Evaluate:
$2,990⎛⎝⎜⎜⎜⎜⎜(1+0.01754)16−10.01754⎞⎠⎟⎟⎟⎟⎟=

The value of the given expression is approximately $ 54,679.13 $.

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Here are 5 related questions to expand your understanding:
1. How does the exponent affect the growth of $ (1 + 0.01754)^{16} $?
2. What happens to the expression if the interest rate (0.01754) increases?
3. How would the result change if the number of periods (16) was increased or decreased?
4. How is this formula related to compound interest calculations?
5. Can you rewrite the expression using logarithms to solve for the time or rate?

**Tip:** When solving expressions involving exponentials, breaking the steps into parts (like powers, subtraction, and division) makes it easier to follow and verify.

Evaluate: $2,990\left(\frac{(1+0.01754)^{16}-1}{0.01754}\right) = ?

Learn how to evaluate the expression $2,990\left(\frac{(1+0.01754)^{16}-1}{0.01754}\right), involving exponential growth and compound interest formulas. This problem demonstrates how interest rates and time periods affect future value. Suitable for students in Grades 10-12.

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