Solve f(t)=25000/1+199e^-1,4t

$$f ( t ) = \frac { 25000 } { 1 + 199 e ^ { - 1,4 t } }$$

Solve for f

$$f=\frac{25000e^{\frac{7t}{5}}}{t\left(e^{\frac{7t}{5}}+199\right)}$$

$$t\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$tf=\frac{25000}{199e^{-\frac{7t}{5}}+1}$$

Divide both sides by t.

$$\frac{tf}{t}=\frac{25000e^{\frac{7t}{5}}}{\left(e^{\frac{7t}{5}}+199\right)t}$$

Dividing by t undoes the multiplication by t.

$$f=\frac{25000e^{\frac{7t}{5}}}{\left(e^{\frac{7t}{5}}+199\right)t}$$

Divide \frac{25000e^{\frac{7t}{5}}}{e^{\frac{7t}{5}}+199} by t.

$$f=\frac{25000e^{\frac{7t}{5}}}{t\left(e^{\frac{7t}{5}}+199\right)}$$