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667
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avatar+43 

Find the amount of compound interest earned from the following investment:

$6000 at 9% p.a for 4 years, compounded anually.

 May 18, 2014

Best Answer 

 #1
avatar+33616 
+10

The final value here is given by

$${\mathtt{finalvalue}} = {\mathtt{6\,000}}{\mathtt{\,\times\,}}{\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\mathtt{0.09}}\right)}^{{\mathtt{4}}} \Rightarrow {\mathtt{finalvalue}} = {\mathtt{8\,469.489\: \!66}}$$

So final value = $8469.49

So the interest earned is 

$${\mathtt{8\,469.49}}{\mathtt{\,-\,}}{\mathtt{6\,000}} = {\mathtt{2\,469.49}}$$ dollars

 May 18, 2014
 #1
avatar+33616 
+10
Best Answer

The final value here is given by

$${\mathtt{finalvalue}} = {\mathtt{6\,000}}{\mathtt{\,\times\,}}{\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\mathtt{0.09}}\right)}^{{\mathtt{4}}} \Rightarrow {\mathtt{finalvalue}} = {\mathtt{8\,469.489\: \!66}}$$

So final value = $8469.49

So the interest earned is 

$${\mathtt{8\,469.49}}{\mathtt{\,-\,}}{\mathtt{6\,000}} = {\mathtt{2\,469.49}}$$ dollars

Alan May 18, 2014
 #2
avatar+43 
+5

Thanks

 May 18, 2014

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