Gabriel deposits $2,500 into each of two savings accounts.


Account I earns 4% annual simple interest.
Account II earns 4% interest compounded annually.
Gabriel does not make any additional deposits or withdrawals. What is the sum of the balances of Account I and Account II at the end of 3 years?


Gabriel deposits $2,500 into each of two savings accounts.

Account I earns 4% annual simple interest.
Account II earns 4% interest compounded annually.
Gabriel does not make any additional deposits or withdrawals. What is the sum of the balances of Account I and Account II at the end of 3 years?


$5,600.00

$5,624.32

$5,612.16

$5,200.00

1 answer

To find the balance in Account I after 3 years with simple interest, we use the formula:

Balance = Principal + (Principal x Rate x Time)

Balance = $2,500 + ($2,500 x 0.04 x 3) = $2,500 + $300 = $2,800

Therefore, the balance in Account I after 3 years is $2,800.

To find the balance in Account II after 3 years with compound interest, we use the formula:

Balance = Principal x (1 + Rate)^Time

Balance = $2,500 x (1 + 0.04)^3 = $2,500 x (1.04)^3 = $2,500 x 1.124864 = $2,811.16

Therefore, the balance in Account II after 3 years is $2,811.16.

The sum of the balances of Account I and Account II at the end of 3 years is $2,800 + $2,811.16 = $5,611.16

Therefore, the correct answer is $5,611.16.
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