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Selection A is appropriate.
_____
20*1.1^n is the general expression for the cost n years in the future.
20*1.1^3 = 26.62 is the cost 3 years in the future.
Answer:
<em>18x² - 84x + 96</em>
Step-by-step explanation:
(5 × 2 - 6x + 2) × (4 × 2 - 3x)
5 × 2 (4 × 2 - 3x) - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)
80 - 30x - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)
80 - 30x - 48x + 18x² - 6x
96 - 84x + 18x²
18x² - 84x + 96
Hope this helps! :)
Since sin(2x)=2sinxcosx, we can plug that in to get sin(4x)=2sin(2x)cos(2x)=2*2sinxcosxcos(2x)=4sinxcosxcos(2x). Since cos(2x) = cos^2x-sin^2x, we plug that in. In addition, cos4x=cos^2(2x)-sin^2(2x). Next, since cos^2x=(1+cos(2x))/2 and sin^2x= (1-cos(2x))/2, we plug those in to end up with 4sinxcosxcos(2x)-((1+cos(2x))/2-(1-cos(2x))/2)
=4sinxcosxcos(2x)-(2cos(2x)/2)=4sinxcosxcos(2x)-cos(2x)
=cos(2x)*(4sinxcosx-1). Since sinxcosx=sin(2x), we plug that back in to end up with cos(2x)*(4sin(2x)-1)