Calculate the compound interest on investing $600 for 3 years at 7% per annum.​

Answer:

  x = -1

Step-by-step explanation:

You want the solution to the equation -4(3x+2) = 4.

First of all, we can divide by -4.

  3x +2 = -1

Subtracting 2 gives ...

  3x = -3

Finally, dividing by 3, we have the solution:

  x = -1

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3y + 2x = 44 is the equation of the line through (10, 8) and (4, 12).

A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.

Given, two coordinates of a line [tex]\left(10,8\right) and \left(4,12\right)[/tex]

The slope of the line formula is:

[tex]m = \frac{y₂ - y₁}{ x₂ - x₁}[/tex]

Let's substitute our numbers.

[tex]m = -\frac{8 -12}{4-10}[/tex]  =  -4/6

The GCF of these two numbers is 2

So, our slope  =  -2/3

The general equation of a line is y = mx +c

Therefore the equation of the line is y = -2/3x + c

Since, this line passes through ( 10, 8 )

Hence, it must satisfy these coordinates

8 = -2/3 * 10 + c

44/3 = c

Thus the equation of the line is y = -2/3x +44/3

the equation of the line is 3y + 2x = 44.

Therefore, The equation of the line that passes through (10, 8) and (4, 12) is 3y + 2x = 44.

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Answer:

$0.40 per hour

(This is 40cents per hour)

Step-by-step explanation:

The "hourly wage" is a rate, a ratio, a comparing of two numbers. We are comparing dollars and hours. So we have information given in the problem about the $ and hours. Compare these two numbers and then simplify. Because we need the hours, on the bottom, to be 1 hour. "Per hour" means per ONE hour.

dollars/hours

= $3.20/ 8hours

Divide.

= $0.40/1 hour

This is the hourly wage, $0.40 (or 40cents) per hour.

The maximum number of full pizzas she can make if Avery had 7 pounds of cheese available, and she needs 3/5 pounds of cheese to make each pizza, is 11.

When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. For instance, 4 2 = 2. As a multiplication fact, this can be expressed as 2 + 2 = 4.

Given:

Avery had 7 pounds of cheese available, and she needs 3/5 pound of cheese to make each pizza,

Calculate the number of pizzas she can make as shown below,

The number of pizzas = total cheese/cheese required to make one pizza

The number of pizzas = 7 / 3/5

The number of pizzas = 7 × 5 / 3

The number of pizzas = 35 / 3

Thus, the total number of pizzas she can make is 11 and 2 / 3.

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We can simplify the given expression -6x - 12 + 8y + 16x to get:

10x - 12 + 8y

Here we want to simplify the expression below:

-6x - 12 + 8y + 16x

To simplify this we need to try to find common factors, the only common factor that we can see on the equation is "x", then we can rewrite the expression:

-6x - 12 + 8y + 16x

-6x + 16x - 12 + 8y

Now we can rewrite the first two terms as:

(-6 + 16)*x - 12 + 8y

10x - 12 + 8y

That is the simplified expression.

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On solving the given system of equations 3x + 4y = -25 and 2x - 3y = 6 by using the elimination method , we get that the value of x is -3  and value of y is -4 .

The System of equations to be solved by elimination method is given as :

3x + 4y = -25 ....equation(1) and

2x - 3y = 6 ;.....equation(2)

By the method of elimination ;

we multiply the equation(1)  by 2 ;

we get ⇒ 6x+8y = -50    ....equation(3) ;

we multiply the equation(2)  by 3 ;

we get ⇒ 6x-9y = 18    ....equation(3) ;

Subtracting equation(4) from equation(3) ,

we get ;

⇒ 17y = -68 ;

⇒ y = -4 ,

Substituting y as -4 in the equation "2x - 3y = 6"  , we get x = -3 .

The given question is incomplete , the complete question is

How do you solve the system of equations 3x + 4y = -25 and 2x - 3y = 6 , by using the elimination method ?

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The difference between r and p. r represents the p represents the

Sample correlation coefficient.

Now, According to the question:

What is sample correlation coefficient?

The sample correlation coefficient (r) is a measure of the closeness of association of the points in a scatter plot to a linear regression line based on those points, as in the example above for accumulated saving over time

The sample correlation coefficient uses the sample covariance between variables and their sample standard deviations. The population correlation coefficient uses the population covariance between variables and their population standard deviations.

Hence, The correct answer is : Sample correlation coefficient.

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Answer:

Step-by-step explanation:

This should help

The total number of ways to seat the people in a row such that John, Wilma, and Paul refuse to sit in three consecutive seats is 4320.

