$1.)$ Trust funds are investments that are set up for a specific purpose. A local business invested $$250000$ in a charitable trust fund so that a school can offer scholarships. The interest rate is $3\mathrm{.}8\%,$ compounded semi$-$annually. Only the interest earned can be used to provide the scholarships. How much is available from the trust fund for scholarships each year?

$2.)$ Estimate how long it would take for $$1000$ to grow to $$16000$ at each interest rate, compounded annually.

a$)6\%$

b$)12\%$