Pharoah Limited purchased a computer for $8,600 on January 1, 2020. Straight-line depreciation is used for the computer, based on a five-year life and a $900 residual value. In 2022, the estimates are revised. Pharoah now expects the computer will be used until December 31, 2023, when it can be sold for $700. Calculate the 2022 depreciation expense.

8^2+ b^2 = 12^2

Solve the exponents first.

64+b^2 = 144

Subtract 64 from both sides of the equation:

b^2 = 144-64

b^2 = 80

Apply square root:

b= √80 = 8.94

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Answer:

A (1,-2) B(10,1) C(6,2)

Step-by-step explanation:

You add 4 to the x value and subtract 3 from the y value to get the answer.

The coordinates of the vertices after the translation are A'(1, -2), B'(10, 1), and C'(6, 2).

To represent the given translation, we need to add the same constant amount to the x-coordinate of each vertex and subtract the same constant amount from the y-coordinate of each vertex.

Let's call the constants of translation "a" and "b", respectively. Then the rule P(x, y) → P'(x + a, y - b) represents the translation of a figure where P is any point in the original figure and P' is the corresponding point in the translated figure.

To find the coordinates after the translation, we need to apply the translation rule to each vertex of the triangle.

For vertex A(-3, 1), we add 4 to the x-coordinate and subtract 3 from the y-coordinate, giving us the new coordinates of A': (-3 + 4, 1 - 3) = (1, -2).

For vertex B(6, 4), we add 4 to the x-coordinate and subtract 3 from the y-coordinate, giving us the new coordinates of B': (6 + 4, 4 - 3) = (10, 1).

For vertex C(2, 5), we add 4 to the x-coordinate and subtract 3 from the y-coordinate, giving us the new coordinates of C': (2 + 4, 5 - 3) = (6, 2).

Therefore, the coordinates of the vertices after the translation are A'(1, -2), B'(10, 1), and C'(6, 2).

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A M function file 'tconvert.m', which can convert coordinates (x, y) into Polar from Cartesian coordinates. is:
"```matlab
function [theta, r] = tconvert(x, y)
```"

To create the M function file 'tconvert.m' that converts Cartesian coordinates (x, y) into Polar coordinates, follow these steps:

1. Open the MATLAB Editor or any text editor and create a new file named 'tconvert.m'.

2. In the file, start with the function declaration line: `function [theta, r] = tconvert(x, y)`.

3. Inside the function, write the conversion code using MATLAB's built-in functions:

  - Calculate the angle theta using `atan2(y, x)`, which returns the angle in radians.

  - Calculate the radius r using `sqrt(x^2 + y^2)`, which gives the distance from the origin.

4. End the function with the `end` keyword.

5. Save the file in a directory accessible by MATLAB.

The function 'tconvert' takes the Cartesian coordinates (x, y) as input and returns the corresponding Polar coordinates (theta, r). The angle theta represents the direction in radians, and the radius r represents the distance from the origin.

The function can be called from the MATLAB command window or from another script or function file.

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Complete question:

Write a M function file 'tconvert.m', which can convert from Cartesian coordinates (x,y) into Polar coordinates.

Answer:

19 1/11

Explanation:

To solve this problem, we first need to convert all of the fractions to a common denominator. To do this, we find the least common multiple of the denominators, which is 55. Then, we multiply each fraction by the necessary multiple to get the fractions to have a denominator of 55:

24 1/10 - 5 9/11 = (245 + 1)/(105) - (55 + 9)/(115) = 121/50 - 29/55

Next, we can add or subtract the fractions by adding or subtracting the numerators and keeping the denominator the same:

121/50 - 29/55 = (121 - 29)/55 = 92/55

Finally, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 11:

92/55 = (92/11)/(55/11) = 8/5

The final answer is 8/5, which is equivalent to 19 1/11.

Answer: B. XIX

Step-by-step explanation: If Sarah is 3 years older than Ben, she is 3 years older than 16. That means she is 19 years old. In Roman numerals, we need to think of it as she is 10+9 years old.

X represents 10.

IX represents 9 Because...

... in order to represent a number less than ten, we need to think about how much less than ten it is. Since 9 is one less than 10, you write it as IX since a smaller numeral in front of X represents subtraction.

So you combine the 10 and 9 to get XIX.

Answer:

With the discounts, you saved a total of $4.90. You still owe $29.10.

Step-by-step explanation:

Shoes:

10% of 24 is 2.4

The shoes cost 21.60  with the 10% discount and before tax.

Belt:

25% of 10 is 2.5

The belt cost $7.50 with the 25% discount and before tax.

Total:

You still owe 29.10 for the belt and shoes before tax.

You saved $2.4 on the shoes and $2.5 on the belt (total of $4.90)

Answer:

reflected over x axis

Step-by-step explanation:

Answer:

Use this formula

\( \frac{4}{3} \pi \times {r}^{3}\)

Answer will be option A

Process:

V= \( \frac{4}{3} \pi \times {r}^{3}\)

   = 4/3 *\(\pi }\)*\(8^{3}\)

   =\(\frac{2048\pi }{3}\)

   =2144.66\(m^{3}\)

Answer:

55 minutes

Step-by-step explanation:

50 minutes after 10:30 is 11:20 so she 55 minutes until 12:15

Answer:

8d+20

Step-by-step explanation:

Just multiply whatever is outside the bracket in this case 4 by whatever is in the bracket (2d+5)

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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The Residual is defined as the difference between the actual and predicted, or fitted values of the response variable. This statement is true.

Linear regression is a statistical tool that determines how well a straight line fits a set of paired data. The straight line that best fits that data is called the least squares regression line. This line can be used in a number of ways. One of these uses is to estimate the value of a response variable for a given value of an explanatory variable. Related to this idea is that of a residual.

Residuals are obtained by performing subtraction. All that we must do is to subtract the predicted value of y from the observed value of y for a particular x. The result is called a residual.

The formula for residuals is straightforward:

Residual = observed y – predicted y

It is important to note that the predicted value comes from our regression line. The observed value comes from our data set.

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Alex does not have enough strawberries to make fruit salad and jam.

A mixed fraction is a fraction that is created by fusing a fraction with a whole number.

An improper fraction is a fraction that cannot be further simplified and has a numerator higher than or equal to the denominator. For instance, 13/5 is a bad fraction. Let's find the mixed fraction equivalent of this incorrect fraction. Divide the denominator by the numerator in step 1. Step 2: Track down the rest. In step 3, arrange the numbers as follows: quotient, followed by a portion of the remainder or divisor.

Given that, Alex wants to use 1 3/4 and 3 1/2 cups of strawberries.

Thus the total strawberries are:

1 3/4 + 3 1/2

= 7/4 + 7/2

Taking LCM we have:

= 21/4 = 5.2 cups

Hence, Alex does not have enough strawberries to make fruit salad and jam.

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Answer:

19

Step-by-step explanation:

To calculate this, all we need to do is 150 * 0.125 ≈ 18.75 which rounds to 19. We round to the nearest integer because you can't land on the 4 18.75 times.

Answer: 19

Step-by-step explanation:

.125 is equal to 1/8, so it will be roughly 1/8 of the 150 times so we can multiply

150(.125)=18.75, which rounded up, or normally becomes 19

Correct option is C. That number is 0.

Let the number is x

It divided by 2=  x/2

