10=17.02(1-e^4.7*t/0.035)
You asked:
Investigate the equation: \(10 = 17.02 \cdot \left(1 - \frac{{e}^{4.7} \cdot t}{0.035}\right)\).
MathBot Answer:
The solution is: \[t = \frac{2457}{170200 e^{\frac{47}{10}}} \approx 0.00013129904\]
\[\begin{aligned}10 &= t \left(- \frac{3404 e^{4.7}}{7}\right) + 17.02\\t \frac{3404 e^{4.7}}{7} &= 7.02\\t &= \frac{2457}{170200 e^{4.7}}\end{aligned}\]
\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).