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Find the present values of these ordinary annuities. Discounting occurs once a year. Do not round intermediate calculations. Round your answers to the nearest cent.

a$.$ $$500$ per year for $12$ years at $6\%.$

$

b$.$ $$250$ per year for $6$ years at $3\%.$

$

c$.$ $$1,000$ per year for $6$ years at $0\%.$

$

d$.$ Rework previous parts assuming they are annuities due.

Present value of $$500$ per year for $12$ years at $6\%$ : $

Present value of $$250$ per year for $6$ years at $3\%$ : $

Present value of $$1,000$ per year for $6$ years at $0\%$ : $