PLS HELP WITH THIS ONE if a radius of a cake is 13 and the ribbon of the cake is 36 cm will the ribbon be long enough to go around the edge of the cake?

Answers

Answer 1

Answer:

No, the ribbon would not be long enough to go around the edge of the cake.

Circumference ≈ 81.7 cm

Step-by-step explanation:

1) Calculate the circumference of the cake

Circumference - the length around a circle

[tex]C=2\pi r[/tex] where r is the radius

Plug 13 in as the radius

[tex]C=2\pi (13)\\C=26\pi\\C= 81.7[/tex]

Therefore, the circumference of the cake is approximately 81.7 cm.

Because the ribbon is only 36 cm long, it would not be enough to go around the edge of the cake.

I hope this helps!


Related Questions

please help asap
which inequality is represented by this graph

Answers

Answer:

W is either less than or( less than or equal to)

Step-by-step explanation:

I do not know what shows if something is equal to so the best answer I can think if is less than -2 as it looks like W is everything lower or equal to -2

Country Financial, a financial services company, uses surveys of adults age and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of adults showed indicating that their financial security was more than fair. In February of 2010, a sample of adults showed indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. - Select your answer - - Select your answer - b. What is the sample proportion indicating that their financial security was more than fair in 2012

Answers

Complete question :

Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of 1000 adults showed 410 indicating that their financial security was more than fair. In February of 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. H : Pi - P2 - Select your answer HA : P1 P2 - Select your answer - b. What is the sample proportion indicating that their financial security was more than fair in 2012? Round your answer to two decimal places. In 2010?

Answer:

H0 : p1 - p2 = 0

H1 : p1 - p2 ≠ 0

Phat 2010 = 0.35

Phat 2012 = 0.41

Step-by-step explanation:

The null and alternative hypothesis :

H0 : p1 - p2 = 0

H1 : p1 - p2 ≠ 0

The null means there is no difference in proportion for the two years while the alternative claims that there is difference in proportion for the two years.

Sample proportion for 2010:

Phat = x / n

x = 315 ; n = 900

Phat = 315 / 900

Phat = 0.35

Sample proportion for 2012 :

Phat = x / n

x = 410 ; n = 1000

Phat = 410 / 1000

Phat = 0.41

In a study of the accuracy of fast food? drive-through orders, Restaurant A had 239 accurate orders and 70 that were not accurate.

a. Construct a 95?% confidence interval estimate of the percentage of orders that are not accurate

Answers

The 95% confidence interval estimate of the percentage of orders that are not accurate is approximately (17.37%, 27.83%)

Let's denote p as the proportion of orders that are not accurate.

The sample proportion of orders that are not accurate is given by:

p(bar) = 70 / (239 + 70)

= 70 / 309

≈ 0.226

The standard error of the proportion is calculated as:

SE = √[(p(bar)(1 - p(bar))) / n]

= √[(0.226(1 - 0.226)) / 309]

≈ √(0.1785 / 309)

≈ 0.0267

To find the margin of error, we need to multiply the standard error by the critical value corresponding to a 95% confidence level. For a 95% confidence level, the critical value is approximately 1.96.

Margin of error = 1.96 × SE

≈ 1.96 × 0.0267

≈ 0.0523

Now we can construct the confidence interval:

Lower limit = p(bar) - Margin of error

= 0.226 - 0.0523

≈ 0.1737

Upper limit = p(bar) + Margin of error

= 0.226 + 0.0523

≈ 0.2783

Therefore, the 95% confidence interval estimate of the percentage of orders that are not accurate is approximately (17.37%, 27.83%).

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SOMEONE HELP ME ILL GIVE YOU 50 POINTS I AM DESPERATE I AM IN A MATHS TEST!

Answers

Answer:

12:2

4:24

6:1

Step-by-step explanation:

those 3 are the correct ones

I will mark brainlyist! Can anyone answer and explain how to do these? Thank you!

Answers

Answer:

2) $1797

3) $152

4) $5,378

[tex]\sqrt{x} 196
can someone help me

Answers

Answer:

14

Step-by-step explanation:

√196

Calculate the square root of 196 and get 14.

14

14 ktmthjtkffdgjggjybbtfbtttbtbttg

Using Substitution, what is the point of intersection of the following
systems? *

3x – ly = 14

y = - 2x + 16

1) (6,4)
2) (-6,-4)
3) (-6, 4)
4) (6,-4)

Answers

Answer:

A

Step-by-step explanation:

(6,4)

3x-1y=14

-y= 3x-14

y=-2x+16

sub in first equation

3x-14 =-2x+16

3x+2x= 16 +14

5x = 30

x = 6

plug in x

y=-2x+16

y = -2(6)+16

y = 4

(6,4)

(help asap) The steps to solving the expression the quantity of the sum of three squared plus four divided by the absolute value of negative 0.25 end quantity minus 10.4 ÷ 4 are listed below.


Part A: Explain what the missing expression should be in Step 3. (6 points)


Part B: Explain what the missing expression should be in Step 6. (6 points)



Step 1 the quantity of the sum of three squared plus four divided by the absolute value of negative 0.25 end quantity minus 10.4 ÷ 4

Step 2 the quantity of the sum of three squared plus four divided by 0.25 end quantity minus 10.4 ÷ 4

Step 3

Step 4 the quotient of quantity 13 divided by 0.25 end quantity minus 10.4 ÷ 4

Step 5 52 − 10.4 ÷ 4

Step 6

Step 7 49.4

Answers

The final result of the given expression is 49.4.

Part A: In  the missing expression should be the result of squaring three and adding four.

This is because the expression in Step 2 states "the quantity of the sum of three squared plus four divided by 0.25.

" Therefore, to continue simplifying the expression, we need to evaluate the value of the sum of three squared plus four.

The quantity of [tex](3^2 + 4)[/tex] divided by 0.25

To solve Step 3, we first evaluate the expression inside the parentheses:

[tex]3^2 + 4 = 9 + 4 = 13[/tex]

So, Step 3 becomes:

The quantity of 13 divided by 0.25

Part B: In the missing expression should be the result of dividing 13 by 0.25.

This is because in Step 4, the expression is "the quotient of the quantity 13 divided by 0.25 end quantity minus 10.4 divided by 4."

To simplify further, we need to calculate the value of 13 divided by 0.25.

13 divided by 0.25

To solve Step 6, we perform the division:

13 ÷ 0.25 = 52

So, it becomes:

52 minus 10.4 ÷ 4

Following the remaining steps:

52 minus (10.4 ÷ 4) = 52 - 2.6 = 49.4

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What does 5/9 + 1/3 equal to?

Answers

Here's the final answer to 1/3 + 5/9

1/3+5/9= 8/9

Answer:

= 5/9 + 1/3

=5/9 + 3/9

= 5+3/9

=8/9

Nicole wants to rent a boat and spend less than $33. The boat costs $6 per hour , and Nicole has a discount coupon for $9 off. What is the answer in inequality

Answers

Answer: Nicole can spend up to 7 hours in the boat.

Step-by-step explanation:

Based on the information given in the question, the possible number of hours that can be used will be calculated as thus:

(6 × t) - 9 ≤ 33

6t - 9 ≤ 33

Collect like terms

6t ≤ 33 + 9

6t ≤ 42

Divide both side by the coefficient of t

6t/6 ≤ 42/6

t ≤ 7

Nicole can spend up to 7 hours in the boat.

In ΔEFG, the measure of ∠G=90°, GF = 48, EG = 55, and FE = 73. What ratio represents the cosecant of ∠F?

Answers

Answer:

Cosec <F = 73/55

Step-by-step explanation:

In ΔEFG, the measure of ∠G=90°, GF = 48, EG = 55, and FE = 73. What ratio represents the cosecant of ∠F?

First you must know that;

Cosecant <F = 1/sin<F

Given

∠G=90°, GF = 48, EG = 55, and FE = 73.

ED ,= hyp = 73

EG = opp = 55*side facing <F

Using DOH CAH TOA

Sin theta = opp/hyp

Sin <F= 55/73

Reciprocate both sides

1/sinF = 73/55

Cosec <F = 73/55

2x + 7 = 15
What does x equal?

Answers

X will equal four because 2x4 is 8 and 8+7 is 15

can somebody help me first answer gets brainiest pls help

Answers

Answer: I believe the answer is 216 Square units.

Explanation:
1. Cut the shape in half. Now you have a square and a triangular shape.

2. The square is 12 inches on all four sides. 12 • 12 = 144. 144 is the area for the square.

3. Now, the triangular shape. The bottom of the shape is 12 because we divided the total 24 in half with the square. The left side (the longer side) of the shape is also 12 because it is parallel to the square with 12 as the same measurement. The right side (the shorter side) of the shape is 6 because it's half the size of the square’s length. The length of the top of the shape is also 12 because it is half of the square’s width of 24.

