Explanation:
The amount in the account can be calculated as:
[tex]A=P(1+r)^t_{}[/tex]Where P is the initial amount, r is the interest rate and t is the number of times the interest is compound. In 1 1/2 years, the interest is compound 3 times because it is compound every 6 months.
Then, replacing P by 1,100, r by 3% = 0.03 and t by 3, we get:
[tex]\begin{gathered} A=1100(1+0.03)^3 \\ A=1100(1.03)^3 \\ A=1100(1.0927) \\ A=1201.99 \end{gathered}[/tex]therefore, there is $1202 in the account after 1 1/2 years.
