An inflationary gap occurs when the as curve and the ad curve intersect ________ of the potential gdp line.

The amount of the initial investment for the investment project by Sheridan Inc. was $33,854.17.

To calculate the initial investment, we can use the formula for the internal rate of return (IRR) factor:

IRR factor = (Net Income + Depreciation Expense) / Initial Investment

Given:

IRR factor = 3.840

Net Income = $48,000

Depreciation Expense = $82,000

Rearranging the formula, we can solve for the Initial Investment:

Initial Investment = (Net Income + Depreciation Expense) / IRR factor

Initial Investment = ($48,000 + $82,000) / 3.840

Initial Investment = $130,000 / 3.840

Initial Investment = $33,854.17

Therefore, the amount of the initial investment for the investment project is $33,854.17.

The amount of the initial investment for the investment project by Sheridan Inc. is calculated to be $33,854.17, based on the given information and the formula for the internal rate of return factor.

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Answer:

(-2,4)

Explanation:

Given the inequality:

The solution set is graphed on the number line below:

A matrix is symmetric if it is equal to its transpose. Thus, a 3x3 matrix A is symmetric if and only if A = A^T, where A^T is the transpose of A.To determine the dimension of Sym(3), we simply count the number of basis vectors, which is 6. Therefore, dim[Sym(3)] = 6

Let's consider the set of all 3x3 symmetric matrices, denoted Sym(3). To find a basis for Sym(3), we can use the fact that a symmetric matrix has only 6 independent entries: the entries on the diagonal, and the entries above the diagonal (or below the diagonal, since the matrix is symmetric).

To construct a basis for Sym(3), we can consider the following matrices:

The matrix E_11, whose (1,1) entry is 1 and all other entries are 0.

The matrix E_12 = E_21, whose (1,2) and (2,1) entries are 1 and all other entries are 0.

The matrix E_13 = E_31, whose (1,3) and (3,1) entries are 1 and all other entries are 0.

The matrix E_22, whose (2,2) entry is 1 and all other entries are 0.

The matrix E_23 = E_32, whose (2,3) and (3,2) entries are 1 and all other entries are 0.

The matrix E_33, whose (3,3) entry is 1 and all other entries are 0.

It can be shown that any symmetric 3x3 matrix can be written as a linear combination of these matrices. Thus, they form a basis for Sym(3).

To determine the dimension of Sym(3), we simply count the number of basis vectors, which is 6. Therefore, dim[Sym(3)] = 6

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Answer:

21 cm^2

Step-by-step explanation:

A = 1/2 x 3 cm (5 cm + 9 cm)

A = 1/2 x 3 cm x 14 cm

A = 21 cm^2

Answer:

  θ ≈ 48.2°

Step-by-step explanation:

The trig function that relates the angle, adjacent side, and hypotenuse is ...

  Cos = Adjacent/Hypotenuse

This tells you ...

  cos(θ) = 6/9

The angle is found from the cosine value using the inverse cosine function.

  θ = arccos(6/9) ≈ 48.2°

Angle A is about 48.2°.

Answer:

12.9

Step-by-step explanation:

Subtract 1.8 from both sides to isolate y:

y + 1.8-1.8 = 14.7-1.8

y = 12.9

hope this helps!

Answer:

?

Step-by-step explanation:

Answer:

24cm^2

Step-by-step explanation:

3cm times 8cm = 24cm^2

Answer:

A=b*h

Step-by-step explanation:

base=5

height=3

5*3=15

15 is the answer

\(-\dfrac 17 - x = \dfrac{11}{14}\\\\\implies x = -\dfrac 17 - \dfrac{11}{14}\\\\\implies x= -\dfrac{13}{14}\\\\\text{Hence,}~x = -\dfrac{13}{14}~ \text{should be subtracted.}\)

Answer:

x =b^2+16/5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

  PEMDAS or BIDMAS

Step-by-step explanation:

You want to know how to remember the order of operations.

Commonly used acronyms for the Order of Operations are ...

  PEMDAS

  BIDMAS

The letters of these stand for ...

  P, B — parentheses or brackets

  E, I — exponents or indices

  M, D — multiplication and division

  A, S — addition and subtraction

Expressions enclosed in grouping symbols (parentheses or brackets) have the highest precedence. They are evaluated first, according to the order of operations.

