Solve B-B_{p}=160*(5/7)^(n+1)

$$B - B _ { p } = 160 \times ( \frac { 5 } { 7 } ) ^ { ( n + 1 ) }$$

Solve for B_p

$$B_{p}=-\frac{800\times \left(\frac{5}{7}\right)^{n}}{7}+B$$

Steps for Solving Linear Equation

Subtract B from both sides.

$$-B_{p}=160\times \left(\frac{5}{7}\right)^{n+1}-B$$

Divide both sides by -1.

$$\frac{-B_{p}}{-1}=\frac{\frac{800\times \left(\frac{5}{7}\right)^{n}}{7}-B}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$B_{p}=\frac{\frac{800\times \left(\frac{5}{7}\right)^{n}}{7}-B}{-1}$$

Divide \frac{800\times \left(\frac{5}{7}\right)^{n}}{7}-B by -1.

$$B_{p}=-\frac{800\times \left(\frac{5}{7}\right)^{n}}{7}+B$$

Solve for B

$$B=\frac{800\times \left(\frac{5}{7}\right)^{n}}{7}+B_{p}$$