To calculate Hector's next paycheck after a 10% raise, we'll need to determine the amount of the raise and add it to his current paycheck.
1. Calculate the raise amount:
Raise = 10% of current paycheck = 10% of $820 = 0.10 * $820 = $82
2. Add the raise amount to Hector's current paycheck:
New paycheck = Current paycheck + Raise = $820 + $82 = $902
Therefore, Hector will receive $902 in his next paycheck after a 10% raise.