Answer:
16.67 years.
Explanation:
Samantha wants to invest $6800 in a savings account that pays 6% simple interest.
Let after y years the amount will be double in value.
So, using the formula of simple interest we can write
![2 * 6800 = 6800(1 + (6* y)/(100))](https://img.qammunity.org/2021/formulas/mathematics/middle-school/x3e0jcwrbavg9t4msrmmjaegtm3obd9kmp.png)
⇒
![2 = 1 + (6y)/(100)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/jb6rta6nzjfw3q7h4exotgj9e13qux07ju.png)
⇒ 6y = 100
⇒ y = 16.67 years.
Therefore, after 16.67 years the amount will become double in value. (Answer)