Finance Suppose that $4.100 is invested at 4 6% annual interest rate compounded monthly How much money will be in the account in (A) 11 months? (B) 4 years? (A) Amount after 11 months $_______(Round to the nearest cent) (B) Amount after 4 years $_______ (Round to the nearest cent) .

39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

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The area covered by all the sprinkler heads together is approximately 169.64 ft2.

We have given

6 sprinklers are shown on gridlines.

Each sprinkler has a diameter of 6 feet.

The irrigation design for a new backyard is shown with six sprinkler heads and two walkways.

One sprinkler has a diameter of 6 feet.

So the radius is 3.

The area for one sprinkler is given by,

\(A=\pi r^{2}\)

\(A=3.14\times 3^2\\A=28.26\)

So the area covered by one sprinkler is 28.26 feet ^2.

For six sprinkler is given by

\(=6\times 28.26\)

=169.64 ft^2

The answer is B.

The area covered by all the sprinkler heads together is approximately 169.64 ft2.

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Answer:

b

Step-by-step explanation:

Combining the above results, we have shown that the direct image f([a, b]) of a continuous function f : [a, b] → R is a closed and bounded interval or a single number.

To prove that the direct image f([a, b]) of a continuous function f : [a, b] → R is a closed and bounded interval or a single number, we need to show two things:

The direct image f([a, b]) is a closed set.

The direct image f([a, b]) is a bounded set.

Let's prove each of these statements:

The direct image f([a, b]) is a closed set:

To show that f([a, b]) is closed, we need to prove that it contains all its limit points.

Let y be a limit point of f([a, b]). This means that there exists a sequence (yₙ) in f([a, b]) such that yₙ → y as n approaches infinity.

Since (yₙ) is a sequence in f([a, b]), there exists a sequence (xₙ) in [a, b] such that f(xₙ) = yₙ.

Since [a, b] is a closed and bounded interval, the sequence (xₙ) has a subsequence (xₙₖ) that converges to some x ∈ [a, b] (by the Bolzano-Weierstrass theorem).

Since f is continuous, we have f(xₙₖ) → f(x) as k approaches infinity. But f(xₙₖ) = yₙₖ, and since yₙₖ → y, we have f(xₙₖ) → y as k approaches infinity.

Therefore, we have shown that for any limit point y of f([a, b]), there exists a corresponding point x in [a, b] such that f(x) = y. Hence, y is in f([a, b]), and f([a, b]) contains all its limit points. Thus, f([a, b]) is a closed set.

The direct image f([a, b]) is a bounded set:

Since [a, b] is a closed and bounded interval, the continuous function f([a, b]) is also bounded by the Extreme Value Theorem. In other words, there exist M, m ∈ R such that for all x ∈ [a, b], m ≤ f(x) ≤ M.

Therefore, f([a, b]) is a bounded set.

Therefore, Combining the above results, we have shown that the direct image f([a, b]) of a continuous function f : [a, b] → R is a closed and bounded interval or a single number.

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Incomplete question:

Suppose that f : [a, b] → R is a continuous function. Prove that the direct image f ([a, b]) is a closed and bounded interval or a single number.

Answer:230.666667%

Step-by-step explanation: Convert the fraction to a decimal: Divide the numerator by the denominator

Add this decimal number to the whole number part of the mixed number

A mixed number is a whole number plus a fraction. To find the decimal form of a fraction just divide the numerator by the denominator using a calculator or long division. Then add the decimal number to the whole number.

Answer:

d the expression with the fractions three fifths minus one half is equal to the expression with the fractions six tenths minus five tenths is equal to the fraction one tenth

Step-by-step explanation:

Chris requires three fifths liter of paint to complete a poster. He has one half liter of paint. Which equation can be used to find the fraction of a liter of paint Chris still needs to complete the poster?

The fraction of a liter Chris requires to complete his painting is given as:

3/5 liter = 1/2 liter + x

x = 3/5 - 1/2

Lowest Common Denominator = 10

x = 6 - 5/10

x = 1/10

option d is the correct option.( the expression with the fractions three fifths minus one half is equal to the expression with the fractions six tenths minus five tenths is equal to the fraction one tenth)

Yes, { 13 x (25+ 15) } and { (13x25) + (13x25) } are equal.

In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it.

{ 13 x (25+ 15) } = 13 x 40 = 520

{ (13x25) + (13x25) } = 325 + 325 = 650

From the result, we can conclude that both expressions yield the same value, which is 520. This demonstrates the commutative property of multiplication, which states that the order of multiplication does not affect the result.

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INSTANCE.

In my opinion a red mustang is an instance of the car class.

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If area of "square-field" is 40000 ft square, and Mr. Blackburn is putting a fence diagonally in field, then the length of fence be is 282.84 ft.

The area of the square-field is = 40000 ft²,

We equate this with area formula,

We get,

⇒ (side)² = 40000,

⇒ side = 200,

substituting the side-length as 200 ft, in the diagonal formula,

we get,

⇒ Length of diagonal of field is = (side)√2,

⇒ Length of diagonal of field is = (200)√2,

⇒ Length of diagonal of field is ≈ 282.84 ft.

Therefore, the length of the fence of the field is 282.84 ft.

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Answer:

1. The independent variable is a and the dependent variable is m

2. The domain is discrete

Step-by-step explanation:

let us explain the difference between discrete or continuous domains

Discrete domain: It is a set of input values that consists of only certain numbers in an interval.

Continuous domain: It is a set of input values that consists of all numbers in an interval.

In the question

m = 3a, where

m is the amount of money m in dollars

Each customer can buy a maximum of three apps

1.

∵ m is depended on the value of 3a

∴ m is the dependent variable ⇒ (output)

∴ a is the independent variable ⇒ (input)

∴ The independent variable is a and the dependent variable is m

2.

∵ The domain the input values

∴ Each customer can buy a maximum of three apps

→ That means it is a certain numbers

∴ The domain is discrete

Answer:

25

Step-by-step explanation:

If times 4 with 15 to get 60%

Then divide 100% with 4 to get 25 students

The margin of error is A.  0.392 minutes.

The margin of error is a measure of the precision or uncertainty associated with estimating a population parameter based on a sample.

In this case, we are interested in estimating the population mean checkout time based on the sample mean checkout time.

To calculate the margin of error, we use the standard deviation of the sample mean, which is also known as the standard error. The formula for the margin of error is:

Margin of Error = Critical Value * Standard Error

The critical value is determined based on the desired level of confidence. In this case, we want a 95% confidence level, which corresponds to a critical value of 1.96 for a standard normal distribution.

The standard error is calculated by dividing the standard deviation of the population (known in this case) by the square root of the sample size.

In this scenario, the standard deviation of the checkout time is given as 2 minutes, and the sample size is 100.

Therefore, the margin of error is 1.96 * (2 / \(\sqrt(100)\)) = 1.96 * 0.2 = 0.392.

This means that with 95% confidence, the sample mean checkout time of 8.0 minutes is expected to have a margin of error of 0.392 minutes.

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Answer:

"subset"

Step-by-step explanation:

The "set within a set" is called a "subset."

To find a polynomial function with integer coefficients that has the given zeros, we can use the factor theorem and the zero-product property. Therefore, the function is f(x) = (x + 2)(x - 1)(x - 3) = x^3 - 2x^2 - 5x + 6 .

In summary, to find a polynomial function with integer coefficients that has the given zeros, we can use the factor theorem and the zero-product property to obtain the factors of the polynomial, and then multiply them together to get the polynomial function.

For example, suppose we want to find a polynomial function with integer coefficients that has zeros at -2, 1, and 3. We can start by using the factor theorem to obtain the factors of the polynomial:

(x + 2)(x - 1)(x - 3)

We can then multiply these factors together to obtain the polynomial function:

f(x) = (x + 2)(x - 1)(x - 3) = x^3 - 2x^2 - 5x + 6

This is a polynomial function with integer coefficients that has zeros at -2, 1, and 3. Note that we can also check this by using the zero-product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero. We can plug in each of the zeros (-2, 1, and 3) into the polynomial function and verify that the result is zero, which confirms that these are indeed the zeros of the polynomial.

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Answer:

cos 30

Step-by-step explanation:

cos 30 + sin 60 / 1+ sin 30 + cos 60

= root3 / 2 + root3/2 / 1 + 1/2 + 1/2

= root 6/2 by 4/2

= root 6/4

= root 3/2

= cos 30

Answer:

cos 30

Step-by-step explanation:

Answer:

$320

Step-by-step explanation:

First, add up all of the money she expects to spend:

120 + 45 + 65 + 60

= 290

Then, add 30 to this, since she wants to have $30 left:

290 + 30

= 320

So, she should bring $320

The figure that best demonstrates the setup for the box method of finding the area of a triangle is a rectangle divided into two triangles with a diagonal line.

The box method is a visual representation that helps find the area of a triangle by dividing it into two smaller triangles that can be rearranged to form a rectangle. To set up the box method, start with a rectangle and draw a diagonal line from one corner to the opposite corner, dividing the rectangle into two triangles. The base and height of each triangle are labeled, and the total area of the rectangle is equal to the sum of the areas of the two triangles. By using this method, the area of a triangle can be easily calculated by multiplying the base and height and then dividing by two. The box method provides a visual and intuitive approach to understanding the formula for finding the area of a triangle

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Answer:

6 centimeters and 4 centimeters

Step-by-step explanation:

According to the Triangle Inequality, the sum of the lengths of any two sides of a triangle has to be greater than the third side. The answer choices that satisfy the Triangle Inequality is 6 centimeters and 4 centimeters.

Answer:

  y = 1/2x -2

Step-by-step explanation:

You want the equation of a line parallel to y = 1/2x +6 that contains the point (0, -2), written in slope-intercept form.

The slope of the line you want will be the same as the slope of the line you have. That is because parallel lines have the same slope.

The equation you are given is written in slope-intercept form:

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

Comparing this form to the given equation, you see that ...

  m = 1/2 . . . . . the slope of the line you want

The "intercept" in the "slope-intercept" form is the value of y when x=0. The point you are given, (0, -2), tells you that y = -2 when x = 0. So, the "intercept" in your slope-intercept equation is -2.

The equation you want is the equation of a line with slope 1/2 and a y-intercept of -2.

  y = 1/2x -2

The equation of the line that is parallel to line EF and passes through point (0, -2) is y = (1/2)x - 2.To find an equation of a line that is parallel to line EF and passes through point (0, -2), we need to use the fact that parallel lines have the same slope. The slope of line EF is 1/2, so the slope of the parallel line will also be 1/2.

We can start by using the point-slope form of the equation of a line: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Plugging in m = 1/2 and (x1, y1) = (0, -2), we get:

y - (-2) = (1/2)(x - 0)

Simplifying this equation gives:

y + 2 = (1/2)x

To get this equation in slope-intercept form (y = mx + b), we can isolate y:

y = (1/2)x - 2

So the equation of the line that is parallel to line EF and passes through point (0, -2) is y = (1/2)x - 2. Note that this line intersects the y-axis at y = -2, which is the y-intercept.

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Answer:

We can begin by simplifying each equation:

A. 52 = 8n + 4 can be rewritten as 48 = 8n or 6 = n

B. 4(2n + 1) = 52 can be simplified to 8n + 4 = 52 or 8n = 48 or 6 = n

C. 4=52-8n can be rewritten as 8n = 48 or 6 = n

D. 4n = 48 can be simplified to n = 12

Therefore, equations A, B, and C are equivalent, and equation D is not equivalent to the others.

So, the correct answers are A, B, and C.

Answer:

Step-by-step explanation:first you have to multiply then divide then add then subtract and then substitute and then you will get the answer.

6. Solution for |2x-3| = |x| are x = 1,3

7. Solution for 8 + |4v - 7| ≥ 17 is,

          v ≥  4 ,  v ≤ -1/2

8. Number of computer meets in the condition = 6

Average:

                Average of given number is given by sum of all numbers divided by total number of numbers.

6.  |2x-3| = |x|

Case I :

            when x<0

            |2x-3| = |x|

           -(2x-3) = -x

           -2x + 3 = -x

             2x - x = 3

            x = 3 ( Not possible as x<0 )

           No solution in this case.

