Answer:
total  tax liability = $8771.25
Explanation:
given data 
taxable income up to $9,275 single individuals = 10 %  
income of $9,276 to $37,650 = 15 %
income of $37,651 to $91,150 = 25 %
solution
we know here  amount upto  $9,275 is 
amount upto  $9,275 =  $9,275 × 10% = $927.50     ..........1
and 
amount  $9,276 to $37,650 = ( 37650 - 9276 ) × 15%  = $4257.45     ........2
and 
amount $37,650 to $50,000 = ( 50000 - 37650) × 25% = $3587.50     ............3
so now add all 3 equation we get 
total  tax liability = $927.5 + $4256.25 + $3587.5 
total  tax liability = $8771.25
Tax Bracket	rate	amount
upto	$          9,275	10%	$     927.50
next (37650-9275)	$        28,375	15%	$ 4,256.25
remaining	$        14,350	25%	$ 3,587.50
total	$        52,000  $ 8,771.25