A new car that sells for $19,000 depreciates (decreases in value) 21% each year. What is the decay factor, b? 0.79 0.21 79 21
Answer: 0.79
Step-by-step explanation:
Given: The cost price of car = $19,000
The rate of depreciation = 21 % = 0.02
The exponential decay equation (depreciation) is given by :-
\(y=Ab^x\), where A is the initial amount and b is the decay factor for x years such that \(b=(1-r)\), where r is the rate of decay.
If we substitute the value of r , we get
The decay factor =\(b = (1-0.21)=0.79\)