And divided by 4=  x/4

∴  x/2 = x/4

⇒4x=2x

⇒2x=x

The only time that can be possible is when x=0

2(0)=0

Then 0 is the number.

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Answer:

The last one (x,y)->(x+3,y+5)

Step-by-step explanation:

Whenever you move the x coordinate it’s the opposite, for example translated 3 units the the left is +3 and translated 3 units to the right is -3.

Whenever you move the y coordinate it’s normal so up 5 units means +5 and down means -5.

Answer:

C

Step-by-step explanation:

simple addition

The position of the object at time t = 3 is approximately 6.59 units from the origin.

The velocity of an object is defined as the rate of change of its position with respect to time. Mathematically, we can express this as:

v(t) = dx/dt

where v(t) is the velocity of the object at time t, and dx/dt is the derivative of the position function x(t) with respect to time.

In this problem, we are given the velocity function v(t) as:

v(t) = (1+t²)¹/₃

To find the position function x(t), we need to integrate the velocity function with respect to time. We can do this as follows:

x(t) = ∫v(t)dt

x(t) = ∫(1+t²)^(1/3) dt

To evaluate this integral, we can use the substitution u = 1 + t², which gives du/dt = 2t. Substituting this into the integral, we get:

x(t) = (3/2) * ∫u¹/₃ * (1/2u) du

x(t) = (3/2) * ∫u⁻¹/₆ du

x(t) = (3/2) * (u⁵/₆ / (5/6)) + C

where C is the constant of integration.

To find the value of C, we need to use the initial condition x(0) = 2. Substituting t = 0 into the position function, we get:

x(0) = (3/2) * (u⁵/₆ / (5/6)) + C

x(0) = (3/2) * (1⁵/₆ / (5/6)) + C

x(0) = 2

Therefore, C = 2 - (3/2) * (1⁵/₆ / (5/6)) = 2 - (3/2) * (1 / (5/6)) = 2 - (9/5) = 1.2

Substituting C = 1.2 into the position function, we get:

x(t) = (3/2) * (u⁵/₆ / (5/6)) + 1.2

x(t) = (3/2) * ((1+t²)⁵/₆ / (5/6)) + 1.2

Finally, to find the position of the object at time t = 3, we simply substitute t = 3 into the position function:

x(3) = (3/2) * ((1+3²)⁵/₆/ (5/6)) + 1.2

x(3) ≈ 6.59

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Answer:

i'm sorry if i'm wrong but I believe it's 57

Step-by-step explanation:

Answer:

47 degrees

Step-by-step explanation:

First let's find the measure of Angle CAB. We know that angles in a triangle add up to 180 so...

CAB+ACB+ABC=180

CAB+80+57=180

CAB+137=180

CAB=43

We also know that DAB is equivalent to 90 degrees as DAE and DAB are a linear pair which means they add up to 180 degrees. Since DAE is a right angle, DAB also has to be a right angle.

We can use DAB and CAB to find DAC:

DAC+CAB=DAB

DAC+43=90

DAC=47 degrees

Answer:

19

Step-by-step explanation:

A' represents everything out A

B' represents everything out B

C' represents everything out C

So only the outside is left hope this helps

Answer: 56.55

Step-by-step explanation: im assuming there was a typo and instead of free its fee so 25%-12% is 13% and 100%-13% is 87% therefore 87%of 65 is equal to 56.55

Answer:  16

Step-by-step explanation:

Vertical Angles:When you have 2 intersecting lines the angles across they are equal

65 = 4x + 1                    >Subtract 1 from sides

64 = 4x                         >Divide both sides by 4

x = 16

Answer:

16

Step-by-step explanation:

4x + 1 = 64. Simplify that and you get 16.

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

Answer: The most amount of cupcakes she can buy is 16.

Step-by-step explanation: 1.50 multiplied by 16 equals 24

The approximate value of P(-0.78 ≤ Z ≤ 1.16) is obtained being 0.6593

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have  \(X \sim N(\mu, \sigma)\)

(X is following normal distribution with mean \(\mu\) and standard deviation \(\sigma\))

then it can be converted to standard normal distribution as

\(Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)\)

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

\(P(Z \leq z) = P(Z < z) )\)

Also, know that if we look for Z = z in z-tables, the p-value we get is

\(P(Z \leq z) = \rm p \: value\)

For this case, we have to find:

\(P(-0.78\leq Z \leq 1.16)\)

It can be rewritten as:

\(P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z < -0.78) \\P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z \leq -0.78)\)

The p-values for Z = 1.16 and Z = -0.78 from the z-table is found as 0.8770 and 0.2177 respectively, and therefore, we get:

\(P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z \leq -0.78)\\P(-0.78\leq Z \leq 1.16) = 0.8770 - 0.2177 = 0.6593\)

Thus, the approximate value of P(-0.78 ≤ Z ≤ 1.16) is obtained being 0.6593

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Answer:

B.) The answer is 66% if you convert it from decimals

The most appropriate choice for distance will be given by

Veronica has not calculate the number of animals seen per kilometer, she has arranged only on the basis of animals seen.

What is distance?

Distance is how much ground travelled by an object during its motion.

Here,

For River Edge

Number of animals seen = 8

Length of hike =  3 km

Number of Animals seen per km = 8/3

                                                      =2.66

For Wooden Marsh

Number of animals seen = 24

Length of hike =  8 km

Number of Animals seen per km = 24/8

                                                       =3

For Canyon Creek

Number of animals seen = 35

Length of hike =  15 km

Number of Animals seen per km = 35/15

                                                      =2.33

So from least to greatest it will be

Canyon Creek, River Edge, Marshy Land

Veronica has not calculate the number of animals seen per kilometer, she has arranged only on the basis of animals seen. That was her mistake.

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Answer:

B

Step-by-step explanation:

Answer:

$13.4

Step-by-step explanation:

Given that :

Tip percentage = 20%

Amount of bill = $67.13

Rounding the bill Amount to then nearest dollar :

$67.13 = $67

Tip amount = 20% of $67

Tip amount = 0.2 * $67

Tip amount = $13.4