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How do you solve for P in $A = P + P r t$ $A= P+Prt$ ?

1 Answer

Mar 23, 2016

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

Explanation:

Given
$XXX A = P + P r t$ $color(white)("XXX")A=P+Prt$

Applying the distributive principle:
$XXX A = P (1 + r t)$ $color(white)("XXX")A=P(1+rt)$

Dividing both sides by $(1 + r t)$ $(1+rt)$ :
$XXX \frac{A}{1 + r t} = P$ $color(white)("XXX")A/(1+rt)=P$

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