Compound interest equation:
,
- Where A - future value, P - invested amount, r- rate, n- number of compounds per year, t- years.
Find equations for each case below.
1) P = 1200, r = 0.09, n = 1, t = 15
- Equation:
- A = 1200(1 + 0.09)¹⁵ = 1200(1.09)¹⁵
2) P = 1200, r = 0.12, n = 4, t = 15
- Equation:
- A = 1200(1 + 0.12/4)⁴*¹⁵ = 1200(1.03)⁶⁰
3) P = 1200, r = 0.12, n = 12, t = 15
- Equation:
- A = 1200(1 + 0.12/12)¹²*¹⁵ = 1200(1.01)¹⁸⁰
4) P = 1200, r = 0.15, n = 2, t = 9
- Equation:
- A = 1200(1 + 0.15/2)²*⁹ = 1200(1.075)¹⁸