Use the information in the table below to answer the following question.

Name of Fund
NAV
Offer Price
Upton Group
$18.47
$18.96
Green Energy
$17.29
$18.01
TJH Small-Cap
$18.43
$19.05
WHI Health
$20.96
NL

Trevor buys 80 shares of Upton Group and 70 shares of TJH Small-Cap. What is Trevor’s total investment?
a.
$2,687.90
b.
$2,768.00
c.
$2,850.30
d.
$2,957.60

The solution to the system of equations: y = 2x + 5 and y = x + 1 is x = 1 and y = 2.

Linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable raised to the power of 1. In other words, it represents a straight line when graphed on a coordinate plane.

The general form of a linear equation is:

ax + by + c = 0

Here, "x" and "y" are variables, and "a," "b," and "c" are constants.

For example, the equation y = 2x + 3 is a linear equation with one variable (x) and represents a straight line on a graph. The coefficients 2 and 3 determine the slope and y-intercept of the line, respectively.

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The estimated raw material Inventory balance at the end of July is $27,750.

The estimated raw material inventory balance at the end of July, we need to follow the given information and calculations:

a. Each unit of finished goods requires 5 pounds of raw materials. Therefore, the total raw materials needed for production in August can be calculated as follows:

23,000 units (budgeted unit sales for September) × 5 pounds/unit = 115,000 pounds

b. The ending raw materials inventory equals 10% of the following month's raw materials production. Based on the information provided, the estimated raw materials needed to meet production in August is 111,000 pounds.

111,000 pounds × 0.10 (10%) = 11,100 pounds

This means that the ending raw materials inventory for July should be 11,100 pounds.

c. The cost of raw materials is $2.50 per pound. To find the value of the raw material inventory at the end of July, we multiply the pounds by the cost per pound:

11,100 pounds × $2.50/pound = $27,750

Therefore, the estimated raw material inventory balance at the end of July is $27,750.

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Step-by-step explanation:

As my previous answer got deleted for being wrong (in which it was right), I will answer again.

The answer is 1. Why? Just plug it into the equation. F(1) = 2(1) + 5 = 7.

This is proof that it is right, and that there are some corrupt admins on brainly.

How to get to this solution?

Well notice how we are given what f(a) is. It is 2a + 5. So plug this in for f(a).

If we do so, we get 2a + 5 = 7.

Solving this equation, we get a = 1.

It would take 15 people approximately 3.6 hours to complete the same task.

To solve this problem, we can use the concept of the work done. Work is defined as the product of the number of people and the time taken to complete a task.

Let's assume that the amount of work required to complete the task is represented by W. We know that 25 people can do the task in 6 hours, so the work done by 25 people in 6 hours is 25 * 6 = 150 person-hours.

Now, we need to find out how long it would take 15 people to do the same task. Let's represent the time taken by 15 people to complete the task as T.

Since the amount of work required to complete the task is the same, we can set up a proportion:

25 people / 6 hours = 15 people / T hours

Cross-multiplying, we get:

25 * T = 15 * 6

Simplifying, we find:

25T = 90

Dividing both sides by 25, we obtain:

T = 90 / 25 = 3.6 hours

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Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

Answer:

Least common multiple = 150

Step-by-step explanation:

The least common multiple is defined as the smallest multiple that two or more numbers have in common.

We can find the least common multiple by listing the multiples of both numbers:

Multiples of 15:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150

Multiples of 50:

50, 100, 150

Thus, 150 is the least common multiple of 15 and 50.

Answer:

  (x, y) = (5, 2)

Step-by-step explanation:

You want to use the elimination method to solve these equations:

To solve the equations by the elimination method you want to combine them in such a way that the coefficient of one of the variables is zero.

The coefficients of x are 4 and 3, so we can eliminate the x variable by multiplying the first equation by 3 and the second equation by -4 before we combine (add) them.

The coefficients of y are 2 and -4, so we can eliminate the y variable by multiplying the first equation by 2 before we combine (add) them. This seems simpler.

  2(4x +2y) +(3x -4y) = 2(24) +(7)

  11x = 55 . . . . . . . . simplify

  x = 5 . . . . . . . . divide by 11

  4(5) +2y = 24 . . . . . . substitute for x in the first equation

  2y = 24 -20 . . . . . subtract 20

  y = 2  . . . . . . . . divide by 2

The solution is (x, y) = (5, 2).

