A certalin contrus MPP 94)=4,000-480e allwh ddlars per year %3D CO 2425) Nhere Tistime in years Since Jan 201O. tind an expresson furthetotal GPP GH) ot sud gods inthy ccntry from Jon 2010 to time T tstimate, tothe nearest Dillion dollars, the Cuntays total Gpp from Janza0 through Jne? CThe actual valve Ile,158 billuendollars)
A certalin contrus MPP 94)=4,000-480e allwh ddlars per year %3D CO 2425) Nhere Tistime in years Since Jan 201O. tind an expresson furthetotal GPP GH) ot sud gods inthy ccntry from Jon 2010 to time T tstimate, tothe nearest Dillion dollars, the Cuntays total Gpp from Janza0 through Jne? CThe actual valve Ile,158 billuendollars)
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**
---
### Estimating a Country's GDP Over Time
**GDP Formula:**
The GDP \( g(t) \) of a certain country is given by:
\[ g(t) = 1,000 + 480e^{-0.03(t-25)} \]
- **Where:**
- \( t \) is the time in years since January 1, 2010.
- \( e \) represents the exponential constant.
---
**Objective:**
Include an expression of sold goods into the calculation for the total GDP \( G(T) \) of this country from January 2010 to time \( T \).
- **Expression for GDP:**
\[ G(T) = \int \text{[Expression indicating the integration over time]} \]
**Estimate:**
Estimate to the nearest billion dollars the country's total GDP from January 2010 through the end of 2020.
- **Actual Value:**
11,158 billion dollars
---
This transcription simplifies the explanation and provides clarity on the components of the GDP estimation formula, the variables involved, and the objective to calculate and estimate the economic growth over a specified period.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a99b715-ae97-435d-a9ad-86687946c164%2F25a2d596-5e7c-4570-af14-9c900d7aeb33%2Fqfn9ayb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
---
### Estimating a Country's GDP Over Time
**GDP Formula:**
The GDP \( g(t) \) of a certain country is given by:
\[ g(t) = 1,000 + 480e^{-0.03(t-25)} \]
- **Where:**
- \( t \) is the time in years since January 1, 2010.
- \( e \) represents the exponential constant.
---
**Objective:**
Include an expression of sold goods into the calculation for the total GDP \( G(T) \) of this country from January 2010 to time \( T \).
- **Expression for GDP:**
\[ G(T) = \int \text{[Expression indicating the integration over time]} \]
**Estimate:**
Estimate to the nearest billion dollars the country's total GDP from January 2010 through the end of 2020.
- **Actual Value:**
11,158 billion dollars
---
This transcription simplifies the explanation and provides clarity on the components of the GDP estimation formula, the variables involved, and the objective to calculate and estimate the economic growth over a specified period.
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