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please provide complete steps.. these are subparts of same problem so do all. 2.29 Find the accumulated value at the end of 12 years of

please provide complete steps.. these are subparts of same problem so do all.

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2.29 Find the accumulated value at the end of 12 years of a fund where $1,000 is deposited at the beginning of each year for the first 4 years, $2,000 is de- posited at the beginning of each year for the subsequent 4 years, and $3,000 is deposited at the beginning of each year for the final 4 years. Express your answer in terms of a sum of accumulated values . 2.30 Let 8(t) = (2+t)-1,t > 0. (a) Find v(t). (b) Find az 2.31 Deposits of $1,000 per year are placed into a fund continuously for 20 years at 4% force of interest. After 20 years, annual withdrawals commence and continue for 30 years at the same effective rate of interest, with the first pay- ment to be made 1 year after the last deposit. Find the amount of each-with- drawal

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