Finally Kevin has a client who would like to invest into an

Finally, Kevin has a client who would like to invest into an account that earns 3.2% interest, which is compounded annually. The client opens the account with an initial deposit of $4,000, and deposits an additional $4,000 into the account each year thereafter.

How much money is in the account after the tenth deposit, assuming no withdrawals or other deposits were made?

Solution

Amount in Bank

with Interest

Immediately after 10th deposit the amount in the account would be $46,726.

Total amount after each deposit
Deposit No

Amount in Bank

with Interest

Amount Deposited Total Amount
1 0 4000 4,000
2 4000(1.032) = 4128 4000 4128+4000 = 8,128
3 8128(1.032) = 8388 4000 8388+4000= 12,388
4 12388(1.032) = 12784 4000 12784+4000 = 16,784
5 16784(1.032) = 17318 4000 17318+4000 = 21,318
6 21318(1.032) = 22000 4000 22000+4000 = 26,000
7 26000(1.032) = 26832 4000 26832+4000 = 30,832
8 3083291.032) = 31819 4000 31819+4000 = 35,819
9 35819(1.032) = 36965 4000 36965+4000 = 40,965
10 40965(1.032) = 42276 4000 42276+4000 = 46,276
11 46276(1.032) = 47757 4000 47757+4000 = 51,757
Finally, Kevin has a client who would like to invest into an account that earns 3.2% interest, which is compounded annually. The client opens the account with a

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