6. in many cases, lenders allow homeowners to include their homeowners insurance premium with their monthly mortgage payment. tim’s home is worth $279,500. if his homeowners insurance premium is $0.33 per $100, how much is added to his monthly mortgage payment for insurance? a.$7.69 b.$76.86 c.$92.35 d.$922.35-not the correct answer

B. $76.86

Step-by-step explanation:

Step 1: Insurance premium is $0.33 per $100.

Step 2: In 279500, there are 2795 hundreds of dollar.

Step 3: find the premium.

2795*0.33 = 922.35

This is premium per year.

Step 4: There are 12 months in a year.

Therefore, his month mortgage payment = 922/35 = $76.86

Thank you.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15