Case II :

            when   0< x< 3/2

              |2x-3| = |x|

            -(2x -3) = x

            -2x + 3 = x

             2x +x = 3

             3x = 3

              x =1 (Valid solution)

Case III :

             when x>3/2

             |2x-3| = |x|

             2x-3 = x

             2x -x =3

              x = 3 (Valid solution)

Thus solution for |2x-3| = |x| are x = 1,3

7.

          8 + |4v - 7| ≥ 17

               |4v - 7|  ≥ 17 -8

                |4v - 7| ≥ 9

      ⇒   4v - 7 ≥ 9

            4v ≥ 9+7

             v ≥  4

and,

         4v - 7 ≤ - 9

         4v ≤  -2

          v ≤ -1/2

     Thus solution for 8 + |4v - 7| ≥ 17 is,

          v ≥  4 ,  v ≤ -1/2

8.

       We know,

                  Average of quantity =  sum of quantity / Number of quantity

    For the given question,

        Sum of price of all computer =  $ (890+650+ 660+450+        725+750+370+670+650+825)

                                   = $ 6640

  and       Number of computer = 10

Average price of computer = $ 6640/10

                                          = $ 664

      Absolute deviation is  $100

So i can pay price between

                                          ($ 664 - $100) to ($ 664 + $100)

                                         that is $564 to  $764

Number of computer meets in this condition = 6

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(a) The cost of 1 kg of turnips is £71.95, and

(b) The cost of 1 kg of mushrooms is £89.50.

To solve this problem, let's assign variables to the unknowns.

Let the cost of 1 kg of mushrooms be 'm' and the cost of 1 kg of turnips be 't'.

According to the given information:

Equation 1: 2m + 2.5t = 8.55

Equation 2: 3m + 4t = 13.10

We can solve these equations simultaneously to find the values of 'm' and 't'.

To eliminate the decimals, let's multiply both sides of Equation 1 by 10 and Equation 2 by 20:

20m + 25t = 85.50

60m + 80t = 262.00

Now, let's multiply Equation 1 by 12 and subtract Equation 2 multiplied by 5:

240m + 300t - (60m + 80t) = 1026.00 - 1310.00

180m + 220t = -284.00

We have a new equation:

180m + 220t = -284.00 ---(3)

Next, let's multiply Equation 1 by 18 and subtract Equation 2 multiplied by 4:

36m + 45t - (60m + 80t) = 154.35 - 524.00

-24m - 35t = -369.65

We have another new equation:

-24m - 35t = -369.65 ---(4)

Now, we have a system of linear equations with two variables. Let's solve this system by eliminating one variable.

Multiply Equation 3 by 35 and Equation 4 by 220:

6300m + 7700t = -9940.00 ---(5)

-5280m - 7700t = -81323.00 ---(6)

Adding Equations 5 and 6, we eliminate 't':

1020m = -91263.00

m = -91263.00/1020

m = -89.50

Substituting the value of 'm' back into Equation 3:

180(-89.50) + 220t = -284.00

-16110 + 220t = -284.00

220t = -284.00 + 16110

220t = 15826.00

t = 15826.00/220

t = 71.95.

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Answer:

79. [7, 12], [1, 6]

80. The total revenue in the month of May is $11,575

81. The total revenue in the month of November is $4,630

82. Values obtained from the model and actual values are almost the same, so the given model is precise.

Step-by-step explanation:

79.

The domain of a function is the set of x-values that we are allowed to plug into our function.

The graph below represents f(x),

the graph that the domain of the first part of the function is [7,12]. The domain of the second part of the function is [1,6]. The solution is:

\(f(x)=\left \{ {{-1.97x+26.3, 7 \leq x \leq 12} \atop {0.505x^{2} -1.47x+6.3, 1 \leq x \leq 6}} \right. \\\\\)

80.

1 ≤ 5 ≤ 6, so we'll plug the value 5 in the function f(x) = 0.505x² - 1.47x + 6.3

f(x) = y = (0.505)(5)² - 1.47(5) + 6.3

f(x) = y = (0.505)(25) - 7.35 + 6.3

f(x) = y = 12.625 - 1.05

f(x) = y = 11.575

For x=5 which represents 5th month May, we got y=11.575

Therefore, the total revenue in the month of May is 11.575 thousands dollars, ie 11,575 dollars.

