$1.$ Find the present value of $$15,000$ in one year. Use a rate of $9\%,$ quarterly compounding.

$2.$ Find the present value of $$15,000$ in one year. Use a rate of $9\%,$ continuous compounding.

$3.$ Find the present value of $$2,000$ in $2$ years, using a semi$-$annual compounding rate of $6\%$

$4.$ What is the present value of $$150$ in $3$ years, if the interest rate is $2\%($assuming annual compounding$)?$

$5.$ What is the present value of $$150$ in $3$ years, if the interest rate is $2\%($assuming this is a no compounding interest rate$)?$