Answer :
[tex]2700=2300(1+r)^5\\
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(1+r)^5=\frac{2700}{2300}\\
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(1+r)^5=\frac{27}{23}\\
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\sqrt[5]{(1+r)^5}= \sqrt[5]{\frac{27}{23}}\\
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1+r= 1.032\\
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r=1.032-1\\
\\
\boxed{r=0.032}[/tex]
[tex]2700=2300(1+r)^5\ /:2300\\\\(1+r)^5= \frac{27}{23} \ \ \ \Rightarrow\ \ \ 1+r= \sqrt[5]{ \frac{27}{23}} \ \ \ \Rightarrow\ \ \ r= \sqrt[5]{ \frac{27}{23}} -1\\\\ r= \sqrt[5]{ \frac{27\cdot23^4}{23^5}}-1= \frac{ \sqrt[5]{ 27\cdot23^4} }{23} -1= \frac{ \sqrt[5]{7555707} }{23} -1[/tex]