Growing Annuity: You just settled an insurance claim. The settlement calls for increasing payments over a five$-$year period. The first payment will be paid one year from now in the amount of $$7,000.$ The following payments will increase by $3\mathrm{.}5$ percent annually. What is the value of this settlement to you today if you can earn $6\mathrm{.}5$ percent on your investments?

A

$$36,408\mathrm{.}28$

B

$$31,063\mathrm{.}79$

C

$$42,023\mathrm{.}05$

D

$$34,141\mathrm{.}14$

E

$$28,008\mathrm{.}16$