How much would $$1,000,000$ due in $100$ years be worth today if the discount rate was $5\%?$

Assume you plan to buy a condo $5$ years from now, and you estimate that you can save $\backslash (\backslash$$ $2,500\backslash )$ per year. You plan to deposit the money in a bank account that pays $\backslash (4\backslash \%\backslash )$ interest, and you will make the first deposit at the beginning of the year. How much will you have after $5$ years?

Suppose you borrowed $\backslash (\backslash$$ $30,000\backslash )$ on a student loan at a rate of $\backslash (8\backslash \%\backslash )$ and must repay it in three equal installments at the end of each of the next $3$ years. How large would your payments be$?$