Bob and Roberta are married and have two children. They are covered by a comprehensive medical and major medical policy with a $200 deductible per person, an 80/20 coinsurance provision, and an annual stop loss of $3,000. Bob dislocated his shoulder in November and needed surgery to fix the injury, which cost $35,000. Bob, Roberta, and each of the children had an annual physical exam earlier in January, which cost $250 each. Aside from these expenses, there were no other health care costs incurred by the family this year. How much will Bob have to pay out of pocket to cover the costs of his surgery?

Bob will have to pay $2,160 to cover the cost of his surgery

Step-by-step explanation:

Coinsurance on the surgery = 20% * $35,000

Coinsurance on the Surgery = 20/100 * $35,000

Coinsurance on the Surgery = 0.2 * $35,000

Coinsurance on the Surgery = $7,000

Annual Stop Loss = $3,000

Annual Physical Exam costs = $250 * 4

Annual physical Exam = $1000

Coinsurance on physical exam = 80% * $1,000

Coinsurance= 80/100 * $1,000

Coinsurance = 0.8 * $1,000

Coinsurance = $800

Deductible paid for Physical Exam = 20% *$200

Deductible = 20/100 * $200

Deductible = 0.2 * $200

Deductible = $40

Total payables = Annual Loss - Coinsurance on Physical Exam - Deductible for Physical Exam

Total Payables = $3,000 - $800 - $40

Total Payables = $2,160

The insurance company will pay the rest of the medical expenses.

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

10

step-by-step explanation: