Question: "Try to solve for the indicated variable A=P+Prt..."

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hadejada7x

Answered question

2021-12-26

Try to solve for the indicated variable $A = P + P r t$
Solve for P

Answer & Explanation

jgardner33v4

Beginner2021-12-27Added 35 answers

Step 1
Here we solve the equation
$A = P + P r t$ , solve for P
Step 2
Here $A = P + P r t$
$\Rightarrow P + P r t = A$
$\Rightarrow P (1 + p t) = A$
$\Rightarrow P = \frac{A}{1 + r t}$
Hence $P = \frac{A}{1 + r t}$

temnimam2

Beginner2021-12-28Added 36 answers

$A = P + P r t$
$P + P r t = A$
$(1 + r t) p = A$
$(r t + 1) p = A$
$\frac{(r t + 1) p}{r t + 1} = \frac{A}{r t + 1}$
$p = \frac{A}{r t + 1}$

karton

Expert2022-01-04Added 613 answers

A=P+Prt
Swap the sides so that all variable members are on the left side.
P+Prt=A
Combine all terms containing p.
(1+rt)p=A
The equation has a standard form.
(rt+1)p=A
NSK
Divide both parts by 1 + rt..
$\frac{(r t + 1) p}{r t + 1} = \frac{A}{r t + 1}$
Division by 1 + rt cancels multiplication by 1 + rt.
$p = \frac{A}{r t + 1}$

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