Answer:
Remainder 209
Step-by-step explanation:
f(x)= 4x⁵+5x⁴+1
x-2=0⇒x=2
Putting x=2 in the above equation
f(x)= 4(2)⁵ +5(2)⁴+1
f(x)= 4(32) +5(16) +1
f(x)= 128 +80+1
f(x)= 209
This is the slope formula.
Answer:
$7,305.50
Step-by-step explanation:
The computation of the FICA tax pay in 2005 is shown below:
Medicare = 1.45% × $119,000 = $1,722.50
And, Social security tax = 6.2% × 90,000 = $5,580
So, the FICA tax in 2005 is
= Medicare tax + Social security tax
= $1,722.50 + $5,580
= $7,305.50
Answer:
1/5, 1/6, 1/7, 1/8
Step-by-step explanation:
The formula for the sequence is (n+3)!/ (n+4)!
The first terms uses n=1
a1 = (1+3)!/ (1+4)! = 4!/5! = (4*3*2*1)/(5*4*3*2*1) = 1/5
The first terms uses n=2
a2 = (2+3)!/ (2+4)! = 5!/6! = (5*4*3*2*1)/(6*5*4*3*2*1) = 1/6
The first terms uses n=3
a3 = (3+3)!/ (3+4)! = 6!/7! = (6*5*4*3*2*1)/(7*6*5*4*3*2*1) = 1/7
The first terms uses n=4
a4 = (4+3)!/ (4+4)! = 7!/8! = (7*6*5*4*3*2*1)/(8*7*6*5*4*3*2*1) = 1/8