Solve for C
C = \frac{2065244160}{2481581} = 832\frac{568768}{2481581} \approx 832.229195823
Assign C
C≔\frac{2065244160}{2481581}
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C=\frac{360}{1-\frac{1}{1.12^{5}}}
Multiply 0.12 and 3000 to get 360.
C=\frac{360}{1-\frac{1}{1.7623416832}}
Calculate 1.12 to the power of 5 and get 1.7623416832.
C=\frac{360}{1-\frac{10000000000}{17623416832}}
Expand \frac{1}{1.7623416832} by multiplying both numerator and the denominator by 10000000000.
C=\frac{360}{1-\frac{9765625}{17210368}}
Reduce the fraction \frac{10000000000}{17623416832} to lowest terms by extracting and canceling out 1024.
C=\frac{360}{\frac{17210368}{17210368}-\frac{9765625}{17210368}}
Convert 1 to fraction \frac{17210368}{17210368}.
C=\frac{360}{\frac{17210368-9765625}{17210368}}
Since \frac{17210368}{17210368} and \frac{9765625}{17210368} have the same denominator, subtract them by subtracting their numerators.
C=\frac{360}{\frac{7444743}{17210368}}
Subtract 9765625 from 17210368 to get 7444743.
C=360\times \frac{17210368}{7444743}
Divide 360 by \frac{7444743}{17210368} by multiplying 360 by the reciprocal of \frac{7444743}{17210368}.
C=\frac{360\times 17210368}{7444743}
Express 360\times \frac{17210368}{7444743} as a single fraction.
C=\frac{6195732480}{7444743}
Multiply 360 and 17210368 to get 6195732480.
C=\frac{2065244160}{2481581}
Reduce the fraction \frac{6195732480}{7444743} to lowest terms by extracting and canceling out 3.
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