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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.

$$900$ per year for $10$ years at $12\%.$

$

$$450$ per year for $5$ years at $6\%.$

$

$$200$ per year for $5$ years at $0\%.$

$

Rework previous parts assuming they are annuities due.

Present value of $$900$ per year for $10$ years at $12\%$: $

Present value of $$450$ per year for $5$ years at $6\%$: $

Present value of $$200$ per year for $5$ years at $0\%$: $