Find the perimeter of the stained-glass window if each small square is 6 in. on
a side.

The book value at the end of year 2 of the equipment depreciated using the sum-of-the-years’-digits method is $65,560.

Depreciation is a method used to expense the cost of an asset. Book value is the cost of the asset less the accumulated depreciation.

Sum-of-the-year digits = (remaining useful life / sum of the years ) x  (Cost of asset - Salvage value)

Depreciation expense in year 1:

Sum of the years = 1 +2 +3 +4 + 5 + 6 + 7 + 8 + 9 + 10+ 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 210

Undepreciated life of the asset = 20

(20 / 210) x ($79,600 - 4,000) = 7200

Depreciation expense in year 2:

19 / 210 x ($79,600 - 4,000) = 6840

Book value = 79600 - 7200 - 6840 = $65,560

To learn more about depreciation, please check: https://brainly.com/question/25552427

[tex]5 < \sqrt{30} < 6[/tex]

[tex]Locate\ \sqrt{30}\ between\ two\ integers:\\ \downarrow\\ 5 < \sqrt{30} < 6[/tex]

I hope this helps you

:)

Answer: I believe that by helping or answering others you can get get questions, but I do know there is a limited amount of questions being able to ask before paying monthly. Hope this helps

Answer:

What you have to do is answer peoples question to gain more

Step-by-step explanation:

The paint in the pot is an illustration of a linear equation and the weight of the full pot is 11.2 kg

The given parameters can be represented using the following ordered pairs:

(x,y) = {(0.5, 5.8) and (0.25, 3.1)}

The slope of the equation is calculated using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (3.1 - 5.8)/(0.25 - 0.5)

Evaluate

m = 10.8

The equation is then calculated using:

y = m(x - x1) + y1

This gives

y =  10.8(x - 0.5) + 5.8

Expand

y =  10.8x + 0.4

When the pot is full, we have x = 1

So, the equation becomes:

y =  10.8 * 1 + 0.4

Evaluate

y =  11.2

Hence, the weight of the full pot is 11.2 kg

Read more about linear equations at:

https://brainly.com/question/14323743

Answer:

Step-by-step explanation:

Domain is ( - ∞ , ∞ )

Range is [ 0 , 1 ] ∪ ( 2 , ∞ )

Answer:

20

Step-by-step explanation:

[tex]\frac{32}{1.6} =\frac{32}{\frac{16}{10}} =32*\frac{10}{16} =\frac{320}{16} =20[/tex]

So the answer is 20

a. The expression for the tension in the string is T = mg

b. The expression for the tension in the chain is T = 2mg

To solve the problem, we need to know what tension is.

This is the opposing force in a stretched material.

The expression for the tension in the string is T = mg

Since the string supports the weight of the object, the tension in the string equals the weight of the particle.

Let

So, T = W

T = mg

So, the expression for the tension in the string is T = mg

The expression for the tension in the chain is T = 2mg

Since the chain supports both strings, the tension in the chain equals the tension in both strings.

Let

So, T' = T + T

T' = 2T

T' = 2W

T' = 2mg

So, the expression for the tension in the chain is T = 2mg

Learn more about tension here:

https://brainly.com/question/24994188

Answer:

Line LK is the dimameter

Step-by-step explanation:

A diameter is a line that goes through the center and goes from one end a the circle to the other end of the circle.

Hope this helps!!

Answer:

[tex]b. \: 16[/tex]

Step-by-step explanation:

Divide the numbers ⬇

[tex](4 + 2) \times 2 + 4[/tex]

Add the numbers ⬇

[tex]6 \times 2 + 4[/tex]

Multiply the numbers ⬇

[tex]12 + 4[/tex]

Add the numbers ⬇

[tex]12 + 4 = 16[/tex]

OPTION B IS RIGHT :)

hope this helps!! Mark me brainliest please!

Answer: B. 16

Step-by-step explanation:

Hope this helps!

To create the dot plot you will list the data in order and use the given numbers to create the box plot.

8.10, 8.20, 8.30, 8.32, 8.34, 8.50, 8.50, 8.50, 8.55, 8.60, 8.60, 8.65, 8.65, 8.90

Lower extreme: 8.10

Upper extreme: 8.90

Median: 8.50

1st/lower quartile: 8.32

3rd/upper quartile: 8.60

Please see the attached picture for the boxplot.

Answer:

13 this is the ansewer to this

Answer:

[tex]f(x)=2^x[/tex]

Step-by-step explanation:

Exponential function:

[tex]f(x)=a(b^x)+c[/tex]

Step 1. Find a, y-intercept

Step 2. Find b, slope

Step 3. Find c, horizontal asymptote

a = 1

m = (y₂ - y₁)/(x₂ - x₁)

m = (3 - 1)/(1 - 0) = 2/1

b = 2

c = 0

[tex]f(x)=1(2^x)+0\\f(x)=2^x[/tex]

Answer:

the answer is c

Step-by-step explanation:

first add : 42+63=105

so you need to solve the expressions until you find the one that equal the same amount.

start with the problem in the parenthesis then multiply.

you will find that C equals 105

6+9=15

15×7=105

Answer:

I believe the answer is 20

Answer:

g(3) = 24

Step-by-step explanation:

The question is essentially asking you, "With an input of 3, what is the output of the function?" To find g(3), plug "3" into the "x" variable. Then, simplify as much as you can.

g(x) = x³ - x

g(3) = (3)³ - (3)

g(3) = 27 - 3

g(3) = 24

Answer:

258.65 mg will be remain after 1000 years

Step-by-step explanation:

This problem can be solved several ways, I prefer the natural log approach for reasons I won’t go into here:

Activity final = Activity initial e^-kt, where

k = the decay constant, = ln2/half life = 0.693/1590, = 0.000436/year

t = the decay time, in the same time base as k

The problem can be worked in units of activity, mass, or number of atoms.

400 x e^-0.000436 x 1000 = 400 x e^-.436 = 258.65 mg

you can check this by estimating. There is about 2/3 of a half life, so there should be more than 200 mg, which would be the value at one half life.

Hi!

[tex]A=\pi r^2[/tex]

We will start by solving for the area of the entire figure.

Plugin the values into the circle area formula. We will use 3.14 for pi:

[tex]A=3.14(4)^2[/tex]

Simplify:

[tex]A=50.24[/tex]

Now, this is the area of the entire circle, but we only want that certain shaded region.

We know that a circle has a total of 360 degrees, and the shaded sector is simply 80 degrees.

We can divide to see how much of the circle is shaded:

80 / 360 = 0.22...

Now, we can take this number and multiply it by 50.24 (our answer from above) to get the area of the shaded sector:

0.22 * 50.24 = 11.16

For a similar problem, see:

https://brainly.com/question/11952845

Answer:

30.67

Step-by-step explanation:

[tex] \frac{9}{ \sin(x) } \: = \frac{16}{ \sin(115) } \\ \\ \frac{9}{ \sin(x) } \: = \frac{16}{ 0.91 } \: \: \\ \\ \frac{9 \times 0.91}{16} = \sin(x) \\ x = 30.67[/tex]

Answer:

Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio (in other words, if they are proportional). Typically, problems with similar polygons ask for missing sides.

Step-by-step explanation:

this is the correct answer

Answer:

42 sq. cm

Step-by-step explanation:

Answer: 42 sq. cm

Length of Big Rectangle: 7

Width of Big Rectangle 7+0.5+0.5 = 8

Area of Big Rectangle: 56

Area of Small Rectangle = 0.5*7 = 3.5

Area of 4 Small Rectangles = 3.5 *4 = 14

Shaded Area = Big Rectangle - 4 Small Rectangles = 56 - 14 = 42 sq. cm

Answer:

1/216

Step-by-step explanation:

A dice (assuming it is from 1-6) has 6 faces. There are 4 dices.

equation will be

6*6*6=answer

Multiply 6 three times by itself because there are 4 dices. That is because One die would be 1

Two would be 1/6

Three would be 1/36

And four would be the ...

Asnwer=216

Answer: See below

Step-by-step explanation:

To find the factor,

f(x) = 0

[tex]\begin{aligned}&2 x^{4}-72 x^{2}=0 \\&2 x^{2}\left(x^{2}-36\right)=0 \\&x^{2}\left(x^{2}-36\right)=0 \\&x \times x \times(x-6) \times(x+6)=0 \\&\mathrm{x}=0,0,6,-6\end{aligned}[/tex]

So,

x = 0 multiplicity 2

x = -6 multiplicity 1

x = 6 multiplicity 1

For an even multiplicty, the graph touches the x-axis, and for an odd multiplicty, the graph crosses the x-axis

Therefore,

x = 0 multiplicty 2, Touch

x = -6 multiplicty 1, Cross

x = 6 multiplicty 1, Cross

para lang po sa points hehe

Answer:

she has about $3750 in her acount.

Step-by-step explanation:

hope this helps you!

Answer:

almonds: $10.20

cashews: $12.40

Step-by-step explanation:

[tex]~~~~~\sin 30^{\circ} = \dfrac{\text{Perpendicular}}{\text{Hypotenuse} }\\\\\\\implies \dfrac 12 = \dfrac{8}x\\\\\\\implies x = 8\cdot2\\\\\\\implies x = 16 ~ \text{cm.}[/tex]

The measure of the side length is 16 cm after applying the sin ratio which is the side opposite to the angle/hypotenuse.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

A right-angle triangle is shown in the picture.

To find the side length of the hypotenuse apply the sin ratio

sin30 = side opposite to the angle/hypotenuse

1/2 = 8/x

x = 8(2)

x = 16 cm

Thus, the measure of the side length is 16 cm after applying the sin ratio which is the side opposite to the angle/hypotenuse.

Learn more about the right-angle triangle here:

brainly.com/question/3770177

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