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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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If m∠ATB = 20°, m∠BTD = 72°, and m∠CTD = 38°, what is m∠ATC?
Ber [7]

Answer: m∠ATC = 54°

Step-by-step explanation:

Ok, we know that:

m∠ATB = 20° and  m∠BTD = 72°

then we must have that the angle between A and D, is equal to the sum of the angles between A and B, and B and D, or:

m∠ATD = m∠ATB + m∠BTD = 20° + 72° = 92°

Now, we also know that m∠CTD = 38°

And the angle:

m∠ATC  will be equal to the angle between A and D, minus the angle between C and D, or:

m∠ATC = m∠ATD - m∠CTD = 92° - 38° = 54°

7 0
3 years ago
Delaney has $28.00 and buys a shirt for 14.00. Delaney used the equation 14x = 28 to model her scenario, where x represents the
maksim [4K]
She is incorrect because 14 multiplied by 2 equals 28, which means she wouldn’t have any money left over.
5 0
2 years ago
What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?
mixas84 [53]

We have that  the fourth term of an arithmetic sequence is

a_4=14

Option C

From the question we are told

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

A) 78

B) 32

C) 14

(Explain your work)

Generally the equation for the  arithmetic sequence  is mathematically given as

a_4=a_1+(n-1)d

Therefore

For seventh term

5=23+(6)d\\\\d=5-23/(6)\\\\d=-3

Therefore

For Fourth term

a_4=23+(3*(-3))

a_4=14

For more information on this visit

brainly.com/question/23366835

4 0
3 years ago
What do the differences between the points (as shown on the graph) represent?
artcher [175]
The first one 7/2 represents the change in y over change in x.

For those kinds of questions I would refer to the change in y over change in x method.

Bullet 3 would work because 7/2 doesn’t result to 1. So that’s not the answer.

I hope that helps
4 0
3 years ago
What is the perimeter of this book?
Lana71 [14]
C. 32in. >> 10+10+6+6=32.
7 0
3 years ago
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