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frosja888 [35]
2 years ago
12

State and prove De Moivre's theorem

Mathematics
1 answer:
Montano1993 [528]2 years ago
6 0

Answer:

assume the formula is true for n is equal to k prove that result is true for n is equal to k + 1 hence result proves since the thorum is true for n is equal to 1 and n k + 1 is unit through a and

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What is the area of a circle whose radius is r?
Evgen [1.6K]

Answer:

Area of circle = πr^2

Area of circle when diameter is 2x; r=x

=πx^2

7 0
3 years ago
Solve for x: 10 - 2x = -5x - 5<br> (1) X = -5<br> (3) X= 4<br> (2) x 15<br> (4)x= -15
Alekssandra [29.7K]
10 - 2x = -5x -5
+2x +2x
10 = -3x -5
+5 +5
15= -3x
X= -5
7 0
3 years ago
Read 2 more answers
Rob invests $3,715 in a retirement account
lions [1.4K]

Answer:

$14,048.62

Step-by-step explanation:

The interest is 9% per year and compounded 3 times a year, so each compound will be 9%/3 = 3%

The time elapsed will be 15 years and the interest compounded 3 times a year, so the number of compounds happens will be = 15 years* 3 compounds/year= 45x compound.

So basically the money will get 3% interest 45 times. To put into the compounding interest formula, the final account balance will be:

A = P (1 + [ r / n ]) ^ nt

A= amount of the balance after a period of t

P= principal, the initial money deposit( $3,715)

r= rate(9%)

n= number of compound per unit of time(3 times per year)

t= time(15 years)

The calculation will be:

A = P (1 + [ r / n ]) ^ nt

A = $3,715(\frac{1+0.09}{3} )^{3*15}

A = $14,048.62

4 0
3 years ago
Find a irrational number between 5.2 and 5.3 .. Explain why its irrational. Include the decimal approximation of thr nearest hun
mihalych1998 [28]

\sqrt{28}
It is in between
\sqrt{25}
And
\sqrt{36}
There for it is in between 5 and 6
Additionally, it is closer to root 25, meaning that it is closer to 5

Rounded to the nearest hundredth is

5.29
4 0
3 years ago
Find the degree measure of 15.26 rad
kakasveta [241]

Answer:   " 874.33 °  " .

___________________________________

Step-by-step explanation:

15.26 rad * ( 180 degree / \pi  rad )  ;

          =  [ (15.26 * 180) / \pi ]  degrees ;

          =  [ ( 2746.8 ) / \pi  ] degrees.

          =  [ ( 2746.8) / 3.14) ]  degrees  ;

          =  874.3336 degrees;

          →  round to:  " 874.33 degrees ."

____________________________________

3 0
3 years ago
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