SOLUTION: You put $500 in an account that earns 4% annual interest. The interest earned each year is added to the principal to create a new principal. Find the total amount in your account a

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Question 1021501: You put $500 in an account that earns 4% annual interest. The interest earned each year is added to the principal to create a new principal. Find the total amount in your account after each year for 3 years.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
After 1st year:
+500+%2B+.04%2A500+=+500%2A%28+1+%2B+.04+%29+
After 2nd year:
+500%2A%28+1+%2B+.04+%29+%2B+.04%2A%28+500%2A%28+1+%2B+.04+%29+%29+
This is a little tricky: factor out ++500%2A%28+1+%2B+.04+%29+
+500%2A%28+1+%2B+.04+%29%2A%28+1+%2B+.04+%29+ ( hope you can see it )
This is:
+500%2A%28+1+%2B+.04+%29%5E2+
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So, the rule is:
+500%2A%28+1+%2B+.04+%29%2An+ is the amount saved after +n+ yrs
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+n+=+3+
+500%2A%28+1+%2B+.04+%29%2A3+=+500%2A1.04%5E3+
Use calculator
+500%2A1.125+=+562.43+
$562.43 after 3 yrs