CAN SOMEONE PLEASE ANSWER THIS! IM DESPERATE! 40 PTS



please try to explain your explanation fully because I don't understand this:


The value of a precious gold coin is increasing at the rate of 5% per year. If the gold coin is worth $105 today, what will it be worth in 11 years?

I also don't understand how the common ratio is 1.05 if 5% is .05 as a decimal.

Answers

Answer 1
for me i'm getting $57.75
Answer 2

The answer to your question is 162.75


Related Questions

what is the answer


solve 4.8+n=6.2

Answers

To find the value of n you first need to isolate it. To do this subtract 4.8 from both sides of the equation to keep it balanced. 4.8+n-4.8=6.2-4.8
Now you have n = 1.4
n=0.774194 your welcome because im litrally the best :]

Paul has a piece of wood that is 4 yards long. He knows there are 12 inches in 1 foot, and 3 feet in 1 yard. If there is no wood left over, how many 6-inch pieces can Paul cut from the length of wood? Remember to include units! (Example: 18 6-inch pieces)

Answers

The piece of wood is 4 yards long.

There are 3 ft in a yd.
4 yd = 4 * 3 ft = 12 ft

There are 12 in in a ft.
12 ft = 12 * 12 in = 144 in

The 4-yd length is the same as 144 in length.

To find how many 6 in pieces fit in a 144 in piece, we divide 144 by 6.

(144 in)/(6 in) = 24

Answer: He can cut 24 pieces.

24 Pieces cut from the wood.

What is a simplified Fraction?

Simplest form conversion of incorrect fractions to mixed numbers. By reducing to the simplest words and outlining the effort required, this calculator also makes correct fractions simpler. A number that will divide equally into the numerator and denominator so that it may be lowered is required in order to simplify a fraction. To transform a fraction into a mixed number, the numerator must be higher than the denominator (an improper fraction).

Given, Paul has a piece of wood that is 4 yards long. He knows there are 12 inches in 1 foot, and 3 feet in 1 yard. total woods in inches would be,

total inches of wood = 4 yards

total inches of wood = 4 * 3 feet

total inches of wood = 4 * 3* 12 inches

total inches of wood = 144 inches

Given 6-inch pieces cut from the length of the wood. Therefore, the total number of pieces cut from the wood is 144/6 or 24 pieces

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3+7x<26 help me with this equaton

Answers

3+ 7x < 26
-3 -3

7x < 23

divide by 7 to isolate x (variable)

x< 7/23 final answer

A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points L(−7,14) , M(9,14) , and N(9,−12) . Point P is the fourth vertex of the rectangle. How long is the side of the rectangle connecting points L and P?

Answers

it 38 units hope this helps

Answer:

the answer is 26 units

Step-by-step explanation:

An air freshener starts with 33 grams and evaporates. In each of the following situations define a function that gives the remaining mass of the air freshener (in grams) in terms of the number of days, t t, since the air freshener was first used.

Answers

Hello!

A) 
The mass of the air freshener A decreases by 3.2 grams each day. Define a function, f, to represent this situation.

In this function, the mass of the air freshener A (m) is the dependent variable and the days (t) and the initial amount of the air freshener A (mi) are the independent variables. If the mass decreases by a fixed amount each day, you only have to multiply this amount by the number of days:

[tex]m=mi-(3,2*t)[/tex]

B) The mass of the air freshener B decreases by 3.2% each day. Define a function, g, to represent this situation.

This function is trickier since there isn't a fixed amount of decreasing. Instead, the rate of decreasing depends on the initial amount of the freshener (mi). You have to include this initial amount in the equation to correctly model it. This is how you do it:

[tex]m=mi-(mi* \frac{3,2}{100}*t) [/tex]

Have a nice day!

Draw a number line that shows two equivalent fractions.label your number line and explain how you know the fractions are equivalent.

Answers

Here is a photo of what I chose as my equivalent numbers (Red represents my work, blue represents which step comes next, and highlighter shows what the answer is). My reasoning that 1/2 and 5/10 are equivalent is because 5/10 divided by 5/5 is 1/2.

Ethan is 3 years older than twice his brother Adrian’s age write an expersion to represent Ethan’s age ; if Adrian is 6 how old is Ethan;

Answers

Hi!

Expression: 6(2)+3

Ethan is 3 years older than twice his brother's age. 

6(2)+3

12+3

15

Ethan is 15.

Happy studying! 
~SimpleGirl~
Start with Ethan being twice as old as his brother Adrian. If Adrian's age is represented by x, then we can use the expression 2x. Ethan is also three years older than twice that age though, so modify the expression to add three years.

2x + 3. Now substitute Adrian's age, 6, into x and solve.

2(6) + 3
12 + 3
15.
If Adrian is 6, then Ethan is 15.

when 80% of a number is added to the number, the result is 252. what is the number

Answers

I Think The Answer Is 140.

The Expression: 0.8x + x = 252 Can Explain The Answer If x = 140.
Or: 1.8 Times x = 252 If x = 140.

divide (3x^3+5x) by (x+3)

Answers

Using synthetic division:

Draw an upside down division symbol. Place the constant of x + 3 (-3) on the outside, and the coefficients of 3x³ + 5x on the inside, like so:
   
    | x³   x²   x¹   x⁰
-3 | 3    0    5    0
    |      
    |___________

Bring down the first coefficient:

    | x³   x²   x¹   x⁰
-3 | 3    0    5    0
    |      
    |___________
      3

Multiply the number outside the symbol (-3) by the 3 you've just brought down. Place that number under the next coefficient to the right.

    | x³   x²   x¹   x⁰
-3 | 3    0    5    0
    |      -9
    |___________
      3

Add the new number (-9) to the coefficient above it and place that number directly underneath it.

    | x³   x²   x¹   x⁰
-3 | 3    0    5    0
    |      -9
    |___________
      3   -9

Repeat this process until you've reach the end of the symbol.

    | x³   x²   x¹   x⁰
-3 | 3    0    5    0
    |      -9   27 -96
    |___________
      3   -9  32  -96

The resulting numbers are coefficients, the first three of the quotient, and the last one of the remainder. The remainder is the last coefficient (-96) over the divisor.

(3x^3+5x) / (x+3) = 3² - 9x + 32 + -96 / x + 3


Movies are on sale for 14 the original price. If the original price is $20, which expression gives the sale price?

Answers

Answer:

20×1/4

Step-by-step explanation:

Answer:

This is super late but I want to help others who don't know the answer

Step-by-step explanation:

The answer is in the picture.

Thank me later :)

Thomas correctly spell 18 out of 20 words on his last spelling quiz. What decimal represent the portion of the rights that Thomas spelled correctly

Answers

The answer is 0.90

I used a rather ghetto way to answer this question.

first, I multiplied 20 by 5 to get it to 100 then I multiplied 18 by the same number (5) and got 90. That makes 90 out of 100 which is 0.90

Final answer:

Thomas spelled 18 out of 20 words correctly, which, when divided, gives us 0.9. This decimal represents the portion of the words he spelled correctly on his quiz.

Explanation:

To find the decimal that represents the portion of words Thomas spelled correctly on his quiz, we follow a simple process of division and conversion to a decimal.

Thomas spelled 18 out of 20 words correctly. So, we divide 18 by 20 which equals 0.9. This is the decimal that represents the portion of words Thomas spelled correctly.

Which of the follow is true about the expression Sqrt 3 * sqrt 2

A) It represents the product of two irrational numbers and is equivalent to a rational number.
b) It represents the product of two irrational numbers and is equivalent to an irrational number.
C) It represents the product of two rational numbers and is equivalent to a rational number.
D)It represents the product of two rational numbers and is equivalent to an irrational number.

Answers

were doing the same test its a.

Answer:

A

Step-by-step explanation:

need help plz Noah, some one

Answers

1 cm = 15 m (as stated in the bottom right hand corner of the image)

The wall measures 6 centimeters

stands for the actual wall in meters

= 15 x 6
= 90

90 meters is your answer for the width

hope this helps
So you know that 1cm = 15 m in the diagram, and the width of the diagram's building is 6 cm. To solve, first you have to convert the 15 m to cm (centimeters) to make the measurements equivalent. There are 100 cm in 1 m, so you will multiply 15 x 100 = 1,500. 
Now just multiply 6 x 1,500 to figure out how many cm the real wall is:
6 x 1,500 = 9,000     so the width of the real wall is 9,000 cm, but they want the answer in m (meters) so just divide 9,000 by 100:
9,000 ÷ 100 = 90     Your answer is 90 m. Hope this was helpful!

jane wants to fill her circular pool to a depth of 2m.determine the volume of water she needs,to the nearest cubic meter.

Answers

Final answer:

To find the volume of water needed to fill the pool to a depth of 2m, use the formula for the volume of a cylinder.

Explanation:

To determine the volume of water needed to fill the circular pool to a depth of 2m, you can use the formula for the volume of a cylinder:

V = πr²h

Given that the pool is circular, h = 2m, and to the nearest cubic meter, you would need:

Volume of water = π( r )²( 2 )

to function properly, rainwater outflow pipe must drop exactly 1 inch for every 25 inches of horizontal distance. A 40 foot long rain water pipe runs under the edge of a roof. What is the vertical distance, in inches, the pipe bust drop between its ends? Round your number to the nearest tenth.

Answers

40 ft x 12 to convert it to inches.
480 inches / 25 inches = 19.2 Inches dropped.

Answer: Hence, There is vertical distance of 19 inches the pipe must drop between its ends.

Step-by-step explanation:

Since we have given that

Rainwater outflow pipe must drop exactly 1 inch for every 25 inches of horizontal distance.

For 1 inch = 25 inches of vertical distance the pipe must drop.

If there is a 40 foot long rain water pipe runs under the edge of a roof.

Then, we need to find the vertical distance in inches the pope must drop.

First, we change 40 feet into inches.

Since 1 foot = 12 inches

40 feet = 40×12 inches = 480 inches

So, Vertical distance the pipe must drop is given by

[tex]\dfrac{480}{25}\\\\=19.2\ inches[/tex]

Hence, There is vertical distance of 19.2 inches ≈ 19 inches the pipe must drop between its ends.

What is the exact volume of the cylinder?, (a) 54in. (b) 108in. (c) 162in. (d) 324in.

Answers

9x 6x6x3.14 = 1017.36
I followed the formula but why donMt have the answer right here

I am a closed shape made of 6 line segments. I have two angles less than right angle & no right angles. What shape am I?

Answers

the shape you're is a hexagon.

You are a hexagon. You have 6 sides and hexagons have 6 sides.

A container holds 8 gallons of water. If 4 5 of a gallon is added to the container each hour, how many hours would it take to fill the container?

Answers

So we know that 4.5 x 2 = 9, so it wouldn't work.
And because it wouldn't work it wouldn't take 2 hours.

4.5 = 1 hour and 9 = 2.

So we'll have to divide 4.5 by 2 by first turning it into a fraction.

4.5 = 4 1/2
4 1/2 ÷ 2 = 2 1/4
2 1/4 = 2.25
2.25 = 30 minutes.
4.5 + 2.25 = 6.75.
1 hour + 30 mins. = 1 hour and 30 minutes.

However we can still keep going.

2.25 ÷ 2 = 1.125
1.125 in fraction form is 1 1/8
1.125  = 15 minutes
1 hour and 30 minutes  + 15 minutes = 1 hour and 45 minutes.
6.75 + 1.125 = 7.875
7.875 in fraction form is 7 7/8

Your answer would be it would take 1 hour and 45 minutes.

Which expression can be simplified by applying the additive inverse property

Answers

D, because 9 3/4 and -9 3/4 cancel out to 0, which is the additive inverse property.

We have to identify the expression in which Additive inverse identity is applied.

Additive inverse property states that "The additive inverse of a number 'x' is a number that when it is added to 'x', yields zero".

Consider the first expression,

A. [tex] -329-164+513+206+(-164) [/tex]

There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.

B. [tex] 1.6+0.2-1.8-0.5 [/tex]

There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.

C. [tex] -\frac{7}{10}-\frac{3}{4}+1\frac{1}{2}+(-\frac{7}{10}) [/tex]

There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.

D. [tex] 9\frac{3}{4}\+4\frac{5}{8}+(-9\frac{3}{4}+(2\frac{3}{5}) [/tex]

Here, [tex] 9\frac{3}{4} [/tex] when added to [tex] -9\frac{3}{4} [/tex] will yield zero. Therefore, [tex] -9\frac{3}{4} [/tex] is the additive inverse of [tex] 9\frac{3}{4} [/tex].

So, in option D, Additive inverse property is applied.


Sophie bikes at a speed of s miles per hour. Her friend Rana is slower, her biking speed is only r miles per hour.

Today the girls went for a 20 miles trip, each girl was biking at her usual speed. How long did Sophie wait for Rana after her own arrival to the finish?

Answers

Answer:

She waited for 20/r-20/s at the end of the line.

Step-by-step explanation:

The solution is, Time Sophie waits for Rana to arrive at finish point

=20/s - 20/r.

What is speed?

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

here, we have,

The speed of Sophie and Rana are given as s miles per hour and r miles per hour.

The distance traveled by Sophie and Rand are 20 miles each.

The time taken by Sophie and Rana to travel 20 miles can be calculated by the formula

Speed =distance/time

Or, Time =distance/speed

Time taken by Sophie to travel 20 miles =20/s

Time taken by Rana to travel 20 miles =20/r

Time Sophie waits for Rana to arrive at finish point =20/s - 20/r

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What is the surface area of a triangular prism with dimensions of 10m, 9m, 6m, and 8m?

Answers

Final answer:

The surface area of the triangular prism with dimensions of 10m, 9m, 6m, and 8m is 218m².

Explanation:

To find the surface area of a triangular prism, we need to find the sum of the areas of all its faces.

A triangular prism has two triangular bases and three rectangular lateral faces. Let's calculate the surface area:

1. The area of each triangular base can be found using the formula: 1/2 × base × height.

For the first base, the base is 10m and the height is 6m. So the area of the first base is 1/2 × 10m × 6m = 30m².

Similarly, for the second base, the base is 9m and the height is 8m.

So the area of the second base is 1/2 × 9m × 8m = 36m².

2. The area of each rectangular lateral face can be found using the formula: length × width.

The lengths of the lateral faces are 10m, 9m, and 6m.

The common width of the lateral faces is the height of the prism, which is 8m.

So the total area of the lateral faces is 10m × 8m + 9m × 8m + 6m × 8m = 152m².

3. Finally, the total surface area of the triangular prism is the sum of the areas of the bases and the lateral faces: 30m² + 36m² + 152m² = 218m².

Therefore the surface area of a triangular prism is 218m².

evaluate x - 2y if x = -3 and y = -6

Answers

x - 2y
= -3 - 2(-6)
= - 3 + 12
= 9
The answer is 30 because -3-2=-3+(-2)=-5 then -5(-6) equals 30 because when you multiply two negatives it equals a positive

help me please i dont know how to do all of this ill really appreciate it please

Answers

Hello!

The expression: [tex]-14c-7(-19c-6)[/tex].

First step: Apply the Distributive Property; it is [tex]a(b + c) = ab + ac[/tex].

[tex]-14c-7(-19c-6)[/tex]
[tex]-14c+133c+42[/tex]

[A negative times a negative equals a positive.]
Next step: Combine like terms.

