The Chief Financial Officer of a Company Reports That Profits $4 \frac { 1 } { 2 } \%$

The chief financial officer of a company reports that profits for the past fiscal year were $ million. The officer predicts that profits for the next 7 years will grow at a continuous annual rate somewhere between $4 \frac { 1 } { 2 } \%$ and $6 \%$ . Estimate the cumulative difference in total profit over the 7 years based on the predicted range of growth rates. Round your answer to three decimal places.

A) $\$ 445.736$ billion
B) $\$ 30.221$ billion
C) $\$ 7.023$ billion
D) $\$ 18.710$ billion
E) $\$ 57.880$ billion