Solve 0.28=0.20(1+10000/R)

$$0.28 = 0.20 ( 1 + \frac { 10000 } { R } )$$

Solve for R

$$R=25000$$

Steps for Solving Linear Equation

Divide both sides by 0.2.

$$\frac{0.28}{0.2}=1+\frac{10000}{R}$$

Expand \frac{0.28}{0.2} by multiplying both numerator and the denominator by 100.

$$\frac{28}{20}=1+\frac{10000}{R}$$

Reduce the fraction \frac{28}{20} to lowest terms by extracting and canceling out 4.

$$\frac{7}{5}=1+\frac{10000}{R}$$

Variable R cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5R, the least common multiple of 5,R.

$$7R=5R+5\times 10000$$

Multiply 5 and 10000 to get 50000.

$$7R=5R+50000$$

Subtract 5R from both sides.

$$7R-5R=50000$$

Combine 7R and -5R to get 2R.

$$2R=50000$$

Divide both sides by 2.

$$R=\frac{50000}{2}$$

Divide 50000 by 2 to get 25000.

$$R=25000$$