find the average value of f(x,y)=6eyx ey over the rectangle r=[0,2]×[0,4]

Using compound interest, it is found that Freddie will have £7433 in his account in 8 years.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

For the first two years, the parameters are given as follows:

P = 6600, r = 0.03, n = 1, t = 2.

Hence the amount is:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(2) = 6600\left(1 + 0.03)^{2}\)

A(2) = 7002.

For the final 6 years, the parameters are:

P = 7002, r = 0.01, n = 1, t = 6.

Hence the amount after 8 years is:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(6) = 7002\left(1 + 0.01)^{6}\)

A(6) = 7433.

Freddie will have £7433 in his account in 8 years.

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a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Answer:

p = -13/10

Step-by-step explanation:

2/3 -2p = 5 + 4/3p

first isolate p

-2p = 5 + 4/3p -2/3

-2p -4/3p = 5 -2/3

then you expand the whole numbers to be able to solve each side

-6/3p -4/3p = 15/3 -2/3

subtract

-10/3p = 13/3

now you isolate p again by dividing each side by -10/3p

p = 13/3 ÷ -10/3

you cant divide fractions, so flip one of them and multiply

p = 13/3 x - 3/10

p = 39/30

simplify and you get p = 13/10

I canot make the graph for you, However, 4 miles in 44 minutes means Al is running 1 mile in 11 minutes on average.

1 mile 11 minutes

3 miles 33 minutes

4 miles 44 minutes

The lowest level of the hierarchy of needs model is the intrapersonal level.

The hierarchy of needs model, developed by Abraham Maslow, suggests that individuals have different levels of needs that must be fulfilled in a specific order. The model consists of five levels: physiological needs, safety needs, belongingness and love needs, esteem needs, and self-actualization needs.

The intrapersonal level represents the basic physiological needs, such as food, water, shelter, and sleep. These needs are essential for survival and form the foundation of the hierarchy. Once the physiological needs are met, individuals can progress to higher levels of needs, such as safety, belongingness, and self-actualization.

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The cash flow to stockholders for 1998 is -$4 million.

To calculate the cash flow to stockholders for 1998, follow these steps:

Identify the dividends paid: Brandy's Candies paid $23 million in dividends during 1998.

Determine the net common stock repurchases: Brandy's Candies made net common stock repurchases of $27 million during 1998.

Subtract the net common stock repurchases from the dividends paid: $23 million - $27 million = -$4 million.

The resulting cash flow to stockholders for 1998 is -$4 million, indicating a net outflow of cash from stockholders.

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Answer:

A. is 2.

B. is 5.

C. is 1.

D. is 4.

E. is 6.

F. is 3.

Explaination for my answer

Its bascially just rearrange to make x =

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer:

5

Step-by-step explanation:

Answer:

Find the inverse of g(x)=1/x-1+2 :

\(g^{-1} (x)=\frac{1}{x-1}\)

The expression can be written in another way, as 88 ÷ 4 - 2 x 1 = 22 - 2 = 20. Hence, 88:4-2x1 = 20.

To solve the expression 88:4-2x1, we must use the order of operations. The order of operations is an agreed upon set of rules that help us determine which operation to carry out first.

The order of operations is often abbreviated as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Firstly, we need to perform multiplication, because multiplication and division come before addition and subtraction. We are multiplying 2 by 1, which equals 2.

Next, we need to perform division because it is the next operation in the PEMDAS order. We are dividing 88 by 4, which equals 22. Finally, we perform subtraction by subtracting 2 from 22. Therefore, the final answer is 20.

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The solution to the equation 88:4-2x1 is 20. This is obtained by applying the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

To solve this mathematical equation, we must follow the order of operations. The acronym PEMDAS is commonly used to remember this order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Applying this order to 88:4-2x1=?, we first perform the division operation: 88 ÷ 4 = 22. The equation becomes 22 - 2x1.

Next, we do the multiplication: 2 * 1 = 2. The equation becomes 22 - 2.

Finally, we perform the subtraction: 22 - 2 = 20. Therefore, 88:4-2x1 equals 20.

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Answer:

Original: $1,554.31

You Pay: $1088.02

You Save: $466.29

Answer:

1/16

Step-by-step explanation:

Probability helps us to know the chances of an event occurring. The probability that all four pennies will be tails is (1/16).

Probability helps us to know the chances of an event occurring.

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

The probability of a penny getting a tail is 0.5 or (1/2), therefore, the probability of four penny getting a tail can be written as,

\(\rm Probability = \dfrac14 \times \dfrac14 \times \dfrac14 \times \dfrac14 = \dfrac1{16}\)

Hence, the probability that all four pennies will be tails is (1/16).

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Answer:

k=-4

Step-by-step explanation:

f(x) translates down 4 from g(x)

Answer:

Below.

Step-by-step explanation:

1) Alternate exterior angles

2) Alternate interior angles

3) Alternate exterior angles

4) Alternate exterior angles

5) Alternate interior angles

6) Corresponding angles

7)Alternate exterior angles

8) Alternate interior angles

9) Corresponding angles

10) Corresponding angles

When two parallel lines are intersected by a transversal 8 angles are formed.

Alternate exterior angles: These angles are located outside the parallel lines but on the opposite side of the transversal.

Alternate interior angles:

These angles are located inside the parallel lines but on the opposite side of the transversal.

Corresponding angles: These angles are located at the same relative position on the same side of the transversal.

