$1.2.3.4.5.$ Use the formula PV $=$ a$.$ b$.$ G$.$ a$.$ b$.$ C$.$ R$[1-(1+1)]1$ R $=$ $$100,$ i$=0\mathrm{.}025,$ n $=1508$ R $=$ $$200,$ i$=-$ n $=5034\mathrm{.}104$ R $=$ $$750,$ i$=-$ Calculate the amount of each annuity. n $=36$ Calculate FV for each set of values. $142/2$ $$1200$ withdrawn every six months for $5$ years at $4-\%$ compounded semi$-$ annually. $$500$ withdrawn at the end of each year for $12$ years at $4\mathrm{.}75\%$ compounded annually. $$1250$ withdrawn at the end of every three months for $20$ years at $6\mathrm{.}25\%$ compounded quarterly. Don won the "Cash for Life" lottery and will receive a $$1000$ per week for the next $25$ years. How much must the lottery corporation invest today into an account that pays $4\%$ compounded weekly to provide Don with the prize? An annuity pays $$1200$ per year for $15$ years. The money is invested at $5\mathrm{.}2\%$ compounded annually. The first payment is made $1$ year after the purchase of the annuity. Determine the interest earned by the annuity over the $15$ years. Noah wants to buy a $5$ year annuity. He has two options. Option A pays $$1000$ at the end