but why a(i) the nis not 29

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【General guidance】The answer provided below has been developed in a clear step by step manner.Step1/2(i) To calculate the lump sum amount that Carter will require at the beginning of his retirement if Account A starts to pay interest one year after his retirement, we can use the formula for present value of an annuity:\( \mathrm{{P}{V}={A}\times{\left[\frac{{{1}-{\left({1}+{r}\right)}^{{-{{n}}}}}}{{r}}\right]}} \)where PV is the present value, A is the annual withdrawal amount, r is the interest rate per year, and n is the number of years of withdrawals.In this case, A = $120,000, r = 0.05, and n = 30. However, since Account A starts to pay interest one year after his retirement, we need to adjust n to 29.PV = \( \mathrm{\${120},{000}\times{\left[\frac{{{1}-{\left({1}+{0.05}\right)}^{{-{{29}}}}}}{{0.05}}\right]}} \)PV = $1,939,341.95Therefore, Carter will require a lump sum amount of $1,939,341.95 to deposit in Account A at ... See the full answer