The gaming commission is introducing a new lottery game called Infinite Progresso. The winner of the Infinite Progresso ja eceive $900 at the end of January, $1,800 at the end of February, $2,700 at the end of March, and so on up to $10,800 at December. At the beginning of the next year, the sequence repeats starting at $900 in January and ending at $10,800 in D This annual sequence of payments repeats indefinitely. If the gaming commission expects to sell a minimum of 1,200,000 ti the minimum price they can charge for the tickets to break even, assuming the commission earns 9.00 %/year on its inves here is exactly one winning ticket? all calculations to 5 decimal places and round final answer to 2 decimal places Tolerance is + $0.02

Determine the present value P you must invest to have the future value A at simple interest rate r after time t. A = $6000.00, r = 9.0%, t = 26 weeks (Round to the nearest cent.)

5 Question Let Y be the present value of an 11-year term continuous annuity of $1 per year for an insured aged.x. Let х,п Y be the present value of a whole life continuous annuity of $1 per year for an insured aged.x. Given a constant force of interest, 8, show that: ()]))/(b

5 Question Let Ya,n be the present value of an n-year term continuous annuity of $1 per year for an insured aged x. Let Y be the present value of a whole life continuous annuity of $1 per year for an insured aged x. Given a constant force of interest, 8, show that: 1 бп Cov (Yz,n, Yz) = (A — e¯ðª‚„Ez (1 − Āz+n) — ±‚ñ¦Ã‚) 82 n. - -