-9(-2 -9)+(-16)-
——————
-8

The solution is, PV= $45,879.68.

Here, we have,

Explanation:

Giving the following information:

Cash flow= $4,000 annually

n= 20

i= 6% compunded annually

The maximum that an investor should pay is the present value (PV).

First, we need to calculate the future value using the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual cash flow

FV= {4,000*[(1.06^20) - 1]} / 0.06

FV= $147,142.36

Now, we can calculate the present value, we need to use the following formula:

PV= FV/(1+i)^n

PV= 147,142.36/(1.06^20)

PV= $45,879.68

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complete question:

Assuming you are a rational investor, the amount you should be willing to pay for a 20-year ordinary annuity that makes payments of $4,000 per year and you require a 6% rate of return per year is closest to:

Answer:

multiply the top number then divide the bottom

Step-by-step explanation:

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

here is your answer...

2x^2-3x-5

Answer:

n to the power of -2

Step-by-step explanation:

i counted all the others and this is the only one that doesn't add up to 16. the last answer is -16 not 16 so there you go.

Step-by-step explanation:

Just multiply the two dimensions to get m^2  area

7.2 m * 11 m = 79.2 m^2

Part a

Find out the Amplitude

Remember that

The Amplitude is the height from the centerline to the peak

looking at the graph

max=4

min=-1

so

centerline=(4+1)/2=2.5

Part b

Find out the Period

The Period goes from one peak to the next

so

the distance between two peaks is 3-1=2

therefore

A prime number is a special number because it means that it only has one factor pair and that factor pair is always 1 and the number itself.

In other words, prime numbers are the numbers

divisible by 1 and the number itself.

For example, let us take 2.

2 has only two factors and those are 1 and 2 so it's prime.

Similarly, 7 is also a prime number because it has only two factors

and these are 1 and the number itself which is 7.

Answer:

A number that is only divisible by itself and 1

Step-by-step explanation:

the solutions are:

The only information of h(x) that we have is the given graph.

To find the value of x, we need to go to the vertical axis and find y = 4, then we move horizontally to the left until we meet the curve.

That intersection will give the value of x for which h(x) = 4.

Doing that, we conclude that h(x) = 4 when x = 0 (on the vertical axis).

Now we want to find h(-2), and we can do that using the graph.

By finding x = -2 on the horizontal axis and then moving up until we intercept the graph, we can see that:

h(-2) = 2

Concluding, the solutions are:

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The next three terms in the geometric sequence will be 24, 48 and 96.

We are given a geometric sequence:

3, 6, 12 …

We need to find the next 3 terms of the sequence.

We can see that:

a = initial term of the sequence

a = 3

r = common ratio between the consecutive terms.

r = 6 / 3 = 2

Now, nth term will be represented by:

aₙ = a rⁿ⁻¹

Substituting the values of a and r in the formula, we get that:

aₙ = 3 (2)ⁿ⁻¹

Now, the 4th term will be ( put n = 4)

a₄ = (3) (2)⁴⁻¹

a₄ = (3) (2)³

a₄ = (3) × (8)

a₄ = 24

The 5th term will be: (put n = 5)

a₅ = (3) (2)⁵⁻¹

a₅ = (3) (2)⁴

a₅ = (3) × (16)

a₅ = 48

6th term will be: (put n = 6)

a₆ = (3) (2)⁶⁻¹

a₆ = (3) (2)⁵

a₆ = (3) × (32)

a₆ = 96

Therefore, the next three terms in the geometric sequence will be 24, 48 and 96.

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Your question was incomplete. Please refer the content below:

The first three terms of a geometric sequence are 3, 6, 12. What are the next three terms?

The Variables (a) Gender is Categorical , (b) Alcohol can be either Categorical or Quantitative and (c) Height is Quantitative .

We can identify the type of each variable as categorical or quantitative.

(a) Gender: This variable is categorical, as it describes a characteristic that can only take on a limited number of values (e.g., male or female).

(b) Alcohol: Without additional information , it is not clear whether this variable is categorical or quantitative.

If the data set only includes information about whether an individual drinks alcohol or not, then this variable is categorical. If the data set includes information about how much alcohol an individual consumes, then this variable would be quantitative.

(c) Height: This variable is quantitative, as it represents a numerical measurement of a continuous variable.

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The given question is incomplete , the complete question is

Identify and classify the variable(s) you will use. here is the list of variables in the data set.  

(i) identify the variable as either categorical or quantitative.

the variables are (a) Gender , (b) Alcohol , (c) Height .

9514 1404 393

Answer:

  (-16, -12), (16, -12)

Step-by-step explanation:

The given values (side length and hypotenuse) have the ratio ...

  12 : 20 = 3 : 5

This suggests that the triangle formed by the axes and the point 20 units from the origin is a 3-4-5 triangle, and the remaining side is 16 units from the y-axis. That means the points of interest are ...

  (-16, -12) and (16, -12)

Answer:

Step-by-step explanation:

a.) When you have the following equation \(a(x-h)^2+z\) To find the vertex you take the h value, change its sign (to positive in this case) and that will give you the x value. To find the y-value just take the z. This gives us (15,-100)

b.) The axis of symmetry is just the x value of the vertex which is 15

c.) I'm not too sure what this means but can tell you that it's concave up because there's no way x can be negative

d.)Because the a value is positive that means that the graph is concave up which means that it has a minimum. The minimum is just the y value of the vertex which is just -100

e.) I'm going to write this in interval notation. The domain is all the possible x values of the graph which is all real numbers or (-∞,∞). The range is all the possible y values. We know that the minimum is -100 which means all the possible y values are [-100,∞)

f.) This is obviously a parabola and because the graph is concave up and has a negative minimum there must be 2 x intercepts.

