HELPPPP- you just got your driver's license. Your parents buy you a car and agree to let you pay them back over a period of 70 months. They charge 3.5% simple interest. Which price represents a car you could purchase if you wanted to keep your monthly payments below $400

Answer:

Hope it helps!

Step-by-step explanation:

Last year there were 74 students in the seventh grade class. This year there are 86 students in the seventh grade class.

Increase = 86 - 74 = 12

Percent Increase = (12/74) x 100 = 16.2%

Answer:1.107 is how much tax she will pay

Step-by-step explanation:you needed to find 6 percent of 18.45.

Answer:

comparing the means of three or more groups

Step-by-step explanation:

Calculation of p-value: area beyond the test statistic in tails of Gaussian distribution; two-tailed test needs both tails, one-tailed test needs only alternative hypothesis tail.

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Answer:

9811

Step-by-step explanation:

Step-by-step explanation:

The solution is detailed...

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Answer:

Step-by-step explanation:

4 x 3 + 3 x 5 - 13: 7

12+15-62748517

=-62748490

A passenger can travel approximately 6.875 miles for $20.

An input and an output are connected by a function. It functions similarly to a machine with an input and an output. Additionally, the input and output are somehow connected. The traditional format for writing a function is f(x) "f(x) =... "

We want to find the distance (in miles) that a passenger can travel for $20. Let's call this distance d.

Using the given function, we can set up an equation:

20 = 2.56d + 2.40

Solving for d:

2.56d = 20 - 2.40

2.56d = 17.60

d = 6.875

Therefore, a passenger can travel approximately 6.875 miles for $20.

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Answer:

SR = 17.56

Step-by-step explanation:

Formula = PR * RT = SR * RQ

60 * (4x - 26) = 38 * (2x - 1)

Solve for x

240x - 1560 = 76x - 38

164x = 1522

x = 9.28

Solve for SR

2x - 1

2(9.28) - 1

SR = 17.56

The value of the variable 'x' is 29. Then the length of the side SR will be 57 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔPQR is similar to the triangle ΔTSR. Then the ratio of the corresponding side will be constant.

SR / RQ = RT / PR

(2x - 1) / 38 = (4x - 26) / 60

(2x - 1) / 19 = (2x - 13) / 15

19(2x - 13) = 15(2x - 1)

Simplify the equation further, then we have

38x - 247 = 30x - 15

38x - 30x = 247 - 15

8x = 232

x = 232 / 8

x = 29

Then the length of the side SR will be given as,

SR = 2(29) - 1

SR = 58 - 1

SR = 57

The value of the variable 'x' is 29. Then the length of the side SR will be 57 units.

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To determine cos(theta) when (-8, -3) is a point on the terminal side of the angle, we can use the coordinates of the point to find the values of the adjacent side and the hypotenuse in a right triangle.

Then, we can calculate cos(theta) using the formula cos(theta) = adjacent/hypotenuse.

Given the point (-8, -3), we can form a right triangle with the x-coordinate (-8) as the adjacent side and the distance from the origin to the point as the hypotenuse. Using the Pythagorean theorem, we can find the length of the opposite side:

opposite = sqrt(hypotenuse^2 - adjacent^2)

opposite = sqrt((-3)^2 - (-8)^2)

opposite = sqrt(9 - 64)

opposite = sqrt(-55)

Since the opposite side is sqrt(-55), which is not real number, we conclude that the given point does not lie on the unit circle. Therefore, we cannot determine the value of cos(theta) based on this information.

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The number of miles ran by Mick is 29 miles and the number of miles ran by Keith is 47 miles.

Given that, last month, Keith ran 18 more miles than Mick.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of miles ran by Mick be x.

Then, the number of miles ran by Keith will be x+18.

Here, total distance ran by both of them is 76 miles

So, equation is x+x+18=76

⇒ 2x+18=76

⇒ 2x=76-18

⇒ 2x=58

⇒ x=29 miles

So, x+18=47 miles

Therefore, the number of miles ran by Mick is 29 miles and the number of miles ran by Keith is 47 miles.

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The probability of choosing cards either Q or R when a card is drawn from a deck of 8 cards is 0.25.

Given that a card is randomly chosen from 8 cards shown in figure.

We have to calculate the probability of choosing either Q or R when a card is drawn from those 8 cards.

Probability means calculating the likeliness of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative.

Number of cards=8

Number of repeated cards=0

Number of cards showing Q and R =1 each.

Probability of getting Q or R is P(X=Q)+P(X=R)

= 1/8+1/8

=2/8

=1/4

=0.25

Hence the probability of getting either P or Q when a card is drawn from 8 cards is 0.25.

