The value, V, of a Tiffany lamp, in dollars, t years after 1975 is given by V(t) = 225(1.15)t . Which of the following expressions is the average value of the lamp between 1975 and 2020? 45 + S 225(1.15)*dt 45 S 225(1.15)*dt V(0)+V(45) O None of the others are correct. O V(45)–V(0) 45 45 2 S 225(1.15)*dt
The value, V, of a Tiffany lamp, in dollars, t years after 1975 is given by V(t) = 225(1.15)t . Which of the following expressions is the average value of the lamp between 1975 and 2020? 45 + S 225(1.15)*dt 45 S 225(1.15)*dt V(0)+V(45) O None of the others are correct. O V(45)–V(0) 45 45 2 S 225(1.15)*dt
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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![**Problem Statement:**
The value, \( V \), of a Tiffany lamp, in dollars, \( t \) years after 1975 is given by \( V(t) = 225(1.15)^t \). Which of the following expressions is the average value of the lamp between 1975 and 2020?
**Options:**
- Option A:
\[
\frac{1}{45} \int_{0}^{45} 225(1.15)^t \, dt
\]
- Option B:
\[
\int_{0}^{45} 225(1.15)^t \, dt
\]
- Option C:
\[
\frac{V(0) + V(45)}{2}
\]
- Option D:
None of the others are correct.
- Option E:
\[
\frac{V(45) - V(0)}{45}
\]
- Option F:
\[
\frac{1}{2} \int_{0}^{45} 225(1.15)^t \, dt
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0dcc51e9-e947-4215-91cf-9c9e09d6c1cf%2Fa8d6d8c9-312d-4b7f-84b6-f6ebd373c75b%2Fsf847j_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
The value, \( V \), of a Tiffany lamp, in dollars, \( t \) years after 1975 is given by \( V(t) = 225(1.15)^t \). Which of the following expressions is the average value of the lamp between 1975 and 2020?
**Options:**
- Option A:
\[
\frac{1}{45} \int_{0}^{45} 225(1.15)^t \, dt
\]
- Option B:
\[
\int_{0}^{45} 225(1.15)^t \, dt
\]
- Option C:
\[
\frac{V(0) + V(45)}{2}
\]
- Option D:
None of the others are correct.
- Option E:
\[
\frac{V(45) - V(0)}{45}
\]
- Option F:
\[
\frac{1}{2} \int_{0}^{45} 225(1.15)^t \, dt
\]
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