4. Now that we have found the measurements of the triangular shape, we can multiply (length • width) and add. The square is 144 units (12•12=144) and the triangular shape is 72 (12•6=72). 144 + 72= 216.

I hope this helps! :)

This is my last question !

Answers

Answer:

x=50 degrees

Step-by-step explanation:

I'm not sure but hope this helps and have a  wonderful day!!!!

Answer:

x = 48

Step-by-step explanation:

2x + 10 + x + 26 = 180

3x + 36 = 180

3x = 180 - 36

3x = 144

x = 48

What is the area of this

Answers

Answer:

area of trapezoid = 1/2×(a+b)×height

area of trapezoid =1/2×(15m+7m)×7m

area of trapezoid =1/2×22m×7

area of trapezoid =77m²

area of trapezoid =1/2×(a+b)×height

area of trapezoid =1/2×(9ft+12ft)×4ft

area of trapezoid =1/2×21ft×4ft

area of trapezoid =42ft²

Let 2 = 3 + 6i and w = a + bi where a, b E R. Without using a calculator (a) determine z/w and hence, b in terms of a such that z/w is real; (b) determine arg{z - 9}; (c) determine =||w/w||

Answers

The correct answers for the given data are (a) b = 6, (b) arg(z - 9) = -π/4, and (c) ||w/w|| = 1.

(a) To determine z/w, we first need to express z and w in terms of their real and imaginary parts. Given 2 = 3 + 6i, we can rewrite it as z = 3 + 6i. Similarly, w = a + bi. Now, let's calculate z/w:

z/w = (3 + 6i)/(a + bi)

To make z/w real, the imaginary part of the denominator should cancel out the imaginary part of the numerator. This means 6/a = 6i/b. Simplifying further, we get ab = 6a + 6bi. Since a and b are real numbers, the only way for the equation to hold is if b = 6 and a = 1. Therefore, b = 6.

(b) To determine arg(z - 9), we need to subtract 9 from z = 3 + 6i:

z - 9 = (3 + 6i) - 9 = -6 + 6i

The argument (or angle) of -6 + 6i can be calculated as:

arg(-6 + 6i) = arctan(6/(-6)) = arctan(-1) = -π/4

(c) To determine ||w/w|| (the magnitude of w divided by the magnitude of w), we need to find the magnitude of w. Given w = a + bi, the magnitude of w is given by:

||w|| = √(a^2 + b^2)

Now, substituting a = 1 and b = 6 (from part a):

||w|| = √(1^2 + 6^2) = √37

Therefore, ||w/w|| = ||w||/||w|| = 1.

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Given the following utility function:

X: -100 -90 -80 -65 -50 -35 -20 0 20 45 70 110 150

U (X): 0 3 4.5 6 7 8 9 10 11 12 13 14 15

(a) Calculate the probabilities p1 and p2 such that 45 is indifferent to the lotteries: (20, p1; 150, 1 −p1) and (−20, p2; 110, 1 −p2)

(b) Calculate the selling price and risk premiums of the lotteries: (−90, 0.5; −20, 0.5) and (−100, 0.2; −50, 0.3; −20, 0.4; 70, 0.1).

(c) Calculate the buying price for the following lottery (150, 0.4; 45, 0.6).

Answers

If utility function is given then we set up U(45) = p2 * U(-20) + (1 - p2) * U(110) and solve for p2.

(a) To find the probabilities p1 and p2, we set up the equation U(45) = p1 * U(20) + (1 - p1) * U(150) and solve for p1. Similarly, we set up U(45) = p2 * U(-20) + (1 - p2) * U(110) and solve for p2.

(b) The selling price of a lottery is the amount at which an individual is willing to sell the lottery. We compare the expected utility of the lottery to the utility of the certain amount. The risk premium is the difference between the selling price and the expected value of the lottery.

(c) The buying price is the amount an individual is willing to pay for a lottery. We set up the equation U(45) = p * U(150) + (1 - p) * U(45) and solve for p to find the buying price.

Note: The specific calculations for parts (a), (b), and (c) require the values of U(X) for each corresponding X value in the utility function.

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Need help with this question thank you!

Answers

Answer:

You asked this question like 4 times

Step-by-step explanation:

The answer is

(5,-1)

(-4,0)

There is a sale on jeans where you will get 20% off the original price. If the jeans cost $65, how much will you SPEND on the jeans?

plzzzz answer

Answers

Multiply 65 by .2 and then take that number and subtract it from the original 65. So it would be 65 - 13 = 52

PLSS HELP IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link!

Answers

Answer:

C

Step-by-step explanation:

Write an equation of the line perpendicular to the given line that contains P.

Answers

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A certain college graduate borrows $6600 to buy a car. The lender charges interest at an annual rate of 10%. Assuming that interest is compounded continuously and that the borrower makes payments continuously at a constant annual rate k dollars per year, determine the payment rate k that is required to pay off the loan in 5 years. (Round your answer to two decimal places.) k = $ per yr

Answers

The borrower would need to make payments of approximately $943.57 per year to pay off the loan in 5 years.

To determine the payment rate required to pay off the loan in 5 years, we can use the continuous compound interest formula:

A = P * [tex]e^{(rt)[/tex],

where A is the final amount, P is the initial principal, e is the base of the natural logarithm (approximately 2.71828), r is the annual interest rate, and t is the time in years.

In this case, the initial principal is $6600, the annual interest rate is 10%, and the time is 5 years. We want to find the payment rate, so let's set A equal to zero, indicating that the loan is fully paid off:

0 = 6600 * [tex]e^{(0.10 * 5)[/tex]- k * 5,

Simplifying the equation, we have:

[tex]e^{(0.5)[/tex] = k / 6600.

Now, we can solve for k by multiplying both sides of the equation by 6600:

k = 6600 * [tex]e^{(0.5)[/tex],

Using a calculator or software, we find that k is approximately $943.57 per year.

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11. Find the following GCD and LCM. (a) GCD (360, 4000) (c) GCD (627, 205143) (b) LCM (360, 4000) (d) LCM (627, 205143)

Answers

The required answers are:

(a) GCD = 40        (b) LCM = 36000      (c) GCD = 33        (d) LCM = 1032933

GCD and LCM of the given numbers are:

(a) Prime factors of 360: 2 x 2 x 2 x 3 x 3 x 5.Prime factors of 4000: 2 x 2 x 2 x 2 x 5 x 5 x 5.GCD = 2 x 2 x 2 x 5 = 40.

(b) LCM = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 = 36000.

(c) Prime factors of 627: 3 x 11 x 19.Prime factors of 205143: 3 x 3 x 7 x 7 x 11.GCD = 3 x 11 = 33.

(d) LCM = 3 x 3 x 7 x 7 x 11 x 19 = 1032933.

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find the lengths of the sides of the triangle with the indicated vertices, and determine whether the triangle is a right triangle, an isosceles triangle, or neither. a(3, 4, 1), b(0, 6, 2), c(3, 5, 6)

Answers

The lengths of the sides of the triangle ABC are √14, √26, and √26, and the triangle is neither a right triangle nor an isosceles triangle.

To find the lengths of the sides of the triangle with vertices A(3, 4, 1), B(0, 6, 2), and C(3, 5, 6), we can use the distance formula.

The distance formula between two points (x₁, y₁, z₁) and (x₂, y₂, z₂) in three-dimensional space is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

Let's calculate the lengths of the sides of the triangle:

Side AB:

d₁ = √((0 - 3)² + (6 - 4)² + (2 - 1)²)

= √((-3)² + 2² + 1²)

= √(9 + 4 + 1)

= √14

Side BC:

d₂ = √((3 - 0)² + (5 - 6)² + (6 - 2)²)

= √(3² + (-1)² + 4²)

= √(9 + 1 + 16)

= √26

Side AC:

d₃ = √((3 - 3)² + (5 - 4)² + (6 - 1)²)

= √(0² + 1² + 5²)

= √(0 + 1 + 25)

= √26

Now, let's analyze the triangle based on the lengths of its sides:

Since all three sides have different lengths (√14, √26, and √26), the triangle is neither an isosceles triangle (which has at least two sides of equal length) nor a right triangle (which satisfies the Pythagorean theorem).

In summary, the lengths of the sides of the triangle ABC are √14, √26, and √26, and the triangle is neither a right triangle nor an isosceles triangle.

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I need help fast and for real no bots

Answers

Answer: d. 201.06

Step-by-step explanation:

To find area of a circle we use the equation 2pi(r) or in this case 2*pi(16)= 804.25in^2 but since we are looking for the shaded region which is 1/4 or one-fourth of the circle so divide 804.25/4 to get 201 or specifically 201.06

Jo records the number of text messages she receives each day she uses this information to draw this bar chart write 3 mistakes she has made

Answers

Answer:

X axis labels aren't evenly spaces

Y axis has no origin

Missing label

Step-by-step explanation:

Scale of a graph is important when displaying numerical data on a plot.

Based on the bar chart given, it could be seen that the x axis which is labeled days of the week is not adequately spaced. Data on both axis should he a recognizable.

2.)

Taking a look at the graph, it has no origin, the numbering of the vertical axis, number of text messages should start from 0

3.) Also, the x and y axis aren't labeled Hence charts should be well labeled to include x - axis and y-axis.

Answer:

X axis labels aren't evenly spaces

Missing label

there us no scale written starting at 0

Step-by-step explanation:

this will give u 3/3








16. Use the distributive property of multiplication to find the product of 2x5²

Answers

We have:

[tex]2x \cdot (5^2)[/tex]

[tex]= 2x \cdot 25[/tex]

[tex]= \boxed{50x}[/tex]

Find the surface area of a cubical planter
measuring 30 inches on a side.

Answers

30 x 30 = 900

This is the surface area of one side

900 x 6

Multiply by 6 to get the surface area of all 6 sides of the cube

900 x 6 = 5400

jet travelling at 500 km/h for 4 hours.

Answers

Answer: jet travels a total of 2000 km in total

Step-by-step explanation:

Whats the question?

-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-

A proton moves along the x-axis with u2 -1.0 x 10⁷ m/s.
As it passes the origin, what are the strength and direction of the magnetic field at the (1 cm, 0 cm, 0 cm) position? Give your answer using unit vectors Express your answer in terms of the unit vectors i, j, and k. Use the 'unit vector button to denote unit vectors in your answer.

Answers

The magnetic field using the unit vector notation B = Bx i= [(μ₀ / 4π) * (q * (-1.0 x 10⁷ m/s) / 10^-16 m²)] i.

To determine the strength and direction of the magnetic field at the (1 cm, 0 cm, 0 cm) position caused by a moving proton, we can use the formula for the magnetic field produced by a moving charge:

B = (μ₀ / 4π) * (qv × r / r³)

where B is the magnetic field, μ₀ is the permeability of free space (constant), q is the charge of the proton, v is its velocity, × denotes the cross product, r is the position vector, and r³ represents the magnitude cubed of the position vector.

Given information:

u = -1.0 x 10⁷ m/s (velocity of the proton)

Position vector r = 1 cm i

Let's calculate the magnetic field at the given position:

First, we convert the position vector from centimeters to meters:

r = (1 cm, 0 cm, 0 cm) = (0.01 m, 0 m, 0 m)

Next, we substitute the values into the formula and simplify:

B = (μ₀ / 4π) * (qv × r / r³)

= (μ₀ / 4π) * (q * (-1.0 x 10⁷ m/s) × (0.01 m i) / (0.01 m)³)

= (μ₀ / 4π) * (q * (-1.0 x 10⁷ m/s) × (0.01 m i) / 0.000001 m³)

= (μ₀ / 4π) * (q * (-1.0 x 10⁷ m/s) × (0.01 m i) / 10^-18 m³)

= (μ₀ / 4π) * (q * (-1.0 x 10⁷ m/s) / 10^-16 m²) i

Now, we can express the magnetic field using the unit vector notation:

B = Bx i

= [(μ₀ / 4π) * (q * (-1.0 x 10⁷ m/s) / 10^-16 m²)] i

where Bx represents the magnitude of the magnetic field in the x-direction.

Please note that the direction of the magnetic field will depend on the orientation of the velocity vector of the proton.