<95141404393>

Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

The graph that best represents the inequality, -3 < n, is determined as the graph in option 3.

The inequality, -3 < n, simply means the possible values n are greater than -3, because -3 is less than any of the possible values of n.

Therefore, the correct graph representing the inequality -3 < n is a number line with an open circle at -3 and the line extending to the right. This indicates that n is greater than -3 but does not include -3 itself.

Thus, the graph in option 3 represents -3 < n.

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The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."

According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.

The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:

Sum = (n/2)(first term + last term)

In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:

Sum = (7/2)(x + (x + 6))

Simplifying the equation:

(7/2)(2x + 6) = (21/4)(x + 6)

Multiplying both sides by 4 to eliminate the fractions:

14x + 42 = 21x + 126

Subtracting 14x from both sides:

42 = 7x + 126

Subtracting 126 from both sides:

-84 = 7x

Dividing both sides by 7:

-12 = x.

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The approximate value of log3 16 is 2.5247. This means that 3 raised to the power of approximately 2.5247 is equal to 16.

The logarithmic-expression[tex]log3 ^1^6[/tex] can be interpreted as "the exponent to which 3 must be raised to obtain 16." In other words, we are looking for a number, let's call it x, such that 3 raised to the power of x equals 16.

To determine the approximate value of[tex]log3^1^6[/tex], we can make use of the change of base formula for logarithms, which states that loga b = logc b / logc a. Applying this formula, we can rewrite log3 ^16 as log10 16 / log10 3.

Using a calculator, we find that log10 16 is approximately 1.2041 and log10 3 is approximately 0.4771. Dividing these two values, we get 1.2041 / 0.4771 ≈ 2.5247.

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We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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The solutions to the equation sin(θ) + 1 = cos(2θ) on the interval 0 ≤ θ ≤ 2π are θ = 0, θ = π, θ = 7π/6, and θ = 11π/6.

To solve the equation sin(θ) + 1 = cos(2θ) on the interval 0 ≤ θ ≤ 2π, we can use trigonometric identities and algebraic manipulations to simplify and find the solutions.

Let's start by using the double-angle identity for cosine:

cos(2θ) [tex]= 1 - 2sin^2(\theta)[/tex]

Substituting this into the equation, we have:

[tex]sin(\theta) + 1 = 1 - 2sin^2(\theta)[/tex]

Rearranging the equation, we get:

[tex]2sin^2(\theta) + sin(\theta) = 0[/tex]

Factoring out sin(θ), we have:

sin(θ)(2sin(θ) + 1) = 0

Now we can set each factor equal to zero and solve for θ:

sin(θ) = 0 or 2sin(θ) + 1 = 0

For sin(θ) = 0, the solutions are θ = 0 and θ = π (since sin(θ) = 0 at these values on the interval 0 ≤ θ ≤ 2π).

For 2sin(θ) + 1 = 0, we can solve for sin(θ):

2sin(θ) + 1 = 0

2sin(θ) = -1

sin(θ) = -1/2

The solutions for sin(θ) = -1/2 on the interval 0 ≤ θ ≤ 2π are θ = 7π/6 and θ = 11π/6.

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(1) In diagram 1, the method used is proportional height method.

(2) In diagram 2, the method used is angle of depression method.

(3) In diagram 3, the method used for the indirect measurement  is the angle of elevation method.

The method of measurement of the height of the tree is determined as follows;

(1) In diagram 1, the method used to estimate the height of the tree is proportional height method.

(2) In diagram 2, the method used for the indirect measurement  of the height of the tree is angle of depression method, as indicated in the position of the observer.

(3) In diagram 3, the method used for the indirect measurement  of the height of the tree is the angle of elevation method, as  indicated in the position of the observer.

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Given statement solution is :-

1) Gather your electricity bills from the period before the summer break.

2) Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

3) Research or locate the power consumption information for each appliance.

4) Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

5) After the summer break, collect your electricity bill for the corresponding period.

6) Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

To conduct a comparative study of consecutive electric bills and analyze the impact of a reduction plan, you can follow the steps below:

Examine your electricity bills of pre-summer break:

Gather your electricity bills from the period before the summer break.

Look for details such as total energy consumption (in kilowatt-hours or kWh), billing period, and the cost per unit of electricity.

List the various electrical appliances used in your home:

Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

Find out the power consumption and duration for each device in use:

Research or locate the power consumption information for each appliance.