There are a few different ways to approach this problem, but one possible method is to use the principle of inclusion-exclusion.

We start by counting the total number of ways to seat the people in a row of chairs without any restrictions. Since there are n chairs, there are n! ways to seat the people in a row.

Next, we count the number of ways to seat the people in a row such that John, Wilma, and Paul are seated in three consecutive seats. Since there are n-2 chairs between the three chairs that John, Wilma, and Paul are not allowed to sit in, there are (n-2)! ways to seat the people in a row such that John, Wilma, and Paul are seated in three consecutive seats.

Finally, we use the principle of inclusion-exclusion to find the total number of ways to seat the people in a row such that John, Wilma, and Paul are not seated in three consecutive seats.

The total number of ways to seat the people in a row such that John, Wilma, and Paul are not seated in three consecutive seats is n! - (n-2)!

For example, if there are 7 chairs, the total number of ways to seat the people in a row such that John, Wilma, and Paul are not seated in three consecutive seats is 7! - (7-2)! = 5040 - 720 = 4320

So, the total number of ways to seat the people in a row such that John, Wilma, and Paul refuse to sit in three consecutive seats is 4320.

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The null hypothesis is a statement of no change, no effect, or no difference.

The null hypothesis is a statement or assumption that there is no relationship between two variables or no difference between two groups, and any observed differences are likely due to chance. It is often denoted as H0. In scientific research, the null hypothesis is usually tested against an alternative hypothesis, which proposes that there is a relationship or difference.

For example, in a medical study, the null hypothesis might be that a new treatment has no effect on a certain disease, while the alternative hypothesis is that the treatment does have an effect. The researcher would then collect data and use statistical methods to test the null hypothesis against the alternative hypothesis.

It's important to notice that a failure to reject the null hypothesis doesn't mean the null hypothesis is true, it only means that there isn't enough evidence to reject it.

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Answer:

not sure

Step-by-step explanation:

not sure sqauredxfree bagdes

=answer

The scale factor, given the pre - image and the image, can be found to be 2.

The scale factor is the measure that either increases or decreases the size of a shape. When the scale factor is an integer then the size of the shape increases.

When the scale factor is a fraction with a larger denominator than numerator, the shape decreases.

To find the scale factor, look at the relationship between a point on the pre - image and the corresponding point on the image. For the points, ( -5, 3 ) and ( -10, 6 ) the scale factor would be :

= -10 / -5                                    or,                = 6 / 3

= 2                                                                  = 2

The scale factor is therefore 2.

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Answer: 12.5

Step-by-step explanation:

Let's first find the perimeter.

P = 2l + 2w

Since Mr.Wilson's perimeter equals Ms.Krietz's, we can use the same number for both.

P = 2(30)+2(20) = 100

Since the length of Ms.Krietz's homeroom is 1.25x the length of Mr.Wilson's, we can substitute that

l = 1.25(30) = 37.5

100 = 2(37.5) + 2w

100 = 75 + 2w

25 = 2w

w = 12.5

{(-4, 3), (5, -1), (0, 2), (x, y)} set of ordered pairs (1, -3) could represent a linear function.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

For option A:

m=1+2/3-1=3/2

m=3/2

m=7-4/8-5=3/3=1

Slopes are not same

For option B:

m=3-6/-3+6=-3/3=-1

m=0-3/0+3=-1

m=-4/3

Slopes are same

Slopes are same at every point, so this set of ordered pairs could represent a  linear function

Hence, the correct option is B.

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Answer:50400cm2

Step-by-step explanation:lxWxH

Answer:

The length of the prism can be found by using the formula for volume of a rectangular prism, which is: V = lwh. Rearranging the formula to solve for l, the length, we get l = V / (wh). In this case, V is 840, w is 10, and h is 6. Plugging these values into the equation, we get l = 840 / (10 * 6) = 14 inches. Therefore, the length of the rectangular prism is 14 inches.

Step-by-step explanation:

The length of the prism can be found by using the formula for volume of a rectangular prism, which is: V = lwh. Rearranging the formula to solve for l, the length, we get l = V / (wh). In this case, V is 840, w is 10, and h is 6. Plugging these values into the equation, we get l = 840 / (10 * 6) = 14 inches. Therefore, the length of the rectangular prism is 14 inches.

Answer:12+6=3=1.5

Step-by-step explanation:

The maximum possible outcome for the given situation is 36.