Exponents (indices) are evaluated next. A sequence of exponent operations, such as a^b^c is evaluated right to left, as a^(b^c), unless parentheses modify the order.

Because exponents and indices have a higher precedence than other arithmetic operations, something like 2^3x is evaluated as (2^3)x, not 2^(3x), and √2p is (√2)p, not √(2p). It is fairly common to see a square root erroneously written as 3^1/2 = (3^1)/2 = 3/2 when 3^(1/2) = √3 is intended.

Multiplication and division have the same precedence. Even though M precedes D (or D precedes M, depending on which acronym you use), they are evaluated in order of appearance left to right. As with exponents, a common error is forgetting to put parentheses around numerators and denominators. For example, 3/2π is different from 3/(2π).

Similarly, addition and subtraction have the same precedence and are evaluated in order of appearance, left to right.

The composition (ring) operator (∘) is used to signify a sequence of functional or transformation operations. For example (f∘g)(x) is the composition of functions f and g. The functions or transformations in a composition are evaluated right to left:

  (f∘g)(x) = f(g(x))

Operations performed on functions can be written in confusing ways. For example, ...

  \(y = f^{-1}(x)\qquad\text{means }x=f(y),\text{ not }y=\dfrac{1}{f(x)}\)

The notation using a positive exponent stands in contrast:

  \(\sin^4(x)\qquad\text{usually means }(\sin(x))^4,\text{ not }\sin(\sin(\sin(\sin(x))))\)

On the other hand, an exponent applied to a function name can mean recursive application of the function, as in sin²( ) = sin(sin(...)). It can also mean an n-th derivative. Context is important in such situations.

Answer: 2:5

Step-by-step explanation:

think of the ":" as the equivalent of to (ex. 2 to 5) 2 frogs to 5 turtles.

The interval of completion times containing the middle 95% of test-takers is approximately [40, 74].

We are given the mean μ = 57 and the standard deviation σ = 8 of the length of time needed to complete a certain test, which is normally distributed.A) We need to find the percent of people that take between 49 and 65 minutes to complete the exam.To find this, we can use the z-score formula as follows;z = (x - μ) / σ, where x = completion time= 49 minutesz1 = (49 - 57) / 8= -1z2 = (65 - 57) / 8= 1

Now, we need to find the area under the normal curve between these z-scores as shown in the figure below;z1 = -1, z2 = 1We can see that the area under the normal curve between -1 and 1 is approximately 0.6826. Therefore, the percent of people that take between 49 and 65 minutes to complete the exam is 68.26%.B) We need to find the interval of completion times containing the middle 95% of test-takers.To find this, we need to find the z-scores corresponding to the middle 95% of test-takers from the normal distribution table or calculator.

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10pack------------>$17.35

1 pack-------------->x

using cross multiplication

10/1 = 17.35/x

Solving for x:

x = 17.35/10 = $1.735

Therefore each pack costs $1.735

Answer:

29.12%

Step-by-step explanation:

Given that :

A = 49

B = 50

C = 38

D = 60

E = 75

Total = (49 + 50 + 38 + 60 + 75) = 272

Pie chart % for each :

A = (49 / 272) * 360 = 64.85

B = (50 / 272) * 360 = 66.18

C = (38 / 272) * 360 = 50.29

D = (60 / 272) * 360 = 79.41

E = (75 / 272) * 360 = 99.26

Difference between C and D

(79.41 - 50.29) = 29.12%

Answer:

Cos A: \(\frac{15}{17}\)

Tan A: \(\frac{8}{15}\)

Sin C: \(\frac{8}{17}\)

How I did it:

Cos A: \(\frac{Base}{Hypotenuse}\) This is the basic " fraction "

Or in similar terms: = \(\frac{ab}{bc}\)

Cos A = \(\frac{15}{17}\)

Tan A = \(\frac{Perpendicular}{Base}\)

Similar terms once again = \(\frac{ac}{ab}\)

Tan A = \(\frac{8}{15}\)

Sin A = \(\frac{Perpendicular}{Hypotnuse}\)

Similar terms = \(\frac{ac}{bc}\)

Since A = \(\frac{8}{17}\)

Thus your answers are:

Cos A = \(\frac{15}{17}\)

Tan A = \(\frac{8}{15}\)

Sin A = \(\frac{8}{17}\)

