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OLEGan [10]
2 years ago
11

Multiply the complex numbers: (4 + 6i)(1∕2 + 3i)

Mathematics
1 answer:
Firlakuza [10]2 years ago
6 0

Answer:

B) 20 + 15i

Step-by-step explanation:

So first you need to foil the equation (a + bi)(c + di) = ac +adi +bic +bidi. then you need to combine like terms. Remember that i^2 = 1 and i = i.

Then write your final answer in the terms a + bi

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Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds. Call t
makvit [3.9K]

Answer:

The solve of that problem is that Hernry invested $18.000 in stocks and $6.000 in bonds.

Step-by-step explanation:

First, to explain you have to do a multiplication about 6 on three. Like three times more than bonds, the result is 18. Then you have to do a  subtraction on $24.000 less $18.000, and the result is $6.000, so six is the amount on bonds. And is three times less than stocks, like the questions ask.

4 0
2 years ago
Read 3 more answers
HELP PLEASE HELP!!!!! 20 POINTS!!!
ivann1987 [24]
The answer should be C. By combining like terms you can find the answer. 1.75a+2.75a = 4.5a
2.25b + 1.75b = 4b
2.25c + 1.25c = 3.5c
3 0
2 years ago
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A ballplayer catches a ball 3.4s after throwing it vertically upward. with what speed did he throw it, and what height did it re
Daniel [21]

From the equation of motion, we know,

s=ut+\frac{1}{2}at^{2}

Where s= displacement

u= initial velocity

a= gravitational force

t= time

Displacement is 0 since the ball comes back to the same point from where it was thrown.  

A = -9.8m/s^{2} since the ball is thrown upwards.

Plug the known values into the equation.

=> 0=u\left ( 3.4 \right )+\frac{1}{2}\left ( -9.81 \right )(3.4^{2})

Solving for u gives :

u= 16.67 m/ sec ....... equation (1)

At maximum height, final velocity i.e v is 0

Time take to reach the top = \frac{3.4}{2} = 1.7 sec

v^{2}=u^{2}+2as

=> 0=(16.67)^{2}+2(-9.81)(s)

Solving for s we get

s= 14.16 m


4 0
2 years ago
Many us employess received a 3% raise in 2012 suppose an employee made 47,000 in 2011 and received a 3% raise. What did she make
WITCHER [35]
First lets get 3% into decimal form. 

3% is 3/100  = 0.03

Now multiply 0.03 by 47000 to get how much extra money she was going to get. 

47000 * 0.03 = 1410

Now we just add
47000 + 1410 = 48410 is what she was going to make in 2012

Another way to do this is 

(47000)(1+0.03) = 48410

you would use (1+0.03) which tells you she increased in pay. 
4 0
2 years ago
Which of the following data could be graphed using a dot plot ?
kotegsom [21]

Answer:

number of cards in a house hold and number of siblings

Step-by-step explanation:

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