This information is typically provided on the appliance itself or in the user manual.

Note down the power rating of each device in watts (W) or kilowatts (kW).

Estimate the average duration each device is used daily in hours (e.g., 2 hours for a television, 8 hours for a refrigerator).

Calculate the estimated electricity consumption and cost:

Multiply the power rating (in kW) of each device by its average daily usage (in hours) to find the daily energy consumption (in kWh).

Multiply the daily energy consumption by the number of days in the billing period to get the total energy consumption for that period.

Multiply the total energy consumption by the cost per unit of electricity to calculate the estimated cost for each appliance.

Sum up the estimated costs for all appliances to get the total estimated electricity bill.

Make an energy reduction plan and determine implementation:

Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

Unplugging devices when not in use.

Determine the feasibility of implementing these energy reduction measures in your home.

Re-examine your electricity bill of post-summer break:

After the summer break, collect your electricity bill for the corresponding period.

Calculate the actual energy consumption and cost using the same method as in step 4.

Compare the actual post-summer break bill with the estimated pre-summer break bill.

Note any changes in energy consumption and cost, and analyze the effectiveness of your energy reduction plan.

Document your reduction plan and changes in the bill:

Write a report summarizing your findings and observations.

Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

By following these steps, you can conduct a comparative study of consecutive electric bills, analyze the effectiveness of your energy reduction plan, and track changes in energy consumption and costs.

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None of the provided options (A, B, C, D) matches the correct surface area of the prism, which is 210 square inches.

To find the surface area of the prism, we need to calculate the area of each face and then sum them up.

Let's calculate the areas of each face:

Rectangle 1: Area = base × height = 13 × 5 = 65 square inches

Rectangle 2: Area = base × height = 12 × 5 = 60 square inches

Rectangle 3: Area = base × height = 5 × 5 = 25 square inches

Triangle 1: Area = (base × height) / 2 = (12 × 5) / 2 = 30 square inches

Triangle 2: Area = (base × height) / 2 = (12 × 5) / 2 = 30 square inches

Step 2: Sum up the areas of all the faces.

Total Surface Area = Area of Rectangle 1 + Area of Rectangle 2 + Area of Rectangle 3 + Area of Triangle 1 + Area of Triangle 2

Total Surface Area = 65 + 60 + 25 + 30 + 30

Total Surface Area = 210 square inches

Therefore, the surface area of the prism is 210 square inches.

Now, let's sum up the areas of all the faces:

Total surface area = 65 + 60 + 25 + 30 + 30 = 210 square inches

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This has to do with proprotions.

RV is 12

AE/AC = BF/BD

BD/AC = BF/AE

DF/CE = BD/AC

In mathematics, proportions express the relationship between two ratios.

They compare two equivalent fractions or ratios and state that they are equal, allowing us to solve for unknown values in a proportional relationship.

To solve the equation (24/32) = (RV/16), we can cross-multiply and solve for RV.

Cross-multiplying gives us

24 * 16 = 32 * RV

Simplifying further

384 = 32 * RV

To isolate RV, divide both sides of the equation by 32

384 / 32 = RV

Simplifying the division

12 = RV

Therefore, the value of RV in the equation (24/32) = (RV/16) is 12.

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The solution (X = 8, Y = 16) represents a minimum because the second partial derivatives are both positive.

The quadratic equation's roots 32

+6x+8=0 utilises the quadratic formula to determine. x = is the quadratic formula.

where the quadratic equation's coefficients are a, b, and c. Here, an equals 1, b equals 6, and c equals 8. We obtain the quadratic formula's result by entering these values: x =

x = (-6 ± √(36 - 32)) 2 x = (-6 to 4) 2 x = (-6 to 2) 2 x = (-3 to 1) 1 x = (-2 to 4)

Generally, any quadratic equation of the form may be solved using the quadratic formula to get the roots.

Whereas a, b, and c are real numbers, + bx + c=0. One effective method for tackling a wide range of physics and maths issues is the quadratic formula.

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A construction of the line plot for the amount of time spent on homework on Monday night is shown in the image attached below.

In Mathematics and Statistics, a line plot can be defined as a type of graph that is used for the graphical representation of data set above a number line, while using crosses, dots, or any other mathematical symbol.

In this scenario and exercise, we would make use of an online graphing calculator (tool) to graphically represent the amount of time spent on homework on Monday night on a line plot as shown in the image attached below.

