Mathematics College

A piece of machinery depreciates $7000 the first year,
$6800 the second year, and $6600 the third year. If the
rate of depreciation is constant, what is the amount of
depreciation of the piece of machinery in the sixth year?

Answers

Answer 1

Answer:

6000 in the 6th year 39000 total

Step-by-step explanation:

depreciates 200 per year

7000 6800 6600 6400 6200 6000

Related Questions

A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.
64, 40, 45, 43, 33, 50, 47, 49, 42, 28, 55, 64, 55, 41, 65.
64, 50, 45, 51, 23, 35, 64, 43, 45, 37, 37, 47, 34, 27, 49,
62, 39, 35, 44, 23, 36, 42, 34, 32, 52.
D

Answers

The required leaves values for the given stems are calculated below.

What is Stem-and-Leaf plot?

A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.

For example , 42, 34, 48, and so on.

Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.

Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.

4| 2, 8

3| 4

According to question:

65, 40, 47, 47, 33, 55, 44, 49, 46, 22, 58, 65, 56, 41, 63, 65, 54, 42, 58, 29, 39, 66 , 49, 42, 34, 36, 42, 35, 21, 44, 61, 35, 33, 42, 27, 30, 46, 33, 35, 58.

As given in the question that the stem and Leaves are to be separated by a hyphen.

Stem-and-Leaf plot 6 - 5, 5, 3, 5, 6, 1

5 - 5, 8, 6, 4, 8, 8

4 - 0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6

3 - 3, 9, 4, 6, 5, 5, 3, 0, 3, 5

2 - 2, 9, 1, 7

As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.

To know more about Stem-and-Leaf plot visit:

brainly.com/question/12857419

#SPJ1

Problem 2 (Vector and Matrix Refresh) Seven data points are arranged as columns of a data matrix X given as follows: 2 1 0 0 -1 0 -2 X = 2 0 1 0 0 -1 -2 a) Draw all data points on a 2D plane by hand. Properly label the two axes. Clearly provide important tick values to facilitate a precise graphical description of the data. b) Consider each point as a vector. Calculate the angle in between (2 27 and the five other points (excluding [0 07), respectively, using the inner/dot product formula that involves the angle. Note that the angle between two vectors can be negative. c) Calculate the matrix outer product for X, namely, R = XXT. Show the intermediate steps of calculating each element of the 2-by-2 matrix R. d) The matrix outer product can also be calculated via R =

Answers

a) The drawing of all data points on a 2D plane is illustrated below.

b) The angle in between the five other points is 27

c) The matrix outer product for X is R = XXT.

d) The matrix outer product can also be calculated via R is (2,27)

The data matrix X is a 2-by-7 matrix, where each column represents a data point with two components. We can visualize each data point as a vector in a two-dimensional plane, where the horizontal axis represents the first component and the vertical axis represents the second component.

To draw all data points on a 2D plane, we can plot each column of X as a vector starting from the origin. Proper labeling of the two axes and providing important tick values will facilitate a precise graphical description of the data.

Next, we can use the inner product formula to calculate the angle between the first data point (2, 27) and the other five data points, respectively.

The inner product, also known as the dot product, is a way to measure the similarity between two vectors by multiplying their corresponding components and summing the products.

To know more about matrix here

https://brainly.com/question/28180105

#SPJ4

Problem 2 (Vector and Matrix Refresh) Seven data points are arranged as columns of a data matrix X given

Harold is a woodworker and is interested in finding the density of two different types of wood. He bought a pine log that has a 5-inch radius and is 30 inches long. The weight of the log is approximately 42.63 pounds. He also has an oak board that is 5.5 inches wide, 1.5 inches thick and 3 feet long. The board weighs approximately 8.05 pounds.

Part A
Which shapes can you use to model the log and the board?

Answers

Answer:

log = cylinder

board = rectangular prism

Step-by-step explanation:

The log has a radius of 5 in and a length of 30 in.

