You just bought an old Mustang car and are fully prepared to start investing in the bottomless pit that it is$.$ You estimate that maintenance and repairs will cost you around $$6,000$ for the upcoming year, and grow at a rate of $3\mathrm{.}4\%$ forever due to inflation. How much do you need to invest in order to cover these growing for eternity? Interest rats are at $5\%.$

$$333,333\mathrm{.}33$

$$187,500$

$$10,800$