Solve A=P(1+.025/1)

$$A = P ( 1 + \frac { .025 } { 1 } )$$

Solve for A

$$A=\frac{41P}{40}$$

Solution Steps

Anything divided by one gives itself.

$$A=P\left(1+0.025\right)$$

Add 1 and 0.025 to get 1.025.

$$A=P\times 1.025$$

Solve for P

$$P=\frac{40A}{41}$$

Steps for Solving Linear Equation

Anything divided by one gives itself.

$$A=P\left(1+0.025\right)$$

Add 1 and 0.025 to get 1.025.

$$A=P\times 1.025$$

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

$$P\times 1.025=A$$

The equation is in standard form.

$$1.025P=A$$

Divide both sides of the equation by 1.025, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.025P}{1.025}=\frac{A}{1.025}$$

Dividing by 1.025 undoes the multiplication by 1.025.

$$P=\frac{A}{1.025}$$

Divide A by 1.025 by multiplying A by the reciprocal of 1.025.

$$P=\frac{40A}{41}$$