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Consider a system of four annuity variables. (a) An annuity pays $53.00 each period for 4 periods. For these cash flows, the appropriate discount rate / period is 7.0%. What is the present value of this annuity? (b) An annuity pays each period for 10 periods, the appropriate discount rate / period is 7.0%, and the present value is $142.38. What is the payment each period? (c) An annuity pays $173.00 each period for 13 periods, and the present value is $513.94. What is the discount rate / period of this annuity? (d) An annuity pays $40.00 each period, the appropriate discount rate / period is 6.0%, and the present value is $168.49. What is the number of periods