Solve 729=P(1-10/100)^3

$$729 = P ( 1 - \frac { 10 } { 100 } ) ^ { 3 }$$

Solve for P

$$P=1000$$

Steps for Solving Linear Equation

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$729=P\left(1-\frac{1}{10}\right)^{3}$$

Subtract \frac{1}{10} from 1 to get \frac{9}{10}.

$$729=P\times \left(\frac{9}{10}\right)^{3}$$

Calculate \frac{9}{10} to the power of 3 and get \frac{729}{1000}.

$$729=P\times \frac{729}{1000}$$

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

$$P\times \frac{729}{1000}=729$$

Multiply both sides by \frac{1000}{729}, the reciprocal of \frac{729}{1000}.

$$P=729\times \frac{1000}{729}$$

Multiply 729 and \frac{1000}{729} to get 1000.

$$P=1000$$