115 = x \left( 1+3. { 10 }^{ -3 } .50 \right)
Solve for x
x = \frac{230000}{2003} = 114\frac{1658}{2003} \approx 114.827758362
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115=x\left(1+3\times \frac{1}{1000}\times 0.5\right)
Calculate 10 to the power of -3 and get \frac{1}{1000}.
115=x\left(1+\frac{3}{1000}\times 0.5\right)
Multiply 3 and \frac{1}{1000} to get \frac{3}{1000}.
115=x\left(1+\frac{3}{2000}\right)
Multiply \frac{3}{1000} and 0.5 to get \frac{3}{2000}.
115=x\times \frac{2003}{2000}
Add 1 and \frac{3}{2000} to get \frac{2003}{2000}.
x\times \frac{2003}{2000}=115
Swap sides so that all variable terms are on the left hand side.
x=115\times \frac{2000}{2003}
Multiply both sides by \frac{2000}{2003}, the reciprocal of \frac{2003}{2000}.
x=\frac{230000}{2003}
Multiply 115 and \frac{2000}{2003} to get \frac{230000}{2003}.
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