Answer:
the answer is C
Step-by-step explanation:i hope you enjoyed the answer
(1 - 3i)(5 + 5i)(4 - 1i)
= (5 + 5i - 15i - 15i²)(4 - 1i)
= (5 - 10i - 15i²)(4 - 1i)
= 20 - 40i - 60i² - 5i + 10i² + 15i³
= 20 - 45i - 50i² + 15i³
Answer:
The rate of Simple Interest is 6.5 %
Step-by-step explanation:
Given as :
Principal = $ 4000.00
Amount = $ 5300.00
The time period of loan = 5 years
Let The rate of simple interest = R
Now,
From Simple Interest method
Simple Interest =
And , Simple Interest = Amount - Principal
So , Simple Interest = $ 5300.00 - $ 4000.00
Or, Simple Interest = $ 1300
Now, Simple Interest =
So, $ 1300 =
Or, $ 1300 × 100 = $ 4000 × Rate × 5
Or, Rate = 
Or, Rate = 6.5
Hence The rate of Simple Interest is 6.5 % Answer
Answer:
The probability that a customer pays late each month is P(B) = 0.27
Step-by-step explanation:
Let P( A ) be the probability that the customer pays on time and the value is 0.55
Let P( B ) be the probability that a customer pays late each month
So
The probability that a customer pays late or on-time each month is P(A u B) and the value is 0.82
The probability that a customer pays on-time and late each month is P(A n B) and the value is zero ( 0 ) given that it is impossible
Now The probability that a customer pays late or on-time each month is mathematically represented as
P(A u B) = P(A) + P(B) - P(A n B)
=> 0.82 = 0.55 + P( B ) - 0
=> P(B) = 0.27
Using the combination formula, it is found that she can shoot the ducks in 120 ways.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:

In this problem, 3 ducks will be shoot from a set of 10, hence:

Thus, she can shoot the ducks in 120 ways.
More can be learned about the combination formula at brainly.com/question/25821700