-4.8[6.3x-4.8]=-58.56

Wouldn't the answer be any number which has the hundredths place as a 5? For example, 23,521.

As 50 x 10 = 500 and the 5 in 23,521 represents 500.

The answer of the given question based on the circle is , Henry needs to purchase an additional 44 feet of fencing to enclose the new garden.

Circumference is distance around edge of  circular object. It is same as  perimeter of  circle. The circumference of a circle can be calculated using the radius of the circle, which is half the diameter.

The circumference of  circle with diameter d is given :

C = πd

Using the given diameter of 14 feet, the circumference of the original garden is:

C1 = πd1 = (22/7) * 14 = 44 feet

When the diameter is doubled to 28 feet, the circumference of the new garden is:

C2 = πd2 = (22/7) * 28 = 88 feet

To find how much more fencing Henry needs to purchase to enclose the new garden, we need to subtract the original circumference from the new circumference:

C2 - C1 = 88 - 44 = 44 feet

Therefore, Henry needs to purchase an additional 44 feet of fencing to enclose the new garden.

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Title: Portfolio Analysis of ABC Company: Managing Risk and Return with Investment Securities. The positive correlation between stocks and bonds allows for diversification benefits, but further diversification through other assets might be explored to reduce risk.

Introduction:

This report analyzes the risk and return profile of ABC Company, a fictitious business organization, through a portfolio consisting of two investment securities: stocks and bonds. The objective is to assess the expected return, risk level, and correlation between these securities.

Investment Securities Selection:

Stocks: ABC Company invests in various publicly traded stocks with potential for capital appreciation and dividend income.

Bonds: The company also holds government and corporate bonds, aiming for steady interest income and capital preservation.

Expected Return Calculation:

The expected return for each investment security is estimated based on historical data and financial analysis.

Stocks: Average return = 10%, Variance = 25%, Standard deviation = 5%.

Bonds: Average return = 5%, Variance = 4%, Standard deviation = 2%.

Portfolio Expected Return:

Suppose ABC Company allocates 70% of its portfolio to stocks (weight = 0.7) and 30% to bonds (weight = 0.3).

Portfolio Expected Return = (0.7 * 10%) + (0.3 * 5%) = 8.5%.

Portfolio Risk Analysis:

Portfolio Variance = (0.7^2 * 25%) + (0.3^2 * 4%) = 17.65%.

Portfolio Standard Deviation = √17.65% = 4.20%.

Correlation Analysis:

The correlation coefficient between stocks and bonds is 0.3, indicating a positive but relatively weak correlation.

Interpretation:

ABC Company's portfolio shows an expected return of 8.5%, combining the potential growth from stocks and steady income from bonds. The portfolio's risk level, measured by standard deviation, is 4.20%, reflecting a balance between the higher risk of stocks and the lower risk of bonds.

The positive correlation between stocks and bonds implies that they may not always move in the same direction, providing some diversification benefits. However, the relatively weak correlation suggests that the two securities may not provide maximum risk reduction.

Conclusion:

Based on the portfolio analysis, ABC Company can expect reasonable returns with moderate risk exposure. The positive correlation between stocks and bonds allows for diversification benefits, but further diversification through other assets might be explored to reduce risk.

Regular monitoring and adjustments based on market conditions are crucial for optimizing the risk and return trade-off for the company's investment portfolio.

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The solution to Assignment problem is given below.

The goal of the assignment problem, a particular kind of linear programming issue, is to reduce the time or expense of having several tasks completed by multiple people.

Step-1: Find out the each row minimum element and subtract it from that row

   1   2   3   4   5    

A  12 0 11 12 16 (-11)

B  5 0 4 5 5 (-1)

C  6 1 4 7 0 (-3)

D  0 9 2 22 0 (-13)

E  7 4 0 2 4 (-2)

Step-2: Find out the each column minimum element and subtract it from that column.

   1   2   3   4   5    

A  12 0 11 10 16

B  5 0 4 3 5

C  6 1 4 5 0

D  0 9 2 20 0

E  7 4 0 0 4

   (-0) (-0) (-0) (-2) (-0)

Step-3: Make assignment in the opporunity cost table

(1) Rowwise cell (A,2) is assigned, so columnwise cell (B,2) crossed off.

(2) Rowwise cell (C,5) is assigned, so columnwise cell (D,5) crossed off.

