<span>we have that
the cube roots of 27(cos 330° + i sin 330°) will be
</span>∛[27(cos 330° + i sin 330°)]
we know that
e<span>^(ix)=cos x + isinx
therefore
</span>∛[27(cos 330° + i sin 330°)]------> ∛[27(e^(i330°))]-----> 3∛[(e^(i110°)³)]
3∛[(e^(i110°)³)]--------> 3e^(i110°)-------------> 3[cos 110° + i sin 110°]
z1=3[cos 110° + i sin 110°]
cube root in complex number, divide angle by 3
360nº/3 = 120nº --> add 120º for z2 angle, again for z3
<span>therefore
</span>
z2=3[cos ((110°+120°) + i sin (110°+120°)]------ > 3[cos 230° + i sin 230°]
z3=3[cos (230°+120°) + i sin (230°+120°)]--------> 3[cos 350° + i sin 350°]
<span>
the answer is
</span>z1=3[cos 110° + i sin 110°]<span>
</span>z2=3[cos 230° + i sin 230°]
z3=3[cos 350° + i sin 350°]<span>
</span>
Answer:
C. Every year the number of subscribers is estimated to increase by 8% over the
number of subscribers the year before.
Step-by-step explanation:
Using the formula :
S = 20,000 (1 + 0.08)^y to estimate ;
S = number of subscribers ; y = years
The expression : (1 + 0.08)^y
0.08 = 0.08 * 100% = 8%
(1 + 0.08)^y represents a continous growth or increase in the number of subcsribers by 8% over the number of subscribers the preceeding year
Answer:
The slope is -2
Explanation:
I choose two points on the graph (0,-2) and (-1,0) and put it into the slope form using two coordinate pairs which is y-y/x-x and got -2/1 which simplifies down to -2
The present value of the investment is $6000.
According to the statement
Principal amount = $500
and Return amount = 10.5%
Time period = 20 years.
Now we find the present value of money then
By the formula
PV = P[1-(1+r)^n]/r
PV = 500[1-(1+0.10)^20]/0.10
PV = 6000
So, The present value of the investment is $6000.
Learn more about Return Amount here brainly.com/question/2456547
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Yes, 8 is a solution
r - 3 ≤ 9; r = 8
plug in 8 to r
(8) - 3 ≤ 9
5 ≤ 9 (true)
hope this helps
