In the CD savings situation we were looking at growth, now let's investigate a situation where the value of an item, in this case a car, depreciates or loses value over time.  Have you ever heard someone say "the minute you drive the car off the lot half its value is gone"?  While this is a little extreme, it is true that a car does not maintain its value very well.  On average a new car loses 15%-20% of its value each year for at least the first few years that you own it.  Situation:  You bought a new car for $43000.  Assume the cars value depreciates by 20% each year. Complete the following table.  Age of the Car in years Calculation  Value 0 N/A 43000 1 43000*0.8   2      3      4      ... N/A N/A 10      Use the table to find a pattern and develop a formula to model V = value of the car, after n years.    Is the situation linear?     Create a graph showing at least the first 10 years. If you make it on paper, use graph paper. Scale carefully and proper labels.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In the CD savings situation we were looking at growth, now let's investigate a situation where the value of an item, in this case a car, depreciates or loses value over time.  Have you ever heard someone say "the minute you drive the car off the lot half its value is gone"?  While this is a little extreme, it is true that a car does not maintain its value very well.  On average a new car loses 15%-20% of its value each year for at least the first few years that you own it. 

Situation:  You bought a new car for $43000.  Assume the cars value depreciates by 20% each year.

Complete the following table. 

Age of the Car in years Calculation  Value
0 N/A 43000
1 43000*0.8  
2     
3     
4     
... N/A N/A
10     

Use the table to find a pattern and develop a formula to model V = value of the car, after n years.

  

Is the situation linear?    

Create a graph showing at least the first 10 years. If you make it on paper, use graph paper. Scale carefully and proper labels.

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