An n vestment firm estimates that the Value port folio af terA years s A m lhon do llars where ACH) = 500 In (2t+10) a. How long, will take for the account to double its intidl valve? b.How long wllt take for the accaunt to friple its initial valve
An n vestment firm estimates that the Value port folio af terA years s A m lhon do llars where ACH) = 500 In (2t+10) a. How long, will take for the account to double its intidl valve? b.How long wllt take for the accaunt to friple its initial valve
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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![**Transcription for Educational Website**
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An investment firm estimates that the value of its portfolio after \( t \) years is \( A \) million dollars, where
\[ A(t) = 500 \ln(2t + 10) \]
**a. How long will it take for the account to double its initial value?**
**b. How long will it take for the account to triple its initial value?**
---
**Explanation:**
The equation \( A(t) = 500 \ln(2t + 10) \) represents the estimated growth of the investment portfolio over time. Here, \( A(t) \) denotes the amount in millions of dollars, \( t \) is the time in years, and \(\ln\) is the natural logarithm.
The tasks involve using this formula to determine the amount of time needed to double and triple the initial value of the portfolio.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57fb845d-846a-46ba-b8b8-1eb11c40b14f%2Fdc00c540-7f7d-4543-8afc-02c562cf930c%2Fr5tq47j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
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An investment firm estimates that the value of its portfolio after \( t \) years is \( A \) million dollars, where
\[ A(t) = 500 \ln(2t + 10) \]
**a. How long will it take for the account to double its initial value?**
**b. How long will it take for the account to triple its initial value?**
---
**Explanation:**
The equation \( A(t) = 500 \ln(2t + 10) \) represents the estimated growth of the investment portfolio over time. Here, \( A(t) \) denotes the amount in millions of dollars, \( t \) is the time in years, and \(\ln\) is the natural logarithm.
The tasks involve using this formula to determine the amount of time needed to double and triple the initial value of the portfolio.
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