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A bus driver pays all tolls using only nickels and dimes by throwing one coin at a time into the mechanical toll collector. Find a recurrence relation for the number of different ways the bus driver can pay a toll of n cents, where the order in which the coins are used matters. (You must provide an answer before moving to the next part.) Multiple Choice an=5an-1+an - 2, where an is the number of ways to pay a toll of 5n cents, n≥2. anan-1+ an- 2, where an is the number of ways to pay a toll of n cents, n≥2. anan-1+ an- 2, where an is the number of ways to pay a toll of 5n cents, n≥2. an=5an-1+an - 2, where an is the number of ways to pay a toll of n cents, n≥2. A country uses coins with values of 1 peso, 2 pesos, 5 pesos, and 10 pesos and bills with values of 5 pesos, 10 pesos, 20 pesos, 50 pesos, and 100 pesos as its currency. Find a recurrence relation for the number of ways to pay a bill of n pesos if the order in which the coins and bills are paid matters. Multiple Choice an-an-1+2an-2+ an-5+2an - 10 + an - 20+ an- 50+ an- 100, for n≥ 100 anan-1+2an-2+3an - 5 + 4an - 10 + an- 20+ an- 50+ an - 100, for n≥ 100 an-an-1+2an - 2+ an- 5 + 2an - 10 + 2an - 20+ an- 50+ an- 100, for n≥ 100 anan-1+ an-2+2an-5+2an - 10+ an- 20+ an- 50+ an- 100, for n≥ 100

A bus driver pays all tolls using only nickels and dimes by throwing one coin at a time into the mechanical toll collector. Find a recurrence relation for the number of different ways the bus driver can pay a toll of n cents, where the order in which the coins are used matters. (You must provide an answer before moving to the next part.) Multiple Choice an=5an-1+an - 2, where an is the number of ways to pay a toll of 5n cents, n≥2. anan-1+ an- 2, where an is the number of ways to pay a toll of n cents, n≥2. anan-1+ an- 2, where an is the number of ways to pay a toll of 5n cents, n≥2. an=5an-1+an - 2, where an is the number of ways to pay a toll of n cents, n≥2. A country uses coins with values of 1 peso, 2 pesos, 5 pesos, and 10 pesos and bills with values of 5 pesos, 10 pesos, 20 pesos, 50 pesos, and 100 pesos as its currency. Find a recurrence relation for the number of ways to pay a bill of n pesos if the order in which the coins and bills are paid matters. Multiple Choice an-an-1+2an-2+ an-5+2an - 10 + an - 20+ an- 50+ an- 100, for n≥ 100 anan-1+2an-2+3an - 5 + 4an - 10 + an- 20+ an- 50+ an - 100, for n≥ 100 an-an-1+2an - 2+ an- 5 + 2an - 10 + 2an - 20+ an- 50+ an- 100, for n≥ 100 anan-1+ an-2+2an-5+2an - 10+ an- 20+ an- 50+ an- 100, for n≥ 100

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 8P
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A bus driver pays all tolls using only nickels and dimes by throwing one coin at a time into the mechanical toll collector. Find a recurrence relation for the number of different ways the bus driver can pay a toll of n cents, where the order in which the coins are used matters. (You must provide an answer before moving to the next part.) Multiple Choice an=5an-1+an - 2, where an is the number of ways to pay a toll of 5n cents, n≥2. anan-1+ an- 2, where an is the number of ways to pay a toll of n cents, n≥2. anan-1+ an- 2, where an is the number of ways to pay a toll of 5n cents, n≥2. an=5an-1+an - 2, where an is the number of ways to pay a toll of n cents, n≥2.
Transcribed Image Text:A bus driver pays all tolls using only nickels and dimes by throwing one coin at a time into the mechanical toll collector. Find a recurrence relation for the number of different ways the bus driver can pay a toll of n cents, where the order in which the coins are used matters. (You must provide an answer before moving to the next part.) Multiple Choice an=5an-1+an - 2, where an is the number of ways to pay a toll of 5n cents, n≥2. anan-1+ an- 2, where an is the number of ways to pay a toll of n cents, n≥2. anan-1+ an- 2, where an is the number of ways to pay a toll of 5n cents, n≥2. an=5an-1+an - 2, where an is the number of ways to pay a toll of n cents, n≥2.
A country uses coins with values of 1 peso, 2 pesos, 5 pesos, and 10 pesos and bills with values of 5 pesos, 10 pesos, 20 pesos, 50 pesos, and 100 pesos as its currency. Find a recurrence relation for the number of ways to pay a bill of n pesos if the order in which the coins and bills are paid matters. Multiple Choice an-an-1+2an-2+ an-5+2an - 10 + an - 20+ an- 50+ an- 100, for n≥ 100 anan-1+2an-2+3an - 5 + 4an - 10 + an- 20+ an- 50+ an - 100, for n≥ 100 an-an-1+2an - 2+ an- 5 + 2an - 10 + 2an - 20+ an- 50+ an- 100, for n≥ 100 anan-1+ an-2+2an-5+2an - 10+ an- 20+ an- 50+ an- 100, for n≥ 100
Transcribed Image Text:A country uses coins with values of 1 peso, 2 pesos, 5 pesos, and 10 pesos and bills with values of 5 pesos, 10 pesos, 20 pesos, 50 pesos, and 100 pesos as its currency. Find a recurrence relation for the number of ways to pay a bill of n pesos if the order in which the coins and bills are paid matters. Multiple Choice an-an-1+2an-2+ an-5+2an - 10 + an - 20+ an- 50+ an- 100, for n≥ 100 anan-1+2an-2+3an - 5 + 4an - 10 + an- 20+ an- 50+ an - 100, for n≥ 100 an-an-1+2an - 2+ an- 5 + 2an - 10 + 2an - 20+ an- 50+ an- 100, for n≥ 100 anan-1+ an-2+2an-5+2an - 10+ an- 20+ an- 50+ an- 100, for n≥ 100
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