Help me I suck at math

The book value of the equipment at December 31, the end of the fifth year, is $149,333.35.

The straight-line method is a common method of calculating depreciation for fixed assets. It assumes that the asset will lose an equal amount of value each year over its useful life. To calculate depreciation using the straight-line method, you subtract the asset's estimated salvage value from its original cost to determine the total amount that needs to be depreciated. Then, divide that amount by the estimated number of years the asset will be in use to find the annual depreciation expense. The formula for straight-line depreciation is:

Annual depreciation expense = (Original cost - Salvage value) / Estimated useful life

The annual depreciation expense for the equipment is:

Depreciation expense = (cost - residual value) / useful life

Depreciation expense = ($212,000 - $14,000) / 15

Depreciation expense = $12,533.33 per year

The total depreciation expense for the first five years is:

Total depreciation expense = Depreciation expense x number of years

Total depreciation expense = $12,533.33 x 5

Total depreciation expense = $62,666.65

To find the book value at the end of the fifth year, we subtract the total depreciation expense from the original cost:

Book value = Cost - Total depreciation expense

Book value = $212,000 - $62,666.65

Book value = $149,333.35

Therefore, the book value of the equipment at December 31, the end of the fifth year, is $149,333.35.

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Answer:

  XY is tangent to circle Z

Step-by-step explanation:

You want to know if segment XY, measuring 3.6 units, is tangent to circle Z at point X. Segment YZ has length 1.8 units outside the circle, which has radius 2.7 units.

If the triangle XYZ is a right triangle, then we have ...

  XY² +XZ² = YZ²

  3.6² +2.7² = (1.8 +2.7)²

  12.96 +7.29 = 20.25 . . . . . true

Segment XY is a tangent.

If segment YZ is extended across the circle, the lengths of the segments from Y to the circle intersection points are 1.8 and (1.8 +2·2.7) = 7.2. The relation between the secant and the "tangent" will be ...

  3.6² = (1.8)(7.2) . . . . . true

This means XY is a tangent.

Answer:

a) 0.19

b) 0.9689

c) ≈ 6 cars

Step-by-step explanation:

Rate at which cars arrive = 12 cars/hour = 1/5 cars/minute

time needed by each car to complete ATM transaction = 6 minutes = 1/6 car/minute

capacity of lane = 10 car

n = 10

a) Calculate the probability of an arriving not using the ATM because the line is full

p ( not using the ATM ) = 0.19

b) probability that a car will not be able to use the ATM machine immediately on arrival

P ( n > 0 ) = 1 - Po

                 = 1 - 0.0311 = 0.9689

c) Average number of cars in the lane

Lq = 5.74 ≈ 6 cars

attached below is the detailed solution

Answer:

1693 is the result of the sum 437 plus 1256

Answer:

incomplete question

Step-by-step explanation:

Answer:

Mrs. Parker paints the school library.Yrich is the best estimate

Step-by-step explanation:

for the amount of paint she uses?

Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

Shortest Path : A-C, C-Z

Shortest possible time = 143

Step-by-step explanation:

P.S - The exact question is -

Given -

T1 = 38

T2 = 52

T3 = 63

T4 = 67

T5 = 91

T6 = 62

T7 = 64

To find - What is the shortest path and what is the shortest possible time to travel from A to Z ?

Proof -

Choices for shortest path is -

Choice 1 : A-B, B-E, E-Z ;

Choice 2 : A-C, C-Z ;

Choice 3 : A-B, B-D, D-Z

Now,

For Choice 1 : A-B, B-E, E-Z

Distance between A-B = T1 = 38

Distance between B-E = T4 = 67

Distance between E-Z = T7 = 64

So,

The distance = 38 + 67 + 64 = 169

Now,

For Choice 2 : A-C, C-Z

Distance between A-C = T2 = 52

Distance between C-Z = T5 = 91

So,

The distance = 52 + 91 = 143

Now,

For Choice 3 : A-B, B-D, D-Z

Distance between A-B = T1 = 38

Distance between B-D = T3 = 63

Distance between D-Z = T6 = 62

So,

The distance = 38 + 63 + 62 = 163

∴ By comparing we get

Shortest Path = A-C, C-Z

Shortest possible time = 143

The shortest path is A→C→Z and the shortest possible time is 143 units option second is correct.

It is given that the traveler is trying to determine the fastest way to travel from city A to city Z.

