134k views
4 votes
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

2 Answers

1 vote
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!
User Wix
by
8.1k points
4 votes
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.
User Jjkparker
by
8.7k points