One year, a company sales increased by 15%. The following year the company's sales increased by 18%. Calculate the overall percentage increase

The correct answer is option c. translation of 1 unit left and 3 units down.

The transformation represented by S + [\begin{array}{ccc}-1&-1&-1\\-3&-3&-3\end{array}\right] is a translation of 1 unit left and 3 units down. This can be seen by examining the values in the matrix. The -1 in the first row represents a translation of 1 unit left, while the -3 in the second row represents a translation of 3 units down. Therefore, the correct answer is option c. translation of 1 unit left and 3 units down.

To summarize, the transformation represented by the given matrix is a translation of 1 unit left and 3 units down. This is indicated by the values of -1 and -3 in the matrix.

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The scatter plot indicates that the best graph with a line that fits the data is one with a line passing through approximately 2 comma 5 and 4 comma 4.

Data visualisation that demonstrates the link between various variables is known as a scatter plot. Different data points are positioned between an x- and y-axis to display this data. Each of these data points appears to be "scattered" across the graph, which is how this kind of data visualisation gets its name.

This is because the main trend of the data, which seems to slope downwards, is captured by the line that passes through these places. The other lines don't seem to cover as many points or represent the data trend as effectively.

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The cost of A Plus Advertising will be less than the cost of Print and More if the number of flyers to be printed and delivered is greater than 160.

Let's assume that the number of flyers to be printed and delivered is "x".

The cost of A Plus Advertising can be represented as:

Cost_A = 0.10x + 24

The cost of Print and More can be represented as:

Cost_P = 0.25x

To find out for how many flyers the cost of A Plus Advertising is less than the cost of Print and More, we need to set up an inequality:

Cost_A < Cost_P

0.10x + 24 < 0.25x

Subtracting 0.10x from both sides, we get:

24 < 0.15x

Dividing both sides by 0.15, we get:

160 < x

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The value of z when t=2 is 24

The value of z varies inversely with t, which means that the product of z and t is a constant. We can write this relationship as:

zt = k

Where k is the constant. We are given that z=6 when t=8, so we can plug these values into the equation to find k:

6*8 = k

k = 48

Now we can use this value of k to find the value of z when t=2. Plugging in these values gives us:

z*2 = 48

Solving for z gives us:

z = 48/2

z = 24

Therefore, the value of z when t=2 is 24.

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The percentage of  people who participated in the race finished in less than 56 minutes is 34%. This can also be written as the equivalent fraction 34/100

To find the percentage of people who finished the race in less than 56 minutes, we can use the following formula:

percentage = (part/whole) x 100%

where "part" is the number of people who finished in less than 56 minutes, and "whole" is the total number of people who participated in the race.

In this case, we know that 17 people finished in less than 56 minutes, and there were 50 people in total. So we can plug these values into the formula:

percentage = (17/50) x 100%

percentage = 34%

Therefore, 34% of the people who participated in the race finished in less than 56 minutes.

To write an equivalent fraction for this percentage, we can write:

34% = 34/100

This is an equivalent fraction because 34/100 can be simplified to 17/50

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There are 9 possible comparisons that Adnan can write using the temperatures of the three nearby cities.

Combinations are the procedures used in mathematics to pick k things from n different items without replacement.

The following formula computes the combinations of k items from n:

(n, k) = n! / k!×(n-k)!

Let's say that Adnan looks up the current temperature in three nearby cities and writes down their temperatures as T1, T2, and T3.

To compare the temperatures, Adnan can choose any two of the temperatures and write a comparison of them.

Since there are three temperatures, there are a total of three possible pairs of temperatures that Adnan can choose:

1. T1 and T2

2. T1 and T3

3. T2 and T3

For each pair of temperatures, Adnan can write a comparison in one of three ways:

T1 is greater than T2 (T1 > T2)

T1 is less than T2 (T1 < T2)

T1 is equal to T2 (T1 = T2)

So, Adnan can write a total of nine possible comparisons of the temperatures:

T1 > T2,

T1 < T2,

T1 = T2,

T1 > T3,

T1 < T3,

T1 = T3,

T2 > T3,

T2 < T3, and

T2 = T3.

These are all the possible comparisons that Adnan can write using the temperatures of the three nearby cities.

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Answer:it would be 25

Step-by-step explanation:

The frequency table when constructed is

Grade Frequency Relative Frequency Cumulative Frequency

A               3              12.5%                               3

B               8              33.3%                              11

C               8               33.3%                       19

D               4               16.7%                              23

F               1                        4.2%                        24

Total        25               1 or 100%

The grades A to F represent the given parameter

From the given grade, we have the following frequencies

A = 3

B = 8

C = 8

D = 4

F = 1

From the above frequency, we have the relative frequency to be

A = 3/24 = 12.5%

B = 8/24 = 33.3%

C = 8/24 = 33.3%

D = 4/24 = 16.7%

F = 1/24 = 4.2%

From the above frequency, we have the cumulative frequency to be

A = 3

B = 11

C = 19

D = 23

F = 24

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An abscissa is a line that is drawn perpendicular to the vertical axis, or y-axis, of a graph. It is usually measured in the form of a number, and it is used to determine the position of points, lines, and shapes on a graph. Abscissas are also referred to as the x-coordinates of a graph, and they can be used to plot and analyze data.

Quadrants are the four sections of a coordinate plane formed by the intersection of the x-axis and the y-axis. Quadrants are labeled I, II, III, and IV, with Quadrant I being the upper right-hand corner, Quadrant II being the upper left-hand corner, Quadrant III being the lower left-hand corner, and Quadrant IV being the lower right-hand corner. Quadrants are commonly used to graph equations and to identify points on a coordinate plane.

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Hope this helps!  the screenshot is inserted and the explanation and answer are there

Answer:

Step-by-step explanation:

The mean is 636.9, I got you brotha

Answer:

636.9

Step-by-step explanation:

684+615+648+598+654+612+606+621+642+689

=6369

6369÷10=636.9

The distance between the stop signs is 0.375 miles or roughly 0.6 kilometers.

distance between stop signs = 3 miles / 8

= 0.375 miles

While distance and displacement appear to have the same meaning, they actually have very different definitions and implications. Displacement is the measurement of "how far an object is out of place," whereas distance refers to "how much ground an object has covered during its motion."

Distance is the sum of an object's movements, regardless of direction. The distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

The scalar quantity known as distance measures "how much ground an object has traversed" while moving.

From the question:

We can use the following calculation to calculate the separation between the stop signs:

distance between stop signs = total distance/number of intervals

There are 8 spaces between the stop signs and a total distance of 3 miles in this instance. As a result, we can determine the separation between the stop signs as:

distance between stop signs = 3 miles / 8

= 0.375 miles

As a result, there are 0.375 miles (or 0.6 kilometers) between each stop sign.

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The volume of the fully inflated balloon is [tex]\frac{19652}{3}[/tex]π inch³ and volume of half inflated balloon is  [tex]\frac{19652\pi }{6}[/tex].

Volume of a three dimensional shape is the space occupied by the shape.

Given that,

Diameter of a fully inflated balloon = 34 inch

Radius is half the diameter.

Radius of fully inflated balloon = 34 / 2 = 17 inches

Volume of a sphere = [tex]\frac{4}{3}[/tex] π r³, where r is the radius.

(a) Volume of fully inflated balloon = [tex]\frac{4}{3}[/tex] π (17)³

                                                    = [tex]\frac{19652}{3}[/tex]π inch³

(b) Volume of the half inflated balloon = Half of the fully inflated volume

                                                          = ([tex]\frac{19652}{3}[/tex]π / 2) inch³

                                                          = [tex]\frac{19652\pi }{6}[/tex] inch³

(c) Volume of half inflated balloon = [tex]\frac{19652\pi }{6}[/tex]

[tex]\frac{4}{3}[/tex] π r³ = [tex]\frac{19652\pi }{6}[/tex]

[tex]\frac{4}{3}[/tex] r³ = [tex]\frac{19652}{6}[/tex]

r³ = [tex]\frac{19652}{8}[/tex]

r = 13.49 inch

Hence the volume and radius are found.

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The measured unknown sides are -

GH = 4.6

QR = 1.3

AB = 15

UW = 41

Two triangles are similar if the ratio of their corresponding sides is same and their corresponding angles are equal.

Given are the triangles as shown in the image.

{ 1 } -

We can write -

GH/HJ = GK/KJ

GH/4.6 = 3.6/3.6

GH = 4.6

{ 2 } -

QT/TS = QR/RS

4.7/4.7 = QR/1.3

QR = 1.3

{ 3 } -

AD/DC = AB/BC

AD/AD = AB/BC

AB/BC = 1

5x/4x + 3 = 1

5x = 4x + 3

x = 3

AB = 15

{ 4 } -

UW/UV = DW/DV

7x + 13 = 9x + 1

3x = 12

x = 4

UW = 41

Therefore, the measured unknown sides are -

GH = 4.6

QR = 1.3

AB = 15

UW = 41

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Lesley has 5/9 of the counters that Adam initially had.

