She makes a base salary of $2,500 per month plus 5% of the cost of each vacation. This month she sold $80,000 in cruises. What are her total monthly wages?

Answer:

x = 3

Step-by-step explanation:

Is x an exponent?

\( y = 3^x \)

\( 27 = 3^x \)

\( 3^3 = 3^x \)

\( x = 3 \)

A line is the shortest distance between two points. The value of x from the given parameters is 3

A line is defined as the shortest distance between two points. Given the following parameters

TU = 1 - x,

UB = 4x + 17,

TB = -3x

According to the addition postulate;

TU + UB = TB

Substitute the given parameters to have:

1 - x + 4x + 17 = -3x

Collect the like terms to have:

1+3x+17 = -3x

3x+3x = -1-17

Simplify

6x = -18

Divide both sides by 6

6x/6 = -18/6

x = -18/6

x = -3

Hence the value of x from the given parameters is 3

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Answer:

Step-by-step explanation:

As they are in proportion,

x +4  : x +12   :: x -1  : x + 5

Product of means  = Product of extremes

(x + 12)(x -1) = (x +4)(x+5)

Use FOIL method for polynomial multiplication

x*x + x*(-1) + 12*x + 12*(-1) = x*x +  x*5  + 4*x + 4*5

x² - x + 12x - 12 = x² + 5x + 4x + 20

Combine like terms

x² + 11x - 12 = x² + 9x + 20

x² + 11x - 12 - x² - 9x - 20 = 0

Combine like terms

x² - x² + 11x -9x   -12 -20 = 0

2x - 32 = 0

2x = 32

x = 32/2

x = 16

Answer:

The image points are given as;

I' ( -3,0 )

J'( 0,3 )

K'( 2,2)

L'(1,-1 )

Step-by-step explanation:

The object points has coordinates at;

I (5,0)

J(2,3)

K(0,2)

L(1,-1 )

The object points are reflected across line x= 1 to get image of objects points at ;

I' ( -3,0 )

J'( 0,3 )

K'( 2,2)

L'(1,-1 )

Attached is the graph for the object points and image points after reflection across x= 1

Answer:

a 90° clockwise rotation about the origin and then a reflection a cross the x-axis

The correct sequence is  90° clockwise rotation about the origin and then a reflection a cross the x-axis.

There are two different directions of rotations, clockwise and counterclockwise: Clockwise Rotations (CW) follow the path of the hands of a clock. These rotations are denoted by negative numbers. Counterclockwise Rotations (CCW) follow the path in the opposite direction of the hands of a clock.

So, according the given transformation the point A' appears on right side then is clockwise rotation.

If it was counterclockwise rotation then point A' appears on left side.

After that is over x- axis then it is reflection across the x-axis.

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Answer:

1: Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.

2: im not suree

Step-by-step explanation:

Answer:

The sixth rod is 35.20 cm.

Step-by-step explanation:

Get the total length of the 6 rods.

Total length = 6(44.2cm)

= 265.20 cm

Get the total length of 5 rods

Length of 5 rods = 5(46cm)

=230cm

The length of the sixth rod is the difference between the two.

Length of the sixth rod = 265.20 cm - 230 cm

length = 35.2 cm

As per the borrowed amount, the value of IRR is 6.40%

The term IRR is the internal rate of return is a metric used in financial analysis to estimate the profitability of potential investments.

Here we have know that Maggie green just borrowed $5,000. she is planning to pay it back in 5 equal installments of $1,200.

Now, we have to calculate the value of IRR,

The general form of the IRR formula is written as,

=> NPV = \(\sum\limits^T_{t=1} {\frac{C_t}{(1+r)^t} }\ -C_0\)

where r is the discount rate / interest rate and T is the number of cash flow periods with t denoting a specific period, C0 is the initial investment while Ct is the return during period t.

Here we apply the values on it, then we get,

=> \(NPV = \sum\limits^5_{t=1} {\frac{1200_t}{(1+r)^t} }\ -5000\)

When we simplify this one then we get,

=> Internal Rate of Return = 6.402%

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Answer:

156 divided by 13

Step-by-step explanation:

  156/12 =  13

13 bags

Answer:

the mode number of hours is 4 because is the hour spent mostly on the computer

therefore the mode number of hours is 4 hours

These values of h and k are specific to the given system of equations and may not apply to other systems.

(a) The system has no solution when h = 16.
(b) The system has a unique solution for any value of h ≠ 16.
(c) The system has many solutions when h = 16.

To determine the values of h and k that result in different solutions for the given system of equations, let's analyze the coefficient matrix of the system:
```
2   4
8   h
```
(a) To have no solution, the coefficient matrix must be inconsistent. This occurs when the determinant of the matrix is zero. In this case, the determinant is 2h - 32. So, to have no solution, we need 2h - 32 = 0. Solving this equation, we find h = 16. Therefore, the system has no solution when h = 16.