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He recorded the effect of the music on the completion times for the maze. Merrell found that the 24 mice in the control-group managed to cut (on average) about 5 minutes from their maze-completion time, the mice in the mozart-listening group cut their time back (on average) 8-and-a-half minutes, but the mice in the hard-rock group added (on average) 20 minutes to their time. Based on merrell's study, can we have confidence that type of music has a causal effect on the length of time it takes a mouse to complete a maze? describe a situation in which the add operator in a programming language would not be associative. Examine the table for com yields in a farmland area over the course of several years. 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The table gives some imformation about the Pipocongo's international transactions.(1) Calculate the balance on the three balance of payments accounts.(2) Was Pipocongo a net borrower or a net lander? Explain your answer. Which level of government writes the majority of criminal laws? the national government the state governments the local governments the special districts the county boards of supervisors? The average annual salary for all U.S. teachers is $47,750. Assume that the distribution is normal and the standard deviation is $5680. Find the probabilities. fill in the blank. choose the answer that is most accurate and true. landscape architects design _______________.a.housing developmentc.outdoor and national parksd.benches and fountains Exercise 1) ` + 3y + 2y = 36xex 2) j + y = 3x2 3) + 2y 3y = 3e-* 4) + 2y + 5y = 4e->cos2x 5) j- 2y + 5y = 4e-*cos2x Manual Transmission Automobiles in a recent year, 6% of cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 126 cars, 30 had manual transmissions. Estimate the proportion of college students who drive cars with manual transmissions with 99% confidence, Round intermediate and final answers to at least three decimal places.______ Present one argument against providing both static and dynamic local variables in subprograms. Support your answer with examples from appropriate programming languages The following are Diamonds statement of financial position for 2018, 2019 and 2020. Given the following, prepare a common size(vertical) analysis for the periods 2018, 2019, and 2020. PROBLEM 5-The following are Diamond's statement of financial position for 2018, 2019 and 2020. Given the following, prepare a common size(vertical) analysis for the periods 2018, 2019, and 2020. Diamond Company Comparative Statement of Financial Position 2019 and 2020 2018 % 2019 % 2020 % Current Assets Cash Accounts Receivable Inventories Supplies Prepayments Total Current Assets-100% Non-Current Assets PropertyPlant,&Equipment,n Other Non-Current assets Total Non-Current Assets Total Assets-100% 125,000.00 450,000.00 335,000.00 15,000.00 150,000.00 1,075,000.00 12% 115,500.00 485,000.00 300,000.00 12,000.00 125,000.00 21% 1,037,500,00 145,000.00 350,000.00 200,000.00 8,000.00 100,000.00 303,000.00 3,200,000.00 835,000.00 4,035,000.00 5,110,000.00 79% 3,100,000.00 835,000.00 3,935,000.00 4,972,500.00 3,500,000.00 835,000.00 4,335,000.00 5,138,000.00 100% 100% Current Liabilities Trade Payable Accrued Expenses Short-term Loans Total Current Liabilities-100% Non-Current Liabilities BDO Loan Bonds,10 years Total Non-Current Liabilities Total Liabilities-100% Shareholder's Equity Capital Stock Retained Earnings Total Equity Total Liabilities and Equities-100g 150,000.00 75,000.00 150,000.00 375,000.00 40% 270,000.00 52,500.00 150,000.00 472,500.00 228,000.00 85,000.00 150,000.00 463,000.00 1,500,000.00 1,250,000.00 2,000,000.00 3,250,000.00 3,722,500.00 1,300,000.00 2,000,000.00 3,500,000.00 3,875,000.00 2,000,000.00 3,300,000.00 3,763,000.00 1,000,000.00 235,000.00 1,235,000.00 5,110,000.00 1,000,000.00 250,000.00 1,000,000.00 375,000.00 1,375,000.00 5,138,000.00 1,250,000.00 4,972,500.00 100% 100% 1. Determine (with a proof or counterexample) whether the arithmetic function f(n) = nn is multi- plicative, completely multiplicative, or neither. Programming Exercise 23.11(Heap clone and equals)Implement the clone and equals method in the Heap class.Class Name: Exercise23_11Template:public class Exercise23_11 {public static void main(String[] args) {String[] strings = {"red", "green", "purple", "orange", "yellow", "cyan"};Heap heap1 = new Heap(strings); Heap heap2 = (Heap)(heap1.clone());System.out.println("heap1: " + heap1.getSize());System.out.println("heap2: " + heap2.getSize());System.out.println("equals? " + heap1.equals(heap2));heap1.remove();System.out.println("heap1: " + heap1.getSize());System.out.println("heap2: " + heap2.getSize());System.out.println("equals? " + heap1.equals(heap2));}public static class Heap> implements Cloneable {// Write your code here} Suppose you bought 10 bonds exactly 8 years ago. The bonds have a face value of $1,000 and a coupon rate of 5.6%. You bought them at a price of $976.34 each. Today, they are selling for $945.61 each. What is the percentage return on your investment? 42.74% 9.17% 6.02% 36.15%