Using the interest formula A=P(1+rt), solve for the indicated variable. Solve for P

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?

---

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.

Learn how to solve for the principal amount (P) in the simple interest formula A = P(1 + rt). This step-by-step guide covers key algebraic concepts and equation manipulation techniques. Ideal for students in Grades 9-12 looking to understand simple interest calculations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation