Solve 50000=A((1+0.1)^10-1/0.1)(1+0.1)

$$50000 = A ( \frac { ( 1 + 0.1 ) ^ { 10 } - 1 } { 0.1 } ) ( 1 + 0.1 )$$

Solve for A

$$A = \frac{500000000000000}{175311670611} = 2852\frac{11115417428}{175311670611} \approx 2852.063403751$$

Steps for Solving Linear Equation

Add 1 and 0.1 to get 1.1.

$$50000=A\times \frac{1.1^{10}-1}{0.1}\left(1+0.1\right)$$

Calculate 1.1 to the power of 10 and get 2.5937424601.

$$50000=A\times \frac{2.5937424601-1}{0.1}\left(1+0.1\right)$$

Subtract 1 from 2.5937424601 to get 1.5937424601.

$$50000=A\times \frac{1.5937424601}{0.1}\left(1+0.1\right)$$

Expand \frac{1.5937424601}{0.1} by multiplying both numerator and the denominator by 10000000000.

$$50000=A\times \frac{15937424601}{1000000000}\left(1+0.1\right)$$

Add 1 and 0.1 to get 1.1.

$$50000=A\times \frac{15937424601}{1000000000}\times 1.1$$

Multiply \frac{15937424601}{1000000000} and 1.1 to get \frac{175311670611}{10000000000}.

$$50000=A\times \frac{175311670611}{10000000000}$$

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

$$A\times \frac{175311670611}{10000000000}=50000$$

Multiply both sides by \frac{10000000000}{175311670611}, the reciprocal of \frac{175311670611}{10000000000}.

$$A=50000\times \frac{10000000000}{175311670611}$$

Multiply 50000 and \frac{10000000000}{175311670611} to get \frac{500000000000000}{175311670611}.

$$A=\frac{500000000000000}{175311670611}$$