$5.$ Problem $5\mathrm{.}05($Time to Reach a Financial Goal$)$

You have $$51,461\mathrm{.}09$ in a brokerage account, and you plan to deposit an additional $$5,000$ at the end of every future year until your account totals $$260,000.$ You expect to earn $11\%$ annually on the account. How many years will it take to reach your goal? Round your answer to the nearest whole number.

years

$6.$ Problem $5\mathrm{.}06($Future Value: Annuity Versus Annuity Due$)$

eBook

What's the future value of a $10\%,5-$year ordinary annuity that pays $$100$ each year? If this was an annuity due, what would its future value be$?$ Do not round intermediate calculations. Round your answers to the nearest cent.

Future Value of an Ordinary Annuity: $

Future Value of an Annuity Due: $

$7.$ Problem $5\mathrm{.}07($Present and Future Values of a Cash Flow Stream$)$

An investment will pay $$50$ at the end of each of the next $3$ years, $$250$ at the end of Year $4,$ $$350$ at the end of Year $5,$ and $$550$ at the end of Year $6.$ If other investments of equal risk earn $7\%$ annually, what is its present value? Its future value? Do not round intermediate calculations. Round your answers to the nearest cent.

Present value: $

Future value: $