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At the beginning of each year, Joe invests $10,000 in his retirement fund. The fund gives 10% interest, compounded annually. At the end of the third year, how much money will be in Joe's fund?

 Dec 12, 2014

Best Answer 

 #2
avatar+130511 
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I think you forgot about the "front-end" deposits made in years 2 and 3....

At the end of the first year, the account is worth ... (10,000)(1.1) = $11, 000

At the start of the second year....he deposits $10,000 more dollars.....so the account is worth (11000 + 10000)(1.1) = $23,100 at the end of the second year.

At the start of the 3rd year $10,000 is added to this, so the account balance at the end of the third year is just(23,100 + 10000)(1.1) = $36,410

 

 Dec 12, 2014
 #1
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here is the link: http://web2.0calc.com/questions/at-the-beginning-of-each-year-joe-invests-10-000-in-his-retirement-fund-the-fund-gives-10-interest-compounded-annually-at-the-end-of-t

 Dec 12, 2014
 #2
avatar+130511 
+10
Best Answer

I think you forgot about the "front-end" deposits made in years 2 and 3....

At the end of the first year, the account is worth ... (10,000)(1.1) = $11, 000

At the start of the second year....he deposits $10,000 more dollars.....so the account is worth (11000 + 10000)(1.1) = $23,100 at the end of the second year.

At the start of the 3rd year $10,000 is added to this, so the account balance at the end of the third year is just(23,100 + 10000)(1.1) = $36,410

 

CPhill Dec 12, 2014

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