Solve A=2,000(1+0.195/2)^2(4)

$$A = 2,000 ( 1 + \frac { 0.195 } { 2 } ) ^ { 2 ( 4 ) }$$

Solve for A

$$A=4209.8461719497555947296142578125$$

Steps for Solving Linear Equation

Expand \frac{0.195}{2} by multiplying both numerator and the denominator by 1000.

$$A=2000\left(1+\frac{195}{2000}\right)^{2\times 4}$$

Reduce the fraction \frac{195}{2000} to lowest terms by extracting and canceling out 5.

$$A=2000\left(1+\frac{39}{400}\right)^{2\times 4}$$

Add 1 and \frac{39}{400} to get \frac{439}{400}.

$$A=2000\times \left(\frac{439}{400}\right)^{2\times 4}$$

Multiply 2 and 4 to get 8.

$$A=2000\times \left(\frac{439}{400}\right)^{8}$$

Calculate \frac{439}{400} to the power of 8 and get \frac{1379482393624495913281}{655360000000000000000}.

$$A=2000\times \frac{1379482393624495913281}{655360000000000000000}$$

Multiply 2000 and \frac{1379482393624495913281}{655360000000000000000} to get \frac{1379482393624495913281}{327680000000000000}.

$$A=\frac{1379482393624495913281}{327680000000000000}$$

Assign A

$$A≔4209.8461719497555947296142578125$$