Which is the better alternative?

Heather company has $$12,000$ to invest. One alternative will yield $10\%$ per year, compounded annually for four years. A second alternative is to deposit the $$12,000$ in a bank that will pay $8\%$ per year, compounded quarterly for four years.

A$.$ What is the future value of the investment under the $1$ st alternative?

B$.$ What is the future value of the investment under the $2$ nd alternative?

C$.$ What is the better alternative? $($A or B$)$

$6.$ If Joe is saving for a car and he wants to have $$35,000$ at the end of five years, what is the monthly investme needed if he invests at $12\%$ per year, compounded monthly?

$7.$ Determine the amount of periodic payments needed to pay off the following purchase.

Purchase an automobile for $$34,500.$ Monthly payments are to be made for four years with interest at $5\mathrm{.}5\%$ per year, compounded monthly.

$8.$ Calculate the present valude of an amount invested for $5$ years at $10\%$ per year, compounded annually to equal $$5,000.$

Sheet$1$