the hypotenuse of triangle GHI
D.
The relationship between the slope of the hypotenuse of triangle DEF and the slope of the hypotenuse of triangle GHI cannot be determined
E.
The slope of the hypotenuse of triangle GHI is similar to the slope of the hypotenuse of triangle DEF.
F.
The slope of the hypotenuse of triangle GHI is congruent to the slope of the hypotenuse of triangle DEF.
The statement(B)The slope of the hypotenuse of triangle DEF is equal to the slope of the hypotenuse of triangle GHI is true .
The slope of a line passing through two points A(x₁,y₁) and B(x₂,y₂) is calculated using the formula
slope = (y₂-y₁)/(x₂-x₁)
In the question ,
given that ΔDEF and ΔGHI are similar ,
and hypotnuse of ΔDEF is DF and hypotnuse of ΔGHI is GI ,
we can see that the coordinates of D = (-9,6) , F = (-6,4) and
coordinates of G = (-3,2) and I = (6,-4)
Using slope formula for line DF
we get ,
slope = (4-6)/(-6 - (-9))
= -2/(-6+9)
= -2/3 ...(i)
Using slope formula for line GI
we get ,
slope = (-4-2)/(6 - (-3))
= -6/(6+3)
= -6/9
In simpler form
= -2/3 ...(ii)
From equation (i) and equation (ii) , we can see that slope of hypotnuse of both the triangles are equal .
Therefore , only statement(B)The slope of the hypotenuse of triangle DEF is equal to the slope of the hypotenuse of triangle GHI , is true .
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Suppose Winston's annual salary as an accountant is $60,000 and his financial assets generate $4,000 per year in interest. One day, after deciding to be his own boss, he quits his job and uses his financial assets to establish a consulting business, which he runs out of his home. He outlays $8,000 in cash to cover all the costs involved with running the business and earns revenues of $150,000. What is Winston's economic profit?
$138,000
$150,000
$142,000
$78,000
Winston's economic profit based on the forgone salary of $60,000, and the revenue of $150,000 is $78,000. The correct option is therefore;
$78,000
What is an economic profit?An economic profit is a profit that accounts for both the explicit and implicit costs of a business. The economic profit is obtained from the difference between the total revenue and the costs including the opportunity costs.
The annual salary of Winston as an accountant = $60,000
The amount Winston's financial asset generates = $4,000 per year
The cost of running the business = $8,000
The amount Winston earns as revenue = $150,000
Therefore;
Winston's opportunity cost which is the forgone alternative, is the amount he earns as an accountant = $60,000
The interest of $4,000, earned from the financial asset = The cost of using the financial asset for the business
The cost of running the business = $8,000
The total cost = Opportunity cost + Cost of making use of the financial asset + The business running cost
The total cost = $60,000 + $4,000 + $8,000 = $72,000
The economic profit = The total revenue - The total cost
Therefore;
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PLEASE HELP
Find the Area
2cm
___cm^2
Answer:
3.14 cm^2
Step-by-step explanation:
1. Find radius:
If diameter is 2, divide it by 2 to get radius = 1
2. Find formula:
A=πr^2
3. Plug in:
A = π(1)^2
4. Solve (multiply):
A = π(1)^2:
3.14159265359
Or
3.14 cm^2
Answer:
3.14 cm^2
Step-by-step explanation:
A=\(\pi\)r^2
r=2
2/2=1
A=\(\pi\)(1)^2
=\(\pi\)1
≈3.14x1
≈3.14cm^2
Kylan had 1 ⅜ kilograms of fertilizer. He used some to fertilize a flower bed, and he only had ⅔ kilograms left. How much fertilizer was used in the flower bed?
Answer: 17/24
Step-by-step explanation:
let x be the fertilizer used in the flower bed
to find how much he has left
1 3/8 - x = 2/3
the fraction 1 3/8 we can write as 11/8
11/8 - x = 2/3
11/8 -2/3= x
we need the common denominator between 8 and 3, which is 24
33/24-16/24=17/24
THE DISTANCE OF A PARTICLE FROM
IT'S STARTING POINT AT TIME T
SECONDS IS GIVEN BY S= 80T - 1672.
WHAT IS THE VELOCITY OF THE
PARTICLE AFTER 2 SECONDS?
Answer:
the answer will be 3.........
how can you use pythagora's theorem to solve problems involving right-angled triangles
Using Pythagorean theorem, the length of the ladder is 10ft
What is Pythagorean Theorem?In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:
x² = y² + z²
In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.
To calculate the length of the ladder, we can write the formula as;
x² = 8² + 6²
x² = 64 + 36
x² = 100
x = √100
x = 10
The length of the ladder is 10 feet
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even though the elimination method is easy I still have trouble with it
Answer:
(1,2)
Step-by-step explanation:
x+4y = 9
2x -4y= -6
Add the equations together
x+4y = 9
2x -4y= -6
-------------------
3x +0y = 3
3x=3
Divide by 3
3x/3 = 3/3
x=1
Now find y
x+4y = 9
1 +4y =9
Subtract 1 from each side
4y = 8
Divide by 4
4y/4 = 8/4
y =2
There are between 25 and 35 students in a class.
The ratio of boys to girls is 4:7.
How many students are in the class?
Answer:
33
Step-by-step explanation:
ratio is 4:7 multiple of 2 its 8:14 which sum up to 22(below range) multiple of 3; it is 12:21 which sum up to 33 students(within range)
for multiple of 4; 16:28 which sum up to 44(above range)
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats