Solve 38080=28000(1+0.48*t)

$$38080 = 28000 ( 1 + 0.48 \cdot t )$$

Solve for t

$$t=0.75$$

Steps for Solving Linear Equation

Divide both sides by 28000.

$$\frac{38080}{28000}=1+0.48t$$

Reduce the fraction \frac{38080}{28000} to lowest terms by extracting and canceling out 1120.

$$\frac{34}{25}=1+0.48t$$

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

$$1+0.48t=\frac{34}{25}$$

Subtract 1 from both sides.

$$0.48t=\frac{34}{25}-1$$

Convert 1 to fraction \frac{25}{25}.

$$0.48t=\frac{34}{25}-\frac{25}{25}$$

Since \frac{34}{25} and \frac{25}{25} have the same denominator, subtract them by subtracting their numerators.

$$0.48t=\frac{34-25}{25}$$

Subtract 25 from 34 to get 9.

$$0.48t=\frac{9}{25}$$

Divide both sides by 0.48.

$$t=\frac{\frac{9}{25}}{0.48}$$

Express \frac{\frac{9}{25}}{0.48} as a single fraction.

$$t=\frac{9}{25\times 0.48}$$

Multiply 25 and 0.48 to get 12.

$$t=\frac{9}{12}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$t=\frac{3}{4}$$