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If it takes 4 years for $2000 to accumulate to $4000, find the compound interest rate

 Feb 9, 2015

Best Answer 

 #1
avatar+118616 
+5

If it takes 4 years for $2000 to accumulate to $4000, find the compound interest rate

 

Assuming that it is compounding yearly

 

4000=2000(1+r)^4

2=(1+r)^4

2^(1/4)=1+r

2^0.25   -1=r

 

$${{\mathtt{2}}}^{{\mathtt{0.25}}}{\mathtt{\,-\,}}{\mathtt{1}} = {\mathtt{0.189\: \!207\: \!115\: \!002\: \!721\: \!1}}$$

 

rate is 18.9%

 Feb 9, 2015
 #1
avatar+118616 
+5
Best Answer

If it takes 4 years for $2000 to accumulate to $4000, find the compound interest rate

 

Assuming that it is compounding yearly

 

4000=2000(1+r)^4

2=(1+r)^4

2^(1/4)=1+r

2^0.25   -1=r

 

$${{\mathtt{2}}}^{{\mathtt{0.25}}}{\mathtt{\,-\,}}{\mathtt{1}} = {\mathtt{0.189\: \!207\: \!115\: \!002\: \!721\: \!1}}$$

 

rate is 18.9%

Melody Feb 9, 2015

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