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2 years ago

3. Amy Schorling is age 24 and is unmarried. She uses her vehicle

1 answer:

azamat2 years ago

5 0

Based on Amy Schorling's driver rating factor, vehicle classification and bodily injury coverage, her annual premium is $576.46.

If she includes the $50-deductibel collision coverage, her insurance premium becomes $1,067.08.

<h3>How much is Amy Schorling's annual premium?</h3>

At $25,000 property damage, her 25/50 bodily injury coverage premium is $206.40.

This should be added to her $50 comprehensive deductible D-14 vehicle classification of $105.20.

Annual base premium:

= 206.40 + 105.20

= $311.60

Annual premium:

= Annual base premium x Driver rating factor

= 311.60 x 1.85

= $576.46

<h3>How much is the annual premium including collision coverage?</h3>

The annual base premium becomes:

= 311.60 + 265.20

= $576.80

Annual premium becomes:

= 576.80 x 1.85

= $1,067.08

Find out more on insurance coverage at brainly.com/question/25740123.

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32 is 40% of what number? please show working.

blagie [28]

32 40%
80 100

to find the answer, you do 32 times 100, the. divide that by 40 which equals 80

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3 years ago

9. Two points in the plane, A(−3,8) and ????(17,8), represent the endpoints of the diameter of a circle.

kherson [118]

Answer:

a) (7,8)

b) r = 10

c) $(x-7)^2+(y-8)^2=100$

Step-by-step explanation:

a) Given the endpoints the diameter of the circle as A(-3,8) and B(17,8)

we should realize that the center of the circle lies exactly at the midpoint of these two points. let's denote the midpoint as $(x_m,y_m)$

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{-3+17}{2},\dfrac{8+8}{2}\right)$

$(x_m, y_m) = (7,8)$

this is the coordinate of the center of the circle.

b) The radius of the circle can be easily found by using the distance formula between the center point and either of the two endpoints of the diameter.

the general distance formula is:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

in our case the equation changes to: (selecting the centre and point B)

$r = \sqrt{(x_m-x_2)^2+(y_m-y_2)^2}$

$r = \sqrt{(7-17)^2+(8-8)^2}$

$r = 10$

side note: there are more alternate ways to find the radius for e.g (you can use the distance formula between the points A and B and that'll give you the length of the diameter which you can divide by 2 to get the radius) OR (you don't need to use the distance formula at all <u>since in this particular case</u> all the coordinates lie on the same horizontal line, so by simply subtracting the two x-coordinates of the center and either of A or B)

c) the ingredients needed to make the equation of the circle are the

coordinates of the center: $(x_m,y_m) = (7,8)$
radius of the circle: $r = 10$

we can put this in the formula of the circle:

$(x-a)^2+(y-b)^2=r^2$

in our case the equation changes to:

$(x-x_m)^2+(y-y_m)^2=r^2$

$(x-7)^2+(y-8)^2=(10)^2$

$(x-7)^2+(y-8)^2=100$

this is the equation of the circle!

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3 years ago

An appliance store decreases the price of a 19-In television set 27% to a sale price of $471.58. What was the original price?

umka21 [38]

This means that $471.58 is equal to 100-27= 73% of the original price. We are trying to find 100%

$471.58/73= x/100

Cross multiplication method:
471.58*100= 47158
47158/73= $646=x

Final answer: $646.00

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