(3) Rowwise cell (D,1) is assigned

(4) Columnwise cell (E,3) is assigned, so rowwise cell (E,4) crossed off.

Step-5: Cover the 0 with minimum number of lines

(1) Mark(✓) row B since it has no assignment

(2) Mark(✓) column 2 since row B has 0 in this column

(3) Mark(✓) row A since column 2 has an assignment in this row A.

(4) Since no other rows or columns can be marked, therefore draw straight lines through the unmarked rows C,D,E and marked columns 2.

Step-4: Number of assignments = 5, number of rows = 5

Which is equal, so solution is optimal

Optimal assignments are

   1   2   3   4   5    

A  9 [0] 8 7 13

B  2 0 1 [0] 2

C  6 4 4 5 [0]

D  [0] 12 2 20 0

E  7 7 [0] 0 4

Optimal solution is

Work Job Cost

A           2 11

B           4 6

C           5 3

D           1 13

E           3 2

       Total 35

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Answer:

i might be wrong but 4.913

Step-by-step explanation:

i got this by using the calculator  1.7^3 = 4.913

Answer:

r

Step-by-step explanation:

h\

Answer:

5 hours

Step-by-step explanation:

350 miles / 70 mph = 5 hours

Answer: 5 hours

Step-by-step explanation: 1) Find the number of hours by dividing the distance by mph. The number of hours will be to the left of the decimal point:

350 miles / 70 mph

= 5

= 5 hours

2) Find the number of minutes by multiplying what is remaining from step 1 by 60 minutes. The minutes will be to the left of the decimal point:

0 x 60

= 0

= 0 minutes

3) Find the number of seconds by multiplying what is remaining from step 2 by 60 seconds. The seconds will be to the left of the decimal point:

0 x 60

= 0

= 0 seconds

The coordinates of B are (-7,-2).

What do you mean by x and y coordinates?

The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.

According to the given data in the question,

if M is the location where line segment AB meets its midpoint.

Then, we will using the midpoint formula,

\((-5,2)=(\frac{-3+x}{2},\frac{6+y}{2})..............(1)\)

Putting the x-coordinates in (1),

\(-5=\frac{-3+x}{2}\\ -10=-3+x\\-10+3=x\\x=-7\)

Similarly, putting the y-coordinates in (1),

\(2=\frac{6+y}{2} \\4=6+y\\4-6=y\\y=-2\)

Hence, the coordinates of B are (-7,-2).

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Without more information about the specific situation (such as the height from which the bottle is dropped, the surface on which it is dropped, and so on), a value for p cannot be determined.

The probability of landing a bottle on the floor on any given try is a fixed value, typically represented by "p".

The probability that he will land the bottle on the floor on the tenth try is then given by:

P(tenth attempt landing) = (1 - p)9 * p

where (1 - p)9 represents the probability that he fails to land the bottle on the floor in the first nine attempts, and p represents the probability that he lands the bottle on the floor on the tenth attempt.

However, without more information about the specific situation (such as the height from which the bottle is dropped, the surface on which it is dropped, and so on), a value for p cannot be determined.

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It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed,  then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.

To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.

We can set up a proportion to find the time:

(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)

Let's solve for the time taken for 146 km:

(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)

Substituting the given values:

(time taken for 146 km) = 32 minutes * (146 km / 48 km)

Calculating the value:

(time taken for 146 km) ≈ 32 minutes * 3.042

(time taken for 146 km) ≈ 97.344 minutes

Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.

To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:

Additional time = 97.344 minutes - 32 minutes

Additional time ≈ 65.344 minutes

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Area of base triangle = 1/2×base×height

Area of base= 8×6×1/2= 24cm²

Area of prism = Bh = 24 × 12 = 288cm³

Answer:

Solution given:

base[b]=6cm

height [h]=8cm

length[l]=12cm

volume of a prism=area of triangle *length

=½*b*h*l=½*6*8*12=288cm³

is a required answer.

Answer:

See below.

I really hope it helps! :)

Step-by-step explanation:

(3, 4) location:

(-2, 6) location:

(5, -5)

(-4, -2)

Point E

Point F

Point G:

Point H:

Sadly, I can't solve the spiral review. I am sorry :(

Answer:

40

Step-by-step explanation:

7(4)+2(4)+(4)=?

28+8+4=?

