Mr$.$ Sweeney has a $12-$year$-$old nephew, Todd, who is trying to save up for a $$300$ bike. Mr$.$

Sweeney wishes to help Todd, but he also wants to teach him a lesson in hard work and the value

of money. Mr$.$ Sweeney and Todd strike the following bargain: each week, Todd will mow the lawn

for Mr$.$ Sweeney, and in return, Mr$.$ Sweeney will deposit $$25$ in Todd's savings account, which

pays an annual percentage interest rate of $5\mathrm{.}2\%.$ How many months will it take Todd to save up

enough money to buy the bike? Assume there are $4$ weeks in a month.

a$.2\mathrm{.}50$ months

b$.2\mathrm{.}15$ months

c$.3\mathrm{.}02$ months

d$.3\mathrm{.}53$ months

e$.4\mathrm{.}08$ months