Kim and Pete just had a baby girl, West. They want to start a college fund for West. If they invest $$5,000$ at the beginning of each year for the next $18$ years and the fund earns $10\%$ annually, how much would they have for West's college expenses? If they think the tution and fees for West's college of choice will cost a total of $$225,000,$ will this fund be enough to cover all of West's tuition and fees?

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