$5.$ Bridget plans to save $$120$ a month, starting today, for $7$ years. Jordan plans to save $$125$ a month for the same number of years, starting one month from today. Both Bridget and Jordan expect to earn an average return of $4\mathrm{.}8$ percent APR on their savings. At the end of the $7$ years, Jordan will have approximately $\_\_\_\_\_$ more than Bridget.

a$.$ $$439$

b$.$ $$443$

c$.$ $$450$

d$.$ $$462$