Problem 46
Question
Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(P=C+M C\) for \(M\)
Step-by-Step Solution
Verified Answer
The solution for `M` in the equation \(P=C+M C\) is \(M = \frac{P - C}{C}\). This formula does not appear to describe a specific common concept but can represent situations involving proportional relationships or finance.
1Step 1: Isolate the terms with M
Firstly, aim to put all terms containing `M` on one side of the equation and everything else on the other side. This results in: \(M C = P - C\)
2Step 2: Solve for M
To isolate `M`, divide both sides of the equation by the coefficient of `M`, which is `C`. As such, \(M = \frac{P - C}{C}\).
3Step 3: Recognition of the formula
This particular formula does not commonly represent a specific concept in mathematics or physics. However, it can appear in problems concerning proportional relationships or finance, where `P` could be the total payment, `C` the cost, and `M` the markup percentage.
Other exercises in this chapter
Problem 46
Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. $$ x^{2}-\frac{1
View solution Problem 46
Solve each equation in Exercises 41–60 by making an appropriate substitution. $$2 x-7 \sqrt{x}-30=0$$
View solution Problem 46
Contain rational equations with variables in denominators. For each equation, a. write the value or values of the variable that make a denominator zero. These a
View solution Problem 46
Perform the indicated operation(s) and write the result in standard form. $$ (8+9 i)(2-i)-(1-i)(1+i) $$
View solution