Solve 5=(1.4*10^-4)(1+A)

$$5 = ( 1.4 \cdot 10 ^ { - 4 } ) ( 1 + A )$$

Solve for A

$$A = \frac{249993}{7} = 35713\frac{2}{7} \approx 35713.285714286$$

Steps for Solving Linear Equation

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$5=1.4\times \frac{1}{10000}\left(1+A\right)$$

Multiply 1.4 and \frac{1}{10000} to get \frac{7}{50000}.

$$5=\frac{7}{50000}\left(1+A\right)$$

Use the distributive property to multiply \frac{7}{50000} by 1+A.

$$5=\frac{7}{50000}+\frac{7}{50000}A$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{7}{50000}+\frac{7}{50000}A=5$$

Subtract \frac{7}{50000} from both sides.

$$\frac{7}{50000}A=5-\frac{7}{50000}$$

Subtract \frac{7}{50000} from 5 to get \frac{249993}{50000}.

$$\frac{7}{50000}A=\frac{249993}{50000}$$

Multiply both sides by \frac{50000}{7}, the reciprocal of \frac{7}{50000}.

$$A=\frac{249993}{50000}\times \frac{50000}{7}$$

Multiply \frac{249993}{50000} and \frac{50000}{7} to get \frac{249993}{7}.

$$A=\frac{249993}{7}$$