Solve 5=(1.6*10^-4)(1+A)

$$5 = ( 1.6 \cdot 10 ^ { - 4 } ) ( 1 + A )$$

Solve for A

$$A=31249$$

Steps for Solving Linear Equation

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

$$5=1.6\times \frac{1}{10000}\left(1+A\right)$$

Multiply 1.6 and \frac{1}{10000} to get \frac{1}{6250}.

$$5=\frac{1}{6250}\left(1+A\right)$$

Use the distributive property to multiply \frac{1}{6250} by 1+A.

$$5=\frac{1}{6250}+\frac{1}{6250}A$$

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

$$\frac{1}{6250}+\frac{1}{6250}A=5$$

Subtract \frac{1}{6250} from both sides.

$$\frac{1}{6250}A=5-\frac{1}{6250}$$

Subtract \frac{1}{6250} from 5 to get \frac{31249}{6250}.

$$\frac{1}{6250}A=\frac{31249}{6250}$$

Multiply both sides by 6250, the reciprocal of \frac{1}{6250}.

$$A=\frac{31249}{6250}\times 6250$$

Multiply \frac{31249}{6250} and 6250 to get 31249.

$$A=31249$$