Change the given form into the decimal form. 7 1/4 %

The purchase price of the machine was $10,000.

The reducing balance method is a method of calculating depreciation of an asset over its useful life. It is also known as the diminishing balance method or the declining balance method.

Let P be the purchase price of the machine.

After one year of depreciation, the net book value of the machine will be:

P - 0.4P = 0.6P

After two years of depreciation, the net book value of the machine will be:

0.6P - 0.4(0.6P) = 0.36P

We know that after two years, the net book value is $3,600.  

0.36P = $3,600

Solving for P, we get:

P = $3,600 / 0.36

P = $10,000

Therefore, the purchase price of the machine was $10,000.

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Answer:

-10x-15

Step-by-step explanation:

So first we start off with 5(-2x-3)

Next, we distribute the 5 to the -2x to get -10x.

Next, we distribute the 5 to the -3 to get -15.

Therefore,

-10x-15 is correct

Answer:

-10x-15

Step-by-step explanation:

It's 10x-15, because you just need to simplify it.

It is the same thing as (5 x (-2x)) - (5 x 3), if you use the distributive property.

that is the same as -10x-15

Answer:

It contains 0 or 2 triangles.

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

geometric

Step-by-step explanation:

multiplying eqch number by 2

The graph of the linear inequality  y > 5 / (-2x + 2) shows a solution of (0, 2.5)

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.

In the given inequality, y > 5 / (-2x + 2) can be represented on a graph using a graphing calculator.

Kindly find the attached graph below

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Answer:

the answer is c, it fits the ratio given and is 2:3

Answer:

46°

Step-by-step explanation:

Δ1 = 180 - 130 = 50°

Δ2 = 180 - 50 - 84 = 46°

Answer:

\(\large\boxed{\bf\:\angle \: 2 = 46^{\circ}}\)

Step-by-step explanation:

In the given triangle,

∠1 + ∠2 + 84° = 180° (angle sum property of triangles states that all the 3 angles in a triangle will sum up to 180°)

Here,

∠1

= 180° - 130° (a linear pair makes 180°)

= 50°

So, acoording to the angle sum property of triangles,

∠1 + ∠2 + 84° = 180°

∠2 + 50° + 84° = 180°

∠2 = 180° - (50° + 84°)

∠2 = 180° - 134°

∠2 = 46°

_________

Enjoy the rest of your day!

By evaluating all the given values of the independent variable at x is equal to 6,x+4 and -x.

It is required to find the solution.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The function f(x)= x^2 + 2x + 8

According to given question we have,

By put the value of x=6 in the function f(x) we get,

Evaluating the function f(6):

f(6) = (6)² + 2(6) + 8

f(6) = 36 + 12 + 8

f(6) = 56

By put the value of x=x+4 in the function f(x) we get,

Evaluating the function f(x+4):

f(x+4) = (x+4)² + 2(x+4) + 8

f(x+4) = x² + 8x + 16 + 2x + 8 + 8

f(x+4) = x² + 10x + 32

By put the value of x=-x in the function f(x) we get,

Evaluating the function f(-x):

f(-x) = (-x)² + 2(-x) + 8

f(-x) = x - 2x + 8

Therefore, by evaluating all the given values of the independent variable at x is equal to 6,x+4 and -x.

The value of x in the secant intersection is 4.

If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

Therefore, let's find the value of x using the secant intersection theorem as follows;

4(4+x + 2) = 5(5 + x - 1)

4(6 + x) = 5(4 + x)

24 + 4x = 20 + 5x

24 - 20 = 5x - 4x

x = 4

Therefore,

x = 4

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Answer:

Step-by-step explanation:

area = 30x + 30(x+3) + 30(2x)

= 30x + 30x+90 + 60x

= (120x + 90) m²

length of planting area = x + (x+3) + 2x = 4x+3 m

area = 30(4x+3) = (120x + 90) m²

x = 5

maple area = 30(5+3) = 240 m²

locust area = 30(2·5) = = 300 m²

By adding the set of parentheses as shown above, we get an expression \(65 e^{0.68} \simeq 17.09\)

In mathematics, exponentiation is an operation involving two numbers, the base and the exponent or power. Exponentiation is written as bⁿ, where b is the base and n is the power; this is pronounced as "b to the n".

One possible way to create an expression using parentheses to get a value of 17 is:

((8 ÷ 2) + (9 × 9) - (10 × 2)) exponent 0.5

First, we evaluate the multiplication and division operations inside parentheses, since they have higher precedence than addition and subtraction.

\(((8 \div 2) + (9 \times 9) - (10 \times 2)) = (4 + 81 - 20) = 65\)

Then, we raise the result to the power of 0.68 which is the same as taking the square root:

65 exponent 0.68 ≈ 17.09

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Answer:

2

Step-by-step explanation:

The required length of the DF on the line segment is 21 units.

Given that,
The points C, D, E, and F all lie on the same line segment, in that order, such that the ratio of CD:DE: EF is equal to 3:2:1, If CF=42,
To determine the length of the segment DF

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Total of the ratios
CF = 3x + 2x + 1x
CF = 6x
6x = 42
x = 7
Now,

DF = DE + DF
DF = 2x + 1x
DF = 2 * 7 + 7
DF = 14 + 7
DF = 21

Thus, the required length of the DF on the line segment is 21 units.

