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Rearrange the equation A = 300(1 + 12r) to isolate the variable r.

r = 300A – 12
r = 3,600A + 12
r equals quantity A divided by 300 end quantity minus 12
r equals quantity A over 3600 end quantity minus quantity one over 12 end quantity

Sagot :

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Answer:

r equals quantity A over 3600 end quantity minus quantity one over 12 end quantity

Step-by-step explanation:

Solving the Problem

We're told to rearrange for the value of r, to have it isolated.

We start by distributing the 300 to the terms inside the parenthesis.

                                             [tex]A = 300 + 3600r[/tex]

Then, we subtract 300 both sides

                                            [tex]A - 300 = 3600r[/tex].

Lastly, we divide both sides by 3600.

                                                 [tex]\dfrac{A-300}{3600}=r[/tex].

[tex]\dotfill[/tex]

Simplifying the Answer

This can be simplified further by rewriting the numerator portion with each term having a denominator of 3600.

                                               [tex]\dfrac{A}{3600} - \dfrac{300}{3600}=r[/tex]

The greatest common factor (GCF) of 300 and 3600 is 300, so we can cancel the 300 on the numerator and denominator leaving us with 1 and 12 respectively.

                                                  [tex]\dfrac{A}{3600} - \dfrac{1}{12}=r[/tex]

This matches with the bottommost answer choice.

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