Solve y=800(1+0.025/12)^6

$$y = 800 ( 1 + \frac { 0.025 } { 12 } ) ^ { 6 }$$

Solve for y

$$y = \frac{12384271322498881}{15288238080000} = 810\frac{798477698880}{15288238080000} \approx 810.052228236$$

Steps for Solving Linear Equation

Expand \frac{0.025}{12} by multiplying both numerator and the denominator by 1000.

$$y=800\left(1+\frac{25}{12000}\right)^{6}$$

Reduce the fraction \frac{25}{12000} to lowest terms by extracting and canceling out 25.

$$y=800\left(1+\frac{1}{480}\right)^{6}$$

Add 1 and \frac{1}{480} to get \frac{481}{480}.

$$y=800\times \left(\frac{481}{480}\right)^{6}$$

Calculate \frac{481}{480} to the power of 6 and get \frac{12384271322498881}{12230590464000000}.

$$y=800\times \frac{12384271322498881}{12230590464000000}$$

Multiply 800 and \frac{12384271322498881}{12230590464000000} to get \frac{12384271322498881}{15288238080000}.

$$y=\frac{12384271322498881}{15288238080000}$$

Assign y

$$y≔\frac{12384271322498881}{15288238080000}$$