It is required to find the shortest path and the shortest possible time to travel from A to Z.

It is defined as the path in which all the sum of the path will be shortest in a weighted diagram known as the shortest path.

We have the time required to travel from A to B is T1 = 38 units

Similarly, for the path A to C is T2= 52 units

For the path B to D is T3= 63 units

For the path B to E is T4 = 67 units

For the path C to Z is T5 = 91 units

For the path D to Z is T6 = 62 units

For the path E to Z is T7 = 64 units

For the path A→B→E→Z

The total time required = T1+T4+T7

                                       = 38+67+64 ⇒169 units.

For the path A→C→Z

The total time required = T2+T5

                                       = 52+91 ⇒143 units.

For the path A→B→D→Z

The total time required = T1+T3+T6

                                       = 38+63+62 ⇒ 163 units.

Thus, the shortest path is A→C→Z and the shortest possible time is 143 units option seconds is correct.

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The lengths of the segments x and y in the right triangles are x = 6√2 and y = 12√2

The given shape is the right-angled triangle

Such that

We have angles = 30 degrees and 45 degrees

The measure of y can be calculated using the following sine ratio

sin(45) = y/24

Make y the subject

So, we have

y = 24 * sin(45)

When evaluated, we have

y = 12√2

The length x is calculated as

sin(30) = x/y

So, we have

x = y * sin(30)

This gives

x = 12√2 * 1/2

Evaluate

x = 6√2

Hence, the value of x in the triangle is 6√2

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The central angles for the categories with the numbers 40, 100, 50, and 50 are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

To calculate the central angles for each category based on the given numbers 40, 100, 50, and 50, we need to find the proportion of each value to the total sum of all the values. Let's proceed with the following steps:

Step 1: Calculate the total sum of the given numbers: 40 + 100 + 50 + 50 = 240.

Step 2: Find the proportion of each value by dividing it by the total sum and multiplying it by 360 (since a full circle has 360 degrees).

Central angle for the first category: (40/240) * 360 = 60 degrees.

Central angle for the second category: (100/240) * 360 = 150 degrees.

Central angle for the third category: (50/240) * 360 = 75 degrees.

Central angle for the fourth category: (50/240) * 360 = 75 degrees.

The central angles for each category based on the given numbers are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

These central angles represent the relative proportions of each category's spending in relation to the total spending. They can be used to create a pie chart or visualize the distribution of expenses in a circular graph.

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Note the search engine cannot find the complete question

Answer:

A= 81

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

Hope this helps :)

Answer:

23 / 126

Step-by-step explanation:

46/252 = 23/126

The maximum daily profit the company can earn is $2,350.

It is a set of points in a coordinate plane that represents the values of the function for different inputs.

The function P(x) = −6x² + 156x + 1,000 models the daily profit of the company, where x is the number of $5 price increases for each solar panel. The graph of the function has a vertex at approximately (15, 2350), which represents the maximum point on the graph.

Therefore, the maximum daily profit the company can earn is $2,350.

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Answer:

12.6

Step-by-step explanation:

The square root on 159 is 12.6095202129. Rounding to the nearest tenth should be 12.6.

Problems like this require a calculator for most people.

The approximate value of \(\sqrt{159}\) to the nearest tenth is 12.61

Here,

We have to find the approximate value of \(\sqrt{159}\) to the nearest tenth.

What is Rounding number?

Rounding is a method of approximating a number to its nearest place value.

Now,

The value of \(\sqrt{159}\) = \(12.6095202129.\)

To find Rounding number of 12.6095202129 nearest tenth look at the hundredth number. The number is 9 which is greater than 5, then add 1 in tenth place and remove all the number after tenth place.

Hence,

Rounding number of 12.6095202129 nearest tenth is 12.61

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Answer:

26. $46.75

27. $4.80

28. $32.00

29. $3.60

Answer:

  a) x = 1 ± (3/7)√7

  b) (-∞, -5) ∪ [-2, 5) ∪ [6, ∞)

Step-by-step explanation:

You want solutions to the relations ...

We like to solve these in the form f(x) = 0. It helps avoid extraneous solutions.

