A chain letter starts when a person sends a letter to five others. Each person who receives the letter either sends it to five other people who have never received it or does not send it to anyone. Suppose that 10,000 people send out the letter before the chain ends and that no one receives more than one letter. How many people receive the letter, and how many do not send it out?

Answers

Answer 1

Answer:

50,001 people sent out the letter.

40,001 did not send it out

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Step-by-step explanation:

Answer 2

780 people receive the letter before the chain ends.

9,220 people do not send out the letter.

We have,

In the given scenario, the chain letter starts with one person sending it to five others.

Each recipient of the letter has the option to either send it to five new recipients or not send it to anyone.

Let's analyze the chain letter progression:

The first person sends the letter to 5 recipients.

Each of those 5 recipients has the choice to send the letter to 5 new recipients or not send it.

If each of the 5 recipients sends the letter to 5 new recipients, we have a total of 5 x 5 = 25 new recipients.\

If any of the 5 recipients choose not to send the letter, they are out of the chain.

Now, we have 25 recipients who received the letter and have the same choice: send it to 5 new recipients or not send it.

If each of the 25 recipients sends the letter to 5 new recipients, we have a total of 25 * 5 = 125 new recipients.

If any of the 25 recipients choose not to send the letter, they are out of the chain.

This process continues until the chain ends.

To determine how many people receive the letter and how many do not send it out, we can observe the pattern:

After the first step, there are 5 recipients.

After the second step, there are 5 + (5 * 5) = 30 recipients.

After the third step, there are 5 + (5 * 5) + (5 * 5 * 5) = 155 recipients.

After the fourth step, there are 5 + (5 * 5) + (5 * 5 * 5) + (5 * 5 * 5 * 5) = 780 recipients.

We can see that the number of recipients follows a geometric progression with a common ratio of 5.

The formula for the sum of a geometric progression is:

[tex]Sum = a (r^n - 1) / (r - 1)[/tex]

Where:

a = initial term = 5

r = common ratio = 5

n = number of steps

We are given that the chain ends after 10,000 people send out the letter. Let's calculate the number of recipients:

[tex]Sum = 5 (5^4 - 1) / (5 - 1)[/tex]

= 5 (625 - 1) / 4

= 5 624 / 4

= 780

Therefore, 780 people receive the letter before the chain ends.

To find the number of people who do not send it out, we subtract the number of recipients from the total number of people who sent out the letter:

Number of people who do not send it out = Total number of people - Number of recipients

= 10,000 - 780

= 9,220

Therefore, 9,220 people do not send out the letter.

Thus,

780 people receive the letter before the chain ends.

9,220 people do not send out the letter.

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Related Questions

WILL MARK THE BRAINLIE

Answers

The answer is b.

when x decreases, f(x) decreases.
when x increases, f(x) increases.

Answer:

b

Step-by-step explanation:

A motorboat moves across a lake at a constant speed. When it begins, it is 48
km from the shore. After 10 minutes, it is 18 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y = 10x+48
B. y=-3x + 48
O c. y=-10x + 48
O D. y = 3x + 48

Answers

Answer:

b

Step-by-step explanation:

The function describes the motorboat's distance from the shore is y=-3x + 48. So, the correct option is B.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, a motorboat moves across a lake at a constant speed.

Let x be the number of minutes and y be the total distance.

When it begins, it is 48 km from the shore.

Now, (x₁, y₁) =(0, 48)

After 10 minutes, it is 18 km from the shore.

So, (x₂, y₂) =(10, 18)

We know that, Slope(m) =(y₂-y₁)/(x₂-x₁)

= (18-48)/(10-0)

= -30/10

= -3

Substitute, (x, y)=(0, 48) and m=-3 in y=mx+c, we get

48=-3(0)+c

c=48

Substitute, c=48 and m=-3 in y=mx+c, we get

y=-3x+48

Therefore, option B is the correct answer.

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3. 15% of 80 is 12 and 16% of 80 is 12.8. Find each percentage of 80 and be prepared to
explain your reasoning.

Answers

Answer:

12.08

Step-by-step explanation:

the easiest way to answer this is to set it up in this equation:

15.1/100 = x/80

in this, 15.1 is the percentage over 100 (because 100% is the most you can get) and x is the number that would be 15.1 percent of 80. Cross multiply so that you get 100x = 1208. Divide both sides by 100 to get x by itself. the end result will be x = 12.08

15.1% of 80 is equal to 12.08.

What is Percentage?

A number expressed in the form of a ratio per 100 is termed as the percentage, usually denoted by the sign %. In other words, percentage is a type of fraction whose denominator is 100.

The abbreviations like 'pct' or 'pc' are also used to denote percentage.

Percentage is a dimensionless quantity as they have no dimensions.

Here we have to find the percentage 15.1% of 80.

The percentage of any number can be computed by dividing the number with whole and then multiply with 100.

To compute the percentage value to the original number, we use the reverse process.

15.1% of 80 = 15.1% × 80

                   = (15.1/100) × 80

                   = 0.151 × 80

                   = 12.08

Hence we got the value of 15.1% of 80 as equal to 12.08.

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2.31 (1 repeating) as a fraction​

Answers

Answer:

[tex]\frac{231}{100}[/tex]

This is assuming that you can simplify the 2.31 to the nearest hundredth.

State the domain and range of the function:
domain:
range:​

Answers

Answer:

Domain: [-5, 1)

Range: (5, 1]

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

According to the graph, our x-values span from -5 to 1. Since -5 is a closed dot, it is inclusive in the domain. Since -1 is an open dot, it is exclusive in the domain:

[-5, 1)

According to the graph, our x-values span from -5 to 1. Since -5 is an open dot, it is exclusive in the range. Since 1 is a closed dot dot, it is exclusive in the range:

(5, 1]

Who gets this correct gets the brainliest answer​

Answers

Answer:

(-1,3) (0,-2) are two points that the line goes directly through. count the rise/run from the point furthest left to the one further right. you go down 5 and right 1. since you had to go down to get there, the slope is negative. slope is rise over run so in this case it's -5/1 or slope is = -5

to find the y-intercept, you find where the line crosses the y-axis. you find what y is when x is 0. in this case it's -2

slope = -5

y-intercept = -2

and if it asks for an equation of the line, you plug those given values above, into the slope intercept form which is : y=mx+b

where m is the slope

b is the y-intercept

the equation of this line is " y = -5x -2 "

80 POINTS NEED HELP FOR A BIG GRADE:
Reflect what you have learned about the personality traits and viewpoints of the person you select and adopt this persons perspective as though you were seeing the world through his or her eyes.
Includes: Use first-person pronouns
Includes: A viewpoint and tone that idealistically reflects how this individual would see and experience the subject matter he or she writes about.

Then you will rewrite a entry from Tuesday, July 13, 1943 or Friday, October 29, 1943.

Answers

Yesterday afternoon, Anne asked me to allow her to use the little table in our shared room twice a week in the afternoons, from four o’clock till half past five. Probably because nearly every other spot in the home is taken. It may have been a reasonable request but she is but a child, a child with no respect for her elders, I need that desk. So I told her no just no, and that bad-tempered child refused to be put off like that. I tried to send her away, telling her that “I have to work too, if I can’t work in the afternoons, then there is no time left for me at all. I must finish my task, otherwise I’ve started it all for nothing. Anyway, you don’t work seriously at anything. Your mythology, now just what kind of work is that, knitting and reading are not work either. I am at the table and shall stay there” Her reply was:

  “Mr. Dussel, I do work seriously and there is nowhere else for me to work in the afternoons. I beg of you to kindly reconsider my request.”  

  With these words the offended Anne turned her back on this very learned doctor, Ignoring me completely. She looked as though she was seething with rage. She will probably go run to her father and tell him how horrible her roommate is. That insulinant child!  

   Later that day the girl came to me after the dishes were done and started more unneeded drama telling me “Mr. Dussel, I don’t suppose you see any point in discussing the matter anymore, but I must ask you to do so” How relentless! I could not just let her get away with this” Maybe if I tried just playing nice she would be put in her place, so I put on my best smile a replied. “I am always, and at all times, prepared to discuss this matter, but it has already been settled.”

   She kept on talking about how unfair I was saying “When you first came here we arranged that this room should be for both of us; if we were to divide it fairly, you would have the morning and I all the afternoon! But I don’t even ask that much, and I think my two afternoons are really perfectly reasonable.” At this I jumped up outraged feeling as though someone stuck a needle in me. How dare she the ungrateful child! “You can’t talk about your rights here at all. And Where am I to go then? I shall ask Mr. Van Daan whether he will build a little compartment in the attic, then I can go and sit there. I simply can’t work anywhere. With you one always gets in trouble. If your sister Margot, who after all has more reason to ask such a thing, would have come to me with the same questions, I should not think of refusing, but you…” She attempted to show emotion on her face but I could tell she was hurt but I continued “But you one simply can’t talk to you. You are so outrageously selfish, as long as you get what you want, you don’t mind pushing everyone else to one side, I’ve never seen such a child. But after all, I suppose I shall be obliged to give you your own way, because I shall be told later on that Anne Frank failed her exam because Mr. Dussel would not give up the table for her.”

  At one moment she looked as though she wanted to smack me. When I had finally stopped talking and left the room I could hear her rush away, probably to run to her father whining about how horrible I am.

I was right, her father came to me when I was about to take my turn in the bathroom. We talked for nearly two hours about if Anne deserved to sit at the table. Me and Mr. Frank had already had this discussion before and he had agreed with me, but now because of the wretched child we had to have the whole conversation again. That little brat spoke to me as if I was an intruder who tried to monopolize everything, but of course her father made her out to be a perfect angel who just spoke her mind nicely.

 I finally gave in and allowed her to use the table twice a week. I don’t see that girl ever maturing and acting like a young lady.

   

Wish me luck dealing with that girl, Dussel

Can someone help me with this please

Answers

Answer:

teal, red, purple are the correct answers

Given g(x) = (x - 3)2 and h(x) = 2x + 1, which of the following is (g.h)(5)?
(A) 35
(B) 38
(C) 44
(D) 45

Answers

Answer:

B

Step-by-step explanation:

Guys plz solve this equation and help me​

Answers

Answer:5a^2 + 6ab + 2b^2

Step-by-step explanation:

Answer:

i don't know if this helps

What is 10% of 50?
10

5

60

Answers

Answer:

5

Step-by-step explanation:

The common number in 50 is 5. So you just multiply; 50×0.1=5

Please help me if u know

Answers

Answer: x = [tex]\frac{3+\sqrt{21} }{4}[/tex]

              x = [tex]\frac{3-\sqrt{21} }{4}[/tex]

Step-by-step explanation:

Which expression represents the following calculation?
"Add 2 and 10, then multiply by 3, then add 9."

Answers

Answer:

I think it's...

[(2 + 10) × 3] + 9

Mr.Harrison is reading a map to plan his vacation route. The map has a scale of 1 cm Equal 18 miles. He measure the length on the map for his vacation route to be 14 centimeters. What is the length of vacation route in miles?

Answers

Answer:

252 miles

Step-by-step explanation:

how many rectangles from 18 square boxes

Answers

Answer:

9 rectangles

Step-by-step explanation:

two squares form a rectangle.

18 ÷ 2 = 9

Translate the following sentence into an equation.

Fifteen minus the product of three and a number will equal six.

Answers

Answer:

r u stu ped

Step-by-step explanation:

stu ped

Can I multiply 252.004 by anything to get 252?

Answers

Answer:

0.99998412723

Step-by-step explanation:

basically i divided 252 by 252.004 and got 0.99998412723 so 252.004 times 0.99998412723 equals 252

I hope this helps!

Answer:

no,

Step-by-step explanation:

The reason for this is because if you were to take away the 4 at the end of both 0's you could easily just multiply by 1 but due to the 4, you can multiply anything to get 252

what is the LCD of 8/9 and 7/8

Answers

Answer:

72 I think

Step-by-step explanation:

I'm not 100% sure but I think its 72

Answer:

The Least Common Multiple (LCM) of 8 and 9 is 72,

and the Least Common Multiple (LCM) of 7 and 8 is 56.

What is 25% of 92?

Pls help thank you so much

Answers

Answer: 23

Hope that helps!

Answer:

23 :)

Step-by-step explanation:

4(a+3) - 7 = 6a -21 aaaaaaaaaaaaaaaaaa

Answers

Answer:

a=13

Step-by-step explanation:

4a+12-7=6a-21

combine like terms

4a+5=6a-21

sub 4a from each side

5=2a-21

add 21 to each side

26=2a

divide each side by 2

a=13

Answer:

:)

Step-by-step explanation:

a=13

HELP ASAP
A company advertises on a website.
A worker tracked the number of visits to the website and the number of clicks
on the advertisement.
The table shows the data for several days.
A linear function can be used to model the data.
Based on the table, what is the best prediction of the number of clicks on the
advertisement if 1500 people visit the website?

A 137
B 77
C 83
D 105

Answers

Answer:

I'm sure the answer is A

Step-by-step explanation: There is none, I saw someone else answer this.

Answer:

I'm pretty sure it's 83

Step-by-step explanation:

Teacher explanation that I still don't really understand

Help please this is urgent

Answers

Answer:

2 5/6 below (2 feet and five-sixth)

Step-by-step explanation:

I can explain in comments

IF ANY ONE NEEDS HELP WITH ANY KIND OF WORK ILL DO IF FOR A BIT OF CASH I GRADUATED COLLEGE I KNOW WHAT I'M DOING step by step

Answers

oh really?? how much?

Help plz! Will give brainliest!

Answers

Answer: the answer is d god bless you and plz can i have brainliest i only need 1 more

Step-by-step explanation:

Answer:

D sqrt 72

Step-by-step explanation:

The answer is not A because 8.89 = sqrt 79 and that is too high

The answer is not B because 9.06 = sqrt 82

The answer is not C because 7.94 = sqrt 63

The answer is D 8.49 = sqrt 72 and that is perfect.

What is the volume of a sphere with a diameter of 4 meters? (Use 3.14 for π.) 18.84 m 3 100.48 m 3 33.49 m 3 25.12 m 3

Answers

Answer:

Step-by-step explanation:

the formula for Volume of the sphere is

V=4/3 * π*r^3

diameter =4, r=2

V=4/3 * 3.14 * 8=33.49

A contractor is building a tower shaped like a tall
rectangular prism. He is told that the dimensions
of the tower must be 50 ft x 80 ft x 250 ft. The
building is to have 20 floors with a 2.5 ft tall
portion between each floor and for the roof. What
is the volume of each floor of the building?
A. 40,000 ft3
B. 49.500 ft
C. 50,000 ft
D. 60,000 ft

Answers

Answer: I put 50,000 ft^3

Step-by-step explanation: You have to multiply 50, 80, 250 then divide by 20 because you’re looking for the floors only and not the roof and floor

Which ordered pair is a solution of
2x – 3y = 6?
A. (5, 1) B. (0, 6) C. (4, 3) D. (6, 2)

Answers

It’s D because 2x6 is 12 then 3x2 is 6 then 12-6=6

Chen wants to buy a model car and race track with his allowance. He has $30 to spend. The model car costs $8.50, and he will spend the rest of the money on pieces of race track. Each piece of race track costs $2.25.
A. Write an inequality to find the number of race track pieces he can buy.
B. Identify the meaning of your variable.
C. Explain how many pieces of race track he can buy and how much change he will receive from his $30.

Answers

Yellow orange brown

Answer:

All below

Step-by-step explanation:

A. 8.50+2.25x is greater than or equal to $30.00

B. X=number of piece of race track

C. 9

What is the location of Point A

Answers

Answer:

Wheres the rest of the question

Step-by-step explanation:

Answer:

You need to show the picture so we can help you with all due respect

Step-by-step explanation:

2x ( 4x - 5) (22 – 81) = 0

Answers

Answer:

0.500

Step-by-step explanation:

Other Questions
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