Reaching a Financial Goal

You need to accumulate $$10,000.$ To do so$,$ you plan to make deposits of $$1,500$ per year $-$ with the first payment

being made a year from today $-$ into a bank account that pays $6\%$ annual interest. Your last deposit will be less

than $$1,500$ if less is needed to round out to $$10,000.$ How many years will it take you to reach your $$10,000$

goal? Do not round intermediate calculations. Round your answer up to the nearest whole number.

year$($s$)$

How large will the last deposit be$?$ Do not round intermediate calculations. Round your answer to the nearest

cent.

$