You borrow $36000 at 14% for 2 year. How much total do you have to pay back?

Enter cost and tip percent to get a tip amount and total dinner amount. ... how many people? ... Calculate a tip or gratuity and get the total amount to pay. ... If you are splitting the cost at a restaurant among several people you can divide by the ... To calculate a gratuity or tip on any calculator it is a simple multiplication.

Answer:

Step-by-step explanation:

The main answer is that the infinite number of types of matter arises from the unique combinations of elements and their arrangements in terms of composition and geometry.

While the number of elements is limited, their combinations and arrangements allow for an infinite number of types of matter. Elements can combine in different ratios and configurations, forming various compounds and structures with distinct properties.

Additionally, the arrangement of atoms within a molecule or the spatial arrangement of molecules within a material can create different types of matter. These factors, along with the possibility of isotopes and different states of matter, contribute to the vast diversity and infinite types of matter despite the limited number of elements.

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When using the Present Online option in PowerPoint, there are several ways to share the presentation: share the link, open using web browser, allow on web page.

The best ways for Carlos to share the presentation using this option are: share a link, email the presentation, and embed the presentation. The correct options are:1. Share a link: When Carlos chooses to share the presentation online, he has the option to share a link.

By choosing this option, he can send the link to his staff via email or message and they can open the presentation on their devices using a web browser.2. Email the presentation: Carlos can also choose to email the presentation to his staff directly from PowerPoint.

This will allow them to download and view the presentation on their own computers.3. Embed the presentation: If Carlos has a website or blog, he can embed the presentation on a webpage for his staff to view. This will allow them to view the presentation without having to download it separately.

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The value of x  in this triangle is \(67.1^{o}\)

The angle can be calculated as follows:

The first you should calculate the long of the side in front of the angle

as we know \(c^{2}= a^{2}+ b ^{2}\)

so  \(a^{2}= c^{2}- b ^{2}\)

     \(a =\sqrt{ 72^{2}- 28 ^{2}}\) = 66.3

then we can calculate the angle of the triangle by calculate the sin of x

sin x = \(\frac{66.3}{72}\)

sin x = 0.92

x =\(\sqrt{0.921}\) = \(67.1^{o}\)

hence, The value of x  in this triangle is \(67.1^{o}\)

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B. A direct variation function with a large value for k

This is most likely to have the smallest value for y if x is large.

What is meant by value?

The term "value" refers to the worth, usefulness, or significance of something, often expressed in terms of its financial or quantitative value. It can also refer to the qualities or characteristics that make something desirable or valuable.

What is meant by function?

a function is a rule that assigns a unique output or value to each input or argument in a given set. It describes the relationship between two sets and is often represented by an equation or graph.

According to the given question:

For a direct variation function y=kx, if x is large, the value of y will also be large, because k is positive. However, if we increase the value of k, the rate of increase of y with respect to x will also increase. Therefore, a direct variation function with a large value of k will increase more rapidly than a direct variation function with a small value of k. Thus, a direct variation function with a large value for k is most likely to have the smallest value for y if x is large.

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Therefore, Subscript indices must be real positive integers or logicals in MATLAB. This error message occurs when a user tries to access a non-existent element of an array using an index that is not a real positive integer or a logical value.

Subscript indices must be real positive integers or logicals is a MATLAB error message that occurs when a user tries to access a non-existent element of an array using an index that is not a real positive integer or a logical value. Subscripts must always be a positive integer, and not a floating-point number, character, or string.When the user tries to access an element in an array using an index that is not a real positive integer or logical value, the MATLAB interpreter throws this error message. It means that the user has tried to access an element in the array using a negative index or a non-numeric index, which is not permitted. This error message occurs when a user tries to access an array element that does not exist or is out of range. The user must ensure that the index is a real positive integer or a logical value. Logical values can be used as indices to select elements from an array. If the user tries to use a floating-point number or a string as an index, MATLAB will return an error message. In conclusion, subscript indices must be real positive integers or logicals.

Therefore, Subscript indices must be real positive integers or logicals in MATLAB. This error message occurs when a user tries to access a non-existent element of an array using an index that is not a real positive integer or a logical value.

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Answer:

Step-by-step explanation:

\((2)^2=(x+1)^2+(x-1)^2\\\)

By solving this equation we can get:

\(x=1 \\x=-1 (Impossible)\)

∴

The value of the x will be equal to 1.

The section of the zoo is a right triangle. The new path is in front of the right angle, therefore it is the hypotenuse. To find the length of the hypotenuse we use the Pythagorean theorem:

H² = P² + B²

Given that the hypotenuse is of length 2 and legs of length x+1 and x-1. The value of x will be calculated as:-

H² = P² + B²

2² = ( x + 1 )² + ( x - 1 )²

4 = ( x² + 2x + 1 ) + ( x² - 2x + 1 )

4 = 2x² + 0 + 2

4 - 2 = 2x²

x = √1 = ±1

x = 1  and x = -1 ignore negative value.