This implies that the cross-section is a circle, and so it can be modeled as a cylinder.

The board has a width of 5.5 in, a height of 1.5 in and a length of 3ft.

Therefore, it can be modeled as a rectangular prism.

Helppppppp I’ll give brainlyyyyyyyyyyyyy

Answers

The values of a, h and k for the function include the following:

a = 2

h = 3

k = -2

How to write an equation for the transformed logarithm?

In Mathematics and Geometry, the general form of a logarithm function is represented by the following mathematical equation:

f(x) = alog(±x + h) + k

Where:

a represent the scale factor of the logarithmic graphh represent a horizontal translation.k represent a vertical translation.x represent the base.

Based on the given logarithm function f(x) = 2log₄(x + 3) - 2, we can reasonably infer and logically deduce that the scale factor (a) used is equal to 2.

This ultimately implies that, the values of a, h and k for the function are 2, 3, and -2 respectively.

Read more on equation and logarithm graph here: brainly.com/question/11658827

#SPJ1

List two examples of words/phrases that describe the mathematical operation of multiplication.

Answers

Answer:

Multiplied, Group Addition

Step-by-step explanation:

Again, all I know of.

In the diagram below, if AB = 25, AC = 15, and BD = 5, then find the length of DC.

Answers

Given the equation

$\frac{BD}{DC}=\frac{AB}{AC}$

then

$\frac{5}{DC}=\frac{25}{15}$$\frac{5*15}{25}=DC$$DC=\frac{75}{25}$$DC=3$

The length of DC = 3

then correct answer is option d

What is the real part of this complex number :

2i^28 - 3i^25

Answers

Answer:

(2*1)²⁸-(3*2*1)²⁵

=-2.843028803ₓ₁₀¹⁹

9514 1404 393

Answer:

Step-by-step explanation:

i^4 = 1, so powers of i^4 are 1

2i^28 = 2

-3i^25 = -3(i^24)(i) = -3i

The number simplifies to 2 -3i. The real part is 2.

Formulate the quadratic function that contains the points (-2,1), (0,1) and (1,4).

Answers

Answer:

Step-by-step explanation:

Formulate the quadratic function that contains the points (-2,1), (0,1) and (1,4).

Michael received a Grant to make a community garden. He makes a scale drawing of his vision for the garden. Michael's drawing shows the layout of 9 raised garden beds of the same size. The scale from his drawing to the actual garden is 2cm for ever 1ft. What is the actual area of one of the garden beds?

Answers

Answer:

32 ft²

Step-by-step explanation:

Scale factor

2 cm to 1 ft

Size of each garden bed on the drawing

8 cm by 16 cm

Actual size

8cm = 4*2 cm ⇔ 4 ft16 cm = 8*2m ⇔ 8 ft

Area of one garden bed

4 ft * 8 ft = 32 ft²

A mother is 30 years old when her daughter is 4. In how many years will the daughter’s age be half the mother’s age?

Answers

Answer:

in 11 years

Step-by-step explanation: half of 30 is 15 and 11 + 4 is 15.

Answer:Eleven Years

Step-by-step explanation:

Ok, if the mother is 30, then half her age would be 15. Now, if the daughter is 4, you would subtract 15-4, which equals 11.

So the answer is eleven years.

Hope this helped!

Captain’s Autos sells 22 used cars on Monday, and 18 cars on Tuesday. This was 25% of the number of sales for the week. How many cars did they sell altogether of the week?

Answers

The number of cars Captain's Autos sold in total that week is 160.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that:

Number of used cars on Monday = 22Number of cars on Tuesday = 18

Now,

Let's call the total number of cars sold during the week "x".

We know that the number of cars sold on Monday and Tuesday is 25% of the total number of cars sold during the week. So we can write:

$\sf 22 + 18 = 0.25x$

Simplifying, we get:

$\sf 40 = 0.25x$

Dividing both sides by 0.25, we get:

$\bold{x = 160}$

Hence, by the unitary method the answer will be 160.

