Matt has decided to retire once he has $$1,500,000$ in his retirement account. At the end of each year, he will contribute $$7,000$ to the account, which is expected to provide an annual return of $7\mathrm{.}0\%.$ How many years will it take until he can retire? $36$ years $39$ years $32$ years$\backslash$deg $38$ years $41$ yearsSuppose Matt's friend, Richard, has the same retirement plan, saving $$7,000$ at the end of each year and retiring once he hits $$1,500,000.$ However, Richard's account is expected to provide an annual return of $9\mathrm{.}4\%.$ How much sooner can Richard retire? $8$ years $4$ years$|5$ yearsO $7$ years $6$ yearsAfter $25$ years, neither Matt nor Richard will have enough money to retire, but how much more will Richard's account be worth at this time? $$169,363$ $$289,671$ $$186,514$ $$162,869$ $$215,877$