Answer:
A.[tex]r=\frac{27-p}{3p}[/tex]
Step-by-step explanation:
The given formula is
[tex]A=p(1+rt)[/tex]
Where [tex]A=27[/tex] and [tex]t=3[/tex]
To solve for [tex]r[/tex], first we need to move [tex]p[/tex]
[tex]\frac{A}{p}=1+rt[/tex]
Then, we move the term 1
[tex]\frac{A}{p}-1=rt[/tex]
Finally, we move the factor [tex]t[/tex]
[tex]\frac{\frac{A}{p}-1 }{t} =r[/tex]
Replacing given values, we have
[tex]\frac{\frac{27}{p}-1 }{3} =r\\r=\frac{\frac{27-p}{p} }{3} \\r=\frac{27-p}{3p}[/tex]
Thereofre, the right answer is A.