In conclusion, we can reasonably infer and logically deduce that the mode of the data set is equal to 2 because it has the highest frequency of 3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

1.

a) Slope: 1/3. Y-intercept:-2.

b) y=1/3x-2

2.

a) y=9.50x+15

b) To solve, substitute 12 in for x. y=9.50(12)+15. y=114+15. y=129. It will cost $129 for a full year membership.

No, Mr. Morake's statement is not true.

The basic charge is included in the water usage bill. The basic charge is a fixed fee that is charged to all customers, regardless of their water usage. It helps to cover the costs of maintaining the water infrastructure, such as the water mains and pipes. The basic charge for Mr. Morake's property is R150.00. This means that the total amount of his water bill should be R216.27, not R201.27.

Here is a breakdown of Mr. Morake's water bill:

* Basic charge: R150.00

* Water usage: R51.27

* Total: R201.27

It is possible that Mr. Morake is confused about the difference between the basic charge and the water usage charge. The basic charge is always included in the water bill, while the water usage charge is only charged if you use more than a certain amount of water. In Mr. Morake's case, he used more than the amount of water that is exempt from the water usage charge, so he was charged the full water usage amount.

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1) The area of a circle circumscribed about a square is 307.7 cm².

2.a.) The angle ACB is 39 degrees.°.

2b.) The value of x is 5.42.

We shall find the radius to determine the area of a circle.

First,  find the side length of the square:

Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.

Next, find the diagonal of the square, using the Pythagorean theorem:

Diagonal = the diameter of the circumscribed circle.

Diagonal² = side length² + side length²

= 14 cm² + 14 cm²

= 196 cm² + 196 cm²

= 392 cm²

Take the square root of both sides:

Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)

Then, the radius of the circle which is half the diagonal:

Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)

Finally, compute the area of the circle using the formula:

Area = π * Radius²

Area = 3.14 * (9.90 cm)²

Area ≈ 307.7 cm² (rounded to two decimal places)

Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².

2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.

Given that arc AB has a measure of 78°, we can find angle ACB as follows:

Angle ACB = 1/2 * arc AB

= 1/2 * 78°

= 39°

Therefore, the angle ACB is 39 degrees.

2b.) To solve for the value of x, we use the information that the angle ADB =  (3x - 12)⁴.

Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:

(3x - 12)⁴ = 78

Solve the equation for x, by taking the fourth root of both sides:

∛∛((3x - 12)⁴) = ∛∛78

Simplify,

3x - 12 = ∛(78)

Isolate x by adding 12 to both sides:

3x - 12 + 12 = ∛(78) + 12

3x = ∛(78) + 12

Finally, divide both sides by 3:

x = (∛(78) + 12) / 3

x = (4.27 +12) / 3

x = 5.42

So, x is 5.42

Therefore,

1) The area of the circle is 154 cm².

2a.) Angle ACB is equal to 102°.

2b.) The value of x is 5.42

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We have proven that for all whole values of n, the expression (n-3)(n+2) - (n-3)(n+8) is divisible by 6.

We proved that [far]n-3)(n+2) - (n-3)(n+8) is divisible by 6 for all integer values ​​of n.

[distant]n-3)(n+2) - (n-3)(n+8) is divisible by 6 for all integers in n, simplifying the expression so that it is about 6 Indicates a multiple. .

step 1:

Expand the expression using distribution properties.

[tex](n-3)(n+2) - (n-3)(n+8) = n(n+2) - 3(n+2) - n(n+8) + 3(n+8)[/tex]

Step 2:

Simplify by distributing:

=[tex]n^2 + 2n - 3n - 6 - n^2 - 8n + 3n + 24[/tex]

Step 3:

Combine similar terms:

= [tex]-6 - 8n + 2n + 24[/tex]

= [tex]-6 - 6n + 24[/tex]

= 18 - 6n

Step 4:

Factorization 6:

= 6(3-n)

It turns out that this formula is equal to 6 times the quantity (3 - n).

6 is a multiple of 6, so any number multiplied by 6 is divisible by 6. Therefore (3 - n) is divisible by 6 for all integer values ​​of n.  

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The top right line (second line) best fits the data in this problem, as it has the lowest residuals.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

For a line of best fit, we have that the residuals are the lowest possible, meaning that the points are the closest to the line.

Hence the top right line best fits the data in this problem, as it has the lowest residuals.

