Find fourconsecutive integers with the sum of 54

The y intercept is $25000, the percentage loss is 10% and the decay factor is 0.9

An equation is a mathematical expression that contains two or more numbers and variables linked together by mathematical operations such as exponents, multiplication, division, addition, subtraction and so on.

The standard form of an exponential function is:

y = abˣ

where a is the initial value and b is the multiplication factor.

Let y represent the cost of a van after x years. It is given by:

y = 25000(0.9)ˣ

hence, comparing gives a = 25000, b = 0.9

a) The y intercept is $25000

b) Percentage loss = 1 - 0.9 = 0.1 = 10%

b) Decay factor = b = 0.9

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The value of x in the first figure is 10

The value of x in the second figure is 12

In the first figure the value of x is solved using the concept of angels on a straight line which  is 180 degrees

Therefore,

6x - 10 + 4x + 6 + 7x + 14 = 180

collecting like terms

6x + 4x + 7x + 6  + 14 - 10  = 180

17x + 10 = 180

17x = 180 - 10

17x = 170

x = 10

The second figure is solved using alternate interior angles

4x + 10 = 58

solving for x

4x = 58 - 10

4x = 48

x = 12

Learn more abbot alternate interior angles at:

https://brainly.com/question/26167358

#SPJ1

Answer:

6j+6

Step-by-step explanation:

I think it would be 6j+6 unless you didn't add the full problem.

The cumulative frequency of the third class is 73. This means that 73 out of the 86 mid-level managers surveyed spent between 14 and 20 days traveling each year.

The cumulative frequency of the third class is the sum of the frequencies of all the classes up to and including the third class. In this case, the frequency of the third class is 35, and the frequencies of the first two classes are 13 and 25, respectively. So, the cumulative frequency of the third class is:

13 + 25 + 35 = 73

This means that 73 out of the 86 mid-level managers surveyed spent between 14 and 20 days traveling each year.

Learn more about cumulative :

https://brainly.com/question/15088938

#SPJ4

The perimeter and area of triangle ABC are 22.15 units and 15 square units

From the question, we have the following parameters that can be used in our computation:

A (-5, 2), B (-3, 5), C (5, 2), and D (-3, 2).

For the perimeter, we calculate the side lengths using the distance formula

So, we have

AB = √[(-5 + 3)² + (2 - 5)²] = √13

AC = √[(-5 - 5)² + (2 - 2)²] = 10

BC = √[(-3 - 5)² + (5 - 2)²] = √73

So, we have

Perimeter = √13 + 10 + √73

Evaluate

Perimeter = 22.15 units

For the area, we have

Area = 0.5 * | (x1 * y2 + x2 * y3 + x3 * y1) - (x2 * y1 + x3 * y2 + x1 * y3) |

Area = 0.5 * | (-5 * 5 + -3 * 2 + 5 * 2) - (-3 * 2 + 5 * 5 + -5 * 2) |

Area  = 15 square units

Read more about triangle at

https://brainly.com/question/19387653

#SPJ1

The solution is Option C.

The measures of the legs of the isosceles trapezoid is given by the proportion equation L₂ = 15.5 inches

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the measure of legs of PQRS trapezoid be L₂

Let the first trapezoid be represented as T₁ = ABCD

The measure of the legs of T₁ = L₁

And , Let the second trapezoid be represented as T₂ = PQRS

The measure of the legs of T₂ = L₂

The perimeter of T₁ = 72.8 inches

The perimeter of T₂ = 91 inches

The measure of L₁ = 12.4 inches

Now , the two trapezoids are similar

So , measure of L₁ / perimeter of T₁ = measure of L₂ / perimeter of T₂

Substituting the values in the equation , we get

( 12.4 / 72.8 ) = L₂ / 91

Multiply by 91 on both sides of the equation , we get

The measure of L₂ = ( 12.4 x 91 ) / 72.8

The measure of L₂ = 15.5 inches

Hence , the measure of legs of trapezoid is 15.5 inches

To learn more about trapezoid click :

https://brainly.com/question/12221769

#SPJ1

Answer:

x+6+x-y = 2x-y+6

Step-by-step explanation:

In the expression "3(x+2)," there is only one variable, "x." There are two factors in this expression: "3" and "(x + 2)." The "3" is performing multiplication , so it is multiplying the expression "(x + 2)" by 3, the answer is product.

