Solve 24P/100+910=P(1+10/100)^3

$$\frac { 24 P } { 100 } + 910 = P ( 1 + \frac { 10 } { 100 } ) ^ { 3 }$$

Solve for P

$$P = \frac{910000}{1091} = 834\frac{106}{1091} \approx 834.09715857$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100.

$$24P+91000=100P\left(1+\frac{10}{100}\right)^{3}$$

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

$$24P+91000=100P\left(1+\frac{1}{10}\right)^{3}$$

Add 1 and \frac{1}{10} to get \frac{11}{10}.

$$24P+91000=100P\times \left(\frac{11}{10}\right)^{3}$$

Calculate \frac{11}{10} to the power of 3 and get \frac{1331}{1000}.

$$24P+91000=100P\times \frac{1331}{1000}$$

Multiply 100 and \frac{1331}{1000} to get \frac{1331}{10}.

$$24P+91000=\frac{1331}{10}P$$

Subtract \frac{1331}{10}P from both sides.

$$24P+91000-\frac{1331}{10}P=0$$

Combine 24P and -\frac{1331}{10}P to get -\frac{1091}{10}P.

$$-\frac{1091}{10}P+91000=0$$

Subtract 91000 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1091}{10}P=-91000$$

Multiply both sides by -\frac{10}{1091}, the reciprocal of -\frac{1091}{10}.

$$P=-91000\left(-\frac{10}{1091}\right)$$

Multiply -91000 and -\frac{10}{1091} to get \frac{910000}{1091}.

$$P=\frac{910000}{1091}$$