Answer:

x=5

Step-by-step explanation:

-7x-3x+2= -8x - 8

Add like terms

-7x-3x=-10x

-10x+2=-8x-8

+8x       +8x

-2x+2=-8

     -2  -2

-2x=-10

Divide by -2 to isolate the variable

x=5

Answer:

Step-by-step explanation:

what is the answer to the equation

-7x - 3x + 2= -8x - 8

-7x - 3x + 8x = -10

2x = -10

x = 5

----------------------

check

-7 * 5 - 3 * 5 + 2 = -8 * 5 - 8

-48 = -48

the answer is good

Lori will make more than Darryl, then the after 10 years Lori will have make $27.00 more in their account.

Darryl deposits into a savings = $1,500

Account that has a simple interest rate = 2.7%.

Lori deposits into a savings = $1,400

Account that has a simple interest rate = 3.8%.

Let us assume,

\(P_{1}\) = $1,500

\(r_{1}\) = 2.7%.

\(r_{1}\) =  2.7/100

\(r_{1}\) = 0.027

After 10 years = t = 10years

The formula to calculate simple interest is,

\(A_{1}\) = \(P_{1} (1+r_{1} t)\)           (Equation-1)

\(P_{1}\) = Principal amount

\(r_{1}\) = rate of interest ( in decimal )

t = time

First we calculate Darryl's deposit,

So we can substitute values in the equation-1,

\(A_{1}\) = 1,500(1 + 0.027×10)

\(A_{1}\) = 1,500 ( 1+0.27 )

\(A_{1}\) = 1,500 × 1.27

\(A_{1}\) = $1905

Now we will calculate Lori's deposit,

\(A_{2}\) = \(P_{2} (1+r_{2} t)\)                (Equation-2)

\(P_{2}\) = $1,400

\(r_{2}\) = 3.8%.

\(r_{2}\) =  3.8/100

\(r_{2}\) = 0.038

So we can substitute values in the equation-2,

\(A_{2}\) = 1,400 ( 1 + 0.038 × 10 )

\(A_{2}\) = 1,400 ( 1 + 0.38 )

\(A_{2}\) = 1,400 × 1.38

\(A_{2}\) = $1,932

Darryl will make money after 10 years = $1905

Lori will make money after 10 years = $1,932

Hence,

Lori will make more than Darryl,

Then the difference will be = 1,932 - 1,905 = $27

Therefore,

After 10 years Lori will have make $27.00 more in their account.

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Answer: C

Step-by-step explanation:

Since the inequalities for all 4 options are different, all you need to look at are the inequality signs.

For the line with a positive slope (bottom left to top right), the point it ends at is not filled in, so that point is not included meaning it is x > 1.

For the line with a negative slope (top left to bottom right), the point it ends at is filled in, so that point is included meaning it is x \(\leq\) 1.

C. is the only one that has these inequalities.

Answer:

B. E'(-1,1)

Step-by-step explanation:

Change the X value of each of the points by -5, as this represents 5 units left.

Change the Y value of each of the points by +2, as this represents 2 units up.

For E:

X: 4 - 5 = -1

Y: -1 + 2 = 1

Coordinate: (-1,1)

Answer:

1: d. 3054^3

2: d. 20x

Step-by-step explanation:

1)

Well to find the volume of a sphere we use the following formula,

\(\frac{4}{3}\pi r^3\)

So the radius is 9.

9*9*9 = 729

729*pi = 2290.22104447

So it is 2290 rounded to the nearest whole number.

2290 * 4/3 = 3053.3333333

Thus,

the answer is d. \(3054^3\)

____________________________________________________________

So we have to factor 25x^2 - 9,

which is \(\left(5x+3\right)\left(5x-3\right)\).

So if the l and w are 5x + 3 and 5x - 3,

= 10x

10x + 10x = 20x,

Thus,

the answer is d. 20x

Answer:

5/8 > 4/7

Step-by-step explanation:

4/7 = 0.5714

5/8 = 0.625

5/8 > 4/7

Answer:

5/8

Step-by-step explanation:

4/7 =0.5714285714

5/8=0.625

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The total volume of snow used to make the snowman is 568π/3 cubic inches, approximately 188.4955592 cubic inches.

