Answer:
add, subtract, multiply and divide complex numbers much as we would expect. We add and subtract
complex numbers by adding their real and imaginary parts:-
(a + bi)+(c + di)=(a + c)+(b + d)i,
(a + bi) − (c + di)=(a − c)+(b − d)i.
We can multiply complex numbers by expanding the brackets in the usual fashion and using i
2 = −1,
(a + bi) (c + di) = ac + bci + adi + bdi2 = (ac − bd)+(ad + bc)i,
and to divide complex numbers we note firstly that (c + di) (c − di) = c2 + d2 is real. So
a + bi
c + di = a + bi
c + di ×
c − di
c − di =
µac + bd
c2 + d2
¶
+
µbc − ad
c2 + d2
¶
i.
The number c−di which we just used, as relating to c+di, has a spec
Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The principal at the end of 3 years is $248.
<h3>What is simple interest?</h3>
Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
SI = (P × R × T)/100
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
The principal at the end of 3 years is,
Principal after 3 years = P + (P × R × T)
= $200 + ($200 × 0.08 × 3)
= $200 + $48
= $248
Hence, the principal at the end of 3 years is $248.
Learn more about Simple Interest:
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Answer:
20
Step-by-step explanation:
Assuming that is 3 1/3 C per batch.
(3 1/3)(6)
(10/3)(6)
(10)(2)
20
During the coordinate plane, the graph of the equation is y=x+<u> </u>. The underlines represent the number by which is being compared.
For example, when you have the number 2, y=x+2.
Convert the angle into degrees so we can easily at what quadrant it lies
-11pi / 18 ( 180 / pi)= -110 degrees
to make it a positive angle add 360
-110 + 360= 250 degreesso it is in quadrant III
so the reference angle for quadrant III250 - 180= 70 degrees is the reference angle
