(W) On January 1, 2023, the market capitalization of Firm A was 5 billion dollars, and it increases by 20% every 5 years. On that same day, the capitalization of Firm B was 20 billion dollars, and it has a half life of 4 years. (a) Find a formula for A(t), the market capitalization (in billions of dollars) of Firm A, t years after January 1, 2023. (b) Find a formula for B(t), the market capitalization (in billions of dollars) of Firm B, t years after January 1, 2023. (c) When will the market capitalizations of the two firms be equal?
(W) On January 1, 2023, the market capitalization of Firm A was 5 billion dollars, and it increases by 20% every 5 years. On that same day, the capitalization of Firm B was 20 billion dollars, and it has a half life of 4 years. (a) Find a formula for A(t), the market capitalization (in billions of dollars) of Firm A, t years after January 1, 2023. (b) Find a formula for B(t), the market capitalization (in billions of dollars) of Firm B, t years after January 1, 2023. (c) When will the market capitalizations of the two firms be equal?
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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Transcribed Image Text:3. (W) On January 1, 2023, the market capitalization of Firm A was 5 billion dollars, and it increases by
20% every 5 years. On that same day, the capitalization of Firm B was 20 billion dollars, and it has a
half life of 4 years.
(a) Find a formula for A(t), the market capitalization (in billions of dollars) of Firm A, t years after
January 1, 2023.
(b) Find a formula for B(t), the market capitalization (in billions of dollars) of Firm B, t years after
January 1, 2023.
(c) When will the market capitalizations of the two firms be equal?
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