Gross pay = 765
federal withholding tax = 68
Social security tax = 765 * 6.2% = 47.43
Medicare tax = 765 * 1.45% = 11.09
State tax (22% of federal tax) = 68 * 22% = 14.96
765 - 68 - 47.43 - 11.09 - 14.96 = 623.52
<span>Lauren's net pay is 623.52 so the answer is D.</span>
What's the question you're asking
Answer:
20
Step-by-step explanation:
The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:
<span><span>x1 </span>= 0.42801</span>
<span><span>x2 </span>= −1.51414</span>
<span><span>x3 </span>= 3.08613</span>
x1 and x2 are in the desired interval [-2, 2]
f'(x) = 3x^2 - 4x - 4
so we have:
3x^2 - 4x - 4 = 0
<span>x = ( 4 +- </span><span>√(16 + 48) </span>)/6
x_1 = -4/6 = -0.66
x_ 2 = 2
According to Rolle's theorem, we have one point in between:
x1 = 0.42801 and x2 = −1.51414
where f'(x) = 0, and that is <span>x_1 = -0.66</span>
so we see that Rolle's theorem holds in our function.
