Solve the Problem $\$ 7842.71$ To Pay for Remodeling Work $7 \%$

Multiple Choice

Solve the problem.
-Mark Golden needs $\$ 7842.71$ to pay for remodeling work. His bank loans money at a discount rate of $7 \%$ for 150 days. Find the face value of a loan so he will have $\$ 7842.71$ .

A) $\$ 8078.33$
B) $\$ 8391.70$
C) $\$ 7842.71$
D) $\$ 8075.00$