To learn more about the unitary method, refer to the link below:

https://brainly.com/question/20349467

50 Points!!! Solve each inequality. Then graph the solution set on a number line. Photo attached

Answers

Step-by-step explanation:

plot it on the number line

What would the height need to be for this curve to be a density curve?

1/5
1/4
1/2
1

Answers

For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.

Let's see how the height would need to be for this curve to be a density curve.A density curve is a statistical representation of the distribution of a dataset or population. Density curves are used to describe the distribution of continuous data and provide a visual representation of the likelihood of an event occurring within a specific range of values. It helps to determine the proportion of data that falls within a given range of values. A density curve is used to provide a graphical representation of data without showing the individual data points.To be a density curve, a curve must have the following properties:The curve should be non-negative.The area under the curve should be equal to 1.The curve should be smooth and continuous.There should be no values outside the range of the data.From the above properties, we can conclude that the height required for a curve to be a density curve depends on the data that the curve represents. As long as the curve meets the above conditions, it can be considered a density curve. So, there is no specific height required for a curve to be a density curve. The height of the curve can vary depending on the range of the data and the distribution of the data.

For such more question on properties

https://brainly.com/question/30339264

#SPJ8

increase 6800 by 12%

Answers

Answer:

Step-by-step explanation:

6,800, percentage increased by 12% (percent) of its value = 7,616

20, percentage increased by 1,000% (percent) of its value = 220

1,000,000, percentage increased by 0.49% (percent) of its value = 1,004,900

Answer:

7616

hope it helps

mark brainliest please

Evaluate.

34+(12+14)2⋅2

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

=1.875

Step-by-step explanation:

Add: 1/

+ 1/

= 1 · 2/

2 · 2

+ 1/

= 2/

+ 1/

= 2 + 1/

= 3/

It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one half plus one quarter is three quarters.

Exponentiation: No. 1 ^ 2 = 3/

^ 2 = 32/

= 9/

In other words - three quarters raised to the power of squared is nine sixteenths.

Multiple: No. 2 * 2 = 9/

* 2 = 9 · 2/

16 · 1

= 18/

= 9 · 2/

8 · 2

= 9/

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 16) = 2. In the following intermediate step, cancel by a common factor of 2 gives 9/

In other words - nine sixteenths multiplied by two is nine eighths.

Add: 3/

+ the result of step No. 3 = 3/

+ 9/

= 3 · 2/

4 · 2

+ 9/

= 6/

+ 9/

= 6 + 9/

= 15/

Can someone help me with this? I want to understand each step.
Thank you

Answers

The first 5 terms of the sequence is given by A = { -4.8 , 1.92 , -0.768 , 0.3072 , -0.12288 }

Given data ,

Let the geometric sequence be represented as A

Now , the value of A is

A = 12 ( -2/5 )ⁿ

On simplifying , we get

when n = 1

A₁ = 12 ( -2/5 ) = -4.8

A₂ = 12 ( -2/5 )²

A₂ = 12 ( 4/25 ) = 1.92

A₃ = 12 ( -2/5 )³

A₃ = -12 ( 8/125 ) = -0.768

A₄ = 12 ( -2/5 )⁴

A₄ = 12 ( 16 / 625 ) = 0.3072

A₅ = 12 ( -2/5 )⁵

A₅ = -12 ( 32 / 3,125 ) = -0.12288

Hence , the geometric sequence is solved

To learn more about geometric progression click :

https://brainly.com/question/1522572

#SPJ1

On a number line, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with number a. For example b= 11/4 when a= -11/4

A) b=-a

B) -b=-a

C) b-a=0

D) b(-a)=0

Answers

Answer:

B and A

Step-by-step explanation:

So based on the facts given, we know that b and a both have the same abasolute value. It does not matter whether a or b is negative or positive.

formula for density
formula for density

Answers

Answer:

The formula for density (ρ) is:

Density (ρ) = Mass (m) / Volume (V)

Step-by-step explanation:

Where:

Density is measured in units such as kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³).Mass is the amount of matter in an object and is typically measured in kilograms (kg) or grams (g).Volume is the amount of space occupied by an object and is typically measured in cubic meters (m³) or cubic centimeters (cm³).