The given snowballs have the following radii: 2 inches, 3 inches and 5 inches. The volume of a sphere is given by the formula:V = (4/3)πr³
Where r is the radius of the sphere. Using the above formula, let us find the volume of the snowballs one by one:
Volume of snowball with radius 2 inches
V = (4/3)π(2)³= 4π(8/3)= 32π/3 cubic inches
Volume of snowball with radius 3 inches
V = (4/3)π(3)³= 4π(27/3)= 36π cubic inches
Volume of snowball with radius 5 inches
V = (4/3)π(5)³= 4π(125/3)= 500π/3 cubic inches
Therefore, the total volume of snow used to make the snowman is:
V(total) = 32π/3 + 36π + 500π/3= 568π/3 cubic inches, approximately 188.4955592 cubic inches.


Thus, the total volume of snow used to make the snowman is 568π/3 cubic inches, approximately 188.4955592 cubic inches.

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Answer: The geometric mean between \(3\sqrt{7\) and \(18\sqrt{7}\) is \(3\sqrt{42\)

Geometric mean : In Mathematics, the Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values. Basically, we multiply the numbers altogether and take the nth root of the multiplied numbers, where n is the total number of data values.

The geometric mean is given as : GM =\(\sqrt[n]{x_{1}*x_{2}* x_{3} * ........x_{n} }\)

Where \(x_{1 } , x_{2} , x_{3}\) ….\(x_{n}\) are the observations.

So, given numbers are : \(3\sqrt{7}\) and \(8\sqrt{7}\)

The geometric mean of the given numbers is : \(GM = \sqrt[2]{3\sqrt{7} *18\sqrt{7} }\)

= \(3\sqrt{42}\)

So, the geometric mean of \(3\sqrt{7}\) and \(18\sqrt{7}\) is \(3\sqrt{42}\)

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Answer:

Roadhouse

Step-by-step explanation:

Because

Answer:

We know that:

1 inch in the drawing, equals 3 feet in the real room.

Then if the scale is 6 in by 4 in, the actual room is:

6*3ft by 4*3ft

18ft by 12ft.

The total area of the room is:

18ft*12ft = 216ft^2.

Now we know that the price of the carpet is $5,50 per square ft,

The area of the room is 216 ft^2, then if we want to carpet the whole room, we need to pay 216 times $5.50.

Cost = 216*$5.50 = $1,188

Answer:

\(\sf 113 \ km^3\)

Step-by-step explanation:

Volume of cylinder:

Find radius from the diameter.

        r = 12 ÷ 2

        r = 6 km

       h = 1 km

Substitute r and h in the below formula,

      \(\boxed{\text{\bf Volume of cylinder = $\bf \pi r^2h$}}\)

                                           \(\sf = 3.14*6*6*1\\\\= 113.04 \\\\ =113 \ km^3\)

Hello !

Answer:

\(\Large \boxed{\sf V\approx 113.0\ km^3}\)

Step-by-step explanation:

The volume of a cylinder is given by \(\sf V=\pi\times r^2\times h\) where r is the radius and h is the heigth.

Given :

Let's replace r and h with their values in the prevous formula :

\(\sf V=\pi\times6^2\times1\\V\approx 3.14\times 36\\\boxed{\sf V\approx 113.0\ km^3}\)

Have a nice day ;)

The statement is true that 95% of all possible sample means will fall above 76.71.

We know that the sample mean can be calculated using the formula;

\($\bar{X}=\frac{\sum X}{n}$\).

Given that the mean is 80 and the variance is 400 for the population and the sample size is 100. The standard deviation of the population is given by the formula;

σ = √400

= 20.

The standard error of the mean can be calculated using the formula;

SE = σ/√n

= 20/10

= 2

Substituting the values in the formula to get the sampling distribution of the mean;

\($Z=\frac{\bar{X}-\mu}{SE}$\)

where \($\bar{X}$\) is the sample mean, μ is the population mean, and SE is the standard error of the mean.

The sampling distribution of the mean will have the mean equal to the population mean and standard deviation equal to the standard error of the mean.

Therefore,

\(Z=\frac{76.71-80}{2}\\=-1.645$.\)

The probability of the Z-value being less than -1.645 is 0.05. Since the Z-value is less than 0.05, we can conclude that 95% of all possible sample means will fall above 76.71.

Conclusion: Therefore, the statement is true that 95% of all possible sample means will fall above 76.71.

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