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uppose you receive a chain letter with six names on it, and to keep the chain unbroken, you are to mail a dime to the person whose name is at the top, cross out the top name, add your name to the bot- tom, and mail it to five friends. If your friends mail out five letters each, and no one breaks the chain, you will eventually receive dimes. How many sets of mailings before your name is at the top of the list to receive dimes? How many dimes would you receive? (This is a geometric sequence with first term 5.)

uppose you receive a chain letter with six names on it, and to keep the chain unbroken, you are to mail a dime to the person whose name is at the top, cross out the top name, add your name to the bot- tom, and mail it to five friends. If your friends mail out five letters each, and no one breaks the chain, you will eventually receive dimes. How many sets of mailings before your name is at the top of the list to receive dimes? How many dimes would you receive? (This is a geometric sequence with first term 5.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose you receive a chain letter with
six names on it, and to keep the chain unbroken, you
are to mail a dime to the person whose name is at the
top, cross out the top name, add your name to the bot-
tom, and mail it to five friends. If your friends mail out
five letters each, and no one breaks the chain, you will
eventually receive dimes. How many sets of mailings
before your name is at the top of the list to receive
dimes? How many dimes would you receive? (This is
a geometric sequence with first term 5.)

MAT 130_Applied Finite Maths_Sullivans* - PDF-XChange Editor Quick Launch (CTRL+.) File Home View Comment Protect Form Organize Convert Share Review Bookmarks Help Find. Search. = PSY 108. Psychology_Myers_12e_2018 MAT 130_Applied Finite Maths_Sullivans * this country be in 10 years? in its first year? 77. Chain letters Suppose you receive a chain letter with six names on it, and to keep the chain unbroken, you are to mail a dime to the person whose name is at the top, cross out the top name, add your name to the bot- tom, and mail it to five friends. If your friends mail out five letters each, and no one breaks the chain, you will eventually receive dimes. How many sets of mailings before your name is at the top of the list to receive dimes? How many dimes would you receive? (This is a geometric sequence with first term 5.) 66. Spread of AIDS by the AIDS epidemic that its population decreases by 0.5% each year for a 4-year period. If the population was originally 10 million, what is the population at the end of the 4-year period? Suppose a country is so devastated 67. Population growth If the rate of growth of a popula- tion continues at 2%, in how many years will the pop- ulation double? 68. Population If a population of 8 million begins to increase at a rate of 0.1% each month, in how many 78. Chain letters Mailing chain letters that involve send- ing money has been declared illegal because most peo- ple would receive nothing while a comparative few would profit. Suppose the chain letter in Problem 77 were to go through 12 unbroken progressions. (a) How many people would receive money? (b) How much money would these people receive as a group? months will it be 10 million? 69. Ball rebounding A ball is dropped from a height of 128 feet. If it rebounds of the height from which it falls every time it hits the ground, how high will it bounce after it strikes the ground for the fourth time? 70. Water pumping A pump removes of the water in a container with every stroke. What amount of water is still in a container after 5 strokes if it originally con- tained 81 cm³? 79. Chain letters How many letters would be mailed if the chain letter in Problem 77 went through 12 unbro- ken progressions2. Options. X: 148,2mm tH: 270,1 mm Y: 170,7mm 26/345 .DB DDRR. 125% PDF 9:30 CH N w VI lll 12/11/2020
Transcribed Image Text:MAT 130_Applied Finite Maths_Sullivans* - PDF-XChange Editor Quick Launch (CTRL+.) File Home View Comment Protect Form Organize Convert Share Review Bookmarks Help Find. Search. = PSY 108. Psychology_Myers_12e_2018 MAT 130_Applied Finite Maths_Sullivans * this country be in 10 years? in its first year? 77. Chain letters Suppose you receive a chain letter with six names on it, and to keep the chain unbroken, you are to mail a dime to the person whose name is at the top, cross out the top name, add your name to the bot- tom, and mail it to five friends. If your friends mail out five letters each, and no one breaks the chain, you will eventually receive dimes. How many sets of mailings before your name is at the top of the list to receive dimes? How many dimes would you receive? (This is a geometric sequence with first term 5.) 66. Spread of AIDS by the AIDS epidemic that its population decreases by 0.5% each year for a 4-year period. If the population was originally 10 million, what is the population at the end of the 4-year period? Suppose a country is so devastated 67. Population growth If the rate of growth of a popula- tion continues at 2%, in how many years will the pop- ulation double? 68. Population If a population of 8 million begins to increase at a rate of 0.1% each month, in how many 78. Chain letters Mailing chain letters that involve send- ing money has been declared illegal because most peo- ple would receive nothing while a comparative few would profit. Suppose the chain letter in Problem 77 were to go through 12 unbroken progressions. (a) How many people would receive money? (b) How much money would these people receive as a group? months will it be 10 million? 69. Ball rebounding A ball is dropped from a height of 128 feet. If it rebounds of the height from which it falls every time it hits the ground, how high will it bounce after it strikes the ground for the fourth time? 70. Water pumping A pump removes of the water in a container with every stroke. What amount of water is still in a container after 5 strokes if it originally con- tained 81 cm³? 79. Chain letters How many letters would be mailed if the chain letter in Problem 77 went through 12 unbro- ken progressions2. Options. X: 148,2mm tH: 270,1 mm Y: 170,7mm 26/345 .DB DDRR. 125% PDF 9:30 CH N w VI lll 12/11/2020
MAT 130_Applied Finite Maths_Sullivans* - PDF-XChange Editor Quick Launch (CTRL+.) File Home View Comment Protect Form Organize Convert Share Review Bookmarks Help Find. Search. = PSY 108. Psychology_Myers_12e_2018 MAT 130_Applied Finite Maths_Sullivans * this country be in 10 years? in its first year? 77. Chain letters Suppose you receive a chain letter with six names on it, and to keep the chain unbroken, you are to mail a dime to the person whose name is at the top, cross out the top name, add your name to the bot- tom, and mail it to five friends. If your friends mail out five letters each, and no one breaks the chain, you will eventually receive dimes. How many sets of mailings before your name is at the top of the list to receive dimes? How many dimes would you receive? (This is a geometric sequence with first term 5.) 66. Spread of AIDS by the AIDS epidemic that its population decreases by 0.5% each year for a 4-year period. If the population was originally 10 million, what is the population at the end of the 4-year period? Suppose a country is so devastated 67. Population growth If the rate of growth of a popula- tion continues at 2%, in how many years will the pop- ulation double? 68. Population If a population of 8 million begins to increase at a rate of 0.1% each month, in how many 78. Chain letters Mailing chain letters that involve send- ing money has been declared illegal because most peo- ple would receive nothing while a comparative few would profit. Suppose the chain letter in Problem 77 were to go through 12 unbroken progressions. (a) How many people would receive money? (b) How much money would these people receive as a group? months will it be 10 million? 69. Ball rebounding A ball is dropped from a height of 128 feet. If it rebounds of the height from which it falls every time it hits the ground, how high will it bounce after it strikes the ground for the fourth time? 70. Water pumping A pump removes of the water in a container with every stroke. What amount of water is still in a container after 5 strokes if it originally con- tained 81 cm³? 79. Chain letters How many letters would be mailed if the chain letter in Problem 77 went through 12 unbro- ken progressions2. Options. X: 148,2mm tH: 270,1 mm Y: 170,7mm 26/345 .DB DDRR. 125% PDF 9:30 CH N w VI lll 12/11/2020
Transcribed Image Text:MAT 130_Applied Finite Maths_Sullivans* - PDF-XChange Editor Quick Launch (CTRL+.) File Home View Comment Protect Form Organize Convert Share Review Bookmarks Help Find. Search. = PSY 108. Psychology_Myers_12e_2018 MAT 130_Applied Finite Maths_Sullivans * this country be in 10 years? in its first year? 77. Chain letters Suppose you receive a chain letter with six names on it, and to keep the chain unbroken, you are to mail a dime to the person whose name is at the top, cross out the top name, add your name to the bot- tom, and mail it to five friends. If your friends mail out five letters each, and no one breaks the chain, you will eventually receive dimes. How many sets of mailings before your name is at the top of the list to receive dimes? How many dimes would you receive? (This is a geometric sequence with first term 5.) 66. Spread of AIDS by the AIDS epidemic that its population decreases by 0.5% each year for a 4-year period. If the population was originally 10 million, what is the population at the end of the 4-year period? Suppose a country is so devastated 67. Population growth If the rate of growth of a popula- tion continues at 2%, in how many years will the pop- ulation double? 68. Population If a population of 8 million begins to increase at a rate of 0.1% each month, in how many 78. Chain letters Mailing chain letters that involve send- ing money has been declared illegal because most peo- ple would receive nothing while a comparative few would profit. Suppose the chain letter in Problem 77 were to go through 12 unbroken progressions. (a) How many people would receive money? (b) How much money would these people receive as a group? months will it be 10 million? 69. Ball rebounding A ball is dropped from a height of 128 feet. If it rebounds of the height from which it falls every time it hits the ground, how high will it bounce after it strikes the ground for the fourth time? 70. Water pumping A pump removes of the water in a container with every stroke. What amount of water is still in a container after 5 strokes if it originally con- tained 81 cm³? 79. Chain letters How many letters would be mailed if the chain letter in Problem 77 went through 12 unbro- ken progressions2. Options. X: 148,2mm tH: 270,1 mm Y: 170,7mm 26/345 .DB DDRR. 125% PDF 9:30 CH N w VI lll 12/11/2020
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