How much would you have to invest today to receive: $($Use a Financial calculator to arrive at the answers. Round the final answers

to the nearest whole dollar.$)$

a$.$ $$12,000$ in $6$ years at $12$ percent?

Present value

$

b$.$ $$15,000$ in $15$ years at $8$ percent?

Present value

$

c$.$ $$5,000$ each year for $10$ years at $8$ percent?

Present value

$

d$.$ $$5,000$ each year, at the beginning, for $10$ years at $8$ percent?

Present value

$

e$.$ $$50,000$ each year for $50$ years at $7$ percent?

Present value

$

f$.$ $$50,000$ each year for $50$ years, at the beginning, at $7$ percent?

Present value

$