/*! 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 56 Solve each formula for the speci... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 56

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

Short Answer

Expert verified
The equation solved for \(t\) is \(t = \frac{S - P}{P r}\).

Step by step solution

01

Identifying the Problem

The original equation is \(S=P+P r t\). Our task is to solve this equation in terms of \(t\).
02

Isolate prt

In the simple interest formula, \(P r t\) is grouped together because it represents the interest earned. In order to isolate \(t\), first isolate the sub-expression \(P r t\) by subtracting \(P\) from both sides. Now the equation is \(S - P = P r t\).
03

Solve for t

Once \(P r t\) is alone on one side of the equation, divide both sides of the equation by \(P r\). Make sure to divide the entire left side by \(P r\), not just \(P\). The resulting equation is \(t = \frac{S - P}{P r}\). This is the final equation solved for \(t\).

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

Solve the equations using the quadratic formula. \(6 x^{2}+6 x+1=0\)

Solve the quadratic equations by factoring. \(x^{2}-14 x=-49\)

Solve the equations using the quadratic formula. \(4 x^{2}=12 x-9\)

Solve the quadratic equations by factoring. \(x^{2}-2 x-15=0\)

A car can be rented from Basic Rental for \(\$ 260\) per week with no extra charge for mileage. Continental charges \(\$ 80\) per week plus 25 cents for each mile driven to rent the same car. How many miles must be driven in a week to make the rental cost for Basic Rental a better deal than Continental's?
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Decision Maths

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.