50000=10000(1.0725)^t +25000(1.0725)^(t+5) +15000(1.0725)^(t+7)

asked by guest
on Mar 24, 2025 at 2:17 pm



You asked:

Solve the equation 50000=100001.0725t+250001.0725t+5+150001.0725t+750000 = 10000 \cdot {1.0725}^{t} + 25000 \cdot {1.0725}^{t + 5} + 15000 \cdot {1.0725}^{t + 7} for the variable tt.

MathBot Answer:

The solution is: t=log(22924090259486645327)+log(16384000000000000000)log(429)+2log(20)4.7988527t = - \frac{- \log{\left(22924090259486645327 \right)} + \log{\left(16384000000000000000 \right)}}{- \log{\left(429 \right)} + 2 \log{\left(20 \right)}} \approx -4.7988527