Personal taxes. Suppose that the percent of total personal income that is used to pay personal taxes is given by y = 0.034x² - 0.044x + 12.642, where x is the number of years past 1990 (Source: Bureau of Economic Analysis, U.S. Department of Commerce). Find the year or years when the percent of total personal income used to pay personal taxes is 16 percent.
a. 2011
b. 2001
c. 1999
d. 2038
e. 2006
b. 2001
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Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree.sin2x - 8 sin x - 4 = 0
A. {28.2°, 151.8°, 208.2°, 331.8°} B. {208.2°, 331.8°} C. No solution D. {28.2°, 151.8°}
Solve the problem. src="https://sciemce.com/media/4/ppg__question0423191135__f1q2g5.jpg" style="vertical-align: -4.0px;" />, and from 
When a beam of light is reflected from a smooth surface, the angle formed by the incoming beam with the surface is equal to the angle formed by the reflected beam and the surface. The beam of light in the figure makes an angle of 39° with 
. Complete the path of the light beam as it reflects from 
, from 
, from 
again. At what angle does the beam reflect from 
the second time?
A. 70°
B. 77°
C. 31°
D. 97°
Write as an equivalent addition statement. (Do not evaluate.)11 - (-19)
A. -19 + (-11) B. 19 + (-11) C. 11 + 19 D. 11 + (-19)
Find the area of triangle ABC with the given parts. Round to the nearest tenth when necessary.A = 39°40'b = 16.5 mc = 10.5 m
A. 55.3 m2 B. 110.6 m2 C. 112.6 m2 D. 27.7 m2