\( I=P r t ; \) solve for \( P \)

To solve for \( P \) in the equation \( I = P r t \), you need to isolate \( P \). Start by dividing both sides of the equation by \( r t \): \[ P = \frac{I}{r t} \] And there you have it! Now \( P \) is expressed in terms of \( I \), \( r \), and \( t \). While this formula is quite straightforward, it’s essential to remember that \( r \) is the interest rate and \( t \) is the time period. They can often cause confusion, especially if you don’t express them in the same units! For instance, if \( t \) is in years, make sure \( r \) is also in yearly terms; otherwise, you might calculate the wrong value for \( P \).