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ANGLE 1 = 52°
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Under the straight-line depreciation method, the depreciation expenses for the years ended December 31, Year 1, Year 2, Year 3, and Year 4, for Perdue Company, are as follows:

Year Amount

Year 1 $2,858.33 ($11,4333.33 x 3/12)

Year 2 $11,433.33

Year 3 $11,433.33

Year 4 $8,575.01 ($11,433.34 - $2,858.33)

The straight-line method is one of the depreciation methods in use by companies to allocate the cost of plants and equipment over their useful lives.

Under the straight-line method, the depreciable amount (cost less residual value) is divided by the estimated useful life.

Other depreciation methods include the unit-of-production, double-declining-balance, and the sum-of-the-years-digit methods.

Equipment cost = $36,100

Residual value = $1,800

Depreciable amount = $34,300 ($36,100 - $1,800)

Estimated useful life = 3 years

Annual depreciation = $11,433.33 ($34,300/3)

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Determine the amount of depreciation expense for the years ended December 31, Year 1, Year 2, Year 3, and Year 4, by the straight-line method.

If Ama and her son Brandon's average age is currently 36 years. then

Brandon's age is 38 years.

Two or more expressions with an equal sign is called as Equation.

Let the Brandon age be x

Ama was 34 years old

Ama and her son Brandon's average age is currently 36 years

(34 + x)/2= 36

Use cross multiplication

34 + x = 72

x=72-34

x = 38

So  Brandon's average age is 38.

Hence Brandon is 38 years old.

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For the given coordinates of A, B, C, and D as (-8, 1), (-2, 4), (-3,-1), and (-6, 5), respectively, OD, AB and CD are intersecting lines but are not perpendicular (third option) is the correct assertion.

Reasons for the Choice

Therefore, the lines OD, AB, and CD are intersecting lines but are not perpendicular.

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Answer:

268.08

Step-by-step explanation:

Answer:

803.84 m³

Step-by-step explanation:

The formula to find the volume of a sphere is:

V = 4 π r³

Given that,

radius ⇒ 4m

Let us find the volume now.

V = 4 π r³

V = 4 π × ( 4 )³

V = 4 π × 64

V = 4 π × 64

V = 12.56 × 64

V = 803.84 m³

Answer:

x=a-d/c+b

Step-by-step explanation:

a-bx =cx+d

collect like terms

a-d=cx+bx

a-d=x(c+b)

x=a-d/c+b

Answer:

98-54+12-36

110-54-36

56-36

20Ans

Answer:  y = -3x-3 (Choose values for x)

Step-by-step explanation:

1st change the equation to y = mx+b form

In order to change the equation to y = mx+b form subtract the 3x to both sides.
The equation now becomes y = -3x-3

2nd we can either choose values for x such has (-2,-1,0,1,2) and plug in those values into our equation y = -3x-3
For example, if we plug in x= -2 we get y= -3(-2)-3 which becomes y =3. We then plot the point (-2,3) because -2 is our x coordinate and 3 is our y coordinate.
Or we can plug the equation into a calculator that will graph the equation for you.

Answer:

1436.76

Step-by-step explanation:

Answer:

538.57 m³

Step-by-step explanation:

The formula to find the volume of a sphere is:

V = 4 π r³

Given that,

diameter ⇒ 7 m

∴ radius = d / 2

  radius ( r ) = 7 / 2 = 3.5 m

Let us find the volume now.

V = 4 π r³

V = 4 π × ( 3.5 )³

V = 4 π × ( 3.5 )³

V = 4 π × 42.875

V = 4 π × 42.88

V = 12.56 ×  42.88

V = 538.57 m³

The expression that has a coefficient of 10 and constant of 5 is 10x + 5.

An equation is an expression that shows the relationship between two or more variables and numbers.

A coefficient is a number or any symbol representing a constant value that is multiplied by a variable. A constant is a value or number that never changes in expression.

The expression that has a coefficient of 10 and constant of 5 is 10x + 5.

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Answer:

50/20

Step-by-step explanation:

Rate of money raised raises per jump is  

                          money raised / jumps

                                       $50/ 20 jumps

We can think that if we divide the $50 into 20 equal parts,

each part will represent 1 jump and will have 50/20 = $2.5  per 1 jump.

Using it's concept, the probability that the first coin is a nickel and the second coin is a quarter is: 2/39.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Hence:

Then the probability for both coins is:

p = 4/13 x 1/6 = 4/78 = 2/39

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The required steps are

2x^2 + 12x – 3 = 0.

2x2 + 12x  = 3

2(x^2+6x) = 3

2[(x+3)^2 - 9] = 3

Quadratic equations are equations that has a leading degree of 2

Given the equation below;

2x^2 + 12x – 3 = 0.

