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Chapter 0: Problem 34

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

Short Answer

Expert verified
The isolated 't' from the given formula \(S=P+Pr t\) for simple interest will be \(t = \frac{(S-P)}{(Pr)}\).

Step by step solution

01

Recognize the Formula

The given formula is the simple interest formula. In the simple interest formula, \(S\) is the total sum, \(P\) is the principal amount, \(r\) is the rate of interest, and \(t\) is the time.
02

Rearrange the Formula to Isolate 't'

To isolate \(t\), begin by getting rid of the \(P\) that's being added to \(Prt\). To do this, subtract \(P\) from both sides of the equation. You will get \(S-P = Prt\).
03

Final Step to Isolate 't'

You are almost done with isolating \(t\). Right now, \(t\) is being multiplied by \(Pr\). To isolate \(t\), divide both sides by \(Pr\). As a result, your final equation is \(t = \frac{(S-P)}{(Pr)}\).

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