A car sells for $35,000. The car depreciates such that each year it is worth 5 6 of its value from the previous year. Find a model for the value V of the car after t years. V(t)

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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 A car sells for $35,000. The car depreciates such that each year it is worth 
5
6
 of its value from the previous year. Find a model for the value V of the car after t years.
V(t) =
**Depreciation** 

A car sells for $35,000. The car depreciates such that each year it is worth \(\frac{5}{6}\) of its value from the previous year. Find a model for the value \( V \) of the car after \( t \) years.

\[ V(t) = \]

---

The problem asks for a mathematical model to determine the value of a car over time, given its annual depreciation rate.
Transcribed Image Text:**Depreciation** A car sells for $35,000. The car depreciates such that each year it is worth \(\frac{5}{6}\) of its value from the previous year. Find a model for the value \( V \) of the car after \( t \) years. \[ V(t) = \] --- The problem asks for a mathematical model to determine the value of a car over time, given its annual depreciation rate.
**Determine the value (in $) of the car 6 years after it is purchased. (Round your answer to two decimal places.)**

__$ [input box]__
Transcribed Image Text:**Determine the value (in $) of the car 6 years after it is purchased. (Round your answer to two decimal places.)** __$ [input box]__
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