elect all equations that represent the number of subscribers, , in terms of months since the beginning of the year (when she had 150 subscribers).

After considering the given values we can come to the conclusion that the annual installment that has to be made to the investment fund to retire within the age of 40 with enough money to draw $75,000 per year until age 90, assuming a risky investment that earns 8% per year, is approximately $16,431.

To evaluate the equal annual installment that you need to make from age to age 40, we need to use the present value of an annuity formula:

PMT = (PV × r) / (1 - (1 + r)⁻ⁿ)

Here,

PMT= equal annual installment,

PV =present value of the investment fund at age 40,

r = expected annual rate of return on the fund,

n = number of years over which the payments will be made.

We can proceed by evaluating the present value of the investment fund that we need at age 40, based on the assumption that we will draw per year for the next years.

Let's call this present value PV2. Assuming an interest rate of r2 for the period from age 40 to age, we can calculate PV2 using the present value of a perpetuity formula:

PV2 = PMT2 / r2

Here,

PMT2 = annual draw we plan to make from age to age .

Next, we need to evaluate the present value of the investment fund at age, which we will call PV1. Now we can apply the future value of an annuity formula:

FV = PMT × ((1 + r)ⁿ⁻¹) / r

Here,

FV = future value of the annuity at age,

PMT = equal annual installment,

r = expected annual rate of return on the fund,

n = number of years over which the payments will be made (in this case, the number of years from age to age ).

We can then apply the present value formula to evaluate PV1:

PV1 = FV / (1 + r)ⁿ

Finally, we can apply substitution the values we have evaluated into the PMT formula to find the equal annual installment:

PMT = (PV1 × r) / (1 - (1 + r)⁻ⁿ)

Once we have calculated PMT, we can start making annual payments into the investment fund starting at age and continuing until age 40.

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The critical value based on the information will be zα/2 = -2.58

We want to find the critical values zα/2 and -zα/2 that correspond to these tail probabilities.

Using the standard normal distribution table for negative z scores, we can find the value that corresponds to a tail probability of 0.005. This is -2.58.

Using the standard normal distribution table for positive z scores, we can find the value that corresponds to a tail probability of 0.005. This is 2.58.

Therefore, the critical values are zα/2 = -2.58 and -zα/2 = 2.58.

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The car that is opposite car Number 12 is given as follows:

Car of Number 26.

The trains are travelling in opposite directions, hence, if car Number 19 of one train is opposite car Number 19 of the other, we have that the pattern is given as follows:

An so on...

The difference between 19 and 12 is given as follows:

19 - 12 = 7.

Hence the number of the car opposite the car 12 is given as follows:

19 + 7 = 26.

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The maximum value of f is (√2)/2, and the point (x, y) at which f has the maximum value on the constraint curve is (x, y) = (√2, -√2/2).

We have,

We set up the equation as:

L(x, y, λ) = f(x, y) - λg(x, y)

= x + y - λ(x² - 2y² - 4)

Then, we need to find the partial derivatives of L with respect to x, y, and λ, and set them equal to zero:

∂L/∂x = 1 - 2λx = 0

∂L/∂y = 1 + 4λy = 0

∂L/∂λ = x² - 2y² - 4 = 0

Solving the first two equations for x and y.

x = 1/(2λ)

y = -1/(4λ)

Substituting these values into the third equation.

(1/(2λ))² - 2(-1/(4λ))² - 4 = 0

Simplifying this equation.

λ² = 1/8

Taking the positive square root.

λ = 1/√8 = √2/4

Substituting this value of λ into the equations for x and y.

x = √2

y = -√2/2

To confirm that this is a maximum point, we need to check that it is indeed a maximum by checking the second partial derivative of L.

The second partial derivative of L.

∂²L/∂x² = -2λ

∂²L/∂y² = 8λ

∂²L/∂x∂y = 0

Substituting the value of λ into these expressions.

∂²L/∂x² = -√2/2 < 0

∂²L/∂y² = √2 > 0

Since the second partial derivative with respect to x is negative and the second partial derivative with respect to y is positive, this confirms that the point (x, y) = (√2, -√2/2) is a maximum point.

Tthe maximum value of f(x, y) = x + y subject to the constraint g(x, y) = x² - 2y² = 4.

f(√2, -√2/2) = √2 - √2/2 = (√2)/2

Thus,

The maximum value of f is (√2)/2, and the point (x, y) at which f has the maximum value on the constraint curve is (x, y) = (√2, -√2/2).

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Step-by-step explanation:

n = 10

m∠1 = 360°/ n

= 360°/10

= 36°

[tex] 2 × m∠2 = \frac{(n - 2)180}{n} \\ = \frac{(10 - 2)180}{10} \\ = \frac{8 \times 180}{10} \\ = 8 \times 18 \\ 2 × m∠2 = 144° \\ m∠2 = 72° [/tex]

I would correct my answer

Answer:

-----------------------

Given is a regular decagon.

It has 10 congruent sides and each angle opposite to sides is congruent to ∠1.

To find its measure divide 360° by the number of sides (angles):

Angle 1 is formed by two diagonals. Since all diagonals are of same length, the triangle formed by the diagonals and a side is isosceles.

It means there are two of ∠2 and one ∠1 in each triangle.

We know the measure of ∠1, now use the triangle sum property to find the measure of ∠2:

The matching choice is C

The maximum value of the objective function z = 5x + 4y is 12

From the question, we have the following parameters that can be used in our computation:

z = 5x + 4y

2x + 4y ≤8

5x + y ≤8

x ≥ 0, y ²0

This means that the objective function is

Max z = 5x + 4y

And the constraints are

2x + 4y ≤8

5x + y ≤8

x, y ≥ 0

When solved graphically, we have

(x, y) = (4/3, 4/3)

Substitute (x, y) = (4/3, 4/3) in the objective function

So, we have

z = 5 * 4/3 + 4 * 4/3

Evaluate

z = 12

Hence, the maximum value of the objective function is 12

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The combination of transformation that results in the image WXYZ from the pre-image QRST are:

In mathematics, rotation is a notion that originated in geometry. Any rotation is a movement of a specific space that retains at least one point. It can, for example, explain the motion of a rigid body around a fixed point.

A translation is a geometric transformation in Euclidean geometry that moves every point in a figure, shape, or space by the same distance in the same direction. A translation may alternatively be understood as the addition of a constant vector to each point or as altering the coordinate system's origin.

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The given graph shows a system of equations with two solutions

From the question, we have the following parameters that can be used in our computation:

The graph

The solution to the system of equations is the point of intersection between the lines on the graph

Using the above as a guide, we have the following:

Intersection points = (-2, - 4) and (2, 3) (approximately)

This means that the solution to the system of equations are approximately (-2, - 4) and (2, 3)

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The new quantity of firewood that is supplied at the price, would be A. 400 cords.

Use the formula for the slope of the supply curve to find the new quantity:

slope = ( Q2 - Q1 ) / ( P2 - P1 )

0.75 = ( Q2 - 300 ) / ( 348 - 255 )

0.75 = ( Q2 - 300 ) / 93

0.75 x 93 = Q2 - 300

69.75 = Q2 - 300

Q2 = 69.75 + 300

Q2 = 369. 75

Given that there are no options for 370 cords, we will pick the closest alternative of 400 cords.

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Answer:  b

Step-by-step explanation:

[tex]\frac{h^{\frac{1}{3} } }{h^{\frac{1}{4} } }[/tex]             I started to subtract exponents than shortly realized that form is not an answer.  The  want you to covert the top and bottom to roots and that is your anser.

When you have a number to a fractional exponent that is your root

[tex]=\frac{\sqrt[3]{h} }{\sqrt[4]{h} }[/tex]

which is b

The values of L and K which maximize production will be 18 and 216 respectively.

Production simply means the process of combining various inputs, both material and immaterial in order to create output. Ideally this output will be a good or service which has value and contributes to the utility of individuals

In this case, a company has 2700 dollars to invest, which must be divided between capital expenditures and labor and each unit of labor costs the company 10 dollars, and each unit of capital costs 10 dollars.

Hence, the values of L and K which maximize production will be 18 and 216 respectively.

Check the attachment.

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The required median of the given data set is 7 2/3. Option B is correct.

As the data set was given in the form of the number line, it became easy to calculate the mean,
From the observation the numbers in the data set can be estimated by counting the number of 'x', which is n =12,
The median is given as,
median = "n/2"th term + "n/2+1" th term / 2

median = 6th term + 7th term / 2

From the data set, proceed with counting x from the left until we reach to the 6th and 7th x where we found the value of 6th and 7th x are the same as 7 2/3, now put this value in the above expression.

Median = [7 2/3 + 7 2/3]  /2
Median = 7 2/3

Thus, the required median of the given data set is 7 2/3. Option B is correct.

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Answer:

g(x) = x^2 + 5

Step-by-step explanation:

You notice that g(x) is essentially just f(x) but moved upwards.

Using the formula a(x-h)^2 + k, you know that there is no vertical or horizontal stretch, so a is 1. You also know that h is 0 because there is no horizontal movement.

Lastly, you have k. Because the graph is moved up by 5, k = 5.

The equation is g(x) = x^2 + 5.

Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.

To test the claim that the proportion of American adults who eat salad once a week is equal to 80%, we will conduct a hypothesis test.

Claim: p = 0.80

Opposite: p ≠ 0.80

The test is a two-tailed z-test.

Sample proportion (p) = 374/445 = 0.8404

Test statistic= (0.8404 - 0.80) / sqrt((0.80 * (1 - 0.80)) / 445)

z = 2.53 (rounded to 2 decimals)

Significance level (α) = 0.005, so the critical values for a two-tailed test are -2.576 and 2.576.

Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.

Conclusion: There does not appear to be enough evidence to reject the claim that the proportion of American adults who eat salad once a week is equal to 80%.

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Answer:4/5 minute

Step-by-step explanation:Fastest girl time = 21/10 Slowest girl time = 34/10 difference = (34-21)/10 = 13/10 (3) Total time = 33/10 + 28/10 + 34/10 + 21/10 = 116/10 Previous record = 12 2/5 = 62/5 = 124/10 As the time taken by girls (116/10) is lower than the previous record (124/10) Therefore these girls are faster by (124-116)/10 = 8/10 minutes = 4/5 minutes

We can see that the correct equation that can depict the problem is 3(d+17.20) = 782.07. Option D

We have to look at the problem that we have here. In the case of the question that we have been asked, we can see that for the problem that has been given here, it is clear that; Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to park her car.

If it is known that Each night, the hotel charged d dollars and $17.20 for parking. We can say that let the amount that is charged for the lodging be d and we have the equation as; 3(d+17.20) = 782.07.

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The equation for this table is y = x + 6.

The graph and table is shown in the image below.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (9 - 7)/(3 - 1)

Slope (m) = 2/2

Slope (m) = 1

At data point (1, 7) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 7 = 1(x - 1)  

y = x + 6

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To find the approximate P-value for a given X² value and degrees of freedom (df),

we need to use a chi-square distribution table or calculator. Here are the approximate P-values for the given values of X² and df, rounded to three decimal places:

(a) X² = 6.62, df = 3

The P-value is 0.084.

(b) X² = 17.44, df = 10

The P-value is 0.076.

(c) X² = 28.94, df = 1

The P-value is < 0.001 (less than 0.001).

Note that the "<" symbol indicates that the P-value is very small and cannot be accurately calculated using the table.

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Answer:

The correct equation is A. y = (2/3)x - 2

Answer:

Step-by-step explanation:

The answer is -3 because when you add a positive number with a negitive number you subtract not add

Answer:

its step A

Step-by-step explanation:

it wants you to add instead of subtracting witch is trying to fool you

Yw and have a good day! :)

The measure of the angle ABC is 84 degrees and other measures are listed below

Here, we have

8n - 38 = 5n - 8

So, we have

3n = 30

n = 10

So, we have

ABC = 8n - 38 + 5n - 8

ABC = 8(10) - 38 + 5(10) - 8

ABC = 84

So, the measure of the angle ABC is 84 degrees

Here, we have

2k + 28 = 6k - 20

So, we have

4k = 8

k = 2

So, we have

CBW = 2k + 28

CBW = 2(2) + 28

CBW = 32

So, the measure of the angle CBW is 32 degrees

The interior angle is calculated as

Angle = 180 * (n - 2)/n

Regular 18-gon

Angle = 180 * (18 - 2)/18

Angle = 160

Regular 24-gon

Angle = 180 * (24 - 2)/24

Angle = 165

Here, we have

3x - 10 = x + 8

So, we have

2x = 18

x = 9

So, we have

YA = MA = 9 + 8

YA = MA = 17

Hence, the measures of YA and MA are 17

Here, we have

4x - 15 = 2x - 3

So, we have

2x = 12

x = 6

So, we have

NY = 2(6) - 3

NY = 9

NV = 2 * 9

NV = 18

Hence, the measures of NY and NV are 9 and 18, respectively

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a=2/5 uts the answer

because it's the answer you add and it start with abcd

Answer: x^2 - 16x - 10 = 0.

Step-by-step explanation:

To find an equation that has the same solution as x^2 - 16x - 15 = -5, we can set the right-hand side of the equation to zero and solve for x.

x^2 - 16x - 15 + 5 = 0

x^2 - 16x - 10 = 0

So, the equation that has the same solution as x^2 - 16x - 15 = -5 is x^2 - 16x - 10 = 0.

The measure of the smallest angle is 26 degree.

We have,

Triangle's angle measures of (x+3)º,(5x-8)º, and (2x+1)º

Using Angle Sum Property

(x+ 3) + (5x - 8) + (2x + 1)= 180

8x - 4 = 180

8x = 184

x = 184/8

x = 23

Thus, the measure of angles are

x+ 3 = 23+ 3 = 26

5x-8 = 5(23) - 8 = 107

2x +1 = 2(23) + 1 = 47

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The norm or magnitude of 2v is 11.66. To find the norm, we first need to calculate 2v, which is 10i-6j. Then, we use the formula ||2v|| = [tex]\sqrt{ (100i^2 + 36j^2)[/tex] to find the magnitude of vector 2v, which simplifies to √136 or 11.66 when rounded to two decimal places.

To take care of this issue, we first need to comprehend what the vectors I and j address. In two-layered Cartesian space, I and j are unit vectors along the x-hub and y-hub, separately. That is, I = (1, 0) and j = (0, 1).

Presently, we can communicate the vector v as 5i-3j, and that implies that it has a greatness of √[tex](5^2 + (- 3)^2)[/tex] = √34.

Then, we really want to track down the standard or size of 2v, which is two times the vector v. That is,

2v = 2(5i-3j)

= 10i-6j

To track down the extent of 2v, we can utilize the equation ||2v|| = √( [tex](10i)^2 + (- 6j)^2[/tex] ).

Figuring out the two terms and disentangling, we get

||2v|| = √([tex]100i^2 + 36j^2[/tex])

Since [tex]i^2[/tex] = 1 and[tex]j^2[/tex] = 1, this streamlines to

||2v|| = √(100+36)

= √136

= 11.66 (adjusted to two decimal spots)

Hence, the standard or extent of 2v is 11.66.

To sum up, we began with the vector v = 5i-3j and viewed its greatness as √34. Then, at that point, we multiplied this vector to get 2v = 10i-6j and utilized the equation ||2v|| = √[tex]( (10i)^2 + (- 6j)^2 )[/tex] to find its size, which ended up being 11.66.

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The complete question is:

Let v = 3i-2j and w = 5i+j. Find 2v-w. None of the given answers o 11i-5j oi-5j o i-3; 0 7i+4j

The graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.

The graphical solution to a system of equations is a method of finding the point of intersection between the graphs of the equations. We plot each equation as a line on the same coordinate plane, and then find the point where the lines intersect.

If we have two equations in two variables, the solution to the system is the point where the two lines intersect. Also if there are three equations in three variables, the solution is the point where the three planes intersect.

In conclusion, the graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.

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