SOLUTION: The formula A=P(1+r)^2 gives the amount A in dollars that P dollars will grow to in 2 years at interest rate (where r is given as a decimal), using compound interest. What interest

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Question 1062458: The formula A=P(1+r)^2 gives the amount A in dollars that P dollars will grow to in 2 years at interest rate (where r is given as a decimal), using compound interest. What interest rate will cause $5000 to grow to $ 5356.13 in 2​ years?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+A+=+P%2A%28+1+%2B+r+%29%5E2+
+5356.13+=+5000%2A%28+1+%2B+r+%29%5E2+
+1.07123+=+%28+1+%2B+r+%29%5E2+
Take the square root of both sides
+1.035+=+1+%2B+r+
+r+=+.035+
This is the rate as a decimal.
The rate as a percent is:
+.035%2A100+=+3.5+
3.5%
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check:
+A+=+P%2A%28+1+%2B+r+%29%5E2+
+5356.13+=+5000%2A%28+1+%2B+.035+%29%5E2+
+1.07123+=+1.035%5E2+
+1.07123+=+1.07123+
OK