36+4=?

40

Simplify

Put x=4

The answer to this question is (A) left.

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Both Jo and Liam are correct

From Jo's equation:

sin 40°=BC 62

Note: sin 40° = 0.64

0.64 = 62 BC

To find BC, divide both sides by 62

From Liam's equation:

cos 50°=BC62

Note: cos 50° = 0.64

0.64 = 62 BC

To find BC, divide both sides by 62

Both Jo and Liam are correct because when both equations are used, the same value of BC is gotten.

The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)

To explain further, we need to understand the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.

In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.

Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.

Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.

Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.

In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)

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Answer:

y = -7/6x + b

Step-by-step explanation:

Perpendicular lines require the reciprocal of the slope and opposite sign to the original slope. Then, you substitute the x and y coordinates into the equation to find the y-intercept. Done.

y = 6/7x -7     (6,3)

y = -7/6x + b

3 = -7/6(6) + b

3 = -7 + b

7     7

10 = b

y = -7/6x + b

Answer:

see below

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 6/7x. Its slope is (6/7). A line perpendicular to this one will  have a slope of -7/6.

Plug this value (-7/6) into your standard point-slope equation of y = mx + b.

y = -7/6x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (6, 3). Plug in the x and y values into the x and y of the standard equation.

3 = -7/6(6) + b

To find b, multiply the slope and the input of x (6)

3 = -42/6 + b

3 = -7 + b

Now, add 7 to both sides to isolate b.

10 = b

Plug this into your standard equation.

y = -7/6x + 10

This equation is perpendicular to your given equation (y = 6/7x -7) and contains point (6, 3)

If two lines are parallel to each other, they have the same slope.

The first line is y = 6/7x - 7. Its slope is (6/7). A line parallel to this one will also have a slope of 6/7.

Plug this value (6/7) into your standard point-slope equation of y = mx + b.

y = 6/7x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (6, 3). Plug in the x and y values into the x and y of the standard equation.

3 = 6/7(6) + b

To find b, multiply the slope and the input of x (6)

3 = 36/7 + b

Now, subtract 36/7 to both sides to isolate b. To make this easier to visualize, convert 3 to have a denominator of 7.

21/7 - 36/7 = b

-15/7 = b

Plug this into your standard equation.

y = 6/7x - 15/7

This equation is parallel to your given equation (y = 6/7x - 7) and contains point (6, 3)

Hope this helps!

Answer:

16.7

Step-by-step explanation:

speed is constant at 17 mph

Distance covered after one hour = 17 miles

Distance between port and San Francisco = 3 miles

Speed at which distance changes 1 hour after leaving port :

r² = 17² - 3²

r² = 289 - 9

r = √280

r = 16.733

= 16.7 (nearest tenth )

The depreciation of the vehicle at third year with miles driven 10,000 is $590.

A fixed asset's depreciated cost is equal to its value less the total amount of accumulated depreciation that has been recorded against it.

The depreciated cost is used to calculate an asset's value after its useful life is over.

The depreciated cost helps organizations examine their capital spending patterns and their accounting technique.

The depreciated cost is also known as the "residual value," "net book value," or "changed cost base."

The depreciation cost per mile for the third year is given as 5.9 cents.

The miles driven = 10,000

The depreciation for the vehicle is:

(5.9)(10,000) = 59000 cents.

Converting into dollars:

59000/100 = $590.

Hence, the depreciation of the vehicle at third year with miles driven 10,000 is $590.

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When we evaluate the given expression, A/5 + √(B - C), the result obtained is 9 (option B)

First, we shall determine the value of A. Details below:

Quadratic equation is expressed as:

x² - (sum of root)x + product of root

Comparing the above with x² - 11x + 30, we have

x² - 11x + 30 = x² - (sumof root)x + product of root

Product of roots = 30

Thus,

A = 30

Next, we shall determine the value of B. details below:

f(x) = x² + 5

f(2) = 2² + 5

f(2) = 9

Thus,

B = 9

Next, we shall determine the value of C. Details below:

Let

x + 4 = 0

Thus,

x = -4

Substitute the value of x into x² - 2x - 24 to obtain the remainder as shown below:

Remainder = x² - 2x - 24

Remainder = (-4)² - 2(-4) - 24

Remainder = 0

Thus,

C = 0

Finally, we shall determine value of A/5 + √(B - C). Details below:

A/5 + √(B - C) = 30/5 + √(9 - 0)

A/5 + √(B - C) = 6 + √(9

A/5 + √(B - C) = 6 + 3

A/5 + √(B - C) = 9

Thus, the value of A/5 + √(B - C) is 9 (option B)

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Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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The probability that the mean height of a random sample of 56 ten-year-old males will be greater than 53 inches is approximately 0.9991, or 99.91% when rounded to three decimal places.