The number of favorable events to all the events in an experiment is the ratio that makes up the probability formula. Theoretical probability, Experimental probability, and Axiomatic probability are the three categories into which probability can be divided.

Given, Ruby is designing a new board game and is trying to figure out all the possible outcomes. she flips a coin, rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, and spins a spinner with three equal-sized sections labeled Walk, Run, Stop.

Since there are three things happening simultaneously and favorable moments will be chosen by all three.

Thus Maximum possible outcome = 2 * 6 * 3 = 36

Therefore, For the given situation, 36 outcomes are available in total.

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Assuming no denominator equals zero, b^4/a expression is equivalent to the given expression a^3b^5/ a^4b

Definition of Expression in Math? An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

The applicable rules of exponents are ...

 (a^b)/(a^c) = a^(b-c)

 a^-b = 1/a^b

The expression can be rewritten as ...

a^3b^5/ a^4b

The expression can be rewritten as ...

b^4/a

complete question

Assuming no denominator equals zero, which expression is equivalent to the given expression?.

a^3b^5/ a^4b

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Answer:

Step-by-step explanation:

i think 1

The area of the given figure is 51.63 m².

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

In the given combination figure, there are three geometrical shapes rectangle, triangle and semicircle.

Now, in triangle base =3 m and height =5 m

So, area of a triangle = 1/2 ×Base×Height

= 1/2 ×3×5

= 7.5 m²

In rectangle length= 6 m and width =5 m

Area of rectangle = Length×Width

= 6×5

= 30 m²

In semicircle, radius =6/2 =3 m

Area of a semicircle = πr²/2

= 3.14×3×3/2

= 14.13 m²

Total area = 7.5+30+14.13

= 51.63 m²

Therefore, the area is 51.63 m².

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Answer:

Step-by-step explanation:

A spot height shows exact heights by a black dot with a number next to it. The number is the height above sea level in metres. Trig points or Triangulation Pillars are another way of spotting the top of a mountain on a map

On solving the provided question, we can say that - the function value will be [tex]g(x) = -3 + 12x + 15[/tex] and

The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.

Here,

[tex]y =a(x-x1)(x-x2),[/tex] y equals a(x-5)(x+1)

g(x) = -3(x-5)(x+1)

[tex]g(x) = -3(x-5)(x+1)[/tex]

g(x) = -3 + 12x + 15

y-intercept of g(x) is (0,15)

Therefore , the solution to the given problem of the equation comes out be  y-intercept of g(x) is (0,15).

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Answer:

A' (2, - 7 )

Step-by-step explanation:

under a rotation about the origin of 90°

a point (x, y ) → (y, - x ) , then

A (7, 2 ) → A' (2, - 7 )

To build 60 birdhouses, Seth will need 40 boxes of nails

A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4)

Seth uses 20 nails for a birdhouse. This means that to build 60 birdhouses, Seth will need 60×20 = 1200 nails

In each box there are 30 nails;

This means that 1200 nails will contain 1200/30 boxes = 40 boxes.

Therefore the number of boxes of nails Seth will need to build 60 birdhouses is 40.

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Answer:

Step-by-step explanation: 40$

Answer: 25

Step-by-step explanation:

By using the bubble sort algorithm, a total of 9 passes/scans will be there.

When an array or list of items has to be rearranged, a sorting algorithm is used to compare the elements and sort the elements in the array or list. In each data structure, the new order of the items is determined using the comparison operator.

The simplest sorting method is called Bubble Sort, and it involves periodically exchanging nearby components if they are arranged incorrectly. Since the average and worst-case time complexity of this approach is relatively high, it is not appropriate for huge data sets.

According to the question, we have

Total number of elements we are having, i.e., n = 10

The total number of passes = n-1 = 10 - 1 = 9

(Number of passes required by bubble sort of n elements will be n-1)

therefore, the total number of passes/scans will be 9

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The claim might be considered to be inaccurate because Joseph's actual average quiz grade for math is 85

When given a set of numbers of variables, the average variable can be found by dividing the sum of the variables by the number of variables in the set.

For Joseph therefore, the average of the quiz grades that he has from his math quizzes would be :
= ( 81 + 89 + 80 + 84 + 89 + 85 ) / 6

= 508 / 6

= 84. 6

= 85

This shows that Joseph's claim of an average of 89 in his math quizzes is therefore inaccurate.

Most likely, what Joseph thought he meant was that the mode of his math quizzes was 89 as the mode refers to the variable that appears the most in a set.

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Answer:

540,000

Step-by-step explanation: