Trip Savings Scenario.

Two friends are saving for a trip to Spain that they plan to take after they graduate from SJSU. They will each have to pay $$3000$ to the travel company. One friend wants to have $$800$ extra money to spend during the trip.

So$,$ her goal is to have $$3,800$ saved $25$ months from now. She has already saved $$500$ in a savings account with a $4\mathrm{.}20\%$ APR. How much will she need to save each month, if the next addition to her account starts a month from now?

a$.$ $$115\mathrm{.}25$

b$.$ $$119\mathrm{.}71$

c$.$ $$126\mathrm{.}82$

d$.$ $$121\mathrm{.}21$

e$.$ $$124\mathrm{.}79$