Solve the Problem $P$ Dollars in Principal Is Invested in an Account Earning

Multiple Choice

Solve the problem.
-Suppose that $P$ dollars in principal is invested in an account earning $5.3 \%$ interest compounded continuously. At the end of $3 \mathrm { yr }$ , the amount in the account has earned $\$ 1,378.70$ in interest. Find the original principal. Round to the nearest dollar. (Hint: Use the model $A = P e ^ { r t }$ and substitute $P + 1,378.70$ for $A$ .)

A) $\$ 9,379$
B) $\$ 2,555$
C) $\$ 1,176$
D) $\$ 8,000$