Answer:
y=21x+25
x=6
Step-by-step explanation:
151=21x+25
-25. -25
126=21x
÷21. ÷21
x=6
If the Hansens want to reduce their expected estate tax liability prior to the death of either of the spouses, they could initiate a Marital Transfer.
<h3>What is a marital transfer?</h3>
A Marital transfer simply means that the Hansens should bequest their assets to each each other in case either of them die.
If this happens, the surviving spouse will not be charged any estate taxes because bequests to spouses are not subject to taxation.
To do this, the Hansens should put it into both of their wills that they plan to gift/ bequest their assets to their spouse if they die.
The big disadvantage of using a marital transfer however, is that the estate will still be subject to taxes when the surviving spouse dies. All the estate taxes that had been avoided would then be incurred by the estate but only after the death of both spouses.
In conclusion, they should use a marital transfer.
Find out more on estate taxes at brainly.com/question/6362495
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Answer:
Yes
Step-by-step explanation:
Good luck
Answer:
There is a 99.99998% probability that at least one valve opens.
Step-by-step explanation:
For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
Calculate P(at least one valve opens).
This is 
Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:
So
Finally
There is a 99.99998% probability that at least one valve opens.
Step-by-step explanation:
it looks like this is a regular (right) triangular prism with 3 equal side areas and one bottom area.
the surface area of the pyramid is the sum of all 4 of these areas.
all these areas are triangles.
the area of a triangle is
baseline × height / 2
in our case
1 side area is 6×8.2/2 = 3×8.2 = 24.6 yd²
all 3 side areas together are 24.6×3 = 73.8 yd²
the bottom triangle is
6×5.2/2 = 3×5.2 = 15.6 yd²
so, the total surface area is
73.8 + 15.6 = 89.4 yd²
