Solve 8xgeq94800*(1+2%)

$$8x \geq 94800 \times (1+2 \% )$$

Solve for x

$$x\geq 12087$$

Solution Steps

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$8x\geq 94800\left(1+\frac{1}{50}\right)$$

Convert 1 to fraction \frac{50}{50}.

$$8x\geq 94800\left(\frac{50}{50}+\frac{1}{50}\right)$$

Since \frac{50}{50} and \frac{1}{50} have the same denominator, add them by adding their numerators.

$$8x\geq 94800\times \frac{50+1}{50}$$

Add 50 and 1 to get 51.

$$8x\geq 94800\times \frac{51}{50}$$

Express 94800\times \frac{51}{50} as a single fraction.

$$8x\geq \frac{94800\times 51}{50}$$

Multiply 94800 and 51 to get 4834800.

$$8x\geq \frac{4834800}{50}$$

Divide 4834800 by 50 to get 96696.

$$8x\geq 96696$$

Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.

$$x\geq \frac{96696}{8}$$

Divide 96696 by 8 to get 12087.

$$x\geq 12087$$