(b) To have a unique solution, the coefficient matrix must be consistent and have a non-zero determinant. This means that 2h - 32 ≠ 0. Since the determinant of the coefficient matrix is 2h - 32, we can conclude that the system has a unique solution for any value of h such that h ≠ 16.
(c) To have many solutions, the coefficient matrix must be consistent and have a determinant of zero. In this case, we need 2h - 32 = 0, which gives us h = 16. Therefore, the system has many solutions when h = 16.

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Answer: To check a solution, you can substitute the solutions into the equations and verify that both equations are true.

Step-by-step explanation:

Answer:

6.)

The answer is 63 inches because this value is closer to the mean and while the data is positively skewed (as in the mean is greater than the median) it's not by that much.

7.)

This would mean that the data is symmetric. By this, I mean that there would have to be an equal amount of data on either side of the mean. For example, for every entry 2 units below from the mean there must be one 2 units above the mean and so on. There would also have to be many entries on the mean/median (so that it would also be the mode)

8.)

We can observe that there are no real outliers that would heavily influence the data and so we can just take the mean

the mean of student A is: (68+72+73+67)/4= 70

The mean of student B is: (74+73+73+74)/4=73.5

We can see that student A, on average, is closer to 70 than student B and can therefore conclude that student A is more percise

Answer: 360 Yards of land is the answer

Step-by-step explanation:

Answer:

Algebrically the result can be written as -

\(9 {x}^{2} + 24x + 16\)

Step-by-step explanation:

Let the number be 'x'.

Answer:

in the triangle below, suppose that mL G=(7×-3)°, mLH=(2×-7)°, and mall=×°,

find the degree measure of each angle in the triangle.

Answer:

X > 10

Step-by-step explanation:

since we know the greater sign to be >, we just add the equal to sign =

x  > 10

The third one, 2 to the power of 5 over 6

√2 * 3√2

convert from radical form to exponent form to solve for the same root

( x^m/n = n√x^m )

2^(1/2) * 2^(1/3)

2^{3/6} * 2^{2/6} - find common denominator (6)

6√(2^3) * 6√(2^2) - convert back to radical form

6√(2^3 * 2^2)- combine

6√(2^5)

then convert to exponential form again

~ 2^5/6 ~

Answer:

3rd answer.

Step-by-step explanation:

Scenario 1A:

Coinsurance amount is $90

Medicare payment is $360

Provider write-off is $290

Scenario 1B:

Remaining amount for Insurance and patient to pay is $350

Coinsurance amount is $70

Total paid by patient is $170

Medicare payment is $280

Provider write-off is $370

Scenario 1A:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Coinsurance amount (20% paid by patient): $

Medicare payment (80% of the PFS): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Coinsurance amount (20% paid by patient):

Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)

Coinsurance amount = 0.2 * $450 = $90

Medicare payment (80% of the PFS):

Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)

Medicare payment = 0.8 * $450 = $360

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $360 = $290

Scenario 1B:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Patient pays $100 remaining on their deductible

Remaining amount for Insurance and patient to pay: $

Coinsurance amount (20% of remaining amount): $

Total paid by patient (deductible & 20% of remaining): $

Medicare payment (80% of the remaining amount): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Remaining amount for Insurance and patient to pay:

Remaining amount for Insurance and patient to pay = PFS - remaining deductible

Remaining amount for Insurance and patient to pay = $450 - $100 = $350

Coinsurance amount (20% of remaining amount):

Coinsurance amount = 20% of the remaining amount

Coinsurance amount = 0.2 * $350 = $70

Total paid by patient (deductible & 20% of remaining):

Total paid by patient = remaining deductible + coinsurance amount

Total paid by patient = $100 + $70 = $170

Medicare payment (80% of the remaining amount):

Medicare payment = 80% of the remaining amount

Medicare payment = 0.8 * $350 = $280

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $280 = $370

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Answer:correct

Step-by-step explanation: your answer is partially correct but not fully try developing it a little more will you

a.we get, `A = √(2α³/π)`.

b.`⟨H⟩ = (3/4)hω - (h²/4ma²)` where `a = α/√(mω/h)`.

c.we can say that the variational principle is valid in this case.

(a) Let's find the normalization constant A.

We know that the integral over all space of the absolute square of the wave function is equal to 1, which is the requirement for normalization.  `∫⟨ψ|ψ⟩dx= 1`

Hence, using the given trial wavefunction, we get, `∫⟨ψ|ψ⟩dx = ∫ |A/(x^2+α²)|²dx= A² ∫ dx / (x²+α²)²`

Using a substitution `x = α tan θ`, we get, `dx = α sec² θ dθ`

Substituting these in the above integral, we get, `A² ∫ dθ/α² sec^4 θ = A²/(α³) ∫ cos^4 θ dθ`

Using the identity, `cos² θ = (1 + cos2θ)/2`twice, we can write,

`A²/(α³) ∫ (1 + cos2θ)²/16 d(2θ) = A²/(α³) [θ/8 + sin 2θ/32 + (1/4)sin4θ/16]`

We need to evaluate this between `0` and `π/2`. Hence, `θ = 0` and `θ = π/2` limits.

Using these limits, we get,`⟨ψ|ψ⟩ = A²/(α³) [π/16 + (1/8)] = 1`

Therefore, we get, `A = √(2α³/π)`.

Hence, we can now write the wavefunction as `ψ(x) = √(2α³/π)/(x²+α²)`.  

(b) Using the wave function found in part (a), we can now determine the expectation value of energy using the time-independent Schrödinger equation, `Hψ = Eψ`. We can write, `H = (p²/2m) + (1/2)mω²x²`.

The first term represents the kinetic energy of the particle and the second term represents the potential energy.

We can write the first term in terms of the momentum operator `p`.We know that `p = -ih(∂/∂x)`Hence, we get, `p² = -h²(∂²/∂x²)`Using this, we can now write, `H = -(h²/2m) (∂²/∂x²) + (1/2)mω²x²`

The expectation value of energy can be obtained by taking the integral, `⟨H⟩ = ⟨ψ|H|ψ⟩ = ∫ψ* H ψ dx`Plugging in the expressions for `H` and `ψ`, we get, `⟨H⟩ = - (h²/2m) ∫ψ*(∂²/∂x²)ψ dx + (1/2)mω² ∫ ψ* x² ψ dx`Evaluating these two integrals, we get, `⟨H⟩ = (3/4)hω - (h²/4ma²)` where `a = α/√(mω/h)`.

(c) Since we have an approximate ground state wavefunction, we can expect that the expectation value of energy ⟨H⟩ should be greater than the true ground state energy.

Hence, the value obtained in part (b) should be greater than the true ground state energy obtained by solving the Schrödinger equation exactly.

Therefore, we can say that the variational principle is valid in this case.

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The minimum number of sets of knives Kaj should buy if the restaurant needs at least 736 knives is 48. 4 sets of knives

155 + 12x ≥ 736

12x ≥ 736 - 155

12x ≥ 581

x ≥ 581 / 12

x ≥ 48.41666666666666

Approximately,

x ≥ 48. 4 sets of knives

In conclusion, the sets of knives kaj needs to buy more is 48. 4 sets of knives

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The equation  -x + 3 = y has a slope of 1 and a y-intercept of 3. The equation y = 1 - 3r has a slope of -3 and a y-intercept of 1. The equation  X = y has a slope of 1 and a y-intercept of 0. The equation y = 3x - 1 has a slope of 3 and a y-intercept of -1.

To identify the slope and y-intercept of each linear function's equation, we can rewrite the equations in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
Let's go through each equation step by step:
1. -x + 3 = y:
To rewrite this equation in slope-intercept form, we need to isolate y on one side. Adding x to both sides, we get 3 + x = y. Now the equation is in the form y = x + 3. The slope, m, is 1, and the y-intercept, b, is 3.
2. y = 1 - 3r:

This equation is already in slope-intercept form, y = mx + b. The slope, m, is -3, and the y-intercept, b, is 1.
3. X = y:
To rewrite this equation in slope-intercept form, we need to isolate y. Subtracting x from both sides, we get -x + y = 0. Rewriting, we have y = x. The slope, m, is 1, and the y-intercept, b, is 0.
4. y = 3x - 1:
This equation is already in slope-intercept form, y = mx + b. The slope, m, is 3, and the y-intercept, b, is -1.

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The estimated cost of producing the 15th unit is $10.30.

Given the following information about a process that makes high-end boards that get mounted on skateboards:Process starts with a unit cost of $13 for the first unit. Learning rate of LR = 0.90.

Solution :Let's use the learning curve formula to calculate the estimated cost of producing the 15th unit.C = a * N^b .Where:

C = cost per unit ,N = cumulative production volume, a = the unit cost of the first unit, b = log(LR) / log(2) = log(0.90) / log(2) = -0.152N = 15a = 13 (given)

Now, b = -0.152

Therefore ,C = 13 * (15)^(-0.152)C = 13 * 0.789C = 10.3 dollars.

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Answer:

y = 3/4x-3

Step-by-step explanation:

The equation of a line in slope intercept form is

y = mx+b where m is the slope and b is the y intercept

The y intercept is -3 ( where it crosses the y axis)

The slope is  change in y over change in x

We go up 3 and over to the right 4

The slope is 3/4

y = 3/4x-3

Simplify the given expression as follows:

The missing numbers are - 5 and - 4.

Answer:

-8/4 or -2

Step-by-step explanation:

First of all notice the graph is negative. Meaning that this will be a negative slope.

Now we can use rise over run, counting up 8 spaces, and to the left 4.

Since the graph is negative make the rise negative. -8/4.

To simplify this fraction divide -8 by 4, and receive an answer of -2.

-Hope this helped