Harriett baked 3 cakes. She cut each cake into equal-size pieces. Each piece was 1/ 9 of the cake. What was the total number of pieces after Harriett cut these cakes?

Answers

Answer 1
3x9=27, so if each cake has 9 pieces, it would be 27

Related Questions

What is the value of 994 1/3 According binomial theorem?

Answers

The value of 994 to the power 1/3 is 9.97.

The binomial theorem involves the method of expanding an expression which is raised to a finite power. A binomial theorem has its application in probability, algebra, etc.

A binomial expression is said to have two dissimilar terms.

The total number of terms in (x + y)ⁿ are n+1.

The expansion of (1 + x)ⁿ can be written as,

(1 + x)ⁿ = 1 + nx + [n*(n-1)]/2! x² + [n*(n-1)*(n-2)]/3! x³ + ....

Let us find the value of 994 to the power 1/3,

⇒ (993 + 1)¹/³

⇒ 1 + 993/3 + 993* 993* [1/3* (-2/3)]/2! + 993* 993* 993* [1/3* (-2/3)* (-5/3)]/3! + ...

⇒ 1 + 331 - 54780.5 + 60441151.67 - ...

⇒ 9.97

Thus, the required value is 9.97.

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Statements and Reasons

Answers

1) Quadrilateral [tex]ABCD[/tex] with diagonal [tex]\overline{AEC}[/tex] bisecting [tex]\angle DAB[/tex], [tex]\overline{BE}[/tex], [tex]\overline{DE}[/tex], [tex]\angle 1 \cong \angle 2[/tex] (given)

2) [tex]\angle BAE \cong \angle EAD[/tex] (definition of an angle bisector)

3) [tex]\overline{AE} \cong \overline{AE}[/tex] (reflexive property)

4) [tex]\triangle BAE \cong \triangle DAE[/tex] (AAS)

5) [tex]\overline{AB} \cong \overline{AD}[/tex] (CPCTC)

6) [tex]\overline{AC} \cong \overline{AC}[/tex] (reflexive property)

7) [tex]\triangle BAC \cong \triangle DAC[/tex] (SAS)

8) [tex]\overline{BC} \cong \overline{DC}[/tex] (CPCTC)

Lamonte earned $269.10 at his job when he worked for 13 hours. How much money did he earn each hour?

Answers

Answer:

Step-by-step explanation:

To solve this problem, we need to divide the total amount of money Lamonte earned ($269.10) by the number of hours he worked (13 hours).

We can write this as an equation as follows:

earnings per hour = $269.10 / 13 hours

To solve for earnings per hour, we can divide both sides of the equation by 13:

earnings per hour = $269.10 / 13 hours / 13 = $269.10 / 13^2 = $269.10 / 169 = $1.60

Therefore, Lamonte earned $1.60 per hour.

Lamonte earned $20.70 per hour. Just do this by taking 269.10 and dividing it by 13.

Convert 39 cups into cubic feet. Round your answer to the nearest hundredth.

Answers

Answer: 0.34 cubic feet

The sum of present age of father and son is 50years.After 5years the age of father is thrice the age of son .Find their present age

Answers

Answer:

age of father is 40 and son is 10

Step-by-step explanation:

let age of father be x

and age of son is y

At present,

x+y=50 eq 1

After 5 years,

Ages are,

Father = x+5

Son = y+5

As age of father is thrice so,

x+5 = 3(y+5)

x+5 = 3y+15

x-3y= 10 eq 2

Multiply eq 1 by 3

3x + 3y = 150 eq 3

Now, Add eq 2 and 3

4x = 160

x = 40 .................... ....... Age of father

Put x in eq 1

40 + y = 50

y = 10 ......................... Age of Son

f central pennsylvania had a really dry year, and received only one-third of our usual rainfall, we would be just dry enough to be a called a desert if such dry years stayed for a long time. how much rainfall per year would we be receiving per year then? (in an average year, pennsylvania gets about the same amount

Answers

Approximately 3.3 inches of rainfall per year.

If central Pennsylvania received only one-third of the usual rainfall in a really dry year, it would be receiving 1/3 * the usual amount of rainfall per year.

In an average year,

     Pennsylvania gets about the same amount of rainfall as a desert, which is typically defined as an area that receives less than 10 inches of precipitation per year.

Therefore, if central Pennsylvania received only one-third of the usual amount of rainfall in a really dry year, it would be receiving,

   1/3 * 10 inches = approximately 3.3 inches of rainfall per year.

This amount of rainfall is significantly less than the average rainfall in Pennsylvania and would qualify as a desert if it persisted over a long period of time.

Hence, Approximately 3.3 inches of rainfall per year.

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If 10x +5 = 100, is x greater than 10 or less than 10? Without solving the equation, explain how you
know.

Answers

If 10x +5 = 100, then x  is less than 10 without solving the equation, x will be multiplied with 10, and if 10 is mulptiplied with 10, it will givess 100, then 100 plus 5 will give 105 which is more than 100.

How can this be calculated?

given the equation as 10x +5 = 100

then the equation can be rearranged as 10x = 100 - 5

this can be rearranged  by substracting 5 from 100, which is

10x = 95

then we can make x the subject of the formula as

x=95/10

= 9.5

hence x= 9.5

Therefore, if 10 is mulptiplied with 10, it will givess 100, then 100 plus 5 will give 105 which is more than 100.

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How do you prove AAS congruence?

Answers

To prove AAS congruence, we need to show that the angles and included sides of the two triangles are equal.

For example, consider two triangles ABC and DEF. If we know that ∠A = ∠D, ∠B = ∠E, and BC = DE, we can use the AAS theorem to conclude that triangle ABC is congruent to triangle DEF. To prove this congruence, we can set up the following system of equations:

∠A = ∠D∠B = ∠EBC = DE

Solving this system of equations will show that all of the angles and included sides of the two triangles are equal, thereby proving that the triangles are congruent.

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For what value of A is x 5 a factor of x³ 3x² ax 10?

Answers

The Value of a for which (x - 5) is a factor of x³ -3x² +ax -10 is a = -8   .

The Equation is given as x³ -3x² +ax -10 ;

the factor of the above equation is given as (x - 5) ;

Since (x - 5) is given to be a factor ,

we have , x - 5 [tex]=[/tex] 0 ;

On solving  ,

we have , x = 5 .

For (x - 5) to be a factor of x³ -3x² +ax -10 ,

x = 5 should satisfy the given equation .

that means ; (5)³ -3(5)² +a(5) -10 = 0 ;

⇒ 125 - 3×25 + 5a - 10 = 0 ;

⇒ 125 - 75 + 5a - 10 = 0 ;

⇒ 50 + 5a - 10 = 0 ;

⇒ 40 + 5a = 0 ;

⇒ 5a = -40 ;

dividing both sides by 5 ,

we get ;

a = -40/5 = -8 .

Therefore , the value of a is  "-8" .

The given question is incomplete , the complete question is

For what value of a is (x - 5) a factor of x³ -3x² +ax -10 ?

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How much paint do I need for 2200 square feet?

Answers

6 cans are needed to paint an area of 2200 units square.

The cans of paints and areas are illustrations of equivalent ratios.

The quantity of paint required for a certain area of house can be found out using the area of the house.

As the area is given in this problem, it is easier to calculate the amount of paint.

The given parameter is,

Cans: area = 1: 400

Putting it in the form of fraction,

Cans/area = 1/400

Cross multiplying, we have,

Cans = 1/400 × 2200 = 5.5 ≈ 6

Thus, 6 cans are needed to paint a 2200 square feet.

The question is incomplete. The complete question is 'How many cans of paint are needed to cover an area of 2200 square units if one can of paint covers in area 400 square units.'

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if f(x)=(2x)^2, find f(-4)

Answers

Answer:

y=32

Step-by-step explanation:

substitute x for (-4)

(2 x -4)^2= 32

A candy machine contains over 1{,}0001,0001, comma, 000 pieces of candy, 30\%30%30, percent of which are blue. Customers get an srs of 151515 candies in a purchase. Let x=x=x, equals the number of blue candies that a random customer gets in a purchase.

Answers

The mean and the standard deviation of the data of the purchase are 4.5 and 1.8 respectively.

According to the question we can interpret that either the candy will be blue or it will not be blue. We use the method of Binomial distribution because the probability of getting a blue candy is not dependent on any other candy. The formula for expected value of the distribution will be

Expected value = E(X) = np

The standard deviation will be

SD = √(np(1 - p))

Now, from the question, n = 15 and the value of p = 30% = 0.3

putting these values we get

Expected value = E(X) = 15×0.3 = 4.5

SD = √(15×0.3(1 - 0.3))

SD = √4.5×0.7

SD = 1.8

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Complete Question:

A candy machine contains over 1,000 pieces of candy, 30% of which are blue. Customers get an SRS of 15 candies in a purchase. Let X= the number of blue candies that a random customer gets in a purchase. Find the mean and standard deviation of X. You may round your answers to the nearest tenth.

4(2x + 5) = [ ]x + [ ]

rewrite using the distributive property

Answers

Answer:

Step-by-step explanation:

first you do 4 x 2x=8x

next you do 4 x 5=20

then you get 8x + 20  :)

What is the variance if the standard deviation is 4?

Answers

Standard deviation is the root of variance, hence the variance is 16.

Which strategy can be used to prove that the diagonals of a parallelogram bisect each other?.

Answers

The strategy that can be used to prove that the diagonals of a parallelogram bisect each other is congruent triangles .

Given :

Let ABCD is a parallelogram with midpoint M .

To prove that he diagonals of a parallelogram bisect each other we have to go through the following steps:

Angle DBA is congruent to angle BDC.

Angle CMD is congruent to angle AMB.

Triangle CMD is congruent to triangle AMB.

Segment AM is congruent to segment MC.

M is the midpoint of segment AC.

Segment BD bisects segment AC.

Segment BM is congruent to segment MD.

M is the midpoint of segment BD.

Segment AC bisects segment BD.

Hence we have to use the concept of congruent triangles in order to prove that the diagonals of a parallelogram bisect each other.

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How many real zeros does this graph have?

Answers

Answer:

3

Step-by-step explanation:

Real zeros are the times when the graph intercepts the x-axis or, in other words, when y = 0.

In this graph, the polynomial intercepts the horizontal (x) axis 3 times!

This means there are 3 real zeros.

What are some domain examples?

Answers

The allowable set of values makes up a function's domain. The set of authorized values is the domain of a function.

what is domain ?

The set of authorized values is the domain of a function. The x values of a function, like f, are included in this collection (x). The collection of such values serves as a representation of the range of values that can be used as input for a function. The function returns this set of values when we enter an x value.

here ,

Consider the function represented by y = f(x), where x and y are independent variables. If a function f provides a method of efficiently generating a single value y while employing a value for x to that end, the selected x-value is said to fall inside the domain of f.

The range of values that a function can accept is referred to as the domain.

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HELP
Michelle jogs 3 miles in 36 minutes. At the same rate, how many miles would she jog in 60 minutes?
A. 6.5

B. 6

C. 4.5

D. 5
Explain you work pls

Answers

Answer:

d) 5 miles

Step-by-step explanation:

Minutes for jogging 1 mile is,

→ 36/3

→ 12 minutes

Formula we use,

→ Total time ÷ Time needed for 1 mile

Then the distance she cross in 60 min,

→ 60 ÷ 12

→ 5 miles

Hence, she will cross 5 miles.

The diameter of a circle is 6 meters. What is the length of a 30° arc?

Answers

The length of a 30° arc of a circle with a diameter of 6 meters can be calculated using the formula L = θ/360 * π * d, where L is the length of the arc, θ is the angle of the arc in degrees, d is the diameter of the circle, and π is the mathematical constant approximately equal to 3.14. Plugging in the values given in the question, we get L = 30/360 * 3.14 * 6 = 3.14 meters. So, the length of the 30° arc is approximately 3.14 meters.

Answer number 2 or number 3 thank you

Answers

Jose can build a wall in 10 hours. Frank can build the same wall in 15 hours. If they work together, they can paint wall in 6 hours.

Define LCM.

The least common multiple, or LCM, of two numbers, such as a and b, is written as LCM in mathematics (a,b). The smallest or least positive integer that is divisible by both a and b is known as the LCM. Finding the prime factors of the provided integers and determining the least common multiple are both steps in the prime factorization process (LCM). For instance, use the prime factorization to couple the multiples that are shown to determine the least common multiple of 12 and 16. Together with the other multiples, list them.

Given,

Jose can build a wall in 10 hours

Frank can build the same wall in 15 hours

Together they can paint in,

Taking LCM

1/10 + 1/15

3/30 + 2/30

5/30

1/6

Time taken = 6 hours

If they work together, they can paint wall in 6 hours.

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How do you solve log2 value?

Answers

We solve log2 value by following logarithm laws.

What is logarithm?

Logarithm is the alternating way of expressing an exponent. The power at which a number is needed to raise so as to obtain the other values is called logarithm.