Answer:

155 cm2

Step-by-step explanation:

The distance between M and H is given as follows:

x = 21.3.

Similar triangles are triangles that share these two features presented as follows:

The proportional relationship between the side lengths is given as follows:

x/18 = 24/16

Applying cross multiplication, the distance between M and H is obtained as follows:

16x = 24(18)

x = 24 x 18/16

x = 27.

The diagram is given by the image presented at the end of the answer.

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The sum of the terms is x^7+10x^4+4x^3-5x^11-10x^6

To determine the value, we need to know that algebraic expressions are described as expressions that are composed of factors, constants, variables, terms and coefficients.

These algebraic expressions are also identified with the presence of arithmetic operations,

These operations are;

From the information given, we have that;

7x^7+10x^4+4x^3-5x^11-10x^6-6x^7

collect the like terms

7x^7 - 6x^7+10x^4+4x^3-5x^11-10x^6

add the like terms

x^7+10x^4+4x^3-5x^11-10x^6

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Answer:

it will take him 44 minutes

Step-by-step explanation:

20 minutes / 5 pages = 4 minutes per page

4 minutes per page * 11 pages = 44 minutes

The mode is the option most often in a data series.

In the case the Business

_________________

In this data series business is the option most often

Answer:

117

Step-by-step explanation:

18x9=162

5x9=45

162-45=117

Answer:

6 sweaters

Step-by-step explanation:

Multiply 8.25 by 6 and you get $49.50

Answer:

Step-by-step explanation:

Amount of red marbles = 3red

Amount of green marbles = 7 green

If the marble is red and you win $2, the total amount of money won = 3 * $2 = $6

If the marble is green and you loose $1, the total amount of money lost = 7 * $1 = $7

The expected value of the game for you = amount won - amount lost

= $6 - $7

= -$1

This means the expected value is a loss of $1

SOLUTION:

Step 1;

In this question, we are given the following:

Step 2:

The details of the solution are as folows:

CONCLUSION:

The final answer is:

Answer:

96

Step-by-step explanation:

12 times 4 gets you 48

48 times 2 gets you 96

Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

Relations in the options (a), (b) and (e) are the Equivalence relations as, the relations are reflexive, symmetric and transitive all.

Given, five relations as,

a) {(a, b) | a and b are the same age}

b) {(a, b) | a and b have the same parents}

c) {(a, b) | a and b share a common parent}

d) {(a, b) | a and b have met}

e) {(a, b) | a and b speak a common language}

we have to find which of them are equivalence relations

a) as, (a , a) ∈ R ∀ a hence, Reflexive.

also, if (a , b) ∈ R then (b , a) ∈ R ∀ a, b. Hence, Symmetric.

and if (a , b) ∈ R & (b , c) ∈ R then (a , c) ∈ R ∀ a, b, c. Hence, Transitive.

So, R = {(a, b) | a and b are the same age} is an equivalence relation.

b) as, (a , a) ∈ R ∀ a hence, Reflexive.

also, if (a , b) ∈ R then (b , a) ∈ R ∀ a, b. Hence, Symmetric.

and if (a , b) ∈ R & (b , c) ∈ R then (a , c) ∈ R ∀ a, b, c. Hence, Transitive.

So, R = {(a, b) | a and b have the same parents} is an equivalence relation.

c) as, (a , a) ∈ R ∀ a hence, Reflexive.

also, if (a , b) ∈ R then (b , a) ∈ R ∀ a, b. Hence, Symmetric.

and if (a , b) ∈ R & (b , c) ∈ R then (a , c) need not to be in R for some a, b, c. Hence, Non - Transitive.

So, R = {(a, b) | a and b share a common parent} is not an equivalence relation.

d) as, (a , a) ∈ R ∀ a hence, Reflexive.

also, if (a , b) ∈ R then (b , a) ∈ R ∀ a, b. Hence, Symmetric.

and if (a , b) ∈ R & (b , c) ∈ R then (a , c) need not to be in R for some a, b, c. Hence, Non - Transitive.

So, R = {(a, b) | a and b have met} is not an equivalence relation.

e) as, (a , a) ∈ R ∀ a hence, Reflexive.

also, if (a , b) ∈ R then (b , a) ∈ R ∀ a, b. Hence, Symmetric.

and if (a , b) ∈ R & (b , c) ∈ R then (a , c) ∈ R ∀ a, b, c. Hence, Transitive.

So, R = {(a, b) | a and b speak a common language} is an equivalence relation.

Hence, the relations in options (a) , (b) and (e) are the equivalence relations.

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\(\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

                What kind of number is \(\bold{-\sqrt{2}}\)?

\(\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

First, let's look at each of the four sets of numbers:-

So in which set does \(\bold{-\sqrt{2}}\) belong?

First, it's negative, so it's not a natural number.

Then, it's not an imaginary number, so it doesn't belong in the "Not a real number" set.

It can't be written as a fraction, so it doesn't belong in the "Rational" set, but it does belong in the "Irrational numbers" set.

According to the answer and explanation, we conclude that the number \(\bold{-\sqrt{2}}\) belongs in the "Irrational number" set.

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

Given an original function

Its graph is plotted as

When the function is transformed to the function

Its plot becomes

The above plot shows that the graph moves horizontally to the right by 49 units

Thus, this results in a right shift to the graph

49 units