What is the solution for x 10x-3x+8=-3+7x+11

Pred Brown & Sons would need to raise an additional capital of $12.3 million to support the 30 percent increase in sales.

To calculate the additional funds needed (AFN) using the AFN formula, we can use the following equation:

AFN = (S1 - S0) × (A/S0) - (L/S0) - (M × S1)

Where:

S1 is the projected sales for the next year

S0 is the current sales

A* is the target asset-to-sales ratio

L* is the target liability-to-sales ratio

M is the retention ratio (1 - dividend payout ratio)

Given information:

Current sales (S0) = $500 million

Projected sales increase = 30%

Current total assets = $400 million

Dividend payout ratio = 60%

First, calculate the projected sales for the next year:

S1 = S0 × (1 + sales increase)

S1 = $500 million × (1 + 30%)

S1 = $650 million

Next, calculate the AFN:

AFN = (S1 - S0) × (A*/S0) - (L*/S0) - (M × S1)

AFN = ($650 million - $500 million) × ($400 million/$500 million) - ($15 million/$500 million) - (0.4 × $650 million)

AFN ≈ $12.3 million

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Answer:

a=12

Step-by-step explanation:

Let (a) be the undefined variable

from the sentence you get the equation

(8+a)/4 = 1+a/3

times both sides by 4

8+a=4+4a/3

times by 3

24+3a=12+4a

12=a

\( \implies12\)

\(\therefore\) The number is 12.

Answer: x=-0.792

Step-by-step explanation:

For this problem, you want to get like terms onto one side, then solve for x.

\(\frac{1}{25}=5x+4\)

\(-\frac{99}{25} =5x\)

x=-0.792

Answer: 1578

Step-by-step explanation:

The answer is 1578

Answer:

1578.8333

Step-by-step explanation:

Answer:

distance = 7.07 units

Step-by-step explanation:

x difference = 7

y difference = -1

using the Pythagorean theorem:

7² + -1² = d²

d² = 49 + 1 = 50

d = 7.07

Answer:

7.1

Step-by-step explanation:

distance between the x is 7 and y is 1

And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2

c=50

and take the square root, which is 7.071, rounds to 7.1

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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The point A after reflection over the line y = 1 becomes A' (-3,3).

Reflection is the process that turns a thing into a mirror image. Any line may be the mirror image in either case.

We have the line y=1

Point A before reflection is A = (-3,-1)

After reflection, the point is shifted along y axis and x remains same.

So, Reflection about y=1 of point A:

A -> A'

( x, y) -> ( x, y+4)'

Put the values of x and y

(-3, -1) -> ( -3, -1+4)'

(-3, -1) -> (-3, -1) -> ( -3, -1+4)'

Thus, the point A will transform to the point A' (-3, 3).

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The number of fruits that he sold is given as follows:

For a total of 178 fruits.

The amount of fruits sold is obtained solving a system of equations, for which the variables are given as follows:

Mr Chan has 154 more apples than pears, hence:

x = 154 + y.

After selling 4/7 of the apples(3/7 remaining) and 1/2 of the pears, he had 144 fruits left, hence:

3x/7 + y/2 = 144.

Replacing the first equation into the second, the value of y is given as follows:

3(154 + y)/7 + y/2 = 144

6(154 + y) + 7y = 2016.

y = 84.

Then the value of x is given as follows:

x = 154 + 84

x = 238.

The amounts sold are given as follows:

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Answer:

8+8+55+55+88

Step-by-step explanation:

The surface area is the sum of all the sides

We have 5 sides

Top and bottom are the same

The area of the top is

1/2 bh = 1/2 (8)(2) = 8

The left and right sides are the same

The area of the left side is

5*11 = 55

The area of the front is

8*11 = 88

The sum of all the 5 sides are

top + bottom + left + right + front

8+8+55+55+88

Answer:

8 + 8 + 55 + 55 + 88

Step-by-step explanation:

Calculate area of base.

8 × 2 × 1/2 = 8

There are two triangles:

8 + 8

Calculate area of rectangle.

8 × 11 = 88

Calculate the areas of two rectangles.

5 × 11 = 55

55 + 55

Answer:

Step-by-step explanation:

Pythagorean theorem,

hypotenuse²= base² + altitude²

base² = hypotenuse² - altitude²

x² = 14² - 9²

   = 196 - 81

    = 115

x = √115

x = 10.72

a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.

b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.

a) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.

b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.

