Nick is saving money to buy a new skateboard and gear, and he needs to save more than $190.44 in order to have enough. Nick has saved $34.20 so far. If Nick wants to save an equal amount of money each week for 8 weeks, what graph represents the least amount Nick needs to save each week in order to have enough money to buy the skateboard?

Answer:

Inequality Form:  x ≤ 1

Interval Notation:  (−∞, 1]

Step-by-step explanation:

24 ≤ 8 (7 − 4x)

Rewrite so x is on the left side of the inequality.

  8 (7 − 4x) ≥ 24

Divide each term by 8 and simplify.

Divide each term in 8 (7 − 4x) ≥ 24 by 8.

  8 (7 − 4x)/8   ≥      24/8

Cancel the common factor of 8.

  7 − 4x  ≥ 24/ 8

Divide 24 by 8.

  7 − 4x  ≥ 3

Move all terms not containing x to the right side of the inequality.

  −4x  ≥ −4

Divide each term by −4 and simplify.

  x ≤ 1

The result can be shown in multiple forms.

Inequality Form: x ≤ 1

Interval Notation: (−∞, 1]

The area of a square increases by a factor 2n when its perimeter increases by a factor of n

Start by calculating the side length of each square

From the diagram, we have the following side lengths in ascending order

Square 1 = 2

Square 2 = 4

Square 3 = 8

The perimeter

This is calculated as:

P = 4 * Side length

So, we have:

Perimeter Square 1 = 4 * 2 = 8

Perimeter Square 2 = 4 * 4 = 16

Perimeter Square 3 = 4 * 8 = 32

Hence, the perimeters of the squares are 8, 16 and 32

The area

This is calculated as:

A = Side length^2

So, we have:

Area Square 1 = 2^2 = 4

Area Square 2 = 4^2 = 16

Area Square 3 = 8^2 = 64

Hence, the areas of the squares are 4, 16 and 64

Using the computations in (a), the area of a square increases by a factor 2n when its perimeter increases by a factor of n

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The equation for the circle is given by:

Where (h,k) is the center and r represents the radius.

Now, if we look at the given equation:

For h:

h = 2

For k:

k=-4

for r:

r²=36

r=√36

r =6

Hence, the center is (2,-4) and the radius is 6.

The correct answer is option b.

Answer:

0.75

Step-by-step explanation:

plato

The value of x for the equation is,

⇒ x = 3/4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Expression is,

⇒ 1.5 (4)²ˣ = 12

Now, We can solve for x as;

⇒ 1.5 (4)²ˣ = 12

Divide by 1.5;

⇒ (4)²ˣ = 12/1.5

⇒ (4)²ˣ = 8

⇒ (2)⁴ˣ = 2³

By comparing we get;

⇒ 4x = 3

⇒ x = 3/4

Thus, The value of x for the equation is,

⇒ x = 3/4

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EXPLANATION

The expression 9 3/10 first you be converted into a improper fraction as follows:

9 3/10 = 93/10

Applying the same operation for 2 7/10:

2 7/10 = 27/10

Then, subtracting both fractions:

93/10 - 27/10 = 66/10

Simplifying the fraction:

33/5

The answer is 33/5

The regression equation of the formula regarding tuition will be given as y = 34000 - 2300x.

Regression method of writing an equation is used to show relation between two variables. The two variables include an independent variable and a dependent variable. The dependent variable is related to the independent variable and their relation and changes can be shown with the help of regression model. According to the question

the charge for tuition = $32000

Charge deduced from tuition per year = $2300

So we assume the tuition cost as y and the number of years as x.

The regression equation will be

y = 34000 - 2300x

where y is the tuition cost and x is the number of years in school and y is dependent variable and x is independent variable.

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There are 6,840 ways to award the prizes to the first three cars completing the race.

Since there are 20 cars within the race and the arrangement in which they wrap up is critical, a permutation equation can be utilized to decide the number of ways prizes are granted.

 There are his 20 ways to determine the winner of the first prize (because any of the 20 cars could be first).

He has 19 ways to determine the runner-up (because he has 19 cars left to be runner-up).

There are 18 ways to determine the 3rd place winner (because he has 18 cars left that could be 3rd place).

Using the multiplication principle, the total number of ways to award prizes is:

20 x 19 x 18 = 6,840

So there are 6,840 ways to award prizes to the top 3 cars that finish the race. 

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A fundamental identity is an equation that relates the values of the trigonometric functions for a given angle. The equation cot θ = cos θ/sinθ is an example of a fundamental identity.

This identity states that the cotangent of an angle is equal to the cosine of the angle divided by the sine of the angle. The equation sec θ = 1/cosθ is another example of a fundamental identity. This identity states that the secant of an angle is equal to the reciprocal of the cosine of the angle. The equation sec^2 + 1 = tan^2θ is also a fundamental identity. This identity states that the square of the secant of an angle plus one is equal to the square of the tangent of the angle. The equation 1 + cot^2θ = csc^2θ is not a fundamental identity. This equation states that one plus the square of the cotangent of an angle is equal to the square of the cosecant of the angle. This equation is not a fundamental identity because it does not relate the values of the trigonometric functions for a given angle.

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Probability that the distance covered by the runner is  a prime number is 1/5.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.

Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all distinct outcomes that could occur).

Subjective Probability. Definition of Relative Frequency.

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Answer: 3/14

Step-by-step explanation:

Vertical angles are : 1 and 6

supplementary angles : 1 and 2

linear pair : angle 4 and 8

adjacent angles: 21 and 22

A supplementary angle is an angle that, when added to another angle, results in a total angle measure of 180 degrees. In other words, if two angles are supplementary, the sum of their angle measures will be equal to 180 degrees.

For example, if angle A measures 100 degrees, its supplementary angle B would measure 80 degrees, since 100 + 80 = 180. Conversely, if angle B measures 120 degrees, its supplementary angle A would measure 60 degrees, since 120 + 60 = 180.

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Answer:

53

Step-by-step explanation:

9514 1404 393

Answer:

  x = 53

Step-by-step explanation:

The two angles marked are parts of a right triangle. That means their sum is 90°:

  (x -12)° +49° = 90°

  x° +37° = 90° . . . . . . simplify

  x° = 53° . . . . . . . . subtract 37°

  x = 53 . . . . . . . . divide by °

Answer:

In some ways Pi (π) is a really straightforward number – calculating Pi simply involves taking any circle and dividing its circumference by its diameter.

Answer:

there really is no equation to get the number pi, it is a very straight forward number representing 3.14

The perimeter of the pentagon is 49 + sqrt(85) units.

To find the perimeter of a polygon, we need to calculate the sum of the lengths of its sides. Let's calculate the perimeter of the given pentagon with vertices V(3, 0), W(-2, 12), X(-10, -3), Y(-8, -12), and Z(-2, -12).

We start by finding the length of each side.

Side VW: Using the distance formula, we have:

Length of VW = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((-2 - 3)^2 + (12 - 0)^2)

= sqrt((-5)^2 + (12)^2)

= sqrt(25 + 144)

= sqrt(169)

= 13

Side WX:

Length of WX = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((-10 - (-2))^2 + (-3 - 12)^2)

= sqrt((-10 + 2)^2 + (-3 - 12)^2)

= sqrt((-8)^2 + (-15)^2)

= sqrt(64 + 225)

= sqrt(289)

= 17

Side XY:

Length of XY = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((-8 - (-10))^2 + (-12 - (-3))^2)

= sqrt((-8 + 10)^2 + (-12 + 3)^2)

= sqrt((2)^2 + (-9)^2)

= sqrt(4 + 81)

= sqrt(85)

Side YZ:

Length of YZ = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((-2 - (-8))^2 + (-12 - (-12))^2)

= sqrt((-2 + 8)^2 + (-12 + 12)^2)

= sqrt((6)^2 + (0)^2)

= sqrt(36 + 0)

= sqrt(36)

= 6

Side ZV:

Length of ZV = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((3 - (-2))^2 + (0 - 12)^2)

= sqrt((3 + 2)^2 + (-12)^2)

= sqrt((5)^2 + (144))

= sqrt(25 + 144)

= sqrt(169)

= 13

Now, we sum up the lengths of all sides:

Perimeter = VW + WX + XY + YZ + ZV

= 13 + 17 + sqrt(85) + 6 + 13

= 49 + sqrt(85)

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Answer:

y= -3/2x + 5

Step-by-step explanation:

You do the opposite reciprocal of the original equation's slope.

