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To solve for \( t \) in the formula \( A = P(1 + rt) \), we'll rearrange the formula to isolate \( t \).

### Given:
- \( A = 1057 \)
- \( P = 700 \)
- \( r = 17\% = 0.17 \)

### Formula:
\[
A = P(1 + rt)
\]

### Steps:
1. Substitute the given values into the equation:
   \[
   1057 = 700(1 + 0.17t)
   \]
   
2. Divide both sides by 700 to isolate the term with \( t \):
   \[
   \frac{1057}{700} = 1 + 0.17t
   \]

3. Calculate the left-hand side:
   \[
   1.51 = 1 + 0.17t
   \]

4. Subtract 1 from both sides:
   \[
   0.51 = 0.17t
   \]

5. Divide both sides by 0.17 to solve for \( t \):
   \[
   t = \frac{0.51}{0.17} \approx 3
   \]

### Answer:
\[
t \approx 3 \text{ years}
\]

Would you like more details on any step? Here are some related questions:

1. How do you rearrange equations to solve for a specific variable?
2. What is the interpretation of the time \( t \) in financial calculations?
3. How does changing the interest rate \( r \) affect the time \( t \)?
4. Can this formula be used for compound interest? Why or why not?
5. What happens to the value of \( t \) if the principal \( P \) increases?

**Tip:** When dealing with percentage rates in formulas, always convert the percentage to a decimal by dividing by 100.

Use the formula A = P(1 + rt), to find the indicated quantity. A = 1057; P = 700; r = 17%; t = ?

Learn how to solve for t in the simple interest formula A = P(1 + rt). Given A = 1057, P = 700, and r = 17%, this step-by-step solution shows how to calculate the time period required. Suitable for students in Grades 9-11.

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