Exponential Function Solution Equation - Decay (Discrete, Mis-matched Time Units) - Equation to Time
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Question

Rearrange this equation to solve for the time given this model of a balance of a charitable endowment (weekly disbursements)?

$$121 =900\cdot (1-0.04)^{(\frac{t}{7})}$$

Accepted Answer

$$t = 7 \cdot \frac{\ln{\frac{121}{900}}}{\ln{(1-0.04)}}$$

Answer

$$t = \frac{1}{7} \cdot \frac{\ln{\frac{121}{900}}}{\ln{(1+0.04)}}$$

Answer

$$t = 7 \cdot \frac{\ln{121 \cdot 900}}{\ln{(1-0.04)}}$$