Then you use the new slope from the point (4,-1) on the graph to find the y-intercept. Which is (0,5).

That gets your answer of -3/2x + 5.

Answer:

4.56% ok so just take the numbe an put it a present thats it easy right

Step-by-step explanation:

let me have brailiest pl I need 1 more

Answer:

456%

Step-by-step explanation:

If you want to write a percentage larger than 100%, first look at the number you have.

1.00 = 100%, as the number one is a whole number and equals to 100%

With this knowledge, you can take 4.56, remove the decimal and you have your percentage, which equals 456%.

Hope this helps!

We do not have enough evidence to conclude that the true mean melting point differs from 95 at a significance level of 0.01.

To determine if the true mean melting point differs from 95, we can use a one-sample t-test with a significance level of 0.01.

The null hypothesis is that the true mean melting point is equal to 95, and the alternative hypothesis is that the true mean melting point is different from 95.

We can calculate the t-statistic using the formula:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

where sample size is 16, sample mean is 94.32, hypothesized mean is 95, and sample standard deviation is the same as the population standard deviation of 1.20.

Plugging in these values, we get:

\(t = (94.32 - 95) / (1.20 / \sqrt{(16)} ) = -2.6667\)

Using a t-distribution table with 15 degrees of freedom (n-1=16-1), and a two-tailed test at a significance level of 0.01, the critical t-value is ±2.947.

Since our calculated t-value of -2.6667 falls within the acceptance region (-2.947 < -2.6667 < 2.947), we fail to reject the null hypothesis.

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The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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This is an example of a comparative study or a controlled experiment.

In this study, two groups of individuals are assigned different diets: one group follows a diet high in fruits, vegetables, and dairy foods, while the other group follows a diet with lower amounts of these food groups. The purpose of the study is to compare and analyze the effects of these diets on blood pressure readings.

A comparative study involves observing and comparing two or more groups or conditions to determine the differences or similarities between them. In this case, the two groups represent different dietary conditions, allowing researchers to assess the impact of diet on blood pressure.

By monitoring and comparing the blood pressure readings of the two groups, researchers can analyze any variations or trends that may emerge. The study aims to determine whether the group following the diet high in fruits, vegetables, and dairy foods experiences lower blood pressure compared to the group following the diet with lower amounts of these food groups.

This type of study design helps researchers isolate the effects of the specific dietary factors under investigation. By controlling the variables and assigning participants randomly to the different groups, the study can establish a cause-and-effect relationship between the diet and blood pressure outcomes.

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Answer:

(0,3) ; (2,3) ; (0,0) ; (3.5,0)

Step-by-step explanation:

Firstly, we have to plot all the giving inequalities as constraints

Not to forget, f(x) can be written as y

Kindly find the plot as an attachment

Upon plotting, we have the following vertices;

(0,3) ; (2,3) ; (0,0) ; (3.5,0)

Answer:

10.717

Step-by-step explanation:

15.31×0.7 = 10.717

Answer:

The answer is 5 2/15.

Step-by-step explanation:

Well, you just do 4/5 - 2/3 then add 5 as the whole number.

The total number of students is 853.

The number of students who chose pepperoni pizza is 254 + 143 = 397

Divide this by the total of students multiplied by 100 to get the percentage :

ANSWER :

The closest answer is 47%

Answer:

5+6.50h

Step-by-step explanation:

5 dollars is what he will get every time and he charges 6.50 an hour so you would add that up (5+6.50) and then multiply 6.50 times h (number of hours).

Answer:

Non-Proportional

Hope this helps!

Take care!

Answer:

i think the answer is non- proportional

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

6+6+12+14+7

=45

45÷5

=9

the mean is 9 pounds