Amir has \(\$25\ 000\) that he does not need for the next \(18\text{ months}\). Two banks offer him the following investment accounts.
| Account P | \(3.6\%\) per annum compounded monthly, together with a \(\$60\) cash reward |
|---|---|
| Account Q | \(3.8\%\) per annum simple interest |
Determine which account gives Amir the greater total value after \(18\text{ months}\), and state how much more he receives.
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