MathPlotAI Logo MathPlotAI

Compound Interest and Exponential Functions

Compound Interest and Exponential Functions
Loading the math board and drawing, please wait…
2019-02-19 05:01
FunctionSlider AnimationGraphing
In collections Exploring Exponential & Logarithmic Functions Exploring Exponential & Logarithmic Functions
This example illustrates compound interest and continuous compounding. It uses exponential functions to show how money grows over time. Main GeoGebra commands include functions, slider animation, and locus. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Numeric r(0.12)
  2. Numeric n(1.0)
  3. f(x) = (1 / n * floor((n * x)))
  4. 0
  5. A2 + 0.25
  6. A3 + 0.25
  7. A4 + 0.25
  8. A5 + 0.25
  9. A6 + 0.25
  10. A7 + 0.25
  11. A8 + 0.25
  12. A9 + 0.25
  13. A10 + 0.25
  14. A11 + 0.25
  15. A12 + 0.25
  16. A13 + 0.25
  17. g(x) = (1 + r / n)^((n * f(x)))
  18. g
  19. g(A2)
  20. g(A3)
  21. g(A4)
  22. g(A5)
  23. g(A6)
  24. g(A7)
  25. g(A8)
  26. g(A9)
  27. g(A10)
  28. g(A11)
  29. g(A12)
  30. g(A13)
  31. g(A14)
  32. k(x) = ℯ^((r * x))
  33. h(x) = (1 + r)^(x)
  34. (r * 100)
  35. k
  36. k(A2)
  37. k(A3)
  38. k(A4)
  39. k(A5)
  40. k(A6)
  41. k(A7)
  42. k(A8)
  43. k(A9)
  44. k(A10)
  45. k(A11)
  46. k(A12)
  47. k(A13)
  48. k(A14)