Gia opened two savings accounts at two different banks. One account earns an annual 3.4% simple interest, and the other earns half as much.

If she deposited $500 in each account, how much total interest will she have earned in 4 years?
A.
$51.00
B.
$1,020.00
C.
$68.00
D.
$102.00

Respuesta :

Hello! So, one account earns 3.4% simple interest, and the other one earns ½ of that annual interest, which is 1.7%, because 3.4/2 is 1.7. The formula for finding simple interest is prt, with p being the principal (initial amount), r being the rate (simple interest rate), and t being time (could be in months or years). In this case $500 is the principal for both amounts. The first account earns 3.4% interest and the second account earns 1.7% interest. We are talking about both of them being earned over 4 years. If you multiply correctly, here are your answers:

First account: $68
Second account: $34

Now, let's add the amounts of interest. 68 + 34 is 102. There. Gia will earn $102 in interest in 4 years. The answer is D: $102.

Note: When it comes to the formula prt, you multiply all of the amounts. Plus, you can convert the percents into decimal form. In this case 3.4% is 0.034 and 1.7% is 0.017. You can multiply that number by the principal and the time to get the same answer as above.
If you are combining the total interest for both accounts, it would be D.

WORK-
500×0.034= 17×4= 68
0.034÷2= 0.017×500= 8.5×4= 34
68+34= 102


Hope this helps!