is the expression 3(x+2) equivalent to 3 x+6? explain

Answer:

Step-by-step explanation:

To calculate the depreciation expense for each year of the equipment's life using the diminishing-balance method, we need to first find the straight-line rate, and then find the diminishing-balance rate by doubling the straight-line rate.

Step 1: Calculate the straight-line rate

The straight-line rate can be calculated as follows:

SLR = (Cost - Residual Value) / Useful Life

SLR = (32900 - 4700) / 4

SLR = $27,600 / 4

SLR = $6,900 per year

Step 2: Calculate the diminishing-balance rate

The diminishing-balance rate can be calculated as follows:

DBR = 2 * SLR

DBR = 2 * $6,900

DBR = $13,800

Step 3: Calculate the depreciation expense for each year

The depreciation expense for each year can be calculated as follows:

Year 1: Depreciation Expense = Cost * (DBR / 2)

Year 1: Depreciation Expense = $32,900 * ($13,800 / 2)

Year 1: Depreciation Expense = $32,900 * $6,900

Year 1: Depreciation Expense = $227,621

Year 2: Depreciation Expense = (Cost - Year 1 Depreciation) * (DBR / 2)

Year 2: Depreciation Expense = ($32,900 - $22,761) * ($13,800 / 2)

Year 2: Depreciation Expense = $10,139 * $6,900

Year 2: Depreciation Expense = $70,223

Year 3: Depreciation Expense = (Cost - Year 1 Depreciation - Year 2 Depreciation) * (DBR / 2)

Year 3: Depreciation Expense = ($32,900 - $22,761 - $70,223) * ($13,800 / 2)

Year 3: Depreciation Expense = $10,016 * $6,900

Year 3: Depreciation Expense = $68,609

Year 4: Depreciation Expense = (Cost - Year 1 Depreciation - Year 2 Depreciation - Year 3 Depreciation) * (DBR / 2)

Year 4: Depreciation Expense = ($32,900 - $22,761 - $70,223 - $68,609) * ($13,800 / 2)

Year 4: Depreciation Expense = $21,307 * $6,900

Year 4: Depreciation Expense = $146,763

So, the depreciation expenses for each year of the equipment's life are:

Year 1: $22,761

Year 2: $70,223

Year 3: $68,609

Year 4: $146,763

This is how you can calculate the depreciation expense for each year of the equipment's life using the diminishing-balance method.

Answer:

12

Step-by-step explanation:

3+2+7=12

Hope this helps! Please give brainliest!

Answer:

Step-by-step explanation:

To solve the equation (3x + 20)^2 = 125 using the square root method, we start by taking the square root of both sides:

√[(3x + 20)^2] = √125

3x + 20 = ± 5

Next, we subtract 20 from both sides:

3x = -20 ± 5

Finally, we divide both sides by 3:

x = -8 or x = 3/3

So, the two solutions to the equation (3x + 20)^2 = 125 are x = -8 and x = 1. These solutions are in radical form and are already simplified.

Answer: x=0.545455

Step-by-step explanation:

add 216 to both sides

divided both sides by 1331

take cube root

Tony can afford the car insurance, and he has enough money( $426.33 ) left over each month to cover other expenses.

We need to calculate the cost of the insurance and compare it to his monthly pay.

According to the information given,

Tony's yearly pay is $8,320

and his monthly pay is $693.

If we round his yearly pay to $8,000, his monthly car insurance will be 1/30 of that amount, or $266.67.

Since Tony's monthly pay is $693, and his monthly car insurance will cost $266.67, he can afford the insurance. He will have $426.33 remaining each month after paying for the insurance.

Therefore, Tony can afford the car insurance, and he has enough money left over each month to cover other expenses. However, this calculation assumes that Tony has no other major expenses or debts, and it is always a good idea to budget carefully and consider all potential costs before making a significant purchase.

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According to the diagram, angle JKL is

Adjacent angles are angles that share a common vertex and a common side, but do not overlap. In a trapezoid, adjacent angles can be any pair of angles that share a common vertex and a common side.

angle JKL and angle MKL are adjacent angels having same vertex at k

angle JKM = angle JKL  angle MKL

94 = angle JKL + 47

angle JKL = 94 - 47

angle JKL = 47

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On solving the provided question, we can say that  the linear equation are 3y - 2x = -9 and y = -2x +5 => 3(-2x +5) - 2x = -9 => x = 3

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

the linear equation are

3y - 2x = -9 and y = -2x +5

3(-2x +5) - 2x = -9

-6x + 15 -2x = -9

-8x = -24

x = 3

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There is 1 way to obtain at least two tails when you toss 9 fair coins.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

If you toss 9 fair coins, there are 2⁹ = 512 possible outcomes.

The number of ways to obtain zero or one tail is equal to the number of ways to obtain all heads or one head and the rest of tails, which is 2⁹ - 1 = 511.

Therefore, the number of ways to obtain at least two tails is the complement of the number of ways to obtain zero or one tail, which is 512 - 511 = 1.