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Answer:

10 stickers on one sheet

Step-by-step explanation:

96 - 16 ÷ 8 =

80 ÷ 8 = 10

have a nice day! :)

Answer:

1/2y > 22

Step-by-step explanation:

This can also be written as

y/2 > 22

and

0.5y >22

Hope this helps!

Answer:

796 feet

Step-by-step explanation:

The yearly breakeven point for Umbridge Purses Unlimited is 20,000 units.

To determine the contribution margin per unit, we subtract the variable cost per unit from the sales price per unit.

In this case, the variable cost per unit is the cost to produce each purse, which is $20, and the sales price per unit is $35.

Therefore, the contribution margin per unit is $35 - $20 = $15.

Next, we divide the total fixed costs of $300,000 by the contribution margin per unit of $15 to find the yearly breakeven point in units.

Breakeven point in units = Total fixed costs / Contribution margin per unit

Breakeven point in units = $300,000 / $15 = 20,000 units.

Therefore, the yearly breakeven point for Umbridge Purses Unlimited is 20,000 units.

This means that the company needs to sell at least 20,000 units in a year to cover all its costs and reach the breakeven point without incurring any losses or making any profits.

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Lisa would need to serve 12 customers to attain the projected income if Daisy calls in sick that day

What is linear function ?

A linear function is a mathematical function that can be represented by a straight line on a graph. It has the form of:

y = mx + b

where m is the slope of the line, which determines how steeply the line rises or falls, and b is the y-intercept, which is the point where the line crosses the y-axis.

According to the question:
If Daisy calls in sick, then Lisa will be the only stylist at the salon, and all customers will go to her. Let's use x to represent the number of Lisa's customers. Then the income generated by Lisa's customers can be represented by the equation:

18x = projected income

We can solve for x by dividing both sides of the equation by 18:

x = projected income / 18

Substituting the given projected income of $216, we get:

x = 216 / 18 = 12

Therefore, Lisa would need to serve 12 customers to attain the projected income if Daisy calls in sick that day.

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Answer:

41 degrees

Step-by-step explanation:

the two squares that make up the rhombus are both equilateral so we know that the measure of angle WUX is 56 degrees. subtract 15 from 56 and you get 41 degrees.

Answer: It would take 1 minute and 40 seconds to reach 100 for the number of times you did the activity, jumping jacks.

The question is asking about the duration of time required to reach a certain number of jumping jacks. If the jumping jacks activity is done for a minute and a half, which is equal to 90 seconds, then the amount of jumping jacks done in that time needs to be calculated. If the given amount of jumping jacks is not known, then it can be assumed to be less than 100. If 50 jumping jacks can be done in one minute, then in a minute and a half, 75 jumping jacks can be done. Since this value is between 50 and 100, it can be concluded that it would take 1 minute and 40 seconds to reach 100 jumping jacks.

Equations act as a scale of balance. If you've ever seen a balancing scale, you know that it needs to have an equal amount of weight on both sides in order to be deemed "balanced". The scale will tip to one side if we just add weight to one side, and the two sides will no longer be equally weighted. Equations use the same reasoning. Anything on one side of the equal sign must have the exact same value on the opposite side in order for it to not be considered unequal.

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The x-intercept of the function  is -3

One example of an intercept is the X-intercept, which is when a line crosses the x-axis.

Where a line crosses the y-axis is known as the y-intercept.

One play in numerous football formats is the interception.

Donald Hamilton's 1980 thriller The Mona Intercept

Nixon announced Operation Intercept as a drug-prevention initiative.

Telephone monitoring, often known as third-party eavesdropping on phone and online talks

Android smartphone Samsung Intercept (SPH-M910) Visual Intercept, a Microsoft Windows-based software defect monitoring tool

A measurement of the linearity of an electrical device is the intermodulation intercept point.

A telephone recording known as the intercept message informs the caller that the call cannot be finished.

The Intercept is an online news source run by Jeremy Scahill, Laura Poitras, and Glenn Greenwald.

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Answer:

To find the x-intercept of the function, we need to find the value of x where the function h(x) is equal to zero.

Setting h(x) = 0, we have:

0 = 3∛(x - 5) + 6

Subtracting 6 from both sides, we get:

-6 = 3∛(x - 5)

Dividing both sides by 3, we get:

-2 = ∛(x - 5)

Cubing both sides, we get:

-8 = x - 5

Adding 5 to both sides, we get:

x = -3

Therefore, the x-intercept of the function is -3.

The answer is: -3.

Answer:

The transformation is 5 units left and 4 units down

It is described as the rule:

or

slope is 5/4 and y intercept is -10 from the given equation.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation is y=5/4x - 10

In the given equation the slope is 5/4 and y intercept is -10.

to draw the graph let us find few values

x    0      1            2          3           4

y     -10   -35/4   -30/4    -25/4    -5

Hence, slope is 5/4 and y intercept is -10 from the given equation.

