/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 91 $$\text { Solve for } C: \quad V... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 91

$$\text { Solve for } C: \quad V=C-\frac{C-S}{L} N$$

Short Answer

Expert verified
The solution for 'C' is given by the formula \( C = \frac{V - \frac{S \cdot N}{L}}{1 - \frac{N}{L}} \).

Step by step solution

01

Identify the problem

The main goal is to solve the equation for 'C'. The equation given is \( V = C - \frac{C - S}{L} \cdot N \). This equation needs to be rewritten with 'C' isolated.
02

Expand the equation

Firstly, distribute 'N' in the parentheses by multiplying it with each term in the fraction yielding: \( V = C - N \cdot (\frac{C}{L} - \frac{S}{L}) \). Then convert into a more standard polynomial form: \( V = C - \frac{C \cdot N}{L} + \frac{S \cdot N}{L} \).
03

Group 'C' terms together

Reorder the terms of the equation to gather 'C' terms together resulting in: \( V - \frac{S \cdot N}{L} = C - \frac{C \cdot N}{L} \).
04

Factor 'C'

Now, factor out 'C' from the right side will give: \( V - \frac{S \cdot N}{L} = C \cdot (1 - \frac{N}{L}) \).
05

Solve for 'C'

Lastly, divide both sides by (1 - \(\frac{N}{L}\)) to isolate 'C': \( C = \frac{V - \frac{S \cdot N}{L}}{1 - \frac{N}{L}} \).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Use interval notation to express solution sets and graph each solution set on a number line. Solve each linear inequality. $$7-\frac{4}{5} x<\frac{3}{5}$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The equations \(\frac{x}{x-4}=\frac{4}{x-4}\) and \(x=4\) are equivalent.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I find the hardest part in solving a word problem is writing the equation that models the verbal conditions.

Explain why \(|x|<-4\) has no solution.

Graph each equation in Exercises \(13-28\). Let \(x=-3,-2,-1,0\) \(1,2,\) and 3 $$ y=x+2 $$
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.