Therefore, there is 1 way to obtain at least two tails when you toss 9 fair coins.

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Answer:

350

Step-by-step explanation:

∑ (xy) means the sum of the products of x and y , that is

∑ (xy)

= (7 × 2) + (2 × 5) + (5 × 7) + (9 × 4) + (6 × 2) + (10 × 9) + (9 × 9) + (8 × 4) + (4 × 10)

= 14 + 10 + 35 + 36 + 12 + 90 + 81 + 32 + 40

= 350

Answer:

The equation of the line that is perpendicular to y= 3/2x - 4 and goes through the point (2,-2) is y = -2/3x + 4.

Step-by-step explanation:

f(x) = ax + b, where a and b are real values, is the formula for a linear function. In this instance, a denotes the line's gradient, and b denotes the y-axis intercept (which is sometimes called the vertical intercept).

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Desert 2 will be 4,000,000 square miles and Desert 1 will be 12,000,000 square miles.

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

Desert 1 = 3x

Desert 2 = x.

Total area = 16,000,000

x + 3x = 16000000

4x = 16,000,000

Divide

x = 16000000 / 4

x = 40000000

Desert 2 = 4,000,000 square miles

Desert 1 = 12,000,000 square miles.

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Answer:

This is a Right Triangle because the last angle is 90 degrees.

Answer:

c = 8

Step-by-step explanation:

4x³ + cx² + x + 2 ÷ x + 2 = ...

first we divide

4x³ + cx² by x + 2

and that is by doing 4x³/x = 4x².

4x³ + cx² + x + 2 ÷ x + 2 = 4x² ...

now we need to find the remainder, as with regular number divisions :

4x² × (x + 2) = 4x³ + 8x²

which we need to subtract from the left side

4x³ + cx² + x + 2 ÷ x + 2 = 4x² ...

- 4x³ + 8x²

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

0 cx² - 8x²

now we pull down the next position (x) and divide that by x + 2

4x³ + cx² + x + 2 ÷ x + 2 = 4x² + 1

- 4x³ + 8x²

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

0 cx² - 8x² + x

and the same again, to find the remainder, we have to subtract 1×(x + 2) = x + 2 from the left side

4x³ + cx² + x + 2 ÷ x + 2 = 4x² ...

- 4x³ + 8x²

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

0 cx² - 8x² + x

- x + 2

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

cx² - 8x² 0 0

the polynomial is divisible by x + 2, if the remainder is 0.

so,

cx² - 8x² = 0

cx² = 8x²

c = 8

14. The mean of  the Zoo-venir Stand sales is of 23.9, representing the quotient between the sum of all the amounts and the number of observations.

15. The range of the Zoo-venir Stand sales is of 30, representing the difference between the highest number and the lowest number.

Considering the key format of the stem-and-leaf plot, the observations are given as follows:

12, 13, 13, 13, 14, 15, 15, 16, 17, 20, 21, 21, 22, 22, 23, 24, 25, 25, 25, 26, 27, 27, 28, 29, 29, 32, 34, 34, 37, 41, 42.

The mean is given by the sum of all observations divided by the number of observations, hence it's value is of: 23.9.

The range is the difference between the highest observation and the lowest observation, hence it is of:

42 - 12 = 30.

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The substraction of 50 3/5 ft and 48 1/3 can be expressed as34/15.

The concept that will be used here is substraction. One of the four operations used in mathematics, along with addition, multiplication, and division, is substraction. Removal of items from a collection is represented by the operation of subtraction. For instance, the adjacent image shows 5 2 peaches, which are 5 peaches with 2 peaches subtracted, for a total of 3 peaches.

50 3/5 ft - 48 1/3 =

this mixed numbers can be converted to fractions as

253/5 - 145/3

= 34/15

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The value of the segment in the geometry of the triangle is 17.5.

A triangle is a sort of polygon with three sides, as was said in the introduction. The vertex of a triangle is where two of its sides meet at an angle. There is an angle created between two sides. One of the crucial elements of geometry is this.

Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.

If a line is parallel to one side of the triangle and intersects the other two sides, then it divides the side into segments of proportional length.

Thus,

12 / (12 + 14) = 15 / (15 + x)

12(15 + x) = 15(26)

180 + 12x = 390

12x = 210

x = 17.5

Hence, the value of the segment in the geometry of the triangle is 17.5.

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Answer: The x-axis is tangent to the curve when the value of y is equal to 0. So, to find the possible values of d when the x-axis is tangent to the curve, we need to solve the equation:

x^3/3 + 7x^2/2 + 10x + d = 0

To solve this equation, we need to use a method such as the cubic formula or a numerical method such as Newton-Raphson. However, it is not possible to determine a general solution for d without additional information, such as the value of x at which the tangency occurs. The possible values of d will depend on the specific value of x that satisfies the equation.

Step-by-step explanation:

The interval for which the rocket's height is increasing is 0 to 1 second.