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We are told that there are the names of 12 girls and 14 boys in a hat. we are asked about the probability of drawing the name of a boy. To do that, we need to divide the number of boy's names over the total amount of names in the bag, like this:

Therefore, the probability is 0.538 or 53.8%

The first derivatives for the given functions are:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For  \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.

For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.

For the function\(y = 3x^2 + 5x + 10:\)

Taking the derivative term by term:

\(d/dx (3x^2) = 6x\)

d/dx (5x) = 5

d/dx (10) = 0

Therefore, the first derivative is:

dy/dx = 6x + 5

For the function y = 100200x + 7x:

Taking the derivative term by term:

d/dx (100200x) = 100200

d/dx (7x) = 7

Therefore, the first derivative is:

dy/dx = 100200 + 7 = 100207

For the function \(y = ln(9x^4):\)

Using the chain rule, the derivative of ln(u) is du/dx divided by u:

dy/dx = (1/u) \(\times\) du/dx

Let's differentiate the function using the chain rule:

\(u = 9x^4\)

\(du/dx = d/dx (9x^4) = 36x^3\)

Now, substitute the values back into the derivative formula:

\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)

Therefore, the first derivative is:

dy/dx = 4/x

To summarize:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For y = 100200x + 7x, the first derivative is dy/dx = 100207.

For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

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If the graphs of the linear equations are identical, then there are infinitely many solutions.

If the graphs are not identical, then there are not infinitely many solutions. In this case, there may be either no solutions (lines are parallel but not collinear) or one solution (the lines are not parallel but they intersect).

The graph of the system of equations y = -2x + 3 and 2x + 4y = 8 is a pair of straight lines passing through the points (2/3, 5/3).

y = -2x + 3 …. (1)

2x + 4y = 8 …. (2)

Substitute eqn (1) in (2)

2x + 4 (-2x + 3) - 8 = 0

Using the multiplicative distributive property, we get

2x - 8x + 12 = 8

By rearranging the above eqn, we get

2x - 8x = 8 - 12

-6x = - 4

Dividing both sides by -2, we get

3x = 2

x = 2/3

Put the value of x in eqn (1)

y = -2 (2/3) + 3

y = -4/3 + 3

y = (-4 + 9)/3

y = 5/3

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There is a 75.40% chance that the sample mean X will be more than 0.5 away from the population mean μ.

Let X be the random variable representing the sample mean of a random sample of size 36 selected from a population with mean μ=44 and standard deviation σ=8.

The Central Limit Theorem (CLT) states that, under certain conditions, the distribution of the sample mean X can be approximated by a normal distribution with mean μ and standard deviation σ/√(n), where n is the sample size. Since the sample size is 36, we can use this approximation.

The probability that X is more than 0.5 away from the population mean can be calculated as follows:

P(|X-μ| > 0.5) = P((X-μ)/ (σ/√(n)) > (0.5) / (σ/√(n))) + P((X-μ)/ (σ/√(n)) < (-0.5) / (σ/√(n)))

Using the standard normal distribution table, we can find the corresponding probabilities for each term on the right-hand side of the equation. We have:

P(Z > 0.3125) + P(Z < -0.3125)

where Z is a standard normal random variable with mean 0 and standard deviation 1.

Using the standard normal distribution table, we can find that P(Z > 0.3125) = 0.3770 and P(Z < -0.3125) = 0.3770.

Therefore, the approximate probability that X will be more than 0.5 away from the population mean is:

P(|X-μ| > 0.5) = 0.3770 + 0.3770 = 0.7540

In terms of percentage, we can rewrite it as,

P(|X-μ| > 0.5) = 0.7540*100 = 75.40%

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The domain of the function is all positive real numbers, representing the possible diameters of the rope, while the range is all positive real numbers, indicating the potential breaking strengths of the manila rope.

The domain of the function is all positive real numbers since the diameter of a rope cannot be negative or zero. However, it is important to note that in practical terms, the diameter should also have a minimum value, typically determined by the manufacturing specifications or practical constraints.

The range of the function represents the possible breaking strengths of the manila rope. Since the function is defined as z = 8900d^2, where d is the diameter, the breaking strength (z) will always be a positive value. As the diameter increases, the breaking strength also increases, and there is no upper limit to the breaking strength. However, it is essential to consider practical limitations, such as the maximum load capacity of the material used or any physical constraints that may prevent the rope from achieving extremely high breaking strengths.

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Solving the system of equations shows that to make these equations true x=1 and y=0.5