20. Total revenue. Intel, a computer chip manufacturer, reported $1265 million in total revenue in 1986. In 2016, the total revenue was $59.4 billion. (Source: intel. com.) Assuming an exponential model, find the growth rate k, to four decimal places, and determine the rev- enue function R, with R(t) in billions of dollars, t years after 1986. Then predict the company's total revenue for 2025.
20. Total revenue. Intel, a computer chip manufacturer, reported $1265 million in total revenue in 1986. In 2016, the total revenue was $59.4 billion. (Source: intel. com.) Assuming an exponential model, find the growth rate k, to four decimal places, and determine the rev- enue function R, with R(t) in billions of dollars, t years after 1986. Then predict the company's total revenue for 2025.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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How would you solve number 20?
![## Exponential and Logarithmic Functions
### Problem 20: Total Revenue
**Context:** Intel, a computer chip manufacturer, reported $1265 million in total revenue in 1986. In 2016, the total revenue was $59.4 billion. (Source: intel.com)
**Task:** Assuming an exponential model, find the growth rate \(k\), to four decimal places, and determine the revenue function \(R\), with \(R(t)\) in billions of dollars, \(t\) years after 1986. Then predict the company's total revenue for 2025.
---
### Image Description
The image includes a photograph of a computer chip with a complex network of circuits on a blue-lit motherboard. This visual represents the core product of Intel, reflecting the technological context of the problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F631ebc5c-4ef7-493e-ad4a-59361e0347ad%2Fe5ebfcfa-8e54-45a0-bd46-5e4d6c5c9399%2F20hu52_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Exponential and Logarithmic Functions
### Problem 20: Total Revenue
**Context:** Intel, a computer chip manufacturer, reported $1265 million in total revenue in 1986. In 2016, the total revenue was $59.4 billion. (Source: intel.com)
**Task:** Assuming an exponential model, find the growth rate \(k\), to four decimal places, and determine the revenue function \(R\), with \(R(t)\) in billions of dollars, \(t\) years after 1986. Then predict the company's total revenue for 2025.
---
### Image Description
The image includes a photograph of a computer chip with a complex network of circuits on a blue-lit motherboard. This visual represents the core product of Intel, reflecting the technological context of the problem.
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