Desmond is 2 inches taller than Niki. If we let w represent Nikis height in inches, write an algebraic expression for Desmonds height. Enter your answer as an expression. Example: 3x^2+1

Answers

Answer 1

Answer:

w + 2

Step-by-step explanation:

Niki's height = w in

Desmond height = w + 2

Answer 2

Answer:

w+2

Step-by-step explanation:

Since Desmonds is 2 inches taller than Niki, w+2 would make the most sense.


Related Questions

Tuition for one year at the University of Atlantis costs $12,000 per year. Rachel would like to attend this university and will save money each month for the next 3 years. Her parents will contribute $3,000 for her first year's tuition. How much money will Rachel need to save each month to have enough money for the first year of college at the University of Atlantis?

Answers

Answer:

250 dollars per month.

Step-by-step explanation:

We first need to subtract the amount of money her parents are giving her.

12000-3000=9000.

Since she is saving money every month for 3 years we have to multiply 3×12=36 months.

We than need to divide how much money she needs by the amount of months she has to get it.

9000÷36=250

find y of a paralagram

Answers

Answer:

y = 15

Step-by-step explanation:

In a parallelogram, opposite sides are congruent.

5y - 20 = 2y + 25

3y = 45

y = 15

Answer:

y = 15

Step-by-step explanation:

The top and bottom sides have to be equal in length

5y-20 = 2y+25

Subtract 2y from each side

5y-2y-20 = 2y-2y+25

3y -20 = 25

Add 20 to each side

3y = 20+25

3y = 45

Divide each side by 3

3y/3 = 45/3

y = 15

As part of a chemistry experiment, Barry is making a mixture of two solutions. He uses 4 cups of solution A for every 2 cups of solution B. The table below shows the numbers of cups he uses of solution A and solution B. Solution A (cups) Solution B (cups) 4 2 8 4 12 6 16 8 Using the information from the table, choose the correct statement. A. The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3. B. The ratio of the number of cups of solution A to the total number of cups of the mixture is 3:2. C. There are 3 cups of solution A for every 6 cups of mixture. D. For each cup of solution A, there are 2 cups of solution B.

Answers

Answer:

A. The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3

Step-by-step explanation:

Solution A= 4 cups

Solution B= 2 cups

Total cups of the mixture=4+2=6

A. The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3.

Solution A= 4 cups

Mixture=6 cups

Solution A : Mixture =4 : 6

=2:3

Option A is true

B. The ratio of the number of cups of solution A to the total number of cups of the mixture is 3:2.

Solution A= 4 cups

Mixture=6 cups

Solution A : Mixture =4 : 6

=2:3

Option B not true

C. There are 3 cups of solution A for every 6 cups of mixture.

Option C states that:

Solution A=3 cups

Mixture=6 cups

Solution A : Mixture=3:6=1:2

This is not true

D. For each cup of solution A, there are 2 cups of solution B.

Option D states:

Solution A= 1 cups

Solution B= 2 cups

This is not true

It is rather

Solution A= 2 cups

Solution B= 1 cups

Therefore, option A. The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3 is the correct statement

Multiply. √6x⋅√15xy⋅√20 Please answer as quickly as possible

Answers

Answer:

[tex]30x\sqrt{2y}[/tex]

Step-by-step explanation:

First, multiply sqrt.(6x) by sqrt.(15xy)

That equals sqrt.[tex]\sqrt{90x^{2}y } *\sqrt{20}[/tex]

then, rewrite [tex]90x^{2} y[/tex] as (3x)^2 * (10y)

you have [tex]\sqrt{(3x)^{2} *(10y)} *\sqrt{20}[/tex]

Next, pull the terms from out under the radical, to get:

[tex]3x\sqrt{10y} *\sqrt{20}[/tex]

Now rewrite 20 as 2^2 * 5

You get [tex]3x\sqrt{10y} *(2\sqrt{5} )[/tex]

Multiply everything together to get: [tex]6x\sqrt{50y}[/tex]

Now rewrite 50 y as 5^2 * 2y

You end up with [tex]6x\sqrt{5^{2}*(2y)}[/tex]

Then, pull out the terms from under the radical.  You get:

