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Gelneren [198K]
3 years ago
6

A house worth $180,000 has a coinsurance clause of 75 percent. The owners insure the property for $101,250. They then have a los

s that results in a $50,000 claim. They will receive $ ____.00 from insurance.
Mathematics
1 answer:
Bess [88]3 years ago
5 0

Answer:

$37,500

Step-by-step explanation:

We have been given that a house worth $180,000 has a coinsurance clause of 75 percent. The owners insure the property for $101,250. They then have a loss that results in a $50,000 claim.

We will use loss settlement formula to solve our given problem.

\text{Loss settlement}=\frac{\text{Loss}\times\text{Limit of insurance}}{\text{Actual cash value}\times \text{Coinsurance}\%}

Upon substituting our given values, we will get:

\text{Loss settlement}=\frac{\$50,000\times\$101,250}{\$180,000\times 75\%}

\text{Loss settlement}=\frac{\$50,000\times\$101,250}{\$180,000\times 0.75}

\text{Loss settlement}=\frac{\$5,062,500,000}{\$135,000}

\text{Loss settlement}=\$37,500

Therefore, they will receive $37,500 from insurance.

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Line p has an equation of y=-8x+6. Line q, which is perpendicular to line p, includes the point (2,–2). What is the equation of
Arturiano [62]

Answer:

y =  \frac{1}{8} x - 2  \frac{1}{4}

Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

y= mx +c, where m is the slope and c is the y-intercept

Line p: y= -8x +6

slope= -8

The product of the slopes of perpendicular lines is -1. Let the slope of line q be m.

m(-8)= -1

m= -1 ÷(-8)

m= ⅛

Substitute m= ⅛ into the equation:

y= ⅛x +c

To find the value of c, substitute a pair of coordinates that the line passes through into the equation.

When x= 2, y= -2,

-2= ⅛(2) +c

- 2 =  \frac{1}{4}  + c

c =  - 2 -  \frac{1}{4}

c =  - 2 \frac{1}{4}

Thus, the equation of line q is y =  \frac{1}{8} x - 2 \frac{1}{4}.

4 0
2 years ago
What is 4/7 x 3/4 and 1 2/3 x 1/5?
Elena-2011 [213]
Answer: 3/7 and 12/15

5 0
3 years ago
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Solve for x and y
bekas [8.4K]

Answer:

x = 2√2

y = 2√6

Step-by-step explanation:

Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)

These will be equal since the triangles are similar

shorter leg : longer leg

(blue triangle = red triangle)

⇒ x : 4 = 2 : x

⇒ x/4 = 2/x

⇒ x² = 8

⇒ x = √8

⇒ x = 2√2

Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.

Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)

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7 0
2 years ago
According to the values in the table, do x and y have a proportional relationship?
Masteriza [31]

Answer:

Yes.

Step-by-step explanation:

0.4 x 100 = 40

0.5 x 100 = 50

0.6 x 100 = 60

1 x 100 = 100

Hope this helped!

6 0
2 years ago
Solve the following system of equations. 1.) x - 2y = 6 2.) 2x - 4y = 10
k0ka [10]
One way to solve this system of equations would be by substitution. It would helpful to write these equation in the form y=mx + b in order to substitute one equation to the other. We do as follows:

<span>1.) x - 2y = 6
y = x/2 -3

2.) 2x - 4y = 10
y = x/2 - 5/2

As we look at the rearranged equations, we see that their slopes are equal which means they are parallel lines so they do not intersect at one point. There is no solution for this system of equations.</span>
4 0
3 years ago
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