What is the central limit theorem?

The central limit theorem, which states that the sample means of large samples (n > 30) from a population with any distribution approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

We can solve this problem by using the central limit theorem,

In this case, the sample size is n = 56, which is larger than 30, so we can assume that the sample means are normally distributed. The mean of the sample means is equal to the population mean, which is 55.5 inches, and the standard deviation of the sample means is equal to the population standard deviation divided by the square root of the sample size:

standard deviation = 6 / √(56) = 0.801

To find the probability that the mean height of the sample will be greater than 53 inches, we can standardize the sample mean using the standard deviation calculated above:

z = (sample mean - population mean) / (standard deviation)

= (53 - 55.5) / 0.801

= -3.12

Using a standard normal distribution table or calculator, we can find the probability that a standard normal random variable is greater than -3.12:

P(Z > -3.12) = 0.9991 (rounded to four decimal places)

Therefore, the probability that the mean height of a random sample of 56 ten-year-old males will be greater than 53 inches is approximately 0.9991, or 99.91% when rounded to three decimal places.

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If

f

(

x

)

=

2

x

4

−

9999999kwwkqkkaosos

\(\text{Given that,}~ f(x) =2x^2 -3x +1~ \text{and}~ g(x) = x+1\)

\(f(g(x))\\\\=f(x+1)\\\\=2(x+1)^2 -3(x+1) +1\\\\=2(x^2 +2x +1) -3x -3 +1\\\\=2x^2 +4x +2-3x -2\\\\=2x^2 +x\\\\=x(2x+1)\)

Answer:

f(g(x)) = 2x² + x

Step-by-step explanation:

f(x) = 2x² – 3x + 1 and g(x) = x + 1

→substitute  g(x)  for  x + 1

f(g(x)) = f (x + 1)

→substitute x for x+1 into the f(x) equation

f(g(x)) = f (x + 1)  = 2(x+1)² – 3(x+1) + 1

→calculate

f(g(x)) =  2(x+1)² – 3(x+1) + 1 , square x+1

f(g(x)) = 2( x²+2x+1) -3(x+1) +1 , distribute in parenthesis

f(g(x)) = 2x²+4x+2 -3x -3 +1, combine like terms

f(g(x)) = 2x² + x

Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.

Step-by-step explanation: Formula and Solving it

He Spent $2.50 on pencils.

Amount left after buying a pencil = x - 2.50

Next, he spent half of the amount left in his pocket.

He spent (x - 2.50)/2 on notebook and paper.

So the total amount he spent = 2.50 + (x -2.50)/2

Amount left when he got home =$ 5.00

That means, x - Total amount spent = 5

=> x - (2.50 + (x -2.50)/2 ) = 5

=> x - 2.50 -x/2 + 2.50/2 = 5

=> x/2 - 2.50/2 = 5

=> x/2 = 5 + 2.50/2

=> x/2 = 6.25

=>x = $12.5

Answer: f(3) = g(6)

Step-by-step explanation: if you plug them in we see that f of 3 on the y axis intercept g of x so we then go up and see that g of 6 intercepts f of 3 so therefore that is the answer

The sum of four consecutive integers is,

⇒ 4n + 6

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

⇒ n = first integer of the four.

Now, Let four consecutive integers with n is first integer of the four are,

⇒ n, n + 1, n + 2, n + 3

Hence, The sum of four consecutive integers is,

⇒ S = n + (n + 1) + (n + 2) + (n + 3)

      = 4n + 6

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Answer:

-2,-6,0,4,8

Step-by-step explanation:

-2 is the least because all other numbers are greater than it(i.e any negative number is less than 0)

Answer:

x = 20

Step-by-step explanation:

The small square at the vertex indicates a 90º angle

Therefor

x + (3x + 10) = 90

Combine like terms

4x + 10 = 90

Subtract 10 from both sides

4x = 80

Divide both sides by 4

x = 20