$($a$)$ Find the present and future value of an income stream of $$1500$ per year for a period of $8$ years if the interest rate, compounded continuously, is $9\%.$

$($In either case, specify your answer to the nearest cent $($i$.$e$.,0\mathrm{.}01$ dollar$).)$

present value $=$$

future value $=$$

$($b$)$ How much of the future value is from the income stream? How much is from interest?

from income stream $=$$

from interest $=$$