For each of the following situations, Identify $(1)$ the case as elther $($a$)$ a piesent or a future value and $($b$)$ a single amount or an annulty. $(2)$ the table you would use in your computations $($but do not solve the problem$),$ and $(3)$ the Interest rate and time periods you would use. $($PV of $$1,$ FV of $$1,$ PVA of $$1,$ and FVA of $$1)$

Note: Use appropriate factor$($s$)$ from the tables provided. Round "Table Factors" to $4$ decimal places.

a$.$ You need to accumulate $$10,100$ for a trlp you wish to take in four years. You are able to earn $10\%$ compounded semlannually on your savings. You plan to make only one deposit and let the money accumulate for four years. How would you determine the amount of the one$-$time deposit?

b$.$ Assume the same facts as in part $($a$)$ except that you will make semlannual deposits to your savings account. What is the requlred amount of each semlannual deposit?

You want to retire after working $40$ years with savings in excess of $$1,020,000.$ You expect to save $$4,080$ a year for $40$ years and earn an annual rate of interest of $10\%.$

c$-2$ Will you be able to retire with more than $$1,020,000$ in $40$ years?

d$-1.$ A sweepstakes agency names you a grand prize winner. You can take $$229,500$ immedlately or elect to recelve annual Installments of $$30,200$ for $20$ years. You can earn $12\%$ annually on any investments you make.

d$-2$ Which prize do you choose to recelve?

Complete this question by entering your answers in the tabs below.

You need to accumulate $$10,100$ for a trip you wish to take in four years, You are able to eam $10\%$ compounded semiannually on your savings. You plan to make only one deposit and let the money accumulate for four years. How would you determine the amount of the one$-$time deposit?

Note: Found your answer to $2$ decimal places.

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$\backslash$table$[[$Future Value,,Table Factor,,Present Value$],[,,,=,],[$Table Values are Based on:$,,,],[,$n$,=,,],[,=,,,]]$