In mathematics, a variable is a symbol that represents a value that can change or vary. Variables are often used in mathematical equations and formulas to represent unknown or unspecified values.

A factor is an element in a mathematical expression that is being multiplied by another element In general, a mathematical expression can have multiple factors. The factors of a polynomial are the terms that are being multiplied together to form the polynomial.

To know more about identify parts using mathematical expression visit :

https://brainly.com/question/11980612

#SPJ1

16 × 40 = 640

Therefore, 40 miles is 640 kilometers.

Answer:

x = 0.37686455

Step-by-step explanation:

Answer: x≈0.37686455

Step-by-step explanation:

Answer:

The distance around the edge of a circular pool is equal to its circumference. If the circumference is 24 meters, then we can use the formula for circumference of a circle, C = 2πr, to find the radius, r.

C = 2πr

24 = 2πr

12 = πr

r = 12/π

The distance from the edge of the pool to the center is equal to the radius of the pool. So, the distance from the edge of the pool to the center is:

r = 12/π = 12/3.14 = 3.83 meters (rounded to 1 decimal place)

To form a solid hypothesis, Darius needs to have defined parameters for concentration, problem-solving, and creativity, a designed measurable methodology, and a control group for comparison. An example of a hypothesis could be that individuals who use the brain-building website will display significant improvement compared to those who don't. Darius could test his hypothesis by measuring the changes in the parameters in two groups of participants at different time intervals.

Darius needs to focus on three primary aspects to construct a hypothesis that can test the claims of the brain-building website. These include clearly defining parameters for concentration, problem-solving skills, and creativity, designing a measurable methodology to observe any potential changes in these parameters, and determining a control group for comparison with the group using the website.

An example of a hypothesis might be, 'Individuals who regularly engage with the brain-building website for a period of six weeks will display a statistically significant improvement in validated measures of concentration, problem-solving skills, and creativity compared to a control group of similar individuals not using the website.'

Darius could then design a study where one group of participants regularly use the website over a period of time while another group does not, measuring changes in the defined parameters in both groups at the start, middle, and end of the study period.

https://brainly.com/question/31784507

#SPJ2

Answer:

60

explanation

divide 39 by 65%,

you will get

39 / ( 65/ 100)

= 39 * (100/65)

= 39 * (20 /13)

= 3*20

= 60

Answer:

Below

Step-by-step explanation:

The maximum area of land that can be enclosed is a SQUARE

  using the river as one side of the square means there are 3 sides that total 800 ft     800 / 3 = 266 2/3 ft per side

  area would then be L x W =    266 2/3  * 266 2/3 = 71111  1/9 ft^2

The solution to the system of Inequalities is gotten as;  (1, 1)

The system of inequalities given for which we are to graph are;

y ≤ x + 2

y < -2x - 1

Now, to find the solution of the system of Inequalities, we will graph both of them on the same graph and the solution will be the point at which both lines intersect each other.

The graph attached shows that the solution of the inequalities is (1, 1)

Read more about Inequality Graph at; https://brainly.com/question/11234618

#SPJ1

An octagon is a two-dimensional shape with eight sides, the degree measure of the largest interior angle of the octagon.

Each pair of opposite sides of the octagon are parallel. We can use the formula to determine the degree measure of the largest interior angle of the octagon.

The formula used is: 180(n-2)/n, where n represents the number of sides in the shape. In this case, n is 8, so the equation would be: 180(8-2)/8, which would give us the result of 160.

