Dean is planning to purchase a new Nissan Altima which costs $26,865.  He has saved up $3,200 to put toward it.  He is thinking about getting a loan for it from his credit union, but he could also keep driving his beat-up old car for a while longer and save up cash for the new one.   If Dean puts his $3,200 in his savings account, which has an APR of 1.2%, how much would he have to deposit every month to have the $26,865 saved up after five years?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 57SE: Karl has two years to save $10000 to buy a used car when he graduates. To the nearest dollar, what...
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Dean is planning to purchase a new Nissan Altima which costs $26,865.  He has saved up $3,200 to put toward it.  He is thinking about getting a loan for it from his credit union, but he could also keep driving his beat-up old car for a while longer and save up cash for the new one.

 

If Dean puts his $3,200 in his savings account, which has an APR of 1.2%, how much would he have to deposit every month to have the $26,865 saved up after five years?

 

Assume Dean puts his $3,200 in his savings account, which has an APR of 1.2%.  You've already determined how much he needs to add to the account  every month in order to have all $26,865 saved up to pay cash for the car in five years.  If Dean decides to do this, how much of his own money will he have put into the savings account to pay for his car? Don't forget the initial deposit as well as the monthly payments.

 

You've already calculated the total Dean would spend on the car if he gets the loan, and also the total he would spend on the car if he saves up for it.  Use those two numbers to determine how much less he would pay for the car by saving up for it instead of getting the loan.

 

Assume Dean puts his $3,200 in his savings account, which has an APR of 1.2%. Dean knows he could afford the monthly loan payment that we calculated earlier.  If he deposits that amount into his savings account every month how many years will it take him to save up for the car? Round your answer to two decimal places.

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