Math Problem Statement

(1+0.025)^50

Solution

The result of (1+0.025)50(1 + 0.025)^{50} is approximately 3.43713.4371.

Would you like a more detailed explanation or have any questions?

Here are 5 related questions you might find interesting:

  1. What would (1+0.025)100(1 + 0.025)^{100} be?
  2. How does the exponent affect the growth of the result in exponential functions?
  3. How would the result change if the interest rate was 0.050.05 instead of 0.0250.025?
  4. How can we approximate the result using logarithms?
  5. What is the continuous compound interest formula, and how does it compare?

Tip: Exponential growth becomes significant as the exponent increases, especially in financial and population growth models!

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Math Problem Analysis

Mathematical Concepts

Exponential Growth
Compound Interest

Formulas

(1 + r)^n
Compound interest formula: A = P(1 + r/n)^(nt)

Theorems

Exponential Growth Theorem
Binomial Theorem (for expanding powers of binomials)

Suitable Grade Level

Grades 10-12