Answer:
Each balloon costs $1
Each banner costs $2
Step-by-step explanation:
First of all, let's write down the equation from this problem.
Let "y" be the cost of the ballon, and let "x" be the cost of a banner. Then the following is true from the question...
4y + 2x = 8
6y + x = 8
Now since both of them are equal to 8 both of them are equal to each other, and so we can get the following equation...
4y + 2x = 6y + x
2x - x = 6y - 4y
x = 2y
Now if we substitute 2y instead of x in one of the previous equations we will obtain...
6y + x = 8
6y + 2y = 8
8y = 8
y = 1
From the equation x = 2y we know that...
x = 2y
x = 2(1)
x = 2
The expected value for the person buying the insurance is -25.
<h3>How the expected value is calculated?</h3>
The expected value is the average gain or loss of an event if the event is repeated a number of times.
Expected value = ∑xP(x)
<h3>Calculation:</h3>
It is given that,
The probability of a 47-year-old woman passing away during the coming year is 0.179% = 0.00179
The death benefit = $100,000 - $204 = $99,796
The loss from living = -204
Then the expected value = 99796(0.00179) + (-204)(0.99821) = -25
Therefore, the expected value for the person buying the insurance is -25.
Learn more about the expected value here:
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Answer = 160 units
Reason is 75 sell price less cost per unit = $25 profit per unit
Overhead cost is $4000. Divide fixed overhead cost $4000 by profit per unit $25 = 160
To find (fg)(x), you must mult. together the two binomial functions f and g:
(fg)(x) = (6-5x)(6x^2+x = 36x^2 + 6x - 30x^3 - 5x^2
and then you must combine like terms: (fg)(x) = -30x^3 + 31x^2 + 6x
