Answer:
12
Step-by-step explanation:
You need to find the least common denominator (LCD) to all the denominators of the fractions present in the equation. These denominators are (writing them in their prime factor form to make our calculations easier):
Therefore, we need to include a factor of 3, and two factors of 2 () in our least common denominator, so this LCD will be a perfectly divided by all three given denominators, therefore eliminating all fractions in the equation.
Our LCD is =
Answer with Step-by-step explanation:
Let Z be a set of integers
We have to prove that is odd for all value of x
Z.
There are two cases
1.When x is an odd integer number
2.when x is even integer number
1.When x is an odd integer number
When x is positive odd integer
Then is positive odd number (because square of odd positive number is always positive an odd number )
5x is also odd number
-5x -1 = -even number
Suppose x=3
Then -15-1=-16
Odd number - even number=Odd number
Hence , is an odd number .
When x is negative odd number
Then x square is positive odd number and 5x is negative odd term term
Therefore,odd number + odd number -1=Even number -1=Odd number
Hence is an odd number.
2.When x is an even number
When x is positive even number
x square is positive even number and 5x is positive even number
Even number -Even number -1 =Even number -odd number =Odd number
Suppose x=4
=16-20-1=-5=Odd number
When x is negative even number
Then x square is positive even number and 5x is negative even number
=Even number +Even number -1=Even number -1=Odd number
Hence, for all elements of Zis odd.
From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.
Reasons:
The data in the table are presented as follows;
From the above table, we have that the amount a 35 year old without health issues will pay per $1,000 is $1.40
Therefore, the amount to be paid for $115,000 is 115 × $1.4 = $161
The amount Bernard pays = 15% more = 1.15 × $161 = $185.15
Therefore;
The amount more Bernard has to pay = $185.15 - $161 = $24.15 ≈ <u>$24</u>
Learn more about insurance premiums here:
Answer:
See the attached
Step-by-step explanation:
The solution and filled in Venn diagram is attached
