ANSWER
A. $90
B. $590
Step-by-step explanation
She put $500 in a savings account that earns 3% interest.
A. This is a simple interest question and for simple interest at a rate R and with a principal P (amount of money saved or deposited), after T years, the interest is given as:
![I\text{ = }\frac{P\cdot\text{ R }\cdot\text{ T}}{100}](https://img.qammunity.org/2023/formulas/mathematics/college/3yfhk20zcynr5b7bsaijiazq7b5diqeta3.png)
So, after 6 years, the interest is:
![\begin{gathered} I\text{ = }\frac{500\cdot\text{ 3 }\cdot\text{ 6}}{100} \\ I\text{ = \$90} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/tmtulp562ukp29le2r14e5dajk3qvdz13b.png)
The interest after 6 years is $90.
B. The amount of money she will have after 6 years is the sum of the interest after 6 years and the amount of money initially deposited.
That is:
A = P + I
A = $(500 + 90)
A = $590
After 6 years, she will have $590 in the account.