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The domain and the range of the graph are

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph can be represented as a list of ordered pairs

The rule of a graph is that

From the graph, we can see that

This means that the domain and range can take any real value for x and y

Using the above as a guide, we have the following:

Domain = All set of real values

Range = All set of real values

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The required fraction of non-fiction hardback books sold is 13/40.

Given the table shows the number of different books sold by a shop. What fraction of the books sold were non-fiction, hardback books? We need to find out what fraction of the books sold were non-fiction, hardback books.

The table is: Fiction  Non-fiction eBook 7   5  Hardback 6  13  Paperback 8  1The number of non-fiction hardback books is 13.

Now, the total number of books sold is: 7 + 5 + 6 + 13 + 8 + 1 = 40The fraction of non-fiction hardback books sold = (number of non-fiction hardback books sold) / (total number of books sold)= 13/40The fraction cannot be simplified further.

Therefore, the required fraction of non-fiction hardback books sold is 13/40.

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Step-by-step explanation:

This is similar to the other problem you posted (problem 16).

Again, use the law of cosines. I won't write it out because I wrote it out for the other problem you asked.

Just plugin in a = 8, b = 20, and gamma = 35 into the law of cosines. Then you get your c value, which in this problem is your b variable.

I got around 14.20814

The model predicts that there are approximately 0.012456 (71/5700) restaurants per capita in the year 2016

To determine the number of restaurants per capita, we need to divide the number of restaurants (R) by the population (p). Given that R = 6t + 35 and p = 200t + 4500, we can substitute these values into the equation for restaurants per capita.

Restaurants per capita = R / p

Substituting the given equations, we get:

Restaurants per capita = [tex](6t + 35) / (200t + 4500)[/tex]

To find the number of restaurants per capita for the year 2016, we need to calculate the value of t for that year. Since t represents years after 2010, in 2016, t would be 6 (2016 - 2010 = 6).

Restaurants per capita (2016) = [tex](6 * 6 + 35) / (200 * 6 + 4500)[/tex]

= [tex](36 + 35) / (1200 + 4500)[/tex]

= 71 / 5700

This means that, on average, there is roughly one restaurant for every 80 people in the town. Please note that this prediction is based on the given growth equations and assumes a linear relationship between population and the number of restaurants.

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The garden will have the greatest possible area of 80,000 square feet when the shorter side is 400 feet, the longer side is 200 feet, and the garden is bordered by a river on one side.

To find the dimensions that guarantee the garden has the greatest possible area, we can use the concept of optimization.

Let's assume the shorter side of the rectangular garden is x feet.

Since one side of the garden is bordered by a river and doesn't require fencing, we only need to fence three sides of the garden.

The perimeter of the garden is given by the sum of the lengths of the three sides, which is equal to 800 feet.

Thus, we have:

x + 2L = 800

Solving for L (the longer side of the garden) in terms of x:

L = (800 - x)/2

The area of the rectangular garden is given by the product of its length and width, which is:

Area = x [tex]\times[/tex] L

Substituting the expression for L in terms of x:

Area = x [tex]\times[/tex] [(800 - x)/2]

To find the dimensions that guarantee the greatest possible area, we need to find the maximum value of this area.

We can do this by differentiating the area function with respect to x, setting it equal to zero, and solving for x:

d(Area)/dx = (800 - 2x)/2 = 0

800 - 2x = 0

2x = 800

x = 400

So, the shorter side of the garden should be 400 feet.

Substituting this value back into the expression for L:

L = (800 - 400)/2 = 200

Therefore, the longer side of the garden should be 200 feet.

Finally, to find the greatest possible area, we can substitute the values of x and L into the area formula:

Area = 400 [tex]\times[/tex] 200 = 80,000 square feet.

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The width of the box of tissues is approximately 10.49 cm.

We can use the formula for the volume of a rectangular prism:

Volume = Length × Width × Height

We may rearrange the formula to find the breadth if we know the volume is 1501.5 cm3 and the length is 11 cm:

Width = Volume / (Length × Height)

Substituting the given values:

Width = 1501.5 cm³ / (11 cm × 13 cm)

Width = 1501.5 cm³ / 143 cm²

Calculating the result:

Width ≈ 10.49 cm

So, the width of the box of tissues is approximately 10.49 cm.

Learn more about volume of rectangular prism here : brainly.com/question/23665595

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