Answer:
65.21739130434783
Step-by-step explanation:
Answer:
1. The expected pay-out on each policy is 250 * 1/90 + 12000 * 1/100 + 17000 * 1/400 = $165. So that's what the premium would have to be in order to get a profit of 0.
2. The profit per policy is the premium the company receives minus the expected payout = 350 - 165 = $185.
3. The expected profit on 375 policies would be 375 * 185 = $69375
Step-by-step explanation:
Answer:
![y +5 = -\frac{2}{3}(x - 4)](https://tex.z-dn.net/?f=y%20%2B5%20%3D%20-%5Cfrac%7B2%7D%7B3%7D%28x%20-%204%29)
Step-by-step explanation:
Given
![y = -\frac{2}{3}x + 8](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx%20%2B%208)
Point (4,-5)
Required
Determine the line equation
From the question, we understand that the line is parallel to ![y = -\frac{2}{3}x + 8](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx%20%2B%208)
This implies that they have the same slope, m
A linear equation is:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where
![m = slope](https://tex.z-dn.net/?f=m%20%3D%20slope)
By comparison:
and ![y = -\frac{2}{3}x + 8](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx%20%2B%208)
![m = -\frac{2}{3}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B2%7D%7B3%7D)
Next, we determine the line equation using:
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
Where
and ![m = -\frac{2}{3}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B2%7D%7B3%7D)
![y - (-5) = -\frac{2}{3}(x - 4)](https://tex.z-dn.net/?f=y%20-%20%28-5%29%20%3D%20-%5Cfrac%7B2%7D%7B3%7D%28x%20-%204%29)
![y +5 = -\frac{2}{3}(x - 4)](https://tex.z-dn.net/?f=y%20%2B5%20%3D%20-%5Cfrac%7B2%7D%7B3%7D%28x%20-%204%29)
Hence,
<em>Option C is correct</em>
<em />
Answer:
Yes that's correct!! Nice work!! (: You're doing great.
Step-by-step explanation: