The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x) = 1.8208e-3387 where x = 0 corresponds to 1998. In what year did/will the exports reach $12.1 billion? > Give your answer as the year, with at least one decimal place Question Help: Video Submit Question
The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x) = 1.8208e-3387 where x = 0 corresponds to 1998. In what year did/will the exports reach $12.1 billion? > Give your answer as the year, with at least one decimal place Question Help: Video Submit Question
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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![**Mathematics Problem on Exponential Growth:**
The value of China's exports of automobiles and parts (in billions of dollars) is approximately \( f(x) = 1.8208e^{0.3387x} \), where \( x = 0 \) corresponds to 1998.
**Problem:**
In what year did/will the exports reach $12.1 billion?
**Solution:**
To find the year when the exports reach $12.1 billion, we need to solve the equation for \( x \):
\[ 12.1 = 1.8208e^{0.3387x} \]
Give your answer as the year, with at least one decimal place.
**Question Help:**
For additional assistance, you can watch the provided instructional video by clicking on the video icon.
[Submit Question]
By following the steps outlined above, you can determine the exact year when China's automobile and parts exports reached or are expected to reach $12.1 billion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a66d878-2f58-4b17-a7a9-b61e2abefcf5%2Fd76288b6-87ab-4720-b5dc-7ae030e96a87%2Fc4vwvpr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Mathematics Problem on Exponential Growth:**
The value of China's exports of automobiles and parts (in billions of dollars) is approximately \( f(x) = 1.8208e^{0.3387x} \), where \( x = 0 \) corresponds to 1998.
**Problem:**
In what year did/will the exports reach $12.1 billion?
**Solution:**
To find the year when the exports reach $12.1 billion, we need to solve the equation for \( x \):
\[ 12.1 = 1.8208e^{0.3387x} \]
Give your answer as the year, with at least one decimal place.
**Question Help:**
For additional assistance, you can watch the provided instructional video by clicking on the video icon.
[Submit Question]
By following the steps outlined above, you can determine the exact year when China's automobile and parts exports reached or are expected to reach $12.1 billion.
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