Answer:
Step-by-step explanation:
I believe in standard form this would be 31/2 + 27i/2
Answer:
Amount invested at 8% is $9000 and amount invested at 18% is $21000.
Step-by-step explanation:
Let amount invested at 8% be x.
Let amount invested at 18% be y.
We get the 1st equation as:
........(1)
We get the second equation as:

=> 
or getting rid of the decimal by multiplying by 100 on both sides.
........(2)
Multiplying (1) by 8 and subtracting from (2) we get
So, y = 21000
And 

So, x = 9000
Therefore, amount invested at 8% is $9000 and amount invested at 18% is $21000.
Answer:
b) 2.00
Step-by-step explanation:
For each name, there are only two possible outcomes. Either it is authentic, or it is not. The probability of a name being authentic is independent of any other name. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

She randomly selects five names from the list for validation.
This means that 
40% of the names on the list are non-authentic
This means that 
The expected (average) value of x is

The correct answer is given by option B.