Add 3 to both sides

2x2 + 12x  = 3

Factor out 2

2(x^2+6x) = 3

Complete the square

2(x^2+6x+3^2-3^2) = 3

2[(x+3)^2 - 9] = 3

This gives the required steps to solve the equation

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Answer:

5.5 hours

Step-by-step explanation:

I am going to assume that a helmet is necessary prerequisite for renting the bike.

I also am assuming that the hourly rate can be turned into a sub hourly rate if the full hour isn’t used.

10+4.25h=33.38

4.25h=23.38

h=23.38/4.25

h=5.5

The complete statements are:

Part of a scatter plot

The parts of a scatter plot are

This means that the Key is not part of a scatter plot

The scale on the axes

Here, the scale is determined by the number of data points that exists on the scatter plot

This means that scatter plots that have 10 and 100 data points might not be represented on the same scale

The line of best fit

This is determined by drawing a line through the data points on the scatter plot.

The line is know as the line of best fit

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The missing reasons for each of the given statements are respectively;

1) Substitution

2) Definition of a Straight angle because a straight angle is 180°.

3) Congruent Angles have equal measures

We are given that;

m∠1 = 90°

m∠1 + m∠2 = m∠5

∠3 ≅ ∠4

Statement 1; 90° + m∠2 + m∠4 = 180°

Reason 1; Substitution

Statement 2; m∠1 + m∠2 + m∠3 = 180°

Reason 2; Definition of a Straight angle because a straight angle is 180°.

Statement 3; m∠3 = m∠4

Reason 3; Congruent Angles have equal measures

Thus, the missing reasons for each of the given statements are respectively;

1) Substitution

2) Definition of a Straight angle because a straight angle is 180°.

3) Congruent Angles have equal measures

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Based on the requirements for FICA and Medicare tax, the amount to be withheld in March for FiCA is $685.10 and for Medicare is $160.23.

The amount to be withheld in December of FICA is $523.90 and for Medicare is $160.23.

In March, the amount to be withheld is:

= 11,050 x 6.2%

= $685.10

To find out the amount withheld in December, find out the earnings up to that point:

= 11,050 x 12

= $132,600

FICA can only be withheld on the first $130,000 so the amount of FICA In December is:

= 6.2% x ( 11,050 - (132,600 - 130,000))

= $523.90

The amount will be the same for both March and December as Medicare is for all earnings:

= 11,050 x 1.45%

= $160.23

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Using the future value formula, it is found that you would need to deposit $272.95 in the account each month.

It is given by:

[tex]V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right][/tex]

In which:

For this problem, considering that there are monthly compoundings, the parameters are:

r = 0.08/12 = 0.0067, V(n) = 300000, n = 25 x 12 = 300.

Hence we solve for P to find the monthly payment.

[tex]V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right][/tex]

[tex]300000 = P\left[\frac{(1.0067)^{299}}{0.0067}\right][/tex]

1099.12P = 300000

P  = 300000/1099.12

P = $272.95.

You would need to deposit $272.95 in the account each month.

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Step-by-step explanation:

x+x+10+50=180

2x+60=180

2x=180-60

2x=120

x=120/2

x=60

Answer:

100m

Step-by-step explanation:

How much are 10000 centimeters in meters?

10000 centimeters equal 100.0 meters (10000cm = 100.0m). Converting 10000 cm to m is easy. Simply use our calculator above, or apply the formula to change the length 10000 cm to m.

Answer:

100m

Because- 1m=100cm

10m=1000cm

100m=10,000cm

[tex]\bold{Answer:} \small\boxed{21e-42}[/tex]

Step-by-step explanation:

 [tex]To\ solve\ : \ 9e-6(-2e+7)[/tex]

we first must use the distributive property. You can think about solving this like this:

[tex]=9e-(6)(-2e+7)[/tex]

Notice how we are not distributing -6, but only 6. Now we can solve normally:

[tex]=9e-(-12e+42)[/tex]

Now we distribute the '-' sign to the terms in parenthesis.

[tex]=9e+12e-42[/tex]

[tex]\longrightarrow \large\boxed{21e-42}[/tex]

The decimal form is 15.08 rounded.

Answer:

4x + 3 just take away rhe values

Answer:

=====================================

We know that diagonals of rhombus are perpendicular to each other.

Hence its area is half the product of diagonals.

The diagonals are JL and KM and one of them is vertical and the other one horizontal since x- or y-coordinates are equal in pairs.

Let's find the length of diagonals, using the difference of coordinates:

Now find the area:

Check the attached file.