Therefore, the degree measure of the largest interior angle of the octagon is 160 degrees. This can also be calculated by adding up the internal angles of the octagon, as each interior angle is equal to 360 divided by the number of sides, in this case 8. 360/8 = 45, so 8x45 = 360. If we add all the angles together (4x45 + 3x45 + 3x45) we get 360, which is equal to the degree measure of the largest interior angle of the octagon.

Learn more about octagon here:

https://brainly.com/question/16543440

#SPJ4

$20,000 due in 50 years would be worth approximately $6,307.51 today, if the discount rate were 7.5%.

The present value of $20,000 due in 50 years, discounted at 7.5%, can be calculated using the formula:

PV = FV / (1 + r)^t

Where:

PV = present value

FV = future value ($20,000)

r = discount rate (7.5%)

t = number of years (50)

Plugging in the numbers, we get:

PV = $20,000 / (1 + 0.075)^50

PV = $20,000 / (1.075)^50

PV = $20,000 / 3.16907

PV = $6,307.51

Learn more about future value at:

https://brainly.com/question/25805668

#SPJ1

The inequality to model the situation will be 24b ≤ 250

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

Based on the information, the inequality to model the situation will be 24b ≤ 250. The number of baseball will be:

24b ≤ 250

b ≤ 250 / 24

b ≤ 10

The number of baseball will be 10 or less.

Learn more about inequalities on:

brainly.com/question/24372553

#SPJ1

The dimensions of the sides DH, VW, and WX are, respectively, 14, 12, and 30.

Two figures are known to be similar if the ratio of their similar sides is equal to a constant.

From the polygons given, the following expressions are true;

DH/12 = 21/18

18DH = 12 × 21

18DH = 252

DH = 14

Similarly:

VW/14 = 18/21

21VW = 14 * 18

21VW = 252

VW = 12

Also;

35/WX = 21/18

21WX = 35 * 18

21WX = 630

WX = 30

Therefore the measure of the sides DH, VW and WX are 14, 12 and 30 respectively.

Learn more on similar figures here: https://brainly.com/question/10617384

#SPJ1

Therefore , the solution of the given problem of expression comes out to be the 8 expressions are given below.

Addition, multiplication, division, and other mathematical operations are required. When combined, they produce the following: A mathematical operator, some data, and an equation A statement of fact contains values, parameters, and operations like additions, subtractions, multiplications, and divisions. It is possible to contrast and compare various phrases and words.

Here,

Given :

Original expression of eight terms including 3 operations are:

=> 10*2-10 =10

=> 100 * 2 -100 = 100

=> 50/2 - 10 = 15

=> 400/2 - 100 + 100 = 200

=> 500 - 100 + 200 = 600

=> 10/2 - 5=0

=> 6 * 10 - 8 = 52

=> 10*8 - 8 =72

Therefore , the solution of the given problem of expression comes out to be the 8 expressions are given below.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

When 3 is the input, the output is 10. When 10 is the input, the output is 15.

It should be noted that the input for the function is time, measured in hours. The output of the function is energy usage, measured in kilo watts.

From the information, the energy usage of a light bulb is a function. The input for the function is time measured in hours. The output of the function is energy usage, measured in Kilo watts. E (energy) is a function of t (time).

The graph of the function will show energy usage on the y axis and time on the x axis.

Learn more about energy on:

https://brainly.com/question/11577594

#SPJ1

Answer:

p = 975

Step-by-step explanation:

Divide both sides by 25

 25 (p - 949)

-------------------- = 650/25

         25

Then Simplify

p - 949 = 26

Move 949 to the right side

And For your answer you will get:

p = 975 (sorry if i got it wrong)

The gross pay for the given service is $343.2.

Gross pay is what employees earn before taxes, benefits and other payroll deductions are withheld from their wages.

Given that, the regular salary of some service is $7.80 per hour, we need to calculate the gross payment with over time hour, which is 4 hours and regular hour of work is 40 hours.

Therefore,

To find, gross payment, we will multiply by 7.80 by 4 and 40, and add both to get the regular salary,

Gross payment = 7.80 × 4 + 7.80 × 40  

= 7.80(4+40)

= 7.80 × 44

= 343.2

Hence, the gross pay is $343.2

Learn more about gross pay, click;

https://brainly.com/question/14690804

#SPJ1

Since <1 and <2 are vertical angles, they are equal, so m<2 = 8x - 15 = 8(6) - 15 = 39°  , Since <2 is supplementary to <3,  m<3 = 180° - 39° m<3 = 141°

Vertical angles are angles that are opposite each other when two lines cross. They always have the same measure and are supplementary angles (add up to 180°). Vertical angles are also known as opposite angles or vertically opposite angles. When two lines intersect, four angles are formed. The two pairs of angles opposite each other are known as vertical angles. This is because the lines that they share are vertical to each other, which is why they are also known as vertically opposite angles. Vertical angles can be found in a variety of shapes and figures, including parallelograms, triangles, and quadrilaterals. They can be used to solve many mathematical problems and are an important concept to learn in geometry.

4x + 9 = 8x - 15

4x - 8x = -15 - 9

-4x = -24

x = 6

Therefore, m<2 = 8x - 15 = 8(6) - 15 = 39°

Since <2 is supplementary to <3,

m<3 = 180° - 39°

m<3 = 141°

To learn more about vertical angles visit :-

brainly.com/question/18450499

#SPJ1

The type of measurement scale is interval. A quantitative measuring scale with order, meaningful and equal differences between the two variables, and arbitrary zero presence is known as an interval scale.

In mathematics, an interval is quantified in terms of numbers. Every number between two specific integers is considered to be an interval. Between those two values, this range encompasses all real numbers. Real numbers can be of any type you can imagine. A fourth is a musical interval that spans four staff positions in Western music notation, and a perfect fourth is one that spans five semitones. The interval can be calculated by counting both the lines or spaces that the two notes are on as well as all the lines or spaces in between. A third of a second separates B from D. A sixth space separates A from F.

Learn more about interval here

https://brainly.com/question/29130032

#SPJ4

A correlation coefficient of -0.9 means that there is a strong negative linear relationship between two variables, while a correlation coefficient of 0 means that there is no linear relationship between the two variables.

When two variables have a strong negative linear connection, the values of one variable grow while the values of the other variable fall, and vice versa. When there is no linear relationship, the values of the two variables are more densely packed around the line of best fit, resulting in a smaller standard deviation.

When there is no linear relationship between two variables, the values of the variables are randomly distributed, and there is no consistent link between them. The standard deviation is bigger in this case because the values of the two variables are more spaced apart.

For more questions on correlation coefficient

https://brainly.com/question/4219149

#SPJ4

Answer:

The Isosceles Base Angles Theorem states that if two sides of a triangle are equal, then the angles opposite to those sides are equal.

Given: GB = GD

Since GB = GD, triangle ZDGB is isosceles.

By definition of bisects, GU bisects ZDGB.

By the Angle Bisector Theorem, ZG/ZU = GD/GU.

Because GB = GD, ZG = ZU.

By substitution, ZG/ZU = ZG/ZU. Hence, ZB = ZD.

Therefore, ZB ZD, which proves the Isosceles Base Angles Theorem.

The probability of the sum of the upturned faces equal to 7 is Decimal answer is 0.1666667  and rounding to the hundredths place is 16.6%.

There are 66=36 potential pairs of die rolls because the two are independent of one another. Only the following pairs of rolls total seven out of those. (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). The probability of our two die rolls adding up to 7 would then obviously be: 6 ÷ 36 = 1 ÷ 6 = 0.1666667  rounding to the hundredths place = 16.6%. Probability is simply the possibility that something will happen. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several.

To learn more about probability click here

brainly.com/question/9793303

#SPJ4