Solve PV=10000*[1-1/(1+8%)^10/8%]

$$P V = 10000 \times [ \frac { 1 - \frac { 1 } { ( 1 + 8 \% ) ^ { 10 } } } { 8 \% } ]$$

Solve for P

$$P=\frac{13815462556753000000}{205891132094649V}$$

$$V\neq 0$$

Steps for Solving Linear Equation

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$PV=10000\times \frac{1-\frac{1}{\left(1+\frac{2}{25}\right)^{10}}}{\frac{8}{100}}$$

Add 1 and \frac{2}{25} to get \frac{27}{25}.

$$PV=10000\times \frac{1-\frac{1}{\left(\frac{27}{25}\right)^{10}}}{\frac{8}{100}}$$

Calculate \frac{27}{25} to the power of 10 and get \frac{205891132094649}{95367431640625}.

$$PV=10000\times \frac{1-\frac{1}{\frac{205891132094649}{95367431640625}}}{\frac{8}{100}}$$

Divide 1 by \frac{205891132094649}{95367431640625} by multiplying 1 by the reciprocal of \frac{205891132094649}{95367431640625}.

$$PV=10000\times \frac{1-1\times \frac{95367431640625}{205891132094649}}{\frac{8}{100}}$$

Multiply 1 and \frac{95367431640625}{205891132094649} to get \frac{95367431640625}{205891132094649}.

$$PV=10000\times \frac{1-\frac{95367431640625}{205891132094649}}{\frac{8}{100}}$$

Subtract \frac{95367431640625}{205891132094649} from 1 to get \frac{110523700454024}{205891132094649}.

$$PV=10000\times \frac{\frac{110523700454024}{205891132094649}}{\frac{8}{100}}$$

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$PV=10000\times \frac{\frac{110523700454024}{205891132094649}}{\frac{2}{25}}$$

Divide \frac{110523700454024}{205891132094649} by \frac{2}{25} by multiplying \frac{110523700454024}{205891132094649} by the reciprocal of \frac{2}{25}.

$$PV=10000\times \frac{110523700454024}{205891132094649}\times \frac{25}{2}$$

Multiply \frac{110523700454024}{205891132094649} and \frac{25}{2} to get \frac{1381546255675300}{205891132094649}.

$$PV=10000\times \frac{1381546255675300}{205891132094649}$$

Multiply 10000 and \frac{1381546255675300}{205891132094649} to get \frac{13815462556753000000}{205891132094649}.

$$PV=\frac{13815462556753000000}{205891132094649}$$

The equation is in standard form.

$$VP=\frac{13815462556753000000}{205891132094649}$$

Divide both sides by V.

$$\frac{VP}{V}=\frac{\frac{13815462556753000000}{205891132094649}}{V}$$

Dividing by V undoes the multiplication by V.

$$P=\frac{\frac{13815462556753000000}{205891132094649}}{V}$$

Divide \frac{13815462556753000000}{205891132094649} by V.

$$P=\frac{13815462556753000000}{205891132094649V}$$

Solve for V

$$V=\frac{13815462556753000000}{205891132094649P}$$

$$P\neq 0$$

Steps for Solving Linear Equation

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$PV=10000\times \frac{1-\frac{1}{\left(1+\frac{2}{25}\right)^{10}}}{\frac{8}{100}}$$

Add 1 and \frac{2}{25} to get \frac{27}{25}.

$$PV=10000\times \frac{1-\frac{1}{\left(\frac{27}{25}\right)^{10}}}{\frac{8}{100}}$$

Calculate \frac{27}{25} to the power of 10 and get \frac{205891132094649}{95367431640625}.

$$PV=10000\times \frac{1-\frac{1}{\frac{205891132094649}{95367431640625}}}{\frac{8}{100}}$$

Divide 1 by \frac{205891132094649}{95367431640625} by multiplying 1 by the reciprocal of \frac{205891132094649}{95367431640625}.

$$PV=10000\times \frac{1-1\times \frac{95367431640625}{205891132094649}}{\frac{8}{100}}$$

Multiply 1 and \frac{95367431640625}{205891132094649} to get \frac{95367431640625}{205891132094649}.

$$PV=10000\times \frac{1-\frac{95367431640625}{205891132094649}}{\frac{8}{100}}$$

Subtract \frac{95367431640625}{205891132094649} from 1 to get \frac{110523700454024}{205891132094649}.

$$PV=10000\times \frac{\frac{110523700454024}{205891132094649}}{\frac{8}{100}}$$

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$PV=10000\times \frac{\frac{110523700454024}{205891132094649}}{\frac{2}{25}}$$

Divide \frac{110523700454024}{205891132094649} by \frac{2}{25} by multiplying \frac{110523700454024}{205891132094649} by the reciprocal of \frac{2}{25}.

$$PV=10000\times \frac{110523700454024}{205891132094649}\times \frac{25}{2}$$

Multiply \frac{110523700454024}{205891132094649} and \frac{25}{2} to get \frac{1381546255675300}{205891132094649}.

$$PV=10000\times \frac{1381546255675300}{205891132094649}$$

Multiply 10000 and \frac{1381546255675300}{205891132094649} to get \frac{13815462556753000000}{205891132094649}.

$$PV=\frac{13815462556753000000}{205891132094649}$$

Divide both sides by P.

$$\frac{PV}{P}=\frac{\frac{13815462556753000000}{205891132094649}}{P}$$

Dividing by P undoes the multiplication by P.

$$V=\frac{\frac{13815462556753000000}{205891132094649}}{P}$$

Divide \frac{13815462556753000000}{205891132094649} by P.

$$V=\frac{13815462556753000000}{205891132094649P}$$