$1)$ Number of Periods for an Annuity

You have $$38,775\mathrm{.}55$ in a brokerage account, and you plan to deposit an additional $$6,000$ at the end of every future year until your account totals $$250,000.$ You expect to earn $10\%$ annually on the account. How many years will it take to reach your goal? Do not round intermediate calculations. Round your answer to the nearest whole number.

$\_\_\_\_\_\_$years

$2)$ Present and Future Value of an Uneven Cash Flow Stream

An investment will pay $$150$ at the end of each of the next $3$ years, $$300$ at the end of Year $4,$ $$400$ at the end of Year $5,$ and $$500$ at the end of Year $6.$ If other investments of equal risk earn $10\%$ annually, what is this investment's present value? Its future value? Do not round intermediate calculations. Round your answers to the nearest cent.

Present value: $

Future value: $