Solve P=2000/0.025[1-(1+0.025)^-10]

$$P = \frac { 2000 } { 0.025 } [ 1 - ( 1 + 0.025 ) ^ { - 10 } ]$$

Solve for P

$$P = \frac{234951944812192080000}{13422659310152401} = 17504\frac{1716247284462080}{13422659310152400} \approx 17504.127861942$$

Steps for Solving Linear Equation

Expand \frac{2000}{0.025} by multiplying both numerator and the denominator by 1000.

$$P=\frac{2000000}{25}\left(1-\left(1+0.025\right)^{-10}\right)$$

Divide 2000000 by 25 to get 80000.

$$P=80000\left(1-\left(1+0.025\right)^{-10}\right)$$

Add 1 and 0.025 to get 1.025.

$$P=80000\left(1-1.025^{-10}\right)$$

Calculate 1.025 to the power of -10 and get \frac{10485760000000000}{13422659310152401}.

$$P=80000\left(1-\frac{10485760000000000}{13422659310152401}\right)$$

Subtract \frac{10485760000000000}{13422659310152401} from 1 to get \frac{2936899310152401}{13422659310152401}.

$$P=80000\times \frac{2936899310152401}{13422659310152401}$$

Multiply 80000 and \frac{2936899310152401}{13422659310152401} to get \frac{234951944812192080000}{13422659310152401}.

$$P=\frac{234951944812192080000}{13422659310152401}$$

Assign P

$$P≔\frac{234951944812192080000}{13422659310152401}$$