SOLUTION: Please anyone I need your help A store offers two payment plans. Under the installment plan, you pay 25% down and 25% of the purchase price in each of the next 3 years. If yo

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please anyone I need your help A store offers two payment plans. Under the installment plan, you pay 25% down and 25% of the purchase price in each of the next 3 years. If yo      Log On


   



Question 349244: Please anyone I need your help

A store offers two payment plans. Under the installment plan, you pay 25% down and 25% of the purchase price in each of the next 3 years. If you pay the entire bill immediately, you can take a 10% discount from the purchase price.
Which is a better deal if you can borrow or lend funds at a 5% interest rate?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'll say the purchase price is p
Installment plan:
25% down leaves .75p left to pay off in 3 years
Entire bill plan:
p+-+.1p+=+.9p You pay 90% of the bill immediately
---------------------
The 2nd plan puts .1p in your pocket immediately
With the 1st plan, you can invest .75p at 5% the 1st
year, which is .05%2A.75+=+.0375p
The 2nd year, you have .5p to invest at 5%, which is
.05%2A.5p+=+.025p
The 3rd year, you have .25p to invest at 5%, which is
.05%2A.25p+=+.0125p
Adding these for the 3 years, I get .0375p+%2B+.025p+%2B+.0125p+=+.075p
This looks like the 2nd plan wins, since
.1p is greater than .075p