You would like to have $$3$ million in your retirement account before you decide to hang it up and leave the working world. So far you have saved $$500,000.$ If you invest an additional $$1,000$ every month and you earn $6\%$ per year $($compounded monthly$),$ how long will it take you to reach your goal?

About $26$ years and $1$ month

About $11$ years and $8$ months

About $25$ years and $5$ months

About $37$ years and $4$ months