The graph shows the way a toy rocket changes its height once it is launched. In general, it can be seen the height increases for some seconds and then the height decreases.

To calculate the interval let's find out the second or minute at which the rocket loses height.

0 - 1 second (from this moment the rocket loses height)

Based on this, it can be concluded the interval is 0-1 seconds.

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The correct conclusion from the given percentage of students of different categories is option(c): Classical is the preferred music for 52 students.

What is meant by percentage?

A figure or ratio stated as a fraction of 100 is called a percentage. It is frequently indicated by the percent sign, "%."

Given,

Total number of middle school students = 400

Percent of students who prefer rock = 13%

Percent of students who prefer hip hop = 25%

Percent of students who prefer pop = 35%

Percent of students who prefer classical = 13%

Percent of students who prefer jazz = 14%

Now we can find the number of students for each category.

Number of students who prefer rock = 13/100 * 400 = 52

Number of students who prefer hip hop = 0.25 * 400 = 100

Number of students who prefer pop = 0.35 * 400 = 140

Number of students who prefer classical = 0.13 * 400 = 52

Number of students who prefer jazz = 0.14 * 400 = 56

We can now look at different options.

a) This is false as hip-hop is preferred by 100 students.

b) Together Pop and jazz are preferred by 140+56 = 196, which is not more than half (200) of students. So this is false.

c)  This is true as classical is preferred by 52 students.

d) Together rock and hip hop are preferred by 52+100 = 152, which is not equal to 172. So this is false.

Therefore the correct conclusion from the given percentage of students of different categories is option(c).

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Answer: c

Step-by-step explanation:

I did the test and it’s right

Answer: $31.20

Step-by-step explanation:

0.6% = 0.006

.: fee = 0.006 x 5200 = $31.20

Answer:

C, I did the math

hope this helps

Answer:

approximately 0.567088608.

Step-by-step explanation:

The division of 1.28 by 2.26 can be done as follows:

The area of the shaded region is 20 square units for the given rectangle frame.

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

Dimensions of the inside rectangle, are as follows:

Length L₁ = 5 units

Width W₁ = 3 units

Since the frame is 2 units wide,

So, the dimensions of the outside rectangle, are as follows:

Length L₂ = 5 + 2 = 7 units

Width W₂ = 3 + 2 = 5 units

The area of the shaded region = area of the outside rectangle - area of the inside rectangle

The area of the shaded region = L₂ x W₂ - L₁ x W₁

The area of the shaded region = 7 x 5 -  5 x 3

The area of the shaded region = 35 - 15

The area of the shaded region = 20 square units

Thus, the area of the shaded region is 20 square units.

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The question seems incomplete, the missing figure is attached below.

The formula for compound interest is:

A = P(1 + r/n)^nt

where:

A is the total amount of money after t years,

P is the initial principal or deposit amount (in this case $1000),

r is the annual interest rate as a decimal (in this case 1.3% or 0.013),

n is the number of times interest is compounded per year (in this case, let's assume it's compounded annually), and

t is the number of years.

So, the function modeling the total amount of money Brigitte has over time, t, would be:

A = $1000(1 + 0.013)^t

This function shows how the amount of money in the savings account will increase as time goes on due to compound interest.

Answer:

6.89 billion for year 2010

7.15 billion for year 2023

Step-by-step explanation:

f(x) = [tex]a(1 + r) ^{x}[/tex]

f(x) = [tex]6.08(1+ .0126)^{10}[/tex]

f(x) = 6.89 Rounded to 2 places

f(x) = [tex]6.08(1+ .0126)^{13}[/tex]

f(x) = 7.15 Rounded to 2 places

After solving the system of equations, we found that the number of small chairs is 53 and the number of large chairs is 45.

What is meant by the system of equations?

A set of equations with a finite number of solutions is referred to as a system of equations. A system of equations in algebra consists of two or more equations and looks for common answers to the equations. A group of equations that are all satisfied by the same set of variables are referred to as a system of linear equations.

Given,

  Cost of material for small chair = $10

Cost of material for large chair = $15

The selling price for a small chair = $22

The selling price for a large chair = $51

The total money spent on materials = $305

Designer makes 8 more small chairs than large chairs.

If the number of large chairs = t  and the number of small chairs =  s

Using the given equations, we can write the following system of equations.

10s + 15t = 305

s - t = 8

Now we make the coefficient of s in both equations the same.

Multiply 10 in the second equation.

10s + 15t = 305

10s - 10t = 80

Subtracting,

5t = 225

t = 45

s = 8 + t = 45 + 8 = 53

Therefore after solving the system of equations, we found that the number of small chairs is 53 and the number of large chairs is 45.

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Answer:

Step-by-step explanation:

ΔABC transformed by 5/2 to A'B'C':

A' = -10, 15

B' = -15, 10

C' = 5, -5

Answer:

i think its 1 or 3 or 5 if not what i moslty think it is is    ((((  4   )))

Step-by-step explanation:

i hope this helps  may luck be with YOU!  :)