Each song downloaded costs 3 points
each video costs 40 points
total of 999 points
if each song cost 3 points and she has 999 points to use she can download 333 songs at max
V=hpir^2
h=4
r=1.25
v=4pi1.25^2
v=4pi1.5625
v=6.25pi
v=19.625
rounded to hundreth
v=19.63 ft³
Answer:
simple interest
Step-by-step explanation:
this is because r is interest rate, p is principal, and t is time
The correct value of (3cis(pi/6))³ is 27i.
<h3>What is Complex Number?</h3>
Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))³
= {3(cosπ/6 + isinπ/6)}³
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
Thus, the correct value of (3cis(pi/6))³ is 27i.
Learn more about Complex number from:
brainly.com/question/10251853
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