Solve 100=A_{100}(0.5)1000/25000

$$100 = A _ { 100 } ( 0.5 ) \frac { 1000 } { 25000 }$$

Solve for A_100

$$A_{100}=5000$$

Steps for Solving Linear Equation

Reduce the fraction \frac{1000}{25000} to lowest terms by extracting and canceling out 1000.

$$100=A_{100}\times 0.5\times \frac{1}{25}$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$100=A_{100}\times \frac{1}{2}\times \frac{1}{25}$$

Multiply \frac{1}{2} times \frac{1}{25} by multiplying numerator times numerator and denominator times denominator.

$$100=A_{100}\times \frac{1\times 1}{2\times 25}$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 25}.

$$100=A_{100}\times \frac{1}{50}$$

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

$$A_{100}\times \frac{1}{50}=100$$

Multiply both sides by 50, the reciprocal of \frac{1}{50}.

$$A_{100}=100\times 50$$

Multiply 100 and 50 to get 5000.

$$A_{100}=5000$$