Math

Exponential Function Calculator

It is the same formula, with b = 1 + interest rate per period.

Evaluate y = a · bˣ for given values.

Calculated Output

y = a · bˣ 162.89

Formula: y = a · bˣ

Step-by-Step Breakdown

1. Values used:

2. Initial value a = 100

3. Base b = 1.05

4. Exponent x = 10

6. y = a · bˣ = 162.89

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The math behind it

y = a · bˣ. If b > 1 it grows; if 0 < b < 1 it decays. a is the value at x = 0.

100 × 1.05¹⁰ ≈ 162.89 (5% growth for 10 periods).

How does this relate to compound interest?

It is the same formula, with b = 1 + interest rate per period.