To simplify the expression \(6\% + 692\%(46 + 493)\), we should first convert the percentages to decimal form and then perform the calculations.
Convert the percentages:
- \(6\% = 0.06\)
- \(692\% = 6.92\)
Calculate \(46 + 493\): \[ 46 + 493 = 539 \]
Now, calculate \(692\% \times (46 + 493)\): \[ 6.92 \times 539 \]
We can multiply: \[ 6.92 \times 539 = 3733.08 \]
Finally, sum \(6\% + 692\%(46 + 493)\): \[ 0.06 + 3733.08 = 3733.14 \]
Thus, the final result is: \[ \boxed{3733.14} \]