[tex]-14c+133c+42[/tex]
[tex]119c+42[/tex]

The simplified expression is [tex]119c+42[/tex].
Okay. First things first, we will distribute the -7 out to the numbers in the parenthesis. To do that, you will multiply each number in there by -7. -7 * -19c is 133 and -7 * -6 is 42. That makes the numbers become 133c + 42. We will combine like terms with -14c. 133c - 14c is 119c. The expression becomes 119c + 42. The expression in simplest form is 119c + 42.

Jose wants to build a rectangular kennel for his dog. His dad will let him useca spot in the corner of the yard that is 12 feet 3 inches by 8 feet 11 inches, Estimate how much fencing he will need to buy for the kennel.
A. About 21 ft
B. About 33 ft
C. About 42 ft
D. About 84 ft

Answers

the answer is probably about 21 feet






Answer:

I correct answer is: C

Step-by-step explanation:

About 42ft

I hope this helps! :)

Plz mark brainliest

The glass fish tank does not have a cover. Find the total area of the glass panels used to make the tank.



plz help thank you

Answers

You will find the area of the 5 surfaces made of glass. There is a front, back, 2 sides, and the bottom. Each face is in the shape of a rectangle, so you will multiply the length by the width.
1. Front- 24 x 27 =648
Back-24 x 27 = 648
2. Side- 21 x 27 =567
Side - 21 x 27 = 567
3. Bottom - 21 x 24 = 504

Add all these together for your total amount of glass needed. The answer is 2934 square cm of glass.
2,934 [tex] cm^{2} [/tex]

You are to solve for length x width for the 5 panels that were used for the tank.

24 x 27 = 648
24 x 27 = 648
21 x 27 = 567
21 x 27 = 567
21 x 24 = 504

When you add all areas together, the final answer is 2.934 [tex] cm^{2} [/tex]


Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 2 scoops of powdered drink mix with a half a gallon of water to make each pitcher of juice. One of Ms. Albero’s students said she will mix 8 scoops with 2 gallons of water to get 4 pitchers. How can you use the concept of proportion to decide whether the student is correct?

Answers

2 scoops of powdered drink mix =  1/2 gallon of water 

-----------------------
Multiply by 4
-----------------------
2 x 4 scoops =  1/2 x 4 gallon of water
8 scoops       =  2          gallon of water

The student is correct. 

As long as the amount of water is proportional to the number of scoops of drink mix, then the second quantity, amount of water, can be determined by multiplying the first quantity by the same constant. In this case, if the amount of powdered drink mix is represented by

PLEASE HELP
Law of sines:

Which represents the value of c?




Answers

Answer:  3sin(45) over sin(40)

Using the law of sins that is given, you can write the following proportion.
3/sin(40) = c/sin(45)

All you have to do to solve for C is to multiply by sin(45). In the proportion, the letter are the side lengths and the trig ratios are of the angle opposite the side.

ANSWER

[tex] c = \frac{3 \sin(45 \degree)}{\sin(40 \degree)} [/tex]




EXPLANATION

The sum of the interior angles of the given triangle is
[tex]180 \degree[/tex]


This implies that

[tex]A + 95 \degree + 45 \degree = 180 \degree[/tex]


We group like terms to get,

[tex]A = 180 - 140[/tex]


[tex]A = 40 \degree[/tex]


The law of sines is given by,

[tex] \frac{ \sin(A) }{a} = \frac{ \sin(B) }{b} = \frac{ \sin(C) }{c} [/tex]


Based on our known values, we use,
[tex] \frac{ \sin(A) }{a} = \frac{ \sin(C) }{c} [/tex]

We now substitute the values to get,

[tex] \frac{ \sin(40 \degree) }{3} = \frac{ \sin(45 \degree) }{c} [/tex]

We reciprocate both sides of the equation to get,

[tex] \frac{ 3}{\sin(40 \degree)} = \frac{ c }{\sin(45 \degree)} [/tex]


We now multiply both sides by
[tex] \sin(45 \degree) [/tex]
to get,

[tex] \frac{3 \sin(45 \degree)}{\sin(40 \degree)} =c[/tex]


or


[tex] c = \frac{3 \sin(45 \degree)}{\sin(40 \degree)} [/tex]

The correct answer is B.

On a winter’s day, 9 degrees Fahrenheit is the highest temperature recorded. Write an inequality that represents the temperature t in degrees Fahrenheit at any time on this day.

Answers

Answer: The inequality that represents the temperature t in degrees Fahrenheit at any time on this day is [tex]t\leq 9[/tex] degree Fahrenheit.

Explanation:

It is given that on a winter’s day, 9 degrees Fahrenheit is the highest temperature recorded. It means the temperature on this day must be less than or equal to 9 degree Fahrenheit.

Let t represents the temperature in degrees Fahrenheit at any time on this day. Then,

[tex]t\leq 9[/tex]

Therefore, the inequality that represents the temperature t in degrees Fahrenheit at any time on this day is [tex]t\leq 9[/tex] degree Fahrenheit.

Answer:

[tex]t\leq 9^{0}F[/tex]

Step-by-step explanation:

We have been given that highest temperature recorded on a winter’s day is 9 degrees Fahrenheit and we are asked to write an inequality that represents the temperature t in degrees Fahrenheit at any time on this day.

Since we know that highest temperature can't exceed 9 degrees Fahrenheit on the given day and it will be less than or equal to 9.

Therefore, our inequality will be,[tex]t\leq 9^{0}F[/tex]

The circumference of a circle is 6.28 meters. What is the circle's radius?
also how do i know

Answers

Formula: C= 2(pi)r

C = 6.28
pi = 3.14
r = ?

6.28 = 2(3.14)r
6.28 = 6.28r

r = 1

Which expressions are equal to 6^3 4^1/4^3 HELP ME ASAP PLEASE

Answers

It’s Daice if you favtorize it will become 6^3 x1/4^4 then it becomes 6^3/4^2

We will be using division property of exponents.

The property is as follows:

[tex] \frac{x^{a}}{x^{b}} =x^{a-b} [/tex]

This means if we have same base in both numerator and denominator, the exponents will get subtracted.

In our question we have

[tex] \frac{4^{1}}{4^{3} } =4^{1-3} [/tex]

[tex] \frac{4^{1}}{4^{3} } =4^{-2} [/tex]

Now we will use another property of exponents here:

[tex] x^{-a} =\frac{1}{x^{a} } [/tex]

So if we take reciprocal of the above expression we will get,

[tex] 4^{-2} =\frac{1}{4^{2} } [/tex]

Rewriting the final answer:

[tex] \frac{6^{3} }{4^{2} } [/tex]


Other Questions
What is the percentage of the total students chose skateboarding?A.) 10%B.) 20% C.) 30%D.) none of these The firing of a Revolutionary War cannon is used to open the local Fourth of July festivities. The muzzle of the cannon barrel is 6 feet above ground level. The height of the cannon ball being fired from the Revolutionary War cannon as a function of elapsed time is modeled by the function h(t) = 16t2 + 75t + 6, where h(t) is the height of the cannon ball in feet, and t is the elapsed time since firing in seconds. Determine at approximately what elapsed time(s) the cannon ball will be at a height of 55 feet. Two cities are 124 miles apart from each other. The cities are 4cm on a map, what is the Scale factor? Plastics are artificial substances. However, the materials needed to produce plastics are often crude oil. Which is a reasonable conclusion based on this fact?A. Plastics require oil and therefore will be lighter than any other material B. Plastics require oil and therefore must be more costly to use than other materialC. Plastics require oil and therefore are renewable resourcesD. Plastics require oil and therefore are nonrenewable resource Read this excerpt from Canto XIX of the Inferno: And [Pope Nicholas III] cried, "Are you already standing there, Are you already standing there, Boniface? By several years the record lied to me! "Are you so quickly glutted with the wealth Which did not make you fear to take by guile The lovely lady and then lay her waste?" I acted like a person who's left standing -- Not comprehending what's been said to him -- Half-mocked and at a loss to make an answer. Then Virgil spoke up, "Tell him right away, 'I am not he, I'm not the one you think!'" And I replied as I had been instructed.What is most likely Dante's purpose for including this scene?A. To show the audience that he believed Boniface deserved to be in Hell as well.B. To show the audiences that even popes are human and capable of mistakes.C. To emphasize Dante's need to impress Virgil with his knowledge of sinners.D. To emphasize that Pope Nicholas III should not be in Hell. What is the distance between the points (9, 32) and (9, 17) in the coordinate plane? what is meaning of microbes,remeber the word micro means small Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 ($1). Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.) Xi 2 1 P(xi) What is Miguels expected value from playing the game? answer= $2 Based on the expected value in the previous step, how much money should Miguel expect to win or lose each time he plays? answer= $2 What value should be assigned to choosing two chips with the number 1 to make the game fair? Explain your answer using a complete sentence and/or an equation. A game at the fair involves a wheel with seven sectors. Two of the sectors are red, two of the sectors are purple, two of the sectors are yellow, and one sector is blue. Landing on the blue sector will give 3 points, landing on a yellow sector will give 1 point, landing on a purple sector will give 0 points, and landing on a red sector will give 1 point. Let X = the points you have after one spin. Fill out the missing values in the table. Xi P(xi) If you take one spin, what is your expected value? What changes could you make to values assigned to outcomes to make the game fair? Prove that the game would be fair using expected values. The point guard of a basketball team has to make a decision about whether or not to shoot a three-point attempt or pass the ball to another player who will shoot a two-point shot. The point guard makes three-point shots 30 percent of the time, while his teammate makes the two-point shot 48 percent of the time. Xi 3 0 P(xi) 0.30 0.70 Xi 2 0 P(xi) 0.48 0.52 What is the expected value for each choice? Should he pass the ball or take the shot himself? Explain. Claire is considering investing in a new business. In the first year, there is a probability of 0.2 that the new business will lose $10,000, a probability of 0.4 that the new business will break even ($0 loss or gain), a probability of 0.3 that the new business will make $5,000 in profits, and a probability of 0.1 that the new business will make $8,000 in profits. Claire should invest in the company if she makes a profit. Should she invest? Explain using expected values. If Claires initial investment is $1,200 and the expected value for the new business stays constant, how many years will it take for her to earn back her initial investment? A punch recipe requires 4/5 of a cup of pineapple juice for every 2 1/2 cups of soda. What is the unit rate of soda to pineapple juice in the punch? How can investors receive compounding returns What is the greiss test? In forensic science? Name 5 things our atmosphere does for us Identify the order of the events and layers in this cross section image. (1) is the oldest, (9) is the youngest. a(1)= -2a(n)=a(n-1)-5 whats the 4th term in the sequence? In colonial times, printing derogatory information about the government was called ___, and was illegal. Hannah's doctors are convinced that her physical symptoms are not real, but they cannot decide whether this is an instance of malingering or factitious disorder. what factor will best help them to choose between these two possibilities? Easter is about the death of Christ, not Easter eggsP1 - A Christian viewP2 - a non-religious view P3 - A justified conclusion Find the missing measure for a right circular cone given the following information. Find L.A. if r = 6 and h = 8 48 60 96 Quick question!Which investment vehicles historically provide the lowest annual rates of return?A)Government bonds and U.S. Treasury billsB)Large company stocks and government bondsC)Small company stocks and large company stocksD) U.S. Treasury bills and small company stocks Write, and show on a number line, the set of all the numbers that are:greater than (3) and less than 3.