Answer:

Pyramid, solid, polyhedron

Step-by-step explanation:

Took the quiz

A pyramid is a three-dimensional polyhedron with a polygonal base and three or more triangle-shaped faces that meet at a point above the base. The correct options are B, E, and F.

A pyramid is a three-dimensional polyhedron with a polygonal base and three or more triangle-shaped faces that meet at a point above the base. The triangle sides are referred to as faces, while the point above the base is referred to as the top.

The given object can be described as a solid, pyramid and a polyhedron as well.

Hence, the correct options are B, E, and F.

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Answer:

1) Multiply the base of the parallelogram by the height to find the area.

2)Measure or record the length of the long, flat side, or base.

3)Draw a line straight up from the base to it's parallel side. 

4)Measure the distance between your base and the top of the parallelogram for height.

5)Multiply the base by the height to find the area.

6)Always add "units squared" at the end of your problem for the correct answer. 

Step-by-step explanation:

A parallelogram is a quadrilateral, or four-sided shape, with two sets of parallel sides. Squares, rectangles, and rhombuses are special types of parallelograms, though most people think of a "slanted" rectangle, with two diagonal sides and two flat sides, when they think of the parallelogram.[1] No matter what the angle of the corners or the slant of the shape, it is easy to calculate the area of a parallelogram.

In the given project, students are required to work in the same groups as in Project 1 to study and understand the workings of a 7-segment display counter.

The main task for each group is to design a number generator (RNG) using only electronic components. This RNG should be able to predictably display 3-digit numbers on the 7-segment display. The term "predictably display" implies that the generated numbers should follow a specific pattern or sequence, making it possible to anticipate the upcoming numbers.

This project helps students gain practical experience in designing electronic circuits and understanding the functionality of 7-segment displays.

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Answer:

x+112°+133°+128°+100°+120°=720°(angle sum property of hexagon is 720)

x+593°=720°

x=720°-593°

x=127°

hope u understood!

Points D, A, and E are collinear in the given triangle.

So, we have: ΔABC ≅ ΔBAD

AD has an intersection with AE and BC║AD, BC║AE.

Therefore, points D, A, and E are collinear in the given triangle.

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Answer:

18.8

Step-by-step explanation:

Surface area=2*pi*r*(r+h)=2*pi*1*(3)=18.8

The probability that the selected chocolate will be either cookies and cream or peanut butter cups are,

let cookies and cream be x

and peanut butter cups be y

As these are the two chocolates in the bag,

there is a 50:50 probability

Hence,

The probability of cookies and cream = 50%

The probability of peanut butter cups=50%

As x+y=total both have equal probability

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Responder:

b)

1 0

0 1

Explicação passo a passo:

Das opções fornecidas:

Todas as opções atendem à condição de uma matriz quadrada, pois todas têm o mesmo número de linhas e colunas (2 * 2)

Para ter uma matriz diagonal, todas as entradas fora da diagonal principal serão Zero.

Por outro lado, a matriz de identidade é um tipo especial de matriz quadrada com uma ao longo da diagonal principal.

Indo por essas condições apenas a matriz (b); atende às três condições.

for 2 answers are -6/5, -3 and 3

Step-by-step explanation:

i don't know answer for 1 and 3 but i can help u with 2

5x^3 + 6x^2 - 45x - 54

x^2( 5x + 6) -9(5x-6)

(5x+6)(x^2 - 9)

5x+6=0 x^2-9=0

5x= -6 x^2= 9

x= -6/5 x= -3 or 3

Answer: 15 pounds of apples left!

Step-by-step explanation:

Yellow: 9 times 2 = 18 apples

Red: 9

Green: 14

Add them all together- 18 plus 9 plus 14 =41.

Subtract 26 from 41 = 15

15 pounds of apples left!

Answer:

C. 4

Step-by-step explanation:

Rewrite the equation in terms of y = mx + b

f(x) = -5x + 4

Wireshark is the tool used to capture data packets over time, either continuously or overnight.

Wireshark is a powerful network protocol analyzer that allows you to capture and examine data packets flowing through a network. It provides a comprehensive set of features for capturing, analyzing, and interpreting network traffic.

With Wireshark, you can capture packets from various network interfaces and save them to a capture file for later analysis. It supports capturing packets in real-time, allowing you to monitor network activity as it happens.

Wireshark offers detailed packet-level inspection, allowing you to examine packet headers, payloads, protocols, and other relevant information.

Furthermore, Wireshark supports numerous protocols and provides protocol-specific decoders to interpret and analyze different network protocols. It also offers advanced features like packet coloring, statistical analysis, packet comparison, and the ability to export captured data for further analysis or sharing with others.

Overall, Wireshark is widely used by network administrators, security professionals, and developers to diagnose network issues, troubleshoot problems, analyze network performance, and investigate security incidents by capturing and analyzing data packets over time.

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A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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The cumulative frequency distribution indicates the total number of data items with values below the class's upper limit.

Cumulative frequency analysis examines how frequently values of a phenomena occur that are less frequent than a reference value. The phenomenon could depend on time or place. Another name for cumulative frequency is frequency of non-exceedance. Each frequency from a frequency distribution table is added to the total of its predecessors to determine the cumulative frequency. Since all frequencies will have previously been added to the prior total, the final result will always be equal to the sum of all observations. The quantity of an element in a set is referred to as the element's frequency. The accumulation of all earlier frequencies up to the present time is another definition for cumulative frequency.

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