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Answer:

14x - 4 + 13x + 2

= 14(6) - 4 + 13(6) + 2

= 160

To write 28/25 as a percentage we need to multiply the fraction by 100 as follows:

Answer:

830

Step-by-step explanation:

Just divide the number by 7

Answer:

4 1/2

Step-by-step explanation:

4 full sections of 2 and one section that is just 1

also 3 divided by 2/3 is also 9/3 divided by 2/3 and 2 goes into 4.5 times

Applying the trigonometric ratios, the values of the sides of the triangle are: a ≈ 22.7; b ≈ 10.6.

To find the missing side a, in the right triangle shown above, the trigonometric ratio we would apply is he cosine ratio, which is:

cos ∅ = adjacent length / hypotenuse length.

∅ = 25 degrees

Adjacent length = a

Hypotenuse length = 25

Substitute:

cos 25 = a / 25

a = 25 * cos 25

a ≈ 22.7

To find the missing side b, the trigonometric ratio we would apply is he sine ratio, which is:

sin ∅ = opposite length / hypotenuse length.

∅ = 25 degrees

Opposite length = b

Hypotenuse length = 25

Substitute:

sin 25 = b / 25

b = 25 * sin 25

b ≈ 10.6

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Answer:

300 min

5 hours

Step-by-step explanation:

The units that could apply to the variable t representing the amount of time the workers have left to clean the windows are hours or minutes, not workers or buildings. None of the given Options.

The variable t represents the amount of time the workers have left to clean the windows. From the given information, it is stated that it takes a total of 12 hours to clean the windows of the office building, and on the first day, the workers were able to clean for 9 hours.

Therefore, the remaining time left to clean the windows can be expressed as 12 - 9 = 3 hours.

Based on this, we can determine the appropriate units for the variable t. Since t represents time, the units that apply to this variable should also be units of time. In this case, the units of time that could apply to the variable t are hours or minutes.

OA. workers is not an appropriate unit for the variable t because it represents the number of individuals performing the task, not the amount of time remaining.

B. buildings is also not an appropriate unit for the variable t because it represents the number of office buildings, which is unrelated to the amount of time left to clean the windows. None of the given Options is correct.

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We get that the radius is 3 ft and the length is 29 ft so the volume is

the approximate value is:

I think that this number is already prime.

Step-by-step explanation:

I could be wrong

\(\cfrac{\stackrel{Ann}{120}}{\underset{Betty}{b}}~~ = ~~\stackrel{ratio}{\cfrac{2}{3}}\implies 360=2b\implies \cfrac{360}{2}=b\implies 180=b\)

1/2

what is whole number?

All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions. Whole numbers include counting numerals as well.

According to question,

heaviest squash than the lightest squash are,

\(7/8-3/8=4/8\)

\(=1/2\)

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The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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The length of the third side of the triangle with a perimeter of 7x + 8 is 2x + 3

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

A triangle is a polygon that has three sides. The perimeter of a triangle is the sum of all the three sides.

Hence:

Perimeter of triangle = side 1 + side 2 + side 3

A triangle has a perimeter of 7x + 8. the first side of the triangle has a length of 3x, and the second side has a length of 2x − 5.

Hence:

Perimeter of triangle = side 1 + side 2 + side 3

7x + 8 = 3x + (2x - 5) + side 3

7x + 8 = (5x - 5) + side 3

side 3 = 7x + 8 - (5x - 5)

side 3 = 2x + 13

The length of the third side is 2x + 3

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To get from the number of eggs used to make a certain number of cookies to the number of eggs needed to make some other number of cookies, you would use a proportional relationship.

Let's say x represents the number of eggs used to make a certain number of cookies, y represents the number of cookies made, and z represents the number of eggs needed to make some other number of cookies.

Then, we can set up the proportion:

x eggs / y cookies = z eggs / (some other number of cookies)

We can then solve for z by cross-multiplying:

z eggs = x eggs * (some other number of cookies) / y cookies

This formula tells us how many eggs are needed to make the specified number of cookies, based on the number of eggs used and the number of cookies originally made.

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Answer:

\(-\frac{5}{32}\)

Step-by-step explanation:

\(\frac{1}{2(2)^4}-\frac{3}{4(2)^2} \\\frac{1}{32} - \frac{3}{16} = -\frac{5}{32}\)

Answer:

22-17

Step-by-step explanation: the sequence is going by -5