I don't think it's anything under 4in, but I'm not sure.

Answers

Answer:

Step-by-step explanation:

All you would have to do is read the question. Because if it is like a block than it couldn't be any closer to the bottom than five inches.

Can like someone do this on paper???
It would be helpful is someone awake to do this if so brainlist for that person

Answers

Step-by-step explanation:

Im gonna do that now, I'm not very sure how to do it, but I'll try my best

The dimensions of a track used for cycling competitions, called a velodrome, ismeasured in meters. Addison currently bikes in a 7.5 kilometer race, which is 30 lapsaround the track, or a total of approximately 4.65 miles. For the next race, Addisonwould like to bike in the longer race, which is 40 laps. Approximately how many miles isthis race?

Answers

Given:

The laps are 30

Total distance = 7.5 Kilometer

Find-:

The distance when bikes laps are 40

Explanation-:

The radius of the bike = x

The distance of one lap

$=2\pi r$

Where

$r=\text{ Radius}$

The distance of 30 laps is:

$\begin{gathered} =2\pi r\times(30) \\ \\ =60\pi r \end{gathered}$

The distance is 75 kilometers.

$60\pi r=7.5$

A kilometer is 4.65 miles.

So, distance is:

$\begin{gathered} =7.5\times4.65 \\ \\ =34.875\text{ miles} \end{gathered}$

The radius is:

$\begin{gathered} 60\pi r=34.875\text{ miles} \\ \\ r=\frac{34.875}{60\times\pi} \\ \\ r=\frac{0.58125}{\pi} \\ \\ r=0.185\text{ miles} \end{gathered}$

The distance of 40 laps is:

$\begin{gathered} \text{ Distance }=40\times2\pi r \\ \\ \text{ Distance }=80\pi r \\ \\ \text{ Distance }=80\times\pi\times0.185 \\ \\ \text{ Distance }=46.5\text{ miles} \end{gathered}$

The distance of the race is 46.5 miles

Answer:

The distance of the race is 46.5 miles

Step-by-step explanation:

you can have the points

Answers

Yes no maybe so up down around thank you

With workings please

Answers

The probability that he passes Math and does not pass Physics is given as follows:

0.28 = 28%.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The probabilities for each event is given as follows:

Passes Math: 0.7.Does not pass Physics: 1 - 0.6 = 0.4.

The events are independent, hence the probability that he passes Math and does not pass Physics is given by the multiplication of the probabilities of each event, as follows:

0.7 x 0.4 = 0.28 = 28%.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

Consider the equation 5 – 3(2x – 7) = 12 – 5(x – 2). Is x = 2 a solution to this
equation? Is x = 4 a solution to this equation? Explain your reasoning in each case

Answers

Answer:

see below

Step-by-step explanation:

5 – 3(2x – 7) = 12 – 5(x – 2)

Substitute x=2

5 – 3(2*2 – 7) = 12 – 5(2 – 2)

5 – 3(-3) = 12 – 5(0)

5 - 3*(-3) = 12

5+9 = 12

14=12

This is false so it is not a solution

5 – 3(2x – 7) = 12 – 5(x – 2)

Substitute x=5

5 – 3(2*4 – 7) = 12 – 5(4 – 2)

5 – 3(8-7) = 12 – 5(2)

5 - 3*1 = 12-10

5-3 = 2

2=2

This is true so it is a solution

HELP ME PLEASE!!!!!!!!!!!!

Answers

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

How to find the trigonometric ratios?

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

Read more about Trigonometric ratios at: https://brainly.com/question/13276558

#SPJ1

A washer and a dryer cost $450 combined. The cost of the washer is two times the cost of the dryer. What is the cost of the dryer?

