An arrow on a spinner is spun 250 times. Some of the results are shown below. The relative frequency of landing on a 4 is the same as the relative frequency of landing on a 5 Work out the relative frequency of landing on a 4

An Arrow On A Spinner Is Spun 250 Times. Some Of The Results Are Shown Below. The Relative Frequency

Answers

Answer 1

Answer:

11/50

Step-by-step explanation:

The frequency numbers for landing on 1, 2, and 3 are:

25, 53, 62.

We add them up to get: 25 + 53 + 62 = 140

Since 250 spins were made, and 140 of them landed on 1, 2, or 3, then

250 - 140 = 110,

so 110 landed on 4 or 5.

We are told the numbers of spins landing on 4 and 5 are equal, so

110/2 = 55,

so the spinner landed 55 times on 4 and 55 times on 5.

relative frequency = 55/250 = 11/50


Related Questions

Briana is excited because she has just been hired by a family to babysit on Saturdays. She’s looking forward to earning some extra spending money! The family will pay her $12 per hour for a maximum of 8 hours. Brianna makes a table to show her earnings for different numbers of hours. Help her complete the table.

Answers

List the hours from 1 to 8

Multiply the hours by how much she is paid per hour ( $12)

X: 1, 2, 3, 4, 5, 6, 7, 8

y: 12, 24, 36, 48, 60, 72, 84, 96

A car is traveling at a speed of 75 miles per hour. What is the car's speed in miles per minute? How many miles will the car travel in 20 minutes? Do not round your answers.

Answers

Answer:

1.25MilesPerMinute

Step-by-step explanation:

I Need the answer ASAP PLEASE HELPPPP What is 7/ 16 · 1 /2 ? A) 7/ 8 B) 7/ 32 C) 14/ 32 D) 7 /64

Answers

Answer:

B

Step-by-step explanation:

7/16 times 1/2 would be 7/32 because when you multiply fractions you multiply the top and the bottom like this

7 x 1

and 16 x 2

using this logic you can multiply both fractions to make

7/32

Answer:B) 7/ 32

alll you gotta do is multiply across and its already simplified

Trig work i don’t understand. pls help

Answers

Answer: A

Step-by-step explanation:

So we know that to find the area of a triangle you have to multiply the base times the height and divide it by two or multiply it by 1/2.Looking the information given it say that theta is equal to 26 degrees  and the length of a or the hypotenuse is 25 and b which in this case is the base is 32. So the information gives us the base but now we need to find the height.

To find  H we need to apply trigonometry solve for h the height.

As we could see theta which is 26 degrees is opposite the height and we know the hypotenuse length. So using soh cah toh we have to know that the length of h is  going to be using the sin formula opposite over hypotenuse.

[tex]sin(26)=\frac{h}{25}[/tex]    solve for h by multiplying both sides by 25.

h= 25 sin(26)

h= 10.96   is being rounded to the nearest hundredth because that is essential

Now we know H is equal to 10.96  which is the Height so now we have all the information we need the height and the base.

Multiply 10.96 by 32 and divide it by 2.

10.96 * 32 =  350.72

350.72 /2 = 176.36  

The best answer is A  because that is the only best approximation to 175.35.

Find the slope of the line that passes through (3, 6) and (6, 10). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

4/3

Step-by-step explanation:

To find slope use the formula (y2-y1)/(x2-x1)

In this case it is (10-6)/(6-3)

4/3

Pls help ASAP! Given a polynomial f(x), if (x − 1) is a factor, what else must be true? f(0)= 1 f(1)=0 f(-1)=0 f(0)=-1

Answers

Answer:

f(1) = 0

Step-by-step explanation:

If you set x - 1 equal to 0 and solve, you get x = 1 when y is 0

Answer: x+1 plus the fator

Step-by-step explanation:

Change 80265 gram to kilogram

Answers

Hey there! :)

Answer:

80.265 kg.

Step-by-step explanation:

1 kilogram = 1000 grams. Therefore:

[tex]\frac{80265g}{1} * \frac{1 kg}{1000g} = \frac{80265kg}{1000} = 80.265 kg[/tex]

80265 grams = 80.265 kg.

Answer:

80.265 kg

Step-by-step explanation:

1 kilogram is equivalent to 1,000 g. Therefore, the decimal point goes 3 spaces to the left to divide by 1,000, which is one rack ayyy.

