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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 2: Q. 2.6 (page 133)

Solve the formula $A = P + P r t$ for $r$ .

Short Answer

Expert verified

The solution for $r$ is as $r = \frac{A - P}{P t}$

Step by step solution

01

Step 1. Given information

The given formula is $A = P + P r t$ .

02

Step 2. Simplify the formula.

Subtract $P$ from both sides and simplify as shown below:

role="math" localid="1643984063525" $A = P + P r t A - P = P + P r t - P A - P = P r t$

03

Step 3. Simplify A-P=Prt

Divide by $P t$ on both sides as shown below:

$A - P = P r t \frac{A - P}{P t} = \frac{P r t}{P t} \frac{A - P}{P t} = r$

04

Step 4. Final answer

The solution for $r$ is as $r = \frac{A - P}{P t}$ .

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