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.
| 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 |