I NEED HELP ASAP!!! MIGHT MARK BRAINLIEST

Answers

Answer:

the temp now is 0 degrees

-12+12=0

Step-by-step explanation:

hope i helped

brainliest pls!

-Zylynn

Answer: 12+12=24
Explanation: It was -12 degrees in the morning, and it became 12 degrees in the afternoon. So, the temperature needs to go up 12 degrees first, which becomes 0, and then go up another 12 degrees to become 12. So the total temperature rise was 24.

which fraction has a repeating decimal expansion

Answers

Answer:

Fractions whose reduced form have denominators with factors other than 2, 5 will have repeating decimal expansions.

Step-by-step explanation:

The decimal expansion will terminate only if the fraction can be written an some numerator over a denominator that is a power of 10. hope this helps you :)

Customers at your store select their groceries from shelves and then pay. Sales records and records of restocks for flaming roast coffee ( 1 lb size) are as follows: # of sales tues 5, we'd 8, thu 2, fri 19, sat 22, sun 15, mon 3, # of restock tue 6, wed 12, thurs 12, fri 18, sat 24, sun 0, mon0. What is the net change of how many bags are on the shelf, from the the beginning of tuesday to the end of monday?

Answers

Answer: - 2

Step-by-step explanation:

- - - - - - - - - - - T - - W - - TH - - F - - S - - S - - M

# of SALE - - - 5 - - 8 - - - 2 - - 19 - 22 - 15 - - 3

# of restock - 6 - - 12 - - 12 - - 18 - 24 - 0 - - 0

Calculating the change in shelf unit on a daily basis:

Change = difference in restock unit and the unit sold, that is, # RESTOCK - # SOLD

TUESDAY :

6 - 5 = 1

WEDNESDAY :

12 - 8 = 4

THURSDAY :

12 - 2 = 10

FRIDAY :

18 - 19 = - 1

SATURDAY :

24 - 22 = 2

SUNDAY :

0 - 15 = - 15

MONDAY :

0 - 3 = - 3

The net change equals the algebraic sum of all daily changes in shelf unit between Tuesday to Monday ;

[1 + 4 + 10 + (-1) + 2 + (-15) + (-3)]

[1 + 4 + 10 - 1 + 2 - 15 - 3]

[ 1 + 4 + 10 + 2 - 1 - 15 - 3]

= 17 - 19

= - 2

Number of bags decreased by 2

Which is the correct equation for calculating the kinetic energy of an object? K times E = m times g times h. K times E = one half m v squared. K times E = one half a t squared. K times E = one quarter g squared.

Answers

Answer:

KE = 1/2mv²

Step-by-step explanation:

The answer above is the formula for calculating kinetic energy. It is wise to remember it.

Answer:

Here is the answer np! :)

Step-by-step explanation:

What type of triangle has these side lengths

Answers

Answer:

Option (C)

Step-by-step explanation:

Given sides of a triangle are 2, [tex]\sqrt{12}[/tex] and [tex]\sqrt{19}[/tex].

Option (A).

If the triangle is a right triangle.

By Pythagoras theorem,

(Longest side)² = (Leg 1)² + (Leg 2)²

[tex](\sqrt{19})^2=2^2+(\sqrt{12})^2[/tex]

19 = 4 + 12

19 = 16

Not true.

Therefore, its not a right triangle.

Option (B).

If it is a triangle following conditions will be followed.

1). a + b > c

2). b + c > a

3). a + c > b

For the given sides of the triangle,

1). 2 + √12 > √19 [True]

2). 2 + √19 > √12 [True]

3). √12 + √19 > 2 [True]

Therefore, the given measures of the sides will form a triangle.

Option (C)

By Pythagorean inequality theorem,

If c² =  a² + b² → Right triangle

If c² > a² + b² → Obtuse triangle

If c² < a² + b² → Acute triangle

Since, (√19)² > 2² + (√12)² → 19 > 4 + 12

Therefore, the given triangle is an Obtuse triangle.

Option (D).

Not true. It's an obtuse triangle.    

7. In 2015 a club has 250 members who each
pay
$95 annual subscription.
In 2016 the membership increases by 4% and the annual subscription is
increased by 6%. What is the total income from subscriptions in 2016?

Answers

2015:

250 members

$95 annual subscription

2016

250 members + 4%

$95 annual subscription + 6%

Work:

250 x 1.04 = 260

95 x 1.06 =  100.7

260 x 100.7 = 26,182

Thus, the club makes $26,182 from 260 members who pay a subscription of $100.7

14.3p – 32.24 = 127.92 14.3p – 32.24 + 32.24 = 127.92 + 32.24 14.3p = 160.16 StartFraction 14.3 p Over 14.3 EndFraction equals StartFraction 160.16 Over 14.3 EndFraction.

Answers

Answer:

p = 11.2

Step-by-step explanation:

The computation is shown below:

Data provided in the question

2.6(5.5p – 12.4) = 127.92

Now

Distributive Propertyis

14.3p - 32.24 = 127.92

Addition Property is

14.3p = 127.92 + 32.24

Division Property is

14.3p ÷ 14.3 = 160.16 ÷ 14.3

p = 11.2

We simply find the value of p by applying the distributive property, addition property, and the division property and the same is to be considered

Answer:

The Answer is 11.2

Step-by-step explanation:

In 2004, the world's fastest knitter was able to knit 225 stitches in 3 min. How long would she take to knit a scarf that was 20 cm wide and 1.2 m long, if she used yarn that resulted in 1.6 stitches per centimetre?

Answers

It will take her 49.15 seconds to knit the scarf.

Since in 2004, the world's fastest knitter was able to knit 225 stitches in 3 min, to determine how long would she take to knit a scarf that was 20 cm wide and 1.2 m long, if she used yarn that resulted in 1.6 stitches per centimeter, the following calculation must be performed:

0.2 x 120 = Area 24 cm2 = Area 1.6 x 1.6 = 2.56 stitches per cm2 24 cm2 x 2.56 = 61.44 225/3 = 75 61.44 / 75 = 0.8192  1 = 60 0.8192 = X 0.8192 x 60 = X 49.15 = X

Therefore, it will take her 49.15 seconds to knit the scarf.

Learn more about maths in https://brainly.com/question/9230316

Sean los ángulos a y B, donde la suma de la mitad de a mas la tercera parte de B es igual a 15. calcula el doble del cociente del seno de 3a y el coseno de 2B. Urgente pls a es alpha y B es beta por si acaso

Answers

Answer:

Supongo que tenemos dos ángulos A y B

"la mitad de A mas la tercera parte de B es igual a 15°" (también supongo que son grados)

A/2 + B/3 = 15°

A/2 = 15° - (B/3)

A = 30° - 2*(B/3)

Ahora queremos calcular:

2*sin(3*A)/cos(2*B)

pero podemos reemplazar A por lo que tenemos arriba:

2*sin(3*(30° - 2*(B/3)))/cos(2*B)

2*sin(90° - 2*B)/cos(2*B)

y como sabemos,  

Sin( 90° - x) = Sin(90°)*cos(-x) + cos(90°)*sin(-x) = cos(-x) = cos(x)

entonces:

2*sin(90° - 2*B)/cos(2*B) = 2*cos(2*B)/cos(2*B) = 2*1 = 2.

The sum of all digits in the numbers 44, 45 and 46 is 27 because (4+4)+(4+5)+(4+6)=27. Find the sum of digits in the first 25 counting numbers: 1, 2, 3, …, 25.
In other words....
1+2+3+4+5+6+7+8+9+1+0+1+1+1+2+1+3+1+4+1+5+1+6+1+7+1+8+1+9+2+0+2+1+2+2+2+3+2+4+2+5

Answers

Answer:

The sum of all digits in the first 25 counting numbers is 127

Hope this helps

Simon has 160160160 meters of fencing to build a rectangular garden. The garden's area (in square meters) as a function of the garden's width xxx (in meters) is modeled by A(x)=-x(x-80)A(x)=−x(x−80)A, left parenthesis, x, right parenthesis, equals, minus, x, left parenthesis, x, minus, 80, right parenthesis What width will produce the maximum garden area?

Answers

The width for maximum area will be 40 metres.

Given,Simon has 160 metres of fencing to build a rectangular garden.

The garden's area (in square meters) as a function of the garden's width x(in meters) is modeled by,

[tex]A(x)=-x(x-80)[/tex].

We know that perimeter of rectangle will be,

[tex]P=2(L+B)\\[/tex]

Here p is 160,

So,[tex]160=2(L+B)[/tex]

[tex]\L+B= 80[/tex]

Now we have the sum of length and width off the rectangular garden is 80.

Since,

[tex]A(x)=-x(x-80)\\[/tex]

So, [tex]A(x)=x(80-x)[/tex]

We know that the area of rectangle will be the product of length and , here in question width is [tex]x[/tex] so the length will be[tex](80-x)[/tex].

Now we have to calculate the width for which the area will be maximum.

The area will be maximum when the first derivative of area function will becomes zero.

So,

[tex]\frac{\mathrm{d} }{\mathrm{d} x} A(x)=\frac{\mathrm{d} }{\mathrm{d} x}(-x)(x-80)[/tex]

[tex]\frac{\mathrm{d} }{\mathrm{d} x}A(x)=\frac{\mathrm{d} }{\mathrm{d} x}(-x^{2} +80x)[/tex]

[tex]\frac{\mathrm{d} }{\mathrm{d} x}A(x)=-2x+80\\[/tex]

For maximum area ,

[tex]\frac{\mathrm{d} }{\mathrm{d} x}A(x)=0[/tex]

Hence,

[tex]-2x+80=0\\x=40[/tex]

Hence the width for maximum area will be 40 metres.

For more details follow the link:

https://brainly.com/question/16545343

Answer:

The maximum area is 1600 sq meters.

Step-by-step explanation:

The garden's area is modeled by a quadratic function, whose graph is a parabola.

The maximum area is reached at the vertex.

So in order to find the maximum area, we need to find the vertex's y-coordinate.

We will start by finding the vertex's x-coordinate, and then plug that into A(x).

The vertex's x-coordinate is the average of the two zeros, so let's find those first.

A(x)=0    -x(x-80)=0

  ↓                  ↓

-x=0 or x-80=0

x=0 or x=80

Now let's take the zeros' average:

[tex]\frac{(0)+(80)}{2}=\frac{80}{2}=40[/tex]

The vertex's x-coordinate is 40. Now lets find A(40):

A(40)= -(40)(40-80)

        = -(40)(-40)

        = 1600

in conclusion, the maximum area is 1600 square meters.

How many kilometers is it from the main gate to Manatee Springs? (Hint: To convert from

yards to kilometers, multiply by 0.0009144). Round answer to the nearest hundredth kilometer

Manatee Springs

Elephant

House

3,500 yds

- 200 yds

Tran Depot

2000

Bird Sanctuary

Main Gate

(SHOW WORK)

Answers

Answer:

6.04 km

Step-by-step explanation:

From the image attached, both triangles form are similar to each other because their corresponding angles are equal, therefore they are equiangular triangles. equiangular triangles have the same shape but different sizes and the ratio of their corresponding sides are equal.

Therefore since their corresponding sides are equal we can calculate the distance from the main gate to Manatee Springs. It is given by:

[tex]\frac{3500\ yards}{2000\ yards} = \frac{4200\ yards}{x}\\ x= \frac{4200\ yard*2000\ yards}{3500\ yards}=2400\ yards[/tex]

x = 2400 yards.

The distance from the main gate to Manatee Springs = x + 4200 yards = 2400 + 4200 = 6600 yards

The distance from the main gate to Manatee Springs = 6600 yards = (6600 * 0.0009144) km = 6.04 km

The distance from the main gate to Manatee Springs = 6.04 km

What is the slope of the line through (-9, 6) and (-6, -9)? A/ ⅕ B/ 5 C/ -5 D/ -⅕

Answers

Answer:

-5

Step-by-step explanation:

We can find the slope between two points by using

m = (y2-y1)/(x2-x1)

    = ( -9-6)/(-6 - -9)

   =(-9-6)/( -6+9)

  -15/3

   -5

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 9, 6) and (x₂, y₂ ) = (- 6, - 9)

m = [tex]\frac{-9-6}{-6+9}[/tex] = [tex]\frac{-15}{3}[/tex] = - 5 → C

(show all your working out)
Madeeha’s father won £149
He shared the money between his three children in the ratio 6:3:1
Madeeha was given the biggest share.
a) Work out how much money Madeeha was given.
b) She saved of her share.
How much did she save?

Answers

Answer:

She received £89.4

and she saved £67.05

Step-by-step explanation:

The complete question is as follows;

Madeeha’s father won £149.

He shared the £149 between his three children in the ratio 6:3:1. Madeeha was given the biggest share.

(a) Work out how much money Madeeha received.

(b) Madeeha saved 3/4 of her share.

Work out how much Madeeha saved.

Answer;

The total ratio is 6 + 3 + 1 = 10

Since madeeha was given the biggest share, that means she is given 6 out of 10 portions

So the amount she was given would be ;

6/10 * 149 = £89.4

Now we were told she saved 3/4

Amount saved would be 3/4 * 89.4 = £67.05

help please!!!! ty :)

Answers

Answer:

I think the answer should be 112

I'm guessing the supports in the water are equally distanced. Therefore, I'd divide 168 by four to get a singular distance between two supports. I got 42 yards.

4.- En una pastelería han preparado 30 pasteles. Los van a colocar en bandejas de forma que en cada bandeja haya el mismo número de pasteles y no sobre ninguno. ¿De cuántas formas los puede colocar?

Answers

Answer:

7 formas

Step-by-step explanation:

En la pastelería, se han preparado 30 pasteles.

Cada bandeja contendrá la misma cantidad de pasteles.

Para encontrar de cuántas maneras puedes ponerlos, tenemos que encontrar los factores de 30. Ellos son:

1, 2, 3, 5, 6, 10, 15, 30

Esto significa que podemos tener:

30 bandejas que contienen 1 bandeja cada una

15 bandejas con 2 tortas cada una

10 bandejas con 3 tortas cada una

6 bandejas con 5 tortas cada una

5 pasteles que contienen 6 pasteles cada uno

3 bandejas con 10 pasteles cada una

2 bandejas con 15 tortas cada una

Esto significa que hay 7 formas de colocar los pasteles.

help i don't understand

Answers

Answer:

x = mn+y

Step-by-step explanation:

=> [tex]m = \frac{x-y}{n}[/tex]

Multiplying n to both sides

=> x-y = mn

Now, Adding y to both sides

=> x = mn+y

Answer:

x = m n + y

Step-by-step explanation:

A pack of 6 batteries of the same type costs £2.79. By caculating the price, per battery, determine if this is better value. You must show your working.

Answers

Answer:

£0.465. It is a better value.

Step-by-step explanation:

If a pack of 6 batteries costs £2.79, price of a battery can be calculated as shown;

6batteries = £2.79

1 battery = x

x = cost of a battery

6x = £2.79

x = £2.79/6

x = £0.465

Price per battery will be £0.465. This price is a better value since the price is lesser than the cost of the 6batteries (£2.79) in a pack.

Which function is represented by this graph?

Answers

Answer:

Option B.

Step-by-step explanation:

From the given graph it is clear that it is a V-shaped graph. It means, it is the graph of absolute function.

The vertex form of an absolute function is

[tex]y=a|x-h|+k[/tex]

where, a is a constant and (h,k) is the vertex.

From the given graph it is clear that the vertex is at (7,-3). It means h=7 and k=-3.

[tex]y=a|x-(7)|+(-3)[/tex]

[tex]y=a|x-7|-3[/tex]    ...(1)

It passes through (4,0).

[tex]0=a|4-7|-3[/tex]

[tex]3=3a[/tex]

[tex]1=a[/tex]

Put this in (1).

[tex]y=1|x-7|-3[/tex]

[tex]y=|x-7|-3[/tex]

Therefore, the correct option is B.

Work out the sum of the interior angles of any quadrilateral.

Answers

Answer:

The sum of the interior angles is 360 degrees.

Step-by-step explanation:

A chemist is using 367milliliters of a solution of acid and water. If 18.4% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.

Answers

Answer:

For this case we know that the total amount of solution including water and acid is V=367 ml

And we know that the % of acid in the solution is 18.4% so then we can find the number of ml of acid witht this operation:

[tex] Acid = 0.184 *367 ml = 67.528 ml \approx 67.5 ml[/tex]

Step-by-step explanation:

For this case we know that the total amount of solution including water and acid is V=367 ml

And we know that the % of acid in the solution is 18.4% so then we can find the number of ml of acid witht this operation:

[tex] Acid = 0.184 *367 ml = 67.528 ml \approx 67.5 ml[/tex]

HELP ME PLEASEEEEEEEE

Answers

X Y

-2 11

-1 7

0 3

1 -1

2 -5

-2 = 16 times minus 2 plus 4y equals to 12

-1 = 16 times minus 1 plus 4y equals to12

0 = 16 times 0 plus 4y equals to 12

1 = 16 times 1 plus 4y equals to 12

2 = 16 times 2 plus 4y equals to 12

Therefore,

-2 = 16 * -2 + 4y = 12

-32 + 4y = 12

4y = 12 + 32

4y = 44

y = 44/4

y = 11

-1 = 16 * -1 + 4y = 12

-16 + 4y = 12

4y = 12 + 16

4y = 28

y = 28/4

y = 7

0 = 16 * 0 + 4y = 12

0 + 4y = 12

4y = 12 + 0

4y = 12

y = 12/4

y = 3

1 = 16 * 1 + 4y = 12

16 + 4y = 12

4y = 12 - 16

4y = -4

y = -4/4

y = -1

2 = 16 * 2 + 4y = 12

32 + 4y = 12

4y = 12 - 32

4y = -20

y = -20/4

y = -5


Solve: -4 < -2x < 10

Answers

Answer:   -5 < x < 2

Explanation:

The expression -2x means -2 times x. To undo this, we divide all parts of the inequality by -2. Dividing by a negative number will flip the inequality sign. We go from "less than" to "greater than"

-4 < -2x < 10

-4/(-2) > x > 10/(-2) .... inequality signs flip

2 > x > -5

-5 < x < 2

This unknown number x is between -5 and 2. It cannot equal -5. It cannot equal 2.

Other Questions
world war 2 is often referred to as the good world. evaluate that title for the world. is it appropriate. why or why not Bonjour Le plus-que-parfait. Rpondez sur le modle suivant (attention l'accord des participes passs). Exemple: - Vous pouvez signer cette lettre? - Mais je l'avais dj signe avant de partir. 1. Il peut organiser ses rendez-vous ? 2. Nous pouvons obtenir une aide ? 3. On peut prsenter ces activits ? 4. Tu peux passer cet examen? 5. Elles peuvent arrter leurs tudes? how is dance performed The organization that Jones works for is running for a father son dinner for those employees is invited to attend along with his youngest son. If Jones is known to have two children, what is the condition probability that they are both boys given that he is invited to the dinner? Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 10 more days to finish the job than the other worker? Which of the following best describes President Nixons policy of Vietnamization?A. it was a plan to bring US troops home graduallyB. it was a plan to stage a massive invasion of north VietnamC. it was a strategy to rescue American POWs from the Vietnamese CommunistsD. it was a strategy to unite Vietnam under a communist government What was the significance of the Stamp Act? Ellas ____ al supermercado anoche.A. FuisteisB. VanC. EstnD. Fueron What is the slope of the line that contains the point (-2, 7) and (2, 3)? A. -1 B. -4 C. 1 D. 4 In the figure, a//b, and both lines are intersected by transversal t. Complete the statements to prove that m What's the correct answer to both of these? In "The Death of the Hired Man," Frost uses characters that are seemingly a. overly-sensitive b. practical c. stereotypical d. obnoxious T or F? Is 3y=5x If x is 3 and y is 5? What fundamental frequency would you expect from blowing across the top of an empty soda bottle that is 24 cm deep, if you assumed it was a closed tube Cuidado con ladel televisor la puedes quebrar (to break)! ( cuchara/ pantalla) At the level of output at which a single-price monopolist maximizes profit, price is Group of answer choices The production of water proceeds according to the following equation.2H2(g) + O2(g) 2H2O(g)Which describes a way to speed up the collisions between hydrogen and oxygen molecule:Use a less-intense source of heat on the reactants.Maintain the same temperature of the reactants.Place the reactants in a smaller container.Reduce the concentration of the reactants. Maggie does her homework primarily to gain her teachers approval. She has little internal desire to do her homework, although she does feel slight twinges of guilt when she fails to get an assignment done. Within the sequence in which internalized motivation may develop - external regulation, introjection, identification, then integrationMaggie is showing: Mr. Hughes has contributed $4000.00 per year for the last ten years into a RRSP account earning 9.00% compounded annually. Suppose he leaves the accumulated contributions for another five years in the RRSP at the same rate of interest. A) How much will Mr. Hughes have in total in his RRSP account? B) How much did Mr. Hughes contribute? C) How much will be interest? How many gallons of a 50% antifreeze solution must be mixed with 90 gallons of 10% antifreeze to get a mixture that is 40% antifreeze? Use the six step method.