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Chapter 1: Problem 73

Solve for \(C: \quad V=C-\frac{C-S}{L} N\)

Short Answer

Expert verified
\(C=\frac{V-N(\frac{S}{L})}{1-\frac{N}{L}}\)

Step by step solution

01

Distribute N in the equation

Multiply N to both parts inside the bracket: \(V=C-N(\frac{C}{L})+N(\frac{S}{L})\)
02

Rearrange to isolate C

Rearrange in order to group the terms containing C: \(V=N(\frac{S}{L})+(1-\frac{N}{L})C\)
03

Final step to solve for C

Finally, solve for C by dividing every term by \(1-\frac{N}{L}\): \(C=\frac{V-N(\frac{S}{L})}{1-\frac{N}{L}}\)

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