SOLUTION: Preston received a paycheck for $900.00 and he wants to invest it in a savings account. A savings account at bank A earns 4% interest compounded monthly and a savings account at ba

Algebra ->  Statistics  -> Central-limit-theorem -> SOLUTION: Preston received a paycheck for $900.00 and he wants to invest it in a savings account. A savings account at bank A earns 4% interest compounded monthly and a savings account at ba      Log On


   



Question 1139135: Preston received a paycheck for $900.00 and he wants to invest it in a savings account. A savings account at bank A earns 4% interest compounded monthly and a savings account at bank B earns 5% simple interest. If Preston plans to deposit the $900.00 and leave it in the account for 3 years, at which bank would he earn more interest?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Bank A:
+A+=+P%2A%28+1+%2B+r%2Fn+%29%5E%28n%2At%29+
+A+=+900%2A%28+1+%2B+.04%2F12+%29%5E%28+12%2A3+%29+
+A+=+900%2A%28+1.00333+%29%5E36+
+A+=+900%2A1.12727+
+A+=+1014.54+
+I+=+1014.54+-+900+
+I+=+114.54+
----------------------------
Bank B:
+I+=+P%2Ar%2At+
+I+%2B+P+=+P%2A%28+1+%2B+r%2At+%29+
+I+%2B+P+=+900%2A%28+1+%2B+.05%2A3+%29+
+I+%2B+P+=+900%2A1.15+
+I+%2B+P+=+1035+
+I+=+1035+-+900+
+I+=+135+
---------------------------
Bank B earns the most interest
check the math