Answer:

3.42857143

Step-by-step explanation:

You multiply 4/7 by 6 to isolate the variable

Answer:

3 3/7 or 24/7

As a decimal: 3.42857143

Step-by-step explanation:

Rewrite the proportion:

4/7 = x/6

Multiply both sides by 6 to isolate x:

(4/7) * 6 = x

Multiply 4 and 6, 7 is multiplied by 1 since 6 = 6/1:

x = 24/7

Rewrite as mixed number:

7 * 3 = 21

24 - 21 = 3

x = 3 3/7

Brainliest, please :) (Hoping to become a genius)

Based on the total number of people who want the steakhouse option, the probability that a student will not want the seafoodbuffet if they want the steakhouse option is 24%

The probability that a student does not want the seafood buffet given that they want the steakhouse option is:

= Number of people who want steakhouse but not seafood / Total surveyed

Solving gives:

= 9 / (16 + 8 + 9 + 4)

= 9 / 37

= 24%

Full question is:

If a student wants the steakhouse option, what is the probability that they will not want the seafoodbuffet?

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Question 14

Part (a)

[tex]\frac{46800-41400}{4700} \approx \boxed{1.15}[/tex]

Part (b)

[tex]-2.57=\frac{x-41400}{4700} \\ \\ -2.57(4700)=x-41400 \\ \\ x=41400-2.57(4700) \\ \\ x \approx \boxed{29300}[/tex]

See attachment for the graph of the cosine function f(x) = 5 cos(π/2x) - 1

From the question, the given parameters are:

Amplitude, A = 5

Vertical shift, D = -1

Period, T = 4

A cosine function is represented as:

f(x) = A cos(B(x + C)) + D

Where

Amplitude = A

Period = T

Horizontal shift = C

Vertical shift = D

Since the horizontal shift is not stated in the question, we can assume that the horizontal shift is 0

i.e. C = 0

So, the equation of the cosine function becomes

f(x) = A cos(Bx) + D

Calculate the value of B using

B = 2π/T

So, we have:

B = 2π/4

Evaluate

B = π/2

So, we have:

f(x) = A cos(π/2x) + D

Substitute the known values of A and D in the above equation

f(x) = 5 cos(π/2x) - 1

Next, we plot the graph of the cosine function on a graphing tool

See attachment for the graph of the cosine function f(x) = 5 cos(π/2x) - 1

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The given statement that, decimal, fraction, and percent can all represent the same values is True.

Verification of the True Statement:

The ratio of two numbers results in a fraction which are often rational numbers (often integers). As an illustration, 11/59 is a fraction. Typically, absolute values for fractions should be larger than 0 and less than 1. A mixed fraction equivalent to 1 3/4 is 7/4.

A fraction stated in tenths are known as a decimal (or tenths of tenths, etc.). The decimal equivalent of one fourth, or 1/4 as a fraction, is 0.25 (which equals 25/100). (Remember that 1/100 is just a tenth of a tenth.)

Percentage (percent) is a decimal fraction multiplied by 100. Therefore, 0.25 is equivalent to 25 percent, for instance. The ratio of two numbers results in fractions, which are often rational numbers (often integers).

Let us take a number 3/5, this is a fraction.

Now, if we further divide, 3 by 5, we will get 0.6

This 0.6 is a decimal number, but it still represents the number 3/5

Similarly, it is equivalent to 60 percent which again represent the fraction 3/5 or decimal 0.6.

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The Pythagorean theorem states that:

[tex]a^2+b^2=c^2[/tex]

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Let a represent the length of one leg.

Because the hypotenuse is 14 cm longer than a leg, we can say that the hypotenuse's length is 14 + a.

Plug these into the Pythagorean theorem:

[tex]a^2+b^2=c^2\\a^2+a^2=(14+a)^2\\2a^2=14^2+2(14)a+a^2\\2a^2=196+28a+a^2\\a^2=196+28a\\a^2-196-28a=0\\a^2-28a-196=0[/tex]

Factor using the quadratic formula:

[tex]a=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]a=\dfrac{-(-28)\pm \sqrt{(-28)^2-4(1)(-196)}}{2(1)}\\\\a=14\pm14\sqrt{2}\\\\a=14+14\sqrt{2}[/tex]

We know that it's plus because subtracting results in a negative value, and length cannot be negative.

This is the length of each side.

Because the hypotenuse is 14 cm longer, we can say that the hypotenuse is [tex]28+14\sqrt{2}[/tex].

Leg length = [tex]14+14\sqrt{2}[/tex]

Hypotenuse length = [tex]28+14\sqrt{2}[/tex]

The true statements are;

-Both graphs are logarithmic functions

-Both graphs have been shifted and flipped (B and D).

A graph is a plot of information on the cartesian coordinates. The function is plotted on an x - y cartesian plane. Given the nature of function, we can understand the shape of the graph as shown.

In this case, the graph shows a flipped logarithmic function. As such, the following are true about the function;

-Both graphs are logarithmic functions

-Both graphs have been shifted and flipped

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