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Artist 52 [7]
3 years ago
14

A house is valued at $198,000. It is to be insured for 80% of its cost. Insurance will cost $6 per $1,000. What is the annual in

surance premium?
Mathematics
1 answer:
MAXImum [283]3 years ago
4 0

Answer:  Annual insurance premium would be $950.40.

Step-by-step explanation:

Since we have given that

Value of house = $198,000

Percentage of its cost is insured = 80%

Value of house is insured is given by

\dfrac{80}{100}\times 198,000\\\\=0.8\times 198,000\\\\=\$158,400

Cost of insurance = $6 per $1000.

So, Annual insurance premium would be

\dfrac{6}{1000}\times 158,400\\\\=0.006\times 158,400\\\\=\$950.40

Hence, Annual insurance premium would be $950.40.

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What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?
Nesterboy [21]
We know that

[the length of a circumference]=2*pi*r
for r= 4 units
[the length of a circumference]=2*pi*4--------------> 25.12 units

if a  full circle (360°) has a length---------------------> 25.12 units
 arc for an angle of 72 °---------------------------> X
X=72*25.12/360------------> 5.024 units

the answer is 
<span>the length of the subtending arc for an angle of 72</span>° is 5.024 units
4 0
3 years ago
Given 14 – 2(x + 8) = 5x – (3x – 34), prove x = -9 what are the steps to be able to prove x=-9
Veronika [31]

Answer: x = -9

steps

Simplifying

14 + -2(x + 8) = 5x + -1(3x + -34)

Reorder the terms:

14 + -2(8 + x) = 5x + -1(3x + -34)

14 + (8 * -2 + x * -2) = 5x + -1(3x + -34)

14 + (-16 + -2x) = 5x + -1(3x + -34)

Combine like terms: 14 + -16 = -2

-2 + -2x = 5x + -1(3x + -34)

Reorder the terms:

-2 + -2x = 5x + -1(-34 + 3x)

-2 + -2x = 5x + (-34 * -1 + 3x * -1)

-2 + -2x = 5x + (34 + -3x)

Reorder the terms:

-2 + -2x = 34 + 5x + -3x

Combine like terms: 5x + -3x = 2x

-2 + -2x = 34 + 2x

Solving

-2 + -2x = 34 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-2 + -2x + -2x = 34 + 2x + -2x

Combine like terms: -2x + -2x = -4x

-2 + -4x = 34 + 2x + -2x

Combine like terms: 2x + -2x = 0

-2 + -4x = 34 + 0

-2 + -4x = 34

Add '2' to each side of the equation.

-2 + 2 + -4x = 34 + 2

Combine like terms: -2 + 2 = 0

0 + -4x = 34 + 2

-4x = 34 + 2

Combine like terms: 34 + 2 = 36

-4x = 36

Divide each side by '-4'.

x = -9

7 0
3 years ago
Which of the following pairs of items is a better​ buy?
Bas_tet [7]

Answer:

a. 6Pack of paint brushes for $12.99

b. 5 classes for $64.99

c. 12 pack of paper plates

Step-by-step explanation:

a.

I could buy a 6 pack of paint brushes for $ 12.99

or

buy 6 individual brushes for the price of $ 2.19 each.

6 x $2.19 = $13.14

first option is cheaper

b.

10 classes for s total of $150

$150 ÷ 10 = $15 (price per class)

5 classes for $64.99

$64.99 ÷ 5 = $12.998 (price per class)

c.

12 pack of paper plates for $2.29

25 pack for $4.99

$2.29 ÷ 12 = $0.1908 (price of one plate)

$4.99 ÷ 25 = $0.1996 (price for one plate)

5 0
3 years ago
Soni has 196 pencils. if she puts equal amounts of pencils into eight boxes,she has four pencils left.How many pencils does she
Alexandra [31]
24 pencils in each box...

you would take 196 and minus it by 4 which is 192, then divide 192 by 8, which will give you 24 then 4 left over pencils
5 0
3 years ago
Determine if each scenario would produce more than one triangle, no triangle, or a unique triangle. Explain your reasoning for e
weqwewe [10]

Answer:

1. Right angle triangle, 2. One triangle, 3. No triangle

Step-by-step explanation:

1. Has a 90-degree angle which makes it a right-angle triangle.

2. 30 + 60 + 90 = 180 degrees. Hence it satisfies the angle sum property so it is a triangle, a right-angle triangle.

3. It does not form a triangle as it does not satisfy the triangle inequality property, which is the sum of the two smaller sides should be greater than the larger side. 2 + 4 = 6, which is smaller than 7.

7 0
2 years ago
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