SOLUTION: Fleet Street Savings Bank pays interest at the rate of 4.25%/year compounded weekly in a savings account, whereas Washington Bank pays interest at the rate of 4.125%/year compoun

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Fleet Street Savings Bank pays interest at the rate of 4.25%/year compounded weekly in a savings account, whereas Washington Bank pays interest at the rate of 4.125%/year compoun      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1143772: Fleet Street Savings Bank pays interest at the rate of 4.25%/year compounded weekly in a savings account, whereas Washington Bank pays interest at the rate of 4.125%/year compounded daily (assume a 365-day year). Which bank offers a better rate of interest?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Fleet bank:
+A+=+P%2A%28+1+%2B+r%2Fn+%29%5E%28n%2At%29+
I can use any +P+, so I'll say:
+P+=+100+ and also:
+t+=+1+ yr
+A+=+100%2A%28+1+%2B+.0425%2F52+%29%5E%28+52%2A1+%29+
+A+=+100%2A1.0008173%5E52+
+A+=+100%2A1.0434+
+A+=+104.34+
The % gain is:
+%28+104.34+-+100+%29%2F100+
+.0434+
4.34% gain
--------------------------------
Washington bank:
+A+=+100%2A%28+1+%2B+.04125%2F365+%29%5E%28+365%2A1+%29+
+A+=+100%2A1.04211+
+A+=+104.211+
+4.211%2F100+=+.04211+
4.211% gain
------------------------------
Fleet bank has higher interest rate