Therefore, the value of the x will be equal to 1.

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Step-by-step explanation:

The GCF of 28 and 80 is 4.

Distribute 4 for 28 and 80, then solve:

\(4(7) + 4(20) = 28 + 80\)

\(4(7 + 20) = 28 + 80\)

\(4(27) = 28 + 80\)

\(108 = 80 + 28\)

Total degree of freedom should be known to determine the critical values for an independent sample t test.

The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the number of items in the data sample.

An independent t-test must be performed, and the following is required: a single categorical variable with two levels and groups that is independent. a single ongoing dependent variable.

For instance, the number of degrees of freedom to be employed in computations would be n - 1 if the sample size on a chi-square test was 'n'. to figure out the degrees of freedom for an N=9 sample size. 9 less 1 equals 8 (df=9-1=8).

Hence we get the required answer.

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The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.

The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.

For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:

Summing up these values gives us:

1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5

Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.

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Answer:

height = 5 m

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = Ah ( A is area of base and h the height )

Here V = 120 and A = 24 , then

24h = 120 ( divide both sides by 24 )

h = 5

The height of the crate is 5 m

Answer:

calculate the probability that the marbles are the same color, then subtract this probability from 1 to find the probability they are different colors. P(2 of the same) = P(2 green) + P(2 yellow) + P(2 red) = 1/26 + 5/26 + 2/26 = 8/26 = 4/13. P(2 different) = 1 - P(2 of the same) = 1 - 4/13 = 9/13.

Step-by-step explanation:

Answer:

Step-by-step explanation: if 5/2:2/5 then 4/5 of a pint= 10/2 and you now only need 1/5 of a pint so you have to divid 5/2 by 2. that will give you 1.25 and 1.25 as a fraction is 5/4. now you need to change the fraction 10/2 so that you can add them. Equation for that is 10/2 times 2/2 that gives you 20/4 and 20/4+ 5/4=25/4 or 6 1/4(six and one fourth) of a cup

To indicate that one value is greater than, less than, or equal to another, an inequality in a word problem is written using mathematical symbols like, >, or.

Determine the values that the inequality will compare before using the correct mathematical symbol to express the relationship between them in a word problem. Once the values have been determined, represent the relationship between them using the proper mathematical symbol. For instance, the inequality would be phrased as "x > 5" if the problem stated that "x is greater than 5". Other possible symbols for inequalities are (less than), (less than or equal to), and (more than) (greater than or equal to). It is crucial to always use the appropriate mathematical symbols when creating an inequality since they are needed to indicate the direction of the comparison. Moreover, make sure to incorporate all essential components, including the values being compared, the mathematical symbol, and the equals sign, if required. These procedures can be used to effectively write an inequality in a word problem.

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Answer:

1:4

Step-by-step explanation:

Let it be:

then

----------

Amount of acid:

So the ratio of 30% solution to the 5% solution is 1:4

Answer:

  1 : 4

Step-by-step explanation:

For a problem of this nature, a simple diagram makes the solution trivially easy. In the attached, the constituent concentrations are listed on the left, the solution concentration is in the middle, and the numbers on the right are the differences along the diagonals. These are the ratios of the respective solutions on the left.

That is, the ratio of 30% solution to 5% solution is 5 : 20 or 1 : 4.

Answer:

0,5

Step-by-step explanation:

slope: 0

y-intercept:(0,5)

Answer:

1.111 repeating

Step-by-step explanation:

Answer:

A relation is defined as the collection of inputs and outputs which are related to each other in some way. In case, if each input in relation has accurately one output, then the relation is called a function.

Based on the given relation, we found that it is not a function because it has repeating x-values. Remember, for a relation to be a function, each input (x-value) must correspond to exactly one output (y-value).

To determine if a relation is a function, you need to check if each input (x-value) corresponds to exactly one output (y-value). You can use the following steps:

1. Identify the given relation as a set of ordered pairs, where each ordered pair represents an input-output pair.

2. Check if there are any repeating x-values in the relation. If there are no repeating x-values, move to the next step. If there are repeating x-values, the relation is not a function.

3. For each unique x-value, check if there is only one corresponding y-value. If there is exactly one y-value for each x-value, then the relation is a function. If there is more than one y-value for any x-value, then the relation is not a function.

Let's consider an example relation: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 1: Identify the relation as a set of ordered pairs: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 2: Check for repeating x-values. In our example, we have a repeating x-value of 2. Therefore, the relation is not a function.

