https://file.aiquickdraw.com/mathbot/file/1726704246483gu3cickg.jpg

The image shows the mathematical expression:

\[
\frac{1050}{\left( 1 + \frac{0.065}{12} \right)^3}
\]

This expression seems to represent a financial calculation, possibly related to compound interest or the present value of an annuity. To solve it:

1. First, simplify the denominator:
   \[
   1 + \frac{0.065}{12} = 1 + 0.0054167 = 1.0054167
   \]
   
2. Then raise this value to the power of 3:
   \[
   (1.0054167)^3 \approx 1.0163102
   \]

3. Now divide 1050 by this value:
   \[
   \frac{1050}{1.0163102} \approx 1033.57
   \]

Thus, the result of the expression is approximately **1033.57**.

Would you like a detailed explanation of any part of this solution? Here are five related questions:

1. What does this expression represent in a financial context?
2. How is compound interest calculated in general?
3. What does the "0.065" represent in this formula?
4. Can you explain the significance of dividing by 12 in the formula?
5. What are other applications of this formula in finance?

**Tip**: When dealing with financial formulas, always check if the rate is annual or monthly to adjust calculations correctly!

What is the result of the expression $1050 / (1 + 0.065/12)^3?

Learn how to calculate the value of a compound interest-based mathematical expression. This problem involves simplifying exponents and understanding financial formulas such as the present value of a sum. Suitable for students in Grades 10-12.

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