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Chapter 1: Problem 49

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(S=P+P r t\) for \(r\)

Short Answer

Expert verified
The value of 'r' from the formula \(S=P+P r t\) is \(r = \frac{S - P}{P t}\). It shows that the formula describes the calculation of interest rate in a compound interest scenario.

Step by step solution

01

Understand the Problem

The goal is to rearrange the formula \(S=P+P r t\) to isolate 'r'. This would involve first subtracting 'P' from both sides, and then dividing both sides by 'P t'.
02

Subtract 'P' from Both Sides of the Formula

When 'P' is subtracted from both sides of the formula, it gives \(S - P = P r t\). This step helps to eliminate 'P' from the left side of the equation.
03

Divide Through by 'P t'

Next, divide both sides of the equation by 'P t' to isolate 'r'. This gives \(r = \frac{S - P}{P t}\). This is the simplified form of the formula needed.

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