Answers

Answer:

$150

Step-by-step explanation:

so you can divvy this up into 3 parts

$150 each

now put 2 parts into one, and one into the other. The cost of the washer is $150

cost of the dryer is$ 300

line rs intersects triangle bcd at two points and is parallel to segment dc. triangle b c d is cut by line r s. line r s goes through sides d b and c b. lines d c and r s are parallel. width

Answers

This question is related to the properties of similar figures. So, the true statements are

ΔBCD is similar to ΔBSR

BR/RD = BS/SC

BR * SC = RD * BS

Given that, RS is parallel to DC, so

∠BDC = ∠BRS (they are angles on the same side of transversal)

Similarly, we have

∠BCD = ∠BSR (they are angles on the same side of transversal)

∠CBD = ∠CBD (reflexive property)

ΔBCD ~ ΔBSR by Angle Angle Angle rule of congruency

ΔBCD ~ ΔBSR we therefore have,

BC/BS = BD/BR

(BS + SC)/ BS = (BR + RD) /BR

1 + SC/BS = 1 + RD/BR

SC/BS = RD/BR

Taking reciprocal on both sides, we have

BR/RD = BS/SC

From the above proven property, BR/RD = BS/SC

On cross multiplication, we get

BR * SC = RD * BS

To know more about similar triangles:

https://brainly.com/question/29378183

#SPJ4

can i get help please

Answers

Answer:

Step-by-step explanation:

side BC = side AB

so their base angles that is ∠A = ∠C = (3x+20)°

now, total measure of the angles of a triangle is 180° & ∠B = x°

Now,

m∠A + m∠B + m∠C = 180

⇒ 3x + 20 + x + 3x + 20 = 180

⇒ 7x + 40 = 180

⇒ 7x = 140

⇒x = 20

Show your work please help me it’s due tomorrow!!!!

Answers

Answer: Consider me the brainiest. The answer is... Decimal form =4.083

Exact form= 49/12

The mixed number form=4 1/12

How do we solve fractions step by step?

Conversion a mixed number 2 1/3 to a improper fraction: 2 1/3 = 2 1/3 = 2 3 + 1/3 = 6 + 1/3 = 7/3

To find a new numerator

A; Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from the previous step 6 to the numerator 1. The new numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one-third are seven-thirds.

Conversion a mixed number 1 3/4 to a improper fraction: 1 3/4 = 1 3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4

To find a new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4

b) Add the answer from the previous step 4 to the numerator 3. The new numerator is 4 + 3 = 7

c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters are seven quarters.

Add: 7/3 + 7/4 = 7 · 4/3 · 4 + 7 · 3/4 · 3 = 28/12 + 21/12 = 28 + 21/12 = 49/12 It

is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by cancelling. In other words - seven thirds plus seven quarters is forty-nine twelfths.

he polynomial of degree 5, P ( x ) has leading coefficient 1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 1 Find a possible formula for P ( x ) .
f]

Answers

The possible formula for the polynomial in discuss whose roots are described as; having roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 1 is; P(x) = x^5 -5x⁴-6x³+18x².

What is the polynomial in discuss whose roots and leading coefficient are as discussed?

The polynomial which is as described in the task content whose roots are as given can be written in its factorised form as follows;

P(x) = (x-3) (x-3) (x) (x) (x+1)

The expanded form is therefore;

P(x) = x^5 - 5x⁴- 6x³+ 18x².

Therefore, the polynomial having roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 1 is P(x) = x^5 - 5x⁴- 6x³+ 18x².

A piece of machinery depreciates $7000 the first year, $6800 the second year, and $6600 the third year. If the rate of depreciation is constant, what is the amount of depreciation of the piece of machinery in the sixth year?

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

A piece of machinery depreciates $7000 the first year,
$6800 the second year, and $6600 the third year. If the
rate of depreciation is constant, what is the amount of
depreciation of the piece of machinery in the sixth year?