[tex]6x(5\sqrt{2y})[/tex]

Finally, multiply the 5 and 6 together to get: [tex]30x\sqrt{2y}[/tex]

Answer:

[tex]\boxed{30\sqrt{2} x^2 y}[/tex]

Step-by-step explanation:

[tex]\sqrt{6} *x*\sqrt{15} * x*y*\sqrt{20}[/tex]

[tex]\sf Multiply[/tex]

[tex]\sqrt{6}\sqrt{15}\sqrt{20}*x*x*y[/tex]

[tex]\sqrt{6*15*20}*x^2 *y[/tex]

[tex]\sqrt{1800}x^2y[/tex]

[tex]\sf Simplify[/tex]

[tex]\sqrt{900} \sqrt{2} x^2y[/tex]

[tex]30\sqrt{2} x^2 y[/tex]

(10 PTS) How do I solve for this? Please show work

Answers

Answer:

4

Step-by-step explanation:

8 ^ 2/3

Rewriting 8 as 2^3

( 2^3) ^ 2/3

We know that a^ b^c = a^ (b*c)

2 ^ ( 3 * 2/3)

2 ^ 2

4

03. O preço a ser pago por uma corrida de táxi inclui uma parcela fixa, denominada bandeirada, e uma parcela que depende da distância percorrida. Se a bandeirada custa R$ 3,20 e cada quilômetro rodado custa R$ 1,50, qual o valor de v a pagar em uma corrida de n quilômetro? * 1 ponto a) v = 1,50 + 3,20n b) v = 3,20.N c) v = 3,20.N - 1,50 d) v = 3,20 + 1,50n e) v = 1,50n

Answers

Answer: d) v = 3.20 + 1.50n.

Step-by-step explanation:

Let 'v' be the price to pay in a 'n' kilometer.

Given: The price to be paid for a taxi ride includes a fixed parcel, called a flag, and a parcel that depends on the distance traveled.

Flag costs = $ 3.20 and

Each kilometre run costs = $ 1.50

Then, the amount of 'v' to pay in a 'n' kilometer race = Flag costs +   (n)× (Each kilometre run costs )

⇒ v= 3.20 + 1.50n

Hence, the correct option is  d) v = 3.20 + 1.50n.

A prisoner is trapped in a cell containing 3 doors. The first door leads to a tunnelthat returns him to his cell after 2 days’ travel. The second leads to a tunnel thatreturns him to his cell after 4 day’s travel. The third door leads to freedom after 1day of travel. If it is assumed that the prisoner will always select doors 1,2,and 3with respective probabilities 0.5,0.3, and 0.2, what is the expected number of daysuntil the prisoner reaches freedom?

Answers

Answer:

2 days

Step-by-step explanation:

Expected number of days until prisoner reaches freedom=E(x)=?

E(x)=x*p(x)

Where x is the number of days and p(x) is the probability associated with them.

X    1    2    3

P(x) 0.5 0.3 0.2

E(x)=1*0.5+2*0.3+3*0.2

E(x)=0.5+0.6+0.6

E(x)=1.7.

Thus, the expected number of days until prisoner reaches freedom are 2 days.

PLEASE HURRY!!!!! Simplify the expression. (x – 4x2 + 7) – (-5x2 + 5x – 3)

Answers

Answer:

[tex]x^{2}-4x+10[/tex]

Step-by-step explanation:

[tex](x-4x^{2}+7)-(-5x^{2}+5x-3)\\x-4x^{2}+7+5x^{2}-5x+3\\x^{2}-4x+10[/tex]

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Let's simplify step-by-step.

[tex]( x - 4x^2 + 7 ) - ( -5x^2 + 5x - 3)[/tex]

Distribute the Negative Sign:

[tex]= x - 4^2 + 7 + -1 ( -5x^2 + 5x -3) \\= x + -4x^2 + 7 + -1 ( -5x^2) + -1 (5x) + ( -1) (-3)\\= x + -4x^2 + 7+ 5x^2 + -5x + 3[/tex]

Combine Like Terms:

[tex]= x + -4x^2 + 7 + 5x^2 + -5x + 3 \\= (-4x^2 + 5x^2) + ( x + -5x) + ( 7 + 3) \\= x^2 + -4x + 10[/tex]

Answer : [tex]\boxed {x^2 -4x + 10}[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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Have a great day/night!

❀*May*❀

Find the value of p.

Answers

Answer:

[tex]\huge\boxed{p = 3}[/tex]

Step-by-step explanation:

7p + 7 = 37 - 3p (They both are equal)

7p + 3p = 37-7

10p = 30

Dividing both sides by 10

p = 3

Answer:

p=3

Step-by-step explanation:

7p+7=37-3p

7p[+3p]+7=37-3p[+3p]

10p+7=37

10p+7[-7]=37[-7]

10p=30

10p/10=30/10

p=3

I hope this helps!

What is difference between internal and external trade ​

Answers

Answer:

Trade which takes place inside a country is known as internal trade. If trade takes place with other countries of the world, it is known as external trade.

Step-by-step explanation:

Answer:Internal refers to trade within the country itself while

External refers to trade with other countries whether foreign or bordering countries

Step-by-step explanation:

''Internal'' trade-Trade within the locals of the country itself

''External'' trade-refers to ;outside of the country...trade with other countries

A bag has six balls labeled a,b,c,d.e and f . One ball will be randomly picked, and its letter will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of choosing the letter a or c . If there is more than one element in the set, separate them with commas.

Answers

Sample space = {a,b,c,d,e,f}Event space = {a,c}

We simply list all of the letters mentioned as they are the possible outcomes. We can only pick one item from the sample space. The event space is the set of outcomes where we want to happen (picking either an 'a' or 'c').

Hey There!!

To this Question, This answer going to had A Explanation to this: Sample space--

A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.

i.e. the sample space while flipping a coin is: {H,T}

The sample space while tossing a six-sided die is: {1,2,3,4,5,6}

Here it is given that:

A bag has six balls labeled: A,B,C,D,E,F

One ball will be randomly picked, and its letter will be recorded as the outcome.

This means that the sample space is given by:

Sample space={ A,B,C,D,E,F}

Now, when the event is choosing a letter from D to F.

Then the sample space is:

Sample space= {D,E,F}

Hope It Helped!~ ♡

ItsNobody~ ☆

the top of a square table is144 squared metres.what is the size of the table

Answers

Answer:

12 meters x 12 meters

Step-by-step explanation:

√144 = 12

4n-6 (n - 2) = -24 + 7n
O No Solutions
O All Real Numbers
O n = 4
O n = 2.9

Answers

N=4

4n-6 (n-2) = -24 + 7n

You first multiply the six with the equation in the parentheses making it:

4n-6n + 12= -24 + 7n

You then subtract 4n from -6n changing it to:

-2n + 12 = -24 + 7n after that you switch the 12 and 7n so that the equation can be

-2n -7n = -24 - 12

After that combine the numbers together:

-9n = -36

Then divide both sides by -9 making

n= 4

Triangle L J K is shown. Angle J L K is a right angle. The length of the hypotenuse is 15 inches and the length of the side adjacent to the right angle is 10 inches. The angle between the 2 sides is x. Which equation can be used to find the measure of angle LJK? sin(x) = Ten-fifteenths sin(x) = Fifteen-tenths cos(x) = Ten-fifteenths cos(x) = Fifteen-tenths

Answers

Answer:

  cos(x) = Ten-fifteenths

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the relation between the adjacent side and the hypotenuse is ...

  Cos = Adjacent/Hypotenuse

  cos(x) = 10/15

Answer:

c

Step-by-step explanation:

Please help me answer this question. -15 - g/3 = -5.
What is g?​

Answers

Answer:

g = -30

Step-by-step explanation:

-15 - g/3 = -5

Add 15 to each side

-15+15 - g/3 = -5+15

-g/3=10

Multiply by -3 to each side

-g/3 * -3  = 10*-3

g = -30

Answer:

g= -30

Step-by-step explanation:

after writing down the problem, multiply both sides of the equation by 3 to get  -45-g= =15. then subtract 15 from both sides to get g=-30, which is your answer. hope this helps!

Please answer this question now

Answers

Answer:

65.94 square inches

Step-by-step explanation:

Surface area of a cone=πr(r+√h^2+r^2)

π=3.14

r=diameter/2

=14/2

=7 in

h=?

h=a

To find h using Pythagoras theorem

c^2 = a^2 + b^2

14^2 = a^2 + 7^2

14^2 - 7^2= a^2

196-49=a^2

147=a^2

Square root both sides

√147=√a^2

12.12=a

a=12.12 in

Surface area of a cone=πr(r+√h^2+r^2)

=3.14(7+√12.12^2+7^2)

=3.14(7+√147+49)

=3.14(7+√196)

=3.14(7+14)

=3.14(21)

=65.94 square inches

A plumber’s apprentice needs to cut a 54-inch length of pipe so that one piece is twice the length of the other piece. How far from the endpoint should the apprentice cut the pipe?

Answers

Answer:

18 inches

Step-by-step explanation:

To to this you would just divide 54 by 3 and you would get how far away from the endpoint which is 18 inches

Plug in the values from the set {12, 15, 18, 19} to find the value of x. The value that holds true for the equation is . So, Jenny is years old and her mother is years old.

Answers

Answer:

Jenny´s age is 19 and her mother is 43.

Step-by-step explanation:

Given that

x + 2x + 5 = 62

where,

x = Jenny’s age

Now the following cases occured

a.  

x = 12

Now put the x value to the above equation

12 + 2(12) + 5 = 62

12 + 24 + 5 = 62

41 = 62

It is not equaled so the Jenny age is not 12

b.

x = 15

Now put the x value to the above equation

12 + 2(15) + 5 = 62

15 + 30 + 5 = 62

50 = 62

It is not equaled so the Jenny age is not 15

c.  

x = 18

Now put the x value to the above equation

18 + 2(18) + 5 = 62

18 + 36 + 5 = 62

59 = 62

It is not equaled so the Jenny age is not 12

d.

x = 19

Now put the x value to the above equation

19 + 2(19) + 5 = 62

19 + 38 + 5 = 62

62 = 62

It is equaled so the Jenny age is 19

Now the mother age is

as we know that

x + y = 62

19 + y = 62

y = 62 - 19

= 43

Also it proved that if we doubles the jenny age i.e 38 and then add 5 so the total is 43 i.e. equivalent to her mother age

What the correct answer now

Answers

Answer:

527.52 m²

Step-by-step explanation:

The surface area (A) of the cone is calculated as

A = area of base + curved area

   = πr² + πrl ( r is the radius and l the slant height )

   = 3.14 × 7² + 3.14 × 7 × 17

   = 3.14 × 49 + 3.14 × 119

    = 3.14(49 + 119)

     = 3.14 × 168

      = 527.52 m²

PLEASE HELPP on THIS PICTURE FOR ONE OF MY QUESTIONS

Answers

Answer:

Linear pair postulate

Step-by-step explanation:

The Linear Pair Postulate states: "If two angles form a linear pair, then the angles are supplementary; that is, the sum of their measures is 180 degrees

A linear pair of angles is such that the sum of angles is 180 degrees.

⚠️URGENT!!⚠️ PLEASE HELP ILL GIVE BRAINLIEST I PROMISE THE QUESTION IS ATTACHED BELOW I REALLY NEED HELP

Answers

Answer:

            m∠M = 116°               m∠N = 111°               m∠O = 64°               m∠P = 69°  

Step-by-step explanation:

A quadrilateral can be inscribed in a circle only if the sum of its opposite angles is equal to 180°, so:

7x - 15 + 3x + 15 = 180°      and      2(17y - 10) + 13y + 12 = 180°

     10x = 180°                                  34y - 20 + 13y + 12 = 180°

       x = 18°                                             47y = 188°

                                                                   y = 4°

m∠M:  2(17•4 - 10) = 2•58° = 116

m∠N:   7•18 - 15 =126 - 15 = 111

m∠O:   13•4 + 12 = 52 + 12 = 64  

m∠P:    3•18 + 15 = 54 + 15 = 69

please help me answer these in variable and constant terms 7s + 8s - 6h

Answers

Answer:

see below

Step-by-step explanation:

7s + 8s - 6h

7  8 and -6 are coefficients

s and h are variables

We can combine like terms

15s -6h

15 and -6 are coefficients and

s and h are variables

Answer:

Variable Terms:  (Alphabets)

s and h

Constant terms:   (Numbers)

No constants

Coefficient terms:  (Numbers with alphabets)

7 , 8 and -6

what is 2/3 divided by -1 1/3​

Answers

I think it is -0.5 because 2/3 is 0.66 repeated then I -1 1/3 equals - 1/3 so you just divide both and it equals -0.5

Complete the square to solve 4x2 + 24x = 4.

Answers

Answer:

x = - 3 ± [tex]\sqrt{10}[/tex]

Step-by-step explanation:

Given

4x² + 24x = 4 ( divide through by 4 )

x² + 6x = 1

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 1 + 9

(x + 3)² = 10 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{10}[/tex] ( subtract 3 from both sides )

x = - 3 ± [tex]\sqrt{10}[/tex]

Answer:

X=1/8

Step-by-step explanation:

Calculate the product 4x×2 + 24x = 4

Collect like terms 8x + 24x = 4

Divide both sides of the equation by "32" 32x = 4

Solution x = 1/8

I need help with #7 I got no clue what to do

Answers

x=3
Explanation
---------------------
12=4x
÷4 ÷4
---------------
3=x

A soccer team has 18 players. 5 of the players have scored at least 4 goals this season. Approximately what percent of the players have scored
at least 4 goals?
Select the best answer from the choices provided.
O A. 1596
OB.
30%
Ос.
6096
D
7596

Answers

Answer:30%

Step-by-step explanation:you divide 18 by 100 and then multiply that by 30 and it gives you 5.4 which is close to 5 players. So 30% is the answer


Two angles form a
linear pair. The
measure of one
angle is three times
the measure of the
other. Find the
measure of each

Answers

Answer:

45° and 135°

Step-by-step explanation:

A linear pair of angles sum to 180°

let one angle be x , then the other is 3x ( 3 times the other ), thus

x + 3x = 180

4x = 180 ( divide both sides by 4 )

x = 45

Thus the 2 angles are

x = 45° and 3x = 3 × 45° = 135°

The measure of two angles are 135 and 45 degrees if the two angles form a linear pair. The measure of one angle is three times the measure of the other.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

Two angles form a linear pair. The measure of one angle is three times the measure of the other.

As we know,

If two angles form a linear pair it means the angle made by the pair is 180 degrees

Let the two angles are x and y

x + y = 180

x = 3y  (one angle is three times the measure of the other)

Solving the two linear equations in two variable:

3y + y = 180

4y = 180

y = 180/4

y = 45 degrees

x = 3(45) = 135 degrees

Thus, the measure of two angles are 135 and 45 degrees if the two angles form a linear pair. The measure of one angle is three times the measure of the other.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

What is the slope of the line containing the midpoint of the segment with endpoints at (2, 4) and (0, -2) and the midpoint of the segment with endpoints at (5, 1) and (1, 5)?Express your answer in simplest form. Plzzzz help!!!!

Answers

Answer:

slope = 1

Step-by-step explanation:

midpoint of (2, 4) and (0, -2)

(2 + 0)/2 = 1 and (4 + -2)/2 = 1

(1, 1)

midpoint of (5, 1) and (1, 5)

(5 + 1)/2 = 3 and (1 + 5)/2 = 3

(3, 3)

slope = (3-1)/(3-1) = 2/2 = 1

f(x) = x2. What is g(x)?

pls help it’s due soon!!

Answers

Answer:

A. g(x) = (2x)²

Step-by-step explanation:

From the diagram of the two functions graph f(x) is the parent function and g(x) is the transformed function. you can see that the graph of g(x) is stretched vertically compared to the graph of g(x). The Parent function has y =1 corresponding to x =1 while for the transformed function when x = 1, y = 4 the graph is vertically stretched by a factor of 4, and horizontally The Parent function has y =1 corresponding to x =1. while for the transformed function when x = 0.5, y = 1, it is stretched  horizontally by 2 (√4), i.e

This means that g(x) = 4x² = (2x)²

The estimated product of 20.7 and 9.18, after rounding both factors to the nearest whole number, is . The exact product of 20.7 and 9.18 has decimal places.

Answers

Answer:

Estimated=189

Exact=190.026

Step-by-step explanation:

Estimated values

20.7 to nearest whole number= 21

9.18 to nearest whole number= 9

Product means multiplication

Estimated product of 20.7 and 9.18

=21×9

=189

Exact product of 20.7 and 9.18

=20.7 × 9.18

=190.026

It has 3 decimal places

Answer:

The estimated product of 20.7 and 9.18, after rounding both factors to the nearest whole number,

is

✔ 189

.

The exact product of 20.7 and 9.18 has

✔ 3

decimal places.

Step-by-step explanation: Hope this helps(:

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PLEASE PLEASE HELP!!!! What is the mass of a sample material that has a volume of 72.2cm and a density of 7.7g/cm? Find the value of p. Suppose that a password for a computer system must have at least 8, but no more than 12, characters, where each character in the password is a lowercase English letter, an uppercase English letter, a digit, or one of the six special characters , >, Net sales$688,500 $450,000 Cost of goods sold 337,364 133,200 Determine the 2016 and 2017 trend percents for net sales using 2016 as the base year. Violet light of wavelength 400 nm ejects electrons with a maximum kinetic energy of 0.860 eV from sodium metal. What is the binding energy of electrons to sodium metal? If a historian wanted to determine wether iron tools could be found in the ruins of an ancient African city, which kind of expert should he consult g If two events are mutually exclusive, what is the probability that both occur at the same time? a. 1.00 b. 0.00 c. Cannot be determined from the information given. d. 0.50 Messing Company has their own credit card and makes a credit sale on February 1 to one of its customers for $5,000. Prepare the February 1 journal entry for Messing Company by selecting the account names from the drop-down menus and entering the dollar amounts in the debit or credit columns. How are the parts of the story related to each other? How might this storys history as an oral story passed down over time have influenced its structure, particularly when compared to a written story? PLEASE HELPP on THIS PICTURE FOR ONE OF MY QUESTIONS All of the following statements regarding technical analysis are correct except A) technical analysts use terms such as trendline, support, and resistance in analyzing stocks. B) technical analysts rely on charts to predict the future prices of stocks. C) technical analysts rely heavily on financial ratios in their analysis of stocks. D) technical analysts attempt to predict the future movement of stock prices based on past trends. A United Nations report shows the mean family income for Mexican migrants to the United States is $26,500 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 24 Mexican family units reveals a mean to be $30,150 with a sample standard deviation of $10,560. State the null hypothesis and the alternate hypothesis. A small research project performed by a BSU graduate student showed that sample BSU students scored significantly higher than ISU students. Based on this study, the student assumed that she could pick any student from the BSU or ISU program and they would compare in the same way (BSU student would out perform the ISU student). This assumption is: Guardian Corporation has two major divisions-Healthcare Products and Pharmaceutical Products. It provides the following information for the year Pharmaceutical Division Healthcare Division $150,000 $47.000 $310,000 $1,000,000 $218,400 $5,660,000 13 0% sales ating income age assets Target rate of return 13 0% Calculate the residual income for the Healthcare Division. a. $47 000 b. $6700 c. $27.500 d. $103,000 solve for x, x=2.7(35)+1/2(-9.7)*35^2 In four to five sentences, give an example of a decision you made and its intended consequences. Then give an example of a decision you made that had unintended consequences. You are planning to save for retirement over the next 25 years. To do this, you will invest $880 per month in a stock account and $480 per month in a bond account. The return of the stock account is expected to be an APR of 10.8 percent, and the bond account will earn an APR of 6.8 percent. When you retire, you will combine your money into an account with an APR of 7.8 percent. All interest rates are compounded monthly. How much can you withdraw each month from your account assuming a withdrawal period of 20 years For a proton (mass = 1.673 x 1027 kg) moving with a velocity of 2.83 x 104 m/s, what is the de Broglie wavelength (in pm)? A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 445 gram setting. It is believed that the machine is underfilling the bags. A 12 bag sample had a mean of 442 grams with a standard deviation of 20. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. State the null and alternative hypotheses. Escriba un argumento de tres prrafos a favor o en contra de la idea de utilizar incendios controlados para proteger reas silvestres.