Solve 10000=x(1+0.075)^5

$$10000 = x ( 1 + 0.075 ) ^ { 5 }$$

Solve for x

$$x = \frac{1024000000000}{147008443} = 6965\frac{86194505}{147008443} \approx 6965.586323501$$

Steps for Solving Linear Equation

Add 1 and 0.075 to get 1.075.

$$10000=x\times 1.075^{5}$$

Calculate 1.075 to the power of 5 and get 1.435629326171875.

$$10000=x\times 1.435629326171875$$

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

$$x\times 1.435629326171875=10000$$

Divide both sides by 1.435629326171875.

$$x=\frac{10000}{1.435629326171875}$$

Expand \frac{10000}{1.435629326171875} by multiplying both numerator and the denominator by 1000000000000000.

$$x=\frac{10000000000000000000}{1435629326171875}$$

Reduce the fraction \frac{10000000000000000000}{1435629326171875} to lowest terms by extracting and canceling out 9765625.

$$x=\frac{1024000000000}{147008443}$$