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The equation of the line in slope intercept form  perpendicular to 6x - 2y = 12 and has the same y-intercept is  y = - 1 / 3 x - 6

The equation in slope intercept form can be represented as follows:

y = mx + b

where

Therefore, the equation of the line is perpendicular to 6x - 2y = 12 and have the same y-intercept.

Hence, perpendicular lines follows the rule below:

m₁m₂ = -1

6x - 2y = 12

6x - 12 = 2y

y = 3x - 6

Hence,

3m₂ = -1

m₂ = - 1 / 3

Therefore, the slope of the line is - 1 / 3.

The y-intercept is -6

Therefore,

the equation of the line is y = - 1 / 3 x - 6

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Answer:

I'm pretty sure its b>2

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3>−b+5

Step 2: Flip the equation.

−b+5<3

Step 3: Subtract 5 from both sides.

−b+5−5<3−5

−b<−2

Step 4: Divide both sides by -1.

-b/-1    <     -2/-1

Answer:

b>2

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ y = 6(x+1)^2-9\implies y = 6[x-(\stackrel{h}{-1})]^2\stackrel{k}{-9}\qquad \qquad \stackrel{vertex}{(-1~~,~~-9)}\)

The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Given:

Court lines are 50 mm wide.

Court paint covers 7 m² per litre of paint.

The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr

Radius of the entire circle = 9 m / 2 = 4.5 m

Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m

Circumference of the centre circle = 2π(4.45 m) = 27.94 m

Next, let's calculate the circumference of the semicircles:

The semicircles are half circles, so the circumference is given by the formula: Circumference = πr

The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.

Circumference of a semicircle = π(4.5 m) = 14.14 m

Total length = Circumference of the centre circle + 2 x Circumference of a semicircle

Total length = 27.94 m + 2(14.14 m)

Total length = 56.22 m

Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

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Answer: 52 ounces

multiply the mass value by 16

Answer:

-72

Step-by-step explanation:

You first solve what's inside the parenthesis.

(7-10) = -3

(-2(-3)-15)= -9

-4(-9)(2)(-1)= -72

Therefore, the answer is -72.

Hope it helped!

Answer:

1 3/4 + 2 3/8 = 33/

8

= 4 1/

8

= 4.125

Step-by-step explanation:

I think

Answer:

Step-by-step explanation:

\(27x^3 - 8 = 0\\(3x)^3 - (2)^3 = 0\\(3x - 2)(9x^2 + 6x + 4) = 0\\x = 2/3\\9x^2 + 6x + 4 = 0\\(3x)^2 + 2.3x.1 + 1^2-1^2+4 = 0\\(3x+1)^2 = -3\\\)×××× Rejected

x = 2/3

The number of people were 200 in the theater when it was full.

What is a theater?

In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.

Given that, the theater was full when the movie began.

76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.

Apply algebraical operation that is addition to find the required answer.

Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.

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Answer:

D( 1,9)

Step-by-step explanation:

First y must be greater than 7 which eliminates A and C

y must be greater than 2 times the x value

2*4 = 8 so B is eliminated

2*1 = 2  which is less than 9  Choice D is a solution

Answer:

Jim would have to spend two hours on his task. And Michael seven.

Step-by-step explanation:

Jim spends two hours. Michael spends double that time plus three more hours. Two doubled is four. Three plus four is seven.

And two plus seven equals nine.

d. As there is not a liability labelled as "Dividends Payable" on the trial balance, we can assume that the company has paid all of the dividends that it has declared.

A journal entry is the act of recording any transaction, whether one that is economic or not.

An accounting diary that displays the debit and credit balances of a corporation lists transactions. Several recordings, each of which is either a debit or a credit, may be included in the journal entry.

The answers to a, b and c are included in the image.

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a. To create a pie chart to show the total medal winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games:

Obtain the data for the medal winnings of the Top 10 NOCs

Calculate the total medal winnings for each NOC (i.e., the sum of gold, silver, and bronze medals)

Create a pie chart in Excel or any other software by selecting the data and choosing the pie chart option

Add a title and labels to the chart to show the NOCs and their corresponding medal winnings

b. The interpretation of the pie chart produced in Question 8a) depends on the shape and distribution of the chart. Two probable justifications for the behavior of the data are:

Dominance of certain NOCs: The pie chart may show that certain NOCs have a significantly higher share of medal winnings compared to others. This may be due to the dominance of these NOCs in specific sports or events, or due to their superior training and preparation.

Balanced distribution of medals: The pie chart may show a relatively balanced distribution of medal winnings among the Top 10 NOCs. This may indicate a high level of competitiveness and equal opportunities for success among the NOCs.

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The number that belongs in the green box is given as follows:

D.  2.

A quadratic function is given according to the following rule:

y = ax² + bx + c

The solutions are given as follows:

In which the discriminant is given as follows:

\(\Delta = b^2 - 4ac\)

The number that goes into the green box is then given as follows:

2a = 2(1) = 2.

Meaning that option D is the correct option in the context of this problem.

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