81.

7 ≤ 11 ≤ 12, so we'll plug the value 11 in the function f(x) = -1.97x + 26.3

f(x) = − 1.97(11) + 26.3

     = − 21.67 + 26.3

     = 4.630.

For x=11 which represents 11th month November, we got y=4.630 Therefore, the total revenue in the month of November is 4.630 thousands dollars, 4,630 dollars.

82.

Values obtained from the model are y=11.575 (x=5) and y=4.630 (x=11). Actual data values are y=11.5 (x=5) and y=4.4 (x=11)

By comparing these values, we can conclude that the model is precise, because these values are almost the same.

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Answer:

C) g(x) = f(x) + 4

Step-by-step explanation:

A vertical shift is where you shift, slide or translate the whole graph up or down (on a graph) The way this shows up in the equation is just a number tacked on to the end of the equation. A +anumber (like the +4 in the answer) slides the function UP four units. A

-anumber would slide the function DOWN instead.

As for the other answers:

A) the 3multiplied in front is a vertical STRETCH.

D) the 1/2 multiplied in front is a vertical shrink (smash)

B) The -3 in close tight with the x is a horizontal shift(slide, translate) It is a RIGHT shift. A +anumber would be a LEFT shift. Horizontal shift seem kind of backwards. + goes LEFT and - goes RIGHT.

Answer: 12.63 rounded to 13 and 3.28 rounded to 3 the perimeter is 32

Step-by-step explanation: If you need any more help Im

usually available between 9a.m - 3:50 pm

Answer

Part A: C

Part B: B

Part C: 15.91

Step-by-step explanation:

first round the 2 numbers by the tenths. Then round the numbers by ones(whohle number). After that, since ther are four sides we do 12.63 + 3.28 + 12.63 + 3.28 which equals to 15.91.

Answer:

5 * 5 = 25

Step-by-step explanation:

hope this helps you!

The statement is true. Roofs with a span of 40 feet or less and a pitch of ? or greater, as well as roofs with a span of more than 40 feet and a pitch of 1/4 or greater, are considered to be pitched.

In roofing terminology, the pitch refers to the steepness or slope of a roof. A pitched roof has a slope that allows water to drain efficiently. The pitch is typically measured as a ratio of vertical rise to horizontal span.

According to the statement, roofs with a span of 40 feet or less and a pitch of ? (undefined or not specified) or greater are considered to be pitched. This means that as long as the roof has a certain degree of slope or steepness, it is categorized as a pitched roof.

Similarly, roofs with a span of more than 40 feet and a pitch of 1/4 or greater are also considered to be pitched. In this case, the requirement for a minimum pitch of 1/4 (or a steeper slope) applies to roofs with a larger span.

The classification of roofs as pitched or not pitched depends on their span and the minimum pitch requirements specified. Roofs that meet the specified criteria for span and pitch are considered to be pitched roofs.

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Answer:

Step-by-step explanation:

the lengths of sides KN and NM of the kite KN =  15   units and NM =   20 units

What is quadrilateral?

Quadrilaterals are typically four-sided closed shapes, and there are numerous varieties of them. Square, rectangle, rhombus, kite, and trapezoid are the most typical shapes. Four closed sides make up a quadrilateral. Quadrilaterals are the following figures: a four-sided figure. The form features a single set of parallel sides and no right angles.

Given that KLMN is a kite

According to the given figure KN = KL and LM=NM

we have the equation y+10=2y+5

y = 5

So KN = KL =15

On putting x =7 for LM and MN we get

LM = MN = 20

Hence, the lengths of sides KN and NM of the kite KN =  15   units and NM =   20 units

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Answer:

Step-by-step explanation:

You want the values of x and y when corresponding angles at parallel lines are marked (9x -14)° and (7x +18)°, and a vertical angle to those is marked y°.

Corresponding angles where a transversal crosses parallel lines are congruent:

  (9x -14)° = (7x +18)°

  2x = 32 . . . . . . . . . . divide by °, add 14-7x

  x = 16

Then these angles are ...

  (9(16) -14)° = (144 -14)° = 130°

Vertical angles are congruent, so ...

  y° = 130°

  y = 130