An element of a number or any number of equal parts is represented by a fraction. There is a fraction with an upper value (numerator) and a lower value (denominator) (lower value).

Ten of the 18 counters that Adam had were given to Lesley. Lesley currently possesses 10 counters.

We must divide Lesley's total number of counters by Adam's starting total number of counters in order to determine the proportion of the 18 counters that Lesley has:

Lesley has 10/18 counters, which is her percentage.

By dividing the numerator and denominator by their 2 greatest common factor, we may simplify this fraction:

Lesley has a fraction of the counters she needs: (10 ÷ 2) / (18 ÷ 2) = 5/9

Lesley now owns 5/9 of the counters that Adam started with.

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Answer:

360 people pledged $25.

Step-by-step explanation:

You'll need to set up only one equation to solve this.

Let's use x for the number of people who pledged $50. Since twice as many people pledged $25, it would be 2x. Keep this in mind for later.

Multiply 2x by 25, and you should get 50x. Now, your equation is 50x + 50x = 18,000. Simplify this to 100x = 18,000.

Now, divide both sides by 100. After doing so, you should have x = 180. This is how many people pledged $50. To find how many pledged $25, plug the value of x into 2x. (In other words, multiply 180 by 2.) After doing so, you should get 360. This is how many people pledged $25.

Hope this helps!

Answer:

angle 1 will be 32

angle 2 will be 2

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Starting with a $500 investment, you would have approximately $6,795.70 after 40 years if the investment increases exponentially by about 15% every 2 years.

Algebraic expression can be defined as combination of variables and constants.

To find the future amount of the investment after 40 years, we can use the formula for compound interest:

Future Amount = Present Value x (1 + Interest Rate/Compounding Frequency)^(Compounding Frequency x Time)

In this case, the present value (PV) is $500, the interest rate (r) is 15%,

the compounding frequency (n) is 1 (since the interest is compounded every 2 years).

The time (t) is 40 years.

Plugging in the values, we get:

Future Amount = [tex]500 \times (1 + 0.15/1)^{(1 \times 40/2)}[/tex]

Future Amount = [tex]500 \times (1.15)^{20}[/tex]

Future Amount = [tex]500 \times 13.591409[/tex]

Future Amount = $6,795.70 (rounded to the nearest cent)

Therefore, starting with a $500 investment, you would have approximately $6,795.70 after 40 years if the investment increases exponentially by about 15% every 2 years.

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It is a unique variety of quadrilateral called a parallelogram that has both pairs of opposite sides parallel and equal.

A polygon with has four sides, four angles, and four vertices is called a quadrilateral. The Latin words 'Quadri', which denotes four, and latus, which means side, were combined to form the English word quadrilateral.

Given, Height of the Parallelogram = 2 units

Each segment on the grid is represented as = 1 unit.

So, One side of the Parallelogram = 3 units

Properties of Parallelogram

a. Opposite sides are equal.

b. Opposite sides are parallel.

c. Diagonals Bisect each other.

Also, Every Rectangle is a Parallelogram.

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There are expected to be about 225,000 millipedes in the area of rainforest in 20 years time. Rounded to the nearest 100, this is 225,100.

What is percentage growth rate?

The exponential function with a growth factor has a rate greater than 1

We can use the formula for exponential growth to answer this question:

P(t) = P₀(1 + r)ᵗ

where P₀ is the initial population, r is the annual growth rate as a decimal, t is the number of years, and P(t) is the population after t years.

a) For the first part of the question, we can plug in the given values and solve for P(5):

P₀ = 50

r = 0.62

t = 5

P(5) = 50(1 + 0.62)⁵ ≈ 763

Therefore, there are expected to be about 763 millipedes in the area of rainforest in 5 years time.

b) For the second part of the question, we can plug in the given values and solve for P(20):

P₀ = 50

r = 0.62

t = 20

P(20) = 50(1 + 0.62)²⁰ ≈ 225,000

Therefore, there are expected to be about 225,000 millipedes in the area of rainforest in 20 years time. Rounded to the nearest 100, this is 225,100.

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Water turning to blood will be the first plague that will be present.

Both humans as well as mammals can contract the plague. The protozoan parasite is the bacterium that causes it. The most common ways for humans to contract the plague are through handling a plague-infected animal or by getting bitten by a rodent bug that is carrying the disease.

The 10 plagues in the correct order are:

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(a) The standard form of the equation of the given circle is (x + a/2)² + y² = (a/2)².

(b) The center point and radius of the circle is (-a/2, 0) and a/2, respectively.

(c) The center point and radius of the circle (-9/2, 0) and 9/2, respectively.

a) The equation for these circles in standard form is (x + a/2)² + y² = (a/2)². This is derived from the given equation by completing the square for the x term.

b) The center point of these circles is (-a/2, 0) and the radius is a/2. This can be seen from the standard form of the equation, where the center point is (h, k) and the radius is r in the equation (x - h)² + (y - k)² = r².

c) For the equation x² + y² + 9x = 0, the center point is (-9/2, 0) and the radius is 9/2. This is found by completing the square for the x term and comparing it to the standard form of the equation for a circle.

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The eigen values of the matrix A are 2, -2, and 7, and the corresponding eigen vectors are [1,1,2], [1,-2,0], and [2,1,1].

To find the eigen values and eigen vectors of the matrix A=([2,2,0],[2,1,1],[-7,2,-3]), we first need to find the characteristic equation of the matrix. This is done by finding the determinant of (A-λI), where λ is the eigenvalue and I is the identity matrix.

The characteristic equation is:
|A-λI| = |[2-λ,2,0],[2,1-λ,1],[-7,2,-3-λ]| = 0

Expanding the determinant, we get:
(2-λ)((1-λ)(-3-λ)-2) - 2(2(-3-λ)+7) + 0 = 0

Simplifying the equation, we get:
-λ³ + 6λ² - 5λ - 14 = 0

The eigen values are the roots of this equation. We can use the rational root theorem to find the possible rational roots of the equation, which are ±1, ±2, ±7, and ±14. By testing these values, we find that the eigen values are λ=2, λ=-2, and λ=7.

Now, we can find the eigen vectors by plugging the eigen values back into the equation (A-λI)v=0, where v is the eigen vector.

For λ=2, we get:
([2-2,2,0],[2,1-2,1],[-7,2,-3-2])v = 0
([0,2,0],[2,-1,1],[-7,2,-5])v = 0

The eigen vector for λ=2 is v = [1,1,2].

For λ=-2, we get:
([2+2,2,0],[2,1+2,1],[-7,2,-3+2])v = 0
([4,2,0],[2,3,1],[-7,2,-1])v = 0

The eigen vector for λ=-2 is v = [1,-2,0].

For λ=7, we get:
([2-7,2,0],[2,1-7,1],[-7,2,-3-7])v = 0
([-5,2,0],[2,-6,1],[-7,2,-10])v = 0

The eigen vector for λ=7 is v = [2,1,1].

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The constant of proportionality for the Amador family is obtained as k = 7.50.

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

If the cost t varies directly with the number of thousand cubic feet of natural gas g used, we can write -

t = kg

where k is the constant of proportionality, which represents the cost per thousand cubic feet of natural gas.

Since the Amador family pays $7.50 per thousand cubic feet of natural gas, we have -

k = 7.50

Therefore, the equation relating the total cost t to the number of thousand cubic feet of natural gas g used is -

t = 7.50g

This means that for every thousand cubic feet of natural gas used, the cost is $7.50.

If the Amador family uses 10,000 cubic feet of natural gas, the total cost would be -

t = 7.50(10) = $75

If they use 20,000 cubic feet of natural gas, the total cost would be -

t = 7.50(20) = $150

Therefore, the COP value is k = 7.50.

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Answer:

c. 3

Step-by-step explanation:

The value of x is 3  and the sides of given rectangle are 3,3,9,9.

What is Area of rectangle ?

area of rectangle can be defined as product of length and breadth.

From the given figure ,

it is given that ,

perimeter of rectangle = 24 cm

and the sides are ,

x,x,x+6,x+6

so we know that perimeter of rectangle = 2 (l+b)

that is,

24 = x+x+x+6+x+6

24 = 4x + 12

4x = 12

x = 3

Therefore, The value of x is 3  and the sides of given rectangle are 3,3,9,9.

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Answer:

the average payout should be $157,100

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