Problem: The population of City A is 10,000 and it grows 3 times each year. The population of City B is 100,000 and it doubles each year. When will A catch up to B? Start of the Solution: City A: P(t) = 10,000*3 ^t City B: P(t)= 100,000*2^t Find t: 10,000*3^t = 100,000*2^t (I believe I am supposed to use log but I am unsure of how to do that, would you mind explain in as much detail possible)
Problem: The population of City A is 10,000 and it grows 3 times each year. The population of City B is 100,000 and it doubles each year. When will A catch up to B? Start of the Solution: City A: P(t) = 10,000*3 ^t City B: P(t)= 100,000*2^t Find t: 10,000*3^t = 100,000*2^t (I believe I am supposed to use log but I am unsure of how to do that, would you mind explain in as much detail possible)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem: The population of City A is 10,000 and it grows 3 times each year. The population of City B is 100,000 and it doubles each year. When will A catch up to B?
Start of the Solution:
City A: P(t) = 10,000*3 ^t
City B: P(t)= 100,000*2^t
Find t:
10,000*3^t = 100,000*2^t
(I believe I am supposed to use log but I am unsure of how to do that, would you mind explain in as much detail possible)
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