To check the decay rate, we need to check the variation in y-axis.
Since our interval is
![-2We need to evaluate both function at those limits.At x = -2, we have a value of 4 for both of them, at x = 0 we have 1 for the exponential function and 0 to the quadratic function. Let's call the exponential f(x), and the quadratic g(x).[tex]\begin{gathered} f(-2)=g(-2)=4 \\ f(0)=1 \\ g(0)=0 \end{gathered}](https://tex.z-dn.net/?f=-2We%20need%20to%20evaluate%20both%20function%20at%20those%20limits.%3Cp%3E%3C%2Fp%3E%3Cp%3EAt%20x%20%3D%20-2%2C%20we%20have%20a%20value%20of%204%20for%20both%20of%20them%2C%20at%20x%20%3D%200%20we%20have%201%20for%20the%20exponential%20function%20and%200%20to%20the%20quadratic%20function.%20Let%27s%20call%20the%20exponential%20f%28x%29%2C%20and%20the%20quadratic%20g%28x%29.%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%5Btex%5D%5Cbegin%7Bgathered%7D%20f%28-2%29%3Dg%28-2%29%3D4%20%5C%5C%20f%280%29%3D1%20%5C%5C%20g%280%29%3D0%20%5Cend%7Bgathered%7D)
To compare the decay rates we need to check the variation on the y-axis of both functions.
Now, we calculate their ratio to find how they compare:
This tell us that the exponential function decays at three-fourths the rate of the quadratic function.
And this is the fourth option.
Answer:
20.9
Step-by-step explanation:
Answer:
2/8
Step-by-step explanation:
There are 2 green marbles.
In all, there are 8 marbles.
So, the probability is 2/8.
Answer:
Avicenna can expect to lose money from offering these policies. In the long run, they should expect to lose ___33__ dollars on each policy sold
Step-by-step explanation:
Given :
The amount the company Avicenna must pay to the shareholder if the person die before 70 years = $ 26,500
The value of each policy = $497
It is given that there is a 2% chance that people will die before 70 years and 98% chance that people will live till the age 70.
The expected policy to be sold= policy nominal + chances of death
= 497 + [98% (no pay) + 2% (pay)]
= 497 + [98%(0) + 2%(-26500)]
(The negative sign shows that money goes out of the company)
= 497 - 2% (26500)
= 497 - 530
=33
Therefore the company loses 33 dollar on each policy sold in the long run.
