Acasa Insurance Company offers two plans for home insurance. Plan A has a $750 yearly premium with a $3,000 deductible. Plan B has a $1,200 yearly premium with a $1,000 deductible. Last year, 20% of all policyholders made damage claims. The average claim amount was $6,500. The expected value per claim for every customer who chooses plan B is $___
The expected value per claim for every customer who chooses plan A is $___

the radius is 2 times the diameter.

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west