The for any number n>1 is |(3/4+2/3i)^n| greater than 1 after simplifying the complex number.
<h3>What is a complex number?</h3>
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number:
Here n>1
Plug n = 2
= 145/144
= 1.0069
Which is greater than 1.
Thus, the for any number n>1 is |(3/4+2/3i)^n| greater than 1 after simplifying the complex number.
Learn more about the complex number here:
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Let's represent how far Eli travels as x.
Sara travels twice as far as that, so 2x.
Ashley travels as far as Eli and Sara combined. x + 2x = 3x.
Hazel travels 3× as far as Sara, and 3×2x = 6x.
All of these add up to 888.
x + 2x + 3x + 6x = 888
Let's add up these like terms.
12x = 888
We can then divide each side by 12...
x = 74
Therefore, Eli traveled 74 miles!
We can use this value to figure out everyone else's distances as well.
Sara = 2 × 74 = 148
Ashley = 3 × 74 = 222
Hazel = 6 × 74 = 444
Answer:
The formula for the area is πr² where r is the radius.
But the radius wasn't given so we have to ring it via the circumference given.
Step-by-step explanation:
Circumference = 87.92
To find the radius;
The formula for finding the circumference is 2πr. Therefore;
So now that we have our radius to be 14 we substitute it into the equation for finding the area
Answer:
= $ 4344.05
Step-by-step explanation:
Using the formula
A = P (1 +r/n)^nt
Where A is the amount accumulated, P is the principal amount, n is the number of interest periods, t is the time taken in years.
A = $4369.20
r = 0.033
n = 4
t = 21/12
Therefore;
$4369.20 = P ( 1 + 0.033/4)^ (21/12×4)
$4369.20 = P (1.000825)^7
$4369.20 = 1.005789 P
P = $4369.20/1.005789
<u> = $ 4344.05</u>
Answer:
d
Step-by-step explanation:
Sonia: 19.6 (3/5 = 0.6)
Cesar: 19.7
Stacy: 19.75
Roberto: 19.5 (1/2 = 0.5)
