$($a$)$ If the excess $$30,000$ were invested in a long$-$term asset yielding $7$ percent a year, how much would be accumulated after $20$ years?

$($b$)$ Suppose Studebaker placed $$3,052$ a year into a long$-$term investment paying $7$ percent a year. How much would be accumulated after $20$ years $($amounts invested at the end of each year$)?$