Question $6(1\mathrm{.}5$ points$)$

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A home improvement firm has quoted a price of $$10,000$ to fix up John's backyard. Five years ago John put $$8,000$ into a home improvement account that has earned an average of $5\mathrm{.}25\%$ per year. Does John have enough money in his account to pay for the backyard fix$-$up$?$

a$)$ No$.$ John now has $$9,850$ in his home improvement account.

b$)$ Yes. John now has more than $$10,000$ in his home improvement account.

c$)$ No$.$ John has less than $$9,700$ in his home improvement account.

d$)$ There is not enough information to answer this question.