The given is that A B C D <span>x 4 = D C B A
</span><span>
Possible values of A are 1 or 2. It can't be 1 since the </span><span> </span><span>final result A is in unit place and 1 is not possible when we multiply any number by 4
</span><span>
2 B C D x </span><span>4 = </span><span>D C B 2</span>
It is clear above, that D = 8
2 B C 8 x <span>4 = </span><span>8 C B 2</span>
Possible values of B should be 1 or 2
We try B=1
2 1 C 8 x <span>4 = </span><span>8 C 1 2
</span>To find for C, you can use the equation:
(2000+100+10C+8) x 4 = 8000+100C+10+240C = 432-12 = 420
Therefore,
C = 7
So, the number is 2178.
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%.
- The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is option d. <u>$24</u>
Reasons:
The data in the table are presented as follows;
![\begin{tabular}{|c|c|c|}Age&Annual Insurance Premiums (per \$1,000 of face value)&\\&10-Year Term &\\&Male&Female\\35&1.40&1.36\\40&1.64&1.59\\45&2.07&2.01\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cc%7Cc%7Cc%7C%7DAge%26Annual%20Insurance%20Premiums%20%28per%20%5C%241%2C000%20of%20face%20value%29%26%5C%5C%2610-Year%20Term%20%26%5C%5C%26Male%26Female%5C%5C35%261.40%261.36%5C%5C40%261.64%261.59%5C%5C45%262.07%262.01%5Cend%7Barray%7D%5Cright%5D)
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:
brainly.com/question/3053945
Answer: The required probability is 0.32.
Step-by-step explanation:
Since we have given that
Probability of winning team A over B = 0.7
Probability of losing team A over B = 0.3
Number of matches = 7"
So, using the "Binomial distribution" :
We get that

Hence, the required probability is 0.32.
The slope of this line is -1/6.
2 Point: (6,2) (-6,6)
x₁ y₁ x₂ y₂
Remember:
rise change in y y₂ - y₁ 6 - 2 4
---------- = ------------------- = ------------- = ----------- = ----------
run change in x x₂ - x₁ -6 - 6 -12
Simplify 4/-12
4 ÷ 4 1
------- = ------------- = -1/3
-12 ÷ 4 -3
The slope of the line is -1/3.