To solve for $P$ in the interest formula $A = P(1 + rt)$:

Given:

$A = P(1 + rt)$

Steps:

1. Isolate $P$ by dividing both sides by $(1 + rt)$: $\frac{A}{1 + rt} = P$

2. Rewrite the equation: $P = \frac{A}{1 + rt}$

Final Answer:

$P = \frac{A}{1 + rt}$

Would you like further details or have any questions?

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Here are five related questions to explore this topic further:

1. How would you solve for $r$ in the same formula $A = P(1 + rt)$?
2. What are some real-life applications of the formula $A = P(1 + rt)$?
3. If $A$, $r$, and $t$ are known, how would you calculate $P$ using specific values?
4. How does this formula change if the interest is compounded instead of simple interest?
5. What does each variable represent in the formula $A = P(1 + rt)$?

Tip: Always check the units of time $t$ and rate $r$ in these formulas to ensure consistency.