  \(7+\dfrac{1}{x} -\dfrac{1}{x-2}=0\\\\\\\dfrac{7x+1}{x}-\dfrac{1}{x-2}=0\\\\\\\dfrac{(7x+1)(x-2)-x}{x(x-2)}=0\\\\\\ \dfrac{7x^2-14x-2}{x(x-2)}=0\)

The roots of the numerator quadratic are found by ...

  x² -2x -2/7 = 0 . . . . . divide by 7

  x² -2x +1 -9/7 = 0 . . . . add and subtract 1

  (x -1)² = 9/7 . . . . . . . . . . write as a square, add 9/7

  x -1 = ±√(9·7/49) = ±(3/7)√7 . . . . take the square root

  x = 1 ± (3/7)√7

Rational inequalities are best solved by identifying the roots of numerator and denominator. These tell you where the function changes sign. The end behavior of the rational function tells you what the signs are changing from.

  \(\dfrac{x^2-4x-12}{x^2-25}\ge 0\\\\\\\dfrac{(x+2)(x-6)}{(x+5)(x-5)}\ge0\)

This has a horizontal asymptote at y=1 for |x|→∞. It has vertical asymptotes at x=±5.

The sign changes occur at x ∈ {-5, -2, 5, 6}. The rational expression is positive (approaching +1) for x < -5 and for x > 6. It is negative in the adjacent intervals, so positive again for -2 < x < 5.

The inequality is satisfied for ...

Answer:

8

Step-by-step explanation:

The square of a number square rooted is the number itself.

Answer:

the number of white cars vs the number of white trucks

C: The total number of planes landing at O’Hare Airport categorized by type is the answer

the dataset is a collection of numbers connected by theme. There are three ways to work with datasets: mean, median, and mode. The mean is the average of the dataset, the median is the median of the dataset, and the mode is the number or value that occurs most often in the dataset.

Standard deviation of a data set is the square root of the calculated variance of a set of data. The formula for variance (s2) is the sum of the squared differences between each data point and the mean, divided by the number of data points.

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Answer:

(5 + x)(5 - x)

Step-by-step explanation:

\(25 - {x}^{2} \\ \\ = {5}^{2} - {x}^{2} \\ \\ = (5 + x)(5 - x)\)

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:

0.5874 = 58.74%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

Z = (18.1 - 17.2)/0.3953

Z = 2.28

Z = 2.28 has a p-value of 0.9887.

Z = (17.1 - 17.2)/0.3953

Z = -0.25

Z = -0.25 has a p-value of 0.4013.

Hence:

0.9887 - 0.4013 = 0.5874 = 58.74%.

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Answer:

no,  

(

1

,

0

)

is not an ordered pair of the function  

f

(

x

)

=

1

+

x

.

Step-by-step explanation:

Ordered pairs are usually written in the form  

(

x

,

y

)

by tradition.

so usingthe function,

f

(

x

)

=

1

+

x

we can rewrite it as,

y

=

1

+

x

any pair of x and y that satisfy this equation are solutions to the equation.

so subbing in  

(

1

,

0

)

,

0

=

1

+

(

1

)

0

=

2

which is not true so the point does not make the function true.

It might be easier to see graphically,

graph{1+x [-10, 10, -5, 5]}

any combination of x and y on this line make the equation true and as such are an ordered pair of the function.

Answer:

Step-by-step explanation:

Answer:

bad words

Step-by-step explanation:

it is your shet

Answer:

2.25

Step-by-step explanation:

Prime Factors of 24 is 2 x 2 x 2 x 3

2 + 2 + 2 + 3 = 9

9/4 = 2.25

Answer:

$7.50

Step-by-step explanation:

So 45 minutes /60 minutes = 0.75

So we do 10*0.75 = 7.5

So they pay $7.50 for 45 minutes.

Answer:

I think it 31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3+1=4

4+2=6

6+3=9

9+4=13

13+5=18

18+6=24

24+7=31

you start with one 3+1=4but everytime you add you add an extra 1

Answer:

Step-by-step explanation:

The problem specifies that you may use a calculator. The formula, as reference, is:

You can use a regular calculator or an online spreadsheet to solve. In sheets, arrange your data and use the =PERCENTILE( ) function. In the parentheses, write the range of your data and the requested percentile as a decimal. So if I type the data (the ages of the signers for this example) in cells A:4 through A:23, I'd write =percentile(A7:A23,0.25).

So the answers:

25th percentile is 34.

80th percentile is 48.4.

Answer:

-8

Step-by-step explanation:

b/2-3

substitute 8 for b

8/2-3

then solve

8/2-3

8/-1

-8