SOLUTION: If 2500 dollars invested in a bank account for 6 years, compounded quarterly, amounts to 3269.98 dollars, what is the interest rate paid by the account? NOTE:Give your answer

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: If 2500 dollars invested in a bank account for 6 years, compounded quarterly, amounts to 3269.98 dollars, what is the interest rate paid by the account? NOTE:Give your answer       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1034891: If 2500 dollars invested in a bank account for 6 years, compounded quarterly, amounts to 3269.98 dollars, what is the interest rate paid by the account?
NOTE:Give your answer to the nearest tenth of a percent.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+A+=+P%2A%28+1+%2B+r%2Fn+%29%5E%28n%2At%29+
+P+=+2500+
+t+=+6+
+n+=+4+
+A+=+3269.98+
-----------------
+3269.98+=+2500%2A%28+1+%2B+r%2F4+%29%5E%284%2A6%29+
+1.307992+=+%28+1+%2B+r%2F4+%29%5E24+
+log%28+1.307992+%29+=+24%2Alog%28%28+1+%2B+r%2F4+%29%29+
+.116605=+24%2Alog%28%28+1+%2B+r%2F4+%29%29+
+.0048585+=+log%28%28+1+%2B+r%2F4+%29%29+
+10%5E.0048585+=+1+%2B+r%2F4+
+1.01125+=+1+%2B+r%2F4+
+r%2F4+=+.01125+
+r+=+.045+
+.045%2A100+=+4.5+
The interest rate is 4.5%
------------------------
check:
+3269.98+=+2500%2A%28+1+%2B+r%2F4+%29%5E%284%2A6%29+
+3269.98+=+2500%2A%28+1+%2B+.045%2F4+%29%5E%284%2A6%29+
+3269.98+=+2500%2A1.01125%5E24+
+1.307992+=+1.01125%5E24+
+1.307992+=+1.307991+
( with My TI calculator -close enough )
Hope I got it!