What does mean by log2?

log2 is termed as log base 2 or binary logarithm. It is called the inverse of the power of two function.

How do we solve log2?

As stated earlier that Log base 2 is an inverse expression of the power 2.

Suppose N is a real positive number and x is the number of exponents.

Now, logarithm form of this exponent is written

as log2 N = x

2∧x = N

Besides, we can directly get the log2 value by using calculator.

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Which financial tool is most important?

Answers

The financial tool that is most important is creating a budget.

What is the financial toll about?

The ideal financial instrument for long-term planning objectives is You'll be able to set away money each week or month with the use of a budget.

You may track where your money is going and determine how much you have to spend on items besides expenses by utilizing a budget.

A budget can help you prioritize your spending and saving, and ensure that you have enough money set aside to reach your goals. Here is a step-by-step explanation of how to create a budget:

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the primary function of jails is to: group of answer choices a. hold persons for less than 1 year. b. hold persons for more than 1 year. c. hold persons for more than 5 years. d. hold persons for more than 10 years.

Answers

The jail's function is to hold inmates (A) for terms that are shorter than a year.

What do we mean by jails?

A prison sometimes referred to as a jail, jail, penitentiary, detention center, correction center, correctional institution, lock-up, hoosegow, or remand center, is a place where people are imprisoned against their choice and typically denied a range of freedoms as retribution for various offenses.

The only purpose of a jail is to house inmates for a period of time shorter than a year.

With very few exceptions, modern jails are municipal or county-level detention centers run by local police departments or correctional facilities.

Like their historical forebears, they are employed to hold those who pose a flight risk or a threat to public safety while they await trial.

Therefore, the jail's function is to hold inmates (A) for terms that are shorter than a year.

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John deposits $500 into a CD that compounds interest monthly. The account pays 5.2% interest. How much is in the account after 2 non-leap years?

Answers

By using compound interest, there will be$554.68in the account after 2 years.

What is compound interest?

Compound interest is interest that is calculated on the original principal of a loan or deposit, as well as on any accumulated interest from previous periods.

What is the formula to calculate the compound interest?

Compound interest is calculated using the following formula:

Compound interest = P * (1 + r/n)^(nt) - P

To calculate the total amount in the account after 2 years, we can use the following formula:

Total amount = P * (1 + r/n)^(nt)

In this formula, P is the principal amount (the initial deposit of $500), r is the annual interest rate (5.2%), n is the number of times that interest is compounded per year (12 in this case, since the interest is compounded monthly), and t is the number of years for which the interest is compounded (2 in this case).

Substituting the given values into the formula, we get:

Total amount = $500 * (1 + 0.052/12)^(12*2) = $554.68

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What are the factors of x³ Y³?

Answers

The factor for (x³ + y³) is (x+ y) (x² + y²  - xy).

and,  factor for (x³ - y³) is (x - y) (x² + y² + xy)

What are Factors?

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

Given:

(x³ + y³) or (x³ - y³)

Now using Algebraic identities we have

(x³ + y³)

Using (x+ y)³ = x³ + y³ + 3xy(x+ y)

(x+ y)³ -  3xy(x+ y)= x³ + y³

x³ + y³= (x+y)[ (x+y)² - 3xy]

x³ + y³ = (x+ y) [ x² + y² + 2xy - 3xy]

x³ + y³ = (x+ y) (x² + y²  - xy)

and, (x³ - y³)

Using (x- y)³ = x³ - y³ - 3xy(x+ y)

(x - y)³ +  3xy(x- y)= x³ - y³

x³ - y³= (x-y)[ (x-y)² + 3xy]

x³ - y³ = (x - y) [ x² + y² - 2xy + 3xy]

x³ - y³ = (x - y) (x² + y² + xy)

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Sofia is 1. 35 meters tall. At 11 a. M. , she measures the length of a tree's shadow to be 23. 55 meters. She stands 18. 1 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.

Answers

The height of the tree, calculated according to the details of shadow and Sofia's height, to the nearest hundredth of a meter is 5.83 meters.

The tangent of angle of elevation will be equal to the ratio of height of tree ÷ distance from the tip shadow. The tangent will be same for both tree and the girl. Le the height of tree be x.

x/23.55 = 1.35/(23.55-18.1)

Performing subtraction on Right Hand Side of the equation

x/23.55 = 1.35/5.45

Rewriting the equation with x

x = (1.35×23.55)/5.45

Performing multiplication on Right Hand Side of the equation

x = 31.79/5.45

Performing division on Right Hand Side of the equation

x = 5.83 meters

Thus, tree is 5.83 meters tall.

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3) n+ 5(n-1) = 7
4) 15=-2(2t - 1)

Answers

Let’s begin with question 3.

1. Simplify

n + 5n - 5 = 7
6n - 5 = 7

2. Add 5 to both sides

6n = 12

3. Divide by coefficient

n = 2

Onto question 4!

1. Simplify

15 = -4t + 2

2. Subtract 2 from both sides

13 = -4t

3. Divide by coefficient

t = -13/4

Answer:

3. n = 2

4. t = -13/4

Step-by-step explanation:

3)

. . . . (3a) Distribute (multiply) +5 into the expression (n-1)

. . . . . . . . [tex]n + 5n - 5 = 7[/tex]

. . . .  (3b) Add like terms (terms with the same variable)

. . . . . . . . [tex]6n - 5 = 7[/tex]

. . . . (3c) Add 5 on both sides of the equation to "get rid" of the -5

. . . . . . . . [tex]6n -5 +5 = 7 +5[/tex]

. . . . . . . . [tex]6n = 12[/tex]

. . . . (3d) Divide both sides by 6 to isolate the variable

. . . . . . . . [tex]6n/6 = 12/6[/tex]

. . . . . . . . [tex]n = 2[/tex]

4)

. . . . (4a) Distribute (multiply) -2 into the expression (2t-1)

. . . . . . . . [tex]15 = -4t + 2[/tex]

. . . . (4b) Subtract 2 on both sides of the equation to "get rid" of  the +2

. . . . . . . . [tex]15 -2 = -4t +2 -2[/tex]

. . . . . . . . [tex]13 = -4t[/tex]

. . . . (4c) Divide both sides by -4 to isolate the variable

. . . . . . . . [tex]13/-4 = -4t/-4[/tex]

. . . . . . . . [tex]-13/4 = t[/tex]

What is the answer for M 4 =- 12?

Answers

The expression be written as 4 × -3 = -12, which can be simplified to -3 × 4 = -12. Therefore, the answer for M4 = -12 is -3.

M4 = -12 is an algebraic expression that is asking us to solve for the value of M. To solve, we can start by rewriting the expression as 4 × -3 = -12. This can be simplified to -3 × 4 = -12.Now, it is easier to see that the value of M is -3. This is because when we multiply -3 by 4, we get -12. Since -12 is the same value as the original equation, M must be equal to -3.To summarize, M4 = -12 is an algebraic expression that can be simplified to -3 × 4 = -12. Solving for M, we end up with M = -3. This is because when we multiply -3 by 4, we get -12, which is the same value as the original equation.

M4 = -12

4 × -3 = -12

-3 × 4 = -12

M = -3

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Is it possible to make an equation from these two equations? If so, do they have infinite solutions, no solutions, or one solution?


Consider the mathematical sentence 2 = 2.

Is there any variable or constant that you could add to or subtract from both sides, or multiply or divide both sides by using the Properties of Equality to make this true sentence false? Choose variables and constants to create new mathematical sentences to justify your conclusion


Consider the mathematical sentence 2 ≠ 3.

Is there any variable or constant that you could add to or subtract from both sides, or

multiply or divide both sides by using the Properties of Equality to make both sides equal? Choose variables and constants to create new mathematical sentences to justify your conclusion.

Answers

Answer:

For the equation 2 = 2, it is not possible to make this equation false by using the Properties of Equality. This is because the equation is already true, and any manipulation of the equation using the Properties of Equality would not change this fact. Therefore, this equation has one solution.

For the equation 2 ≠ 3, it is not possible to make both sides equal by using the Properties of Equality. This is because the equation is stating that the two sides are not equal, and any manipulation of the equation using the Properties of Equality would not change this fact. Therefore, this equation has no solutions.

the random() method generates numbers greater than or equal to 0 and less than 1. group of answer choices true false

Answers

True. The random() method is a function that generates a random floating-point number between 0 (inclusive) and 1 (exclusive).

This means that the generated number will be greater than or equal to 0 and less than 1. For example, a call to random() might return a value like 0.342341, 0.859203, or 0.000001.

Here is an example of how the random() method can be used in Python to generate a random float between 0 and 1:

import random

# Generate a random float between 0 and 1

x = random.random()

print(x)

The output of this code might be something like 0.342341 or 0.859203.

Therefore, it's true that The random() method is a function that generates a random floating-point number between 0 (inclusive) and 1 (exclusive).

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This means that the generated number will be greater than or equal to 0 and less than 1. For example, a call to random() might return a value like 0.342341, 0.859203, or 0.000001.

Here is an example of how the random() method can be used in Python to generate a random float between 0 and 1:

import random

# Generate a random float between 0 and 1

x = random.random()

print(x)

The output of this code might be something like 0.342341 or 0.859203.

Therefore, it's true that The random() method is a function that generates a random floating-point number between 0 (inclusive) and 1 (exclusive).

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According to the New Classical economists, which of the following more than likely caused housing prices to fall after the media reported about the subprime mortgage crisis? O neoclassical theory O cyclical expectations O rational expectations What is the correct chronological order of the 3 steps of translation from mRNA to a polypeptide? What is the Eightfold Path also known as? What was the purpose of the TVA New Deal? T/F when making a decision in the presence of uncertainty, decision makers should only be interested in the average, or expected, outcome. Which statement about the number of protons and neutrons in a nuclear change is correct?ResponsesThe total charge before and after the change remains the same, but the total atomic mass is different.The relative numbers of protons and neutrons are the same before and after the change.The relative numbers of protons and neutrons can differ before and after the change, but the total number of those particles remains the same.The total atomic mass before and after the change remains the same, but the total charge is different. FILL IN THE BLANK. tissue rejection after an organ transplant is least likely due to the action of _________. x557x55 is divisible by 11. find the value of x help me with task II , Which account type is best for savings? a force produces power p by doing work w in a time t what power will be produced by a force that Duncan works at a banquet hall and is setting tables for a wedding reception. He starts with a pile of 144 salad plates, and he places 10 salad plates on every table he sets. Write an equation that shows how the number of salad plates remaining, y, depends on the number of tables Duncan sets, x. Which principle of building fitness involves gradually increasing the demands on your body? (a) Specificity, (b) Overload, (c) Progression, (d) Regularity. Hi! i need some help:) Describe the path of an oocyte from ovary to fertilization please! What is the process of reapportionment and redistricting? How many cells contain the same text as the red oval? Chapter 6. How Cells Read the Genome: From DNA to Protein Explain how operations management activities affect the customer experiences described in the anecdote at the beginning of chapter 1. What "moments of truth" would a customer at Disney World encounter? Think about the total experience including lodging, food service, shopping, and transportation, as well as theme park attractions and operations. Jin, age 29, is beginning to contemplate his financial future. Right now, he lives in a metro city where he has to walk to work. Although he loves the excitement of the city, he wants to buy a van as he has always dreamed of becoming a digital nomad. His goal is to begin saving for this objective right away. Jin has identified three possible portfolios that might be appropriate choices as he begins investing to reach his objective. Each portfolio consists of the following stocks, bonds, and cash assets. I Portfolio A 10% cash Portfolio B 15% cash Portfolio C 20% cash 20% bonds 40% bonds 50% bonds 70% stocks 45% stocks 30% stocks Assume that the average return of each asset is as follows: Stocks 10%, bonds 5%, and cash 2%. Portfolio A Portfolio B Portfolio C Asset Rate of Class Asset Weighted Return Asset Weighted Allocation Return Asset Weighted Return Allocation Allocation Return Cash 2% 10% (a) 15% (d) 20% (g) Bonds 5% 20% (b) 40% (e) 50% (h) Stocks 10% 70% (c) 45% (f) 30% (i) Portfolio Return (1) (11) *Note1: Weighted Return (Asset Class Rate of Return) x (Asset = Allocation) Note2: Portfolio Return = Sum of Portfolio's Weighted Return. 1. Calculate the weighted average rate of return for each portfolio. Which of the following is correct? (Hint: you need to calculate weighted returns of (a)-(i). Then identify portfolio returns of (1), (II), and (III)). Portfolio A: 8.2%, Portfolio B: 6.8%, Portfolio C: 5.9% Portfolio A: 8%, Portfolio B: 6.4%, Portfolio C: 5.4% Portfolio A: 7 %, Portfolio B: 4.5%, Portfolio C: 3% Portfolio A: 7.3%, Portfolio B: 6.3%, Portfolio C: 5.45%