math  Additional Info
posted by Jane .
The value of a $20,000 car decreases every, t. The equation below model this situation.
20,000(10.04t) = 13,000
How many years will the car be worth $13,000? Round to the nearest tenth if necessary.
I got 20,000(.96t)= 13,000, but I don't believe gives me the correct answer. Help!
typo  Damon, Saturday, April 21, 2012 at 8:26pm
this does not make sense:
" decreases every, t "
did it say it decreased 4% per year?
that would mean
.96^n =13/20
.96^n = .65
n log .96 = log .65
n = .187/.0177
= 10.6 years
math  Jane, Saturday, April 21, 2012 at 9:38pm
I understand most of the explanation except the part below:
n log .96 = log .65
n = .187/.0177
The answer is 10.6, but I don't know how to get passed .96t = .65. Please continue to help me. Thanks
Respond to this Question
Similar Questions

math
The value of a car decreases at a constant rate as it grows older. When the car is 2 years old, it is worth $23,000. When the car is 5 years old it is worth $15,500. Write and equation relating y (value of the car $) to x (age of car). … 
Algebra I
Please show me how to solve: The value of a $20,000 car decreases every year, t. The equation below models this situation: 20000(10.04t)=13,000. After how many years will the car be worth $13,000. Round to the nearest tenth if necessary. 
math
The value of a $20,000 car decreases every year, t. the equation below models this sitution: 20000(1  0.04t) = 13,000. Please explain how to work this problem. 
math
The value of a $20,000 car decreases every, t. The equation below model this situation. 20,000(10.04t) = 13,000 How many years will the car be worth $13,000? 
math  Help
The value of a $20,000 car decreases every year, t. The equation below model this situation. 20,000(10.04t) = 13,000 How many years will the car be worth $13,000? 
math
The value of a $20,000 car decreases every year, t. The equation below models this situation. 20000(1  0.04t) = 13,000 After how many years will the car be worth $13,000? 
Math
The equation V = 2000t + 20,000 describes the value in dollars of a certain model of car after it is t years old. If a car is worth $14,000, find the age of the car. 
EASY Math
The equation V = 2000t + 20,000 describes the value in dollars of a certain model of car after it is t years old. If a car is worth $14,000, find the age of the car. 
College Algebra
A cars value is declining exponentially. The car is currently 3 years old and has a value of 18,000. The car sold for 26,000 brand new. Find the rate at which the value of the car is decreasing. So far my equation is 18,000=26,000 … 
math
The value of a car decreases at a constant rate as it grows older. When the car is 2 years old, it is worth $23,000. When the car is 5 years old it is worth $15,500. Write and equation relating y (value of the car $) to x (age of car).