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John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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Answer:

18

Step-by-step explanation:

Answer:

\(\sqrt{16}\sqrt{11}\)

Step-by-step explanation:

\(\sqrt{176}\implies \sqrt{16\cdot 11}\implies \sqrt{4^2\cdot 11}\implies 4\sqrt{11}\)

The purpose of a variable is to hold and represent a value Option C.

The purpose of a variable in programming or mathematics is to hold and represent a value that can be assigned, changed, and used in various operations or calculations. Variables are fundamental components of programming languages and mathematical equations, enabling flexibility and dynamic behavior in computational tasks.

Option (c) "to hold a value" is the most accurate answer, as variables are used to store data or information in memory locations. This value can be of different types, such as integers, floating-point numbers, characters, or even more complex data structures like arrays or objects.

Variables allow programmers to work with and manipulate data efficiently. By assigning values to variables, we can reference and modify them throughout the program, making it easier to manage and organize information.

Variables also play a crucial role in performing calculations, as mentioned in option (b). We can use variables in mathematical expressions and algorithms to perform arithmetic operations, comparisons, and other computations. By storing values in variables, we can reuse them in multiple calculations and update them as needed.

While option (a) "to assign values" is a specific use case of variables, it is not the sole purpose. Variables not only store values but also facilitate data manipulation, control flow, and the implementation of algorithms and logic.

Option (d) "to hold a constant value" is incorrect because variables, by definition, can hold varying values. Constants, on the other hand, are fixed values that do not change during the execution of a program. Option C is correct.

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Answer:Slope=-240.000/2.000=-120.000

Step-by-step explanation:Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    120*x+y-(1200)=0

STEP

1

:

Equation of a Straight Line

1.1     Solve   120x+y-1200  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

According to the information, the null hypothesis is that 70% or fewer of the instructor's students have improved their driving distance by at least 20 yards. The alternative hypothesis is that more than 70% of the instructor's students have improved their driving distance by at least 20 yards. Based on the data provided, we can evaluate whether the instructor's claim is valid.

Accordign to the information we have to consider that the null hypothesis states that 70% or fewer of the instructor's students have improved their driving distance by at least 20 yards, while the alternative hypothesis suggests that more than 70% have seen such improvement.

According to the above, the claim's validity is assessed by comparing the observed data with the expected outcome under the null hypothesis. In this case, 138 out of 180 viewers reported an improvement. Statistical tests can be conducted to determine if this observed proportion significantly differs from the hypothesized proportion of 70% or fewer.

To conclude, if the test results reject the null hypothesis, there is evidence to support the claim; otherwise, the claim cannot be validated.

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No, the instructor's claim is NOT valid. See   the explanation below.

To   test the hypothesis, we can use a z- test.

z = (p - p₀) / σ

Where

σ = √(p₀(1 - p₀) / n)

where:

Since p  =138/180

= 0.7667.

p₀=0.7. The sample size is n=180.

z = (0.7667 - 0.7) / √(0.7(1 - 0.7) / 180)

= 1.95277604597

≈ 1.92

Since the p-value for a z-score of 1.92 is 0.054, we can reject the null hypothesis.

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It would take approximately 6.75 hours to fly from Los Angeles to New York at a speed of 800 km/h.

To solve this problem, we can use the concept of inverse variation. Inverse variation means that as one variable increases, the other variable decreases proportionally.

Let's denote the time it takes to fly from Los Angeles to New York as "t" (in hours) and the speed of the plane as "s" (in km/h).

According to the problem, the time and speed vary inversely. This can be expressed mathematically as:

t = k/s

where "k" is a constant of variation.

To find the value of "k," we can use the given information that the trip takes 6 hours at 900 km/h:

6 = k/900

To solve for "k," we can multiply both sides of the equation by 900:

6 * 900 = k

k = 5400

Now that we have the value of "k," we can use it to find the time it would take at 800 km/h:

t = 5400/800

t ≈ 6.75 hours

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Answer: (2,7)

Midpoint formula = ( \(\frac{x1,x2}{2}\),\(\frac{y1,y2}{2}\) )

1 + 3 / 2 = 2

5 + 9 / 2 = 7

The two quantities needed to determine the total amount of money Monte paid his employees this month are:

A. the hourly salary of each employee

C. the number of hours each employee worked this month.

With four employees at the Monte Bakery, who earn a different hourly wages, to work out the total salary for the month, Monte needs to multiply the hourly wage of each employee by the total number of hours each worked.

Thus, in this mathematical operation, we first use multiplication and then add each individual employee's total salary to sum the total salary for the month.

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Answer:

6x⁴ + 6x³ + 2x² + 4

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(6x³ - x⁴ + 7) + (7x⁴ - 3 + 2x²)

Step 2: Simplify