Interpreting the inequality, it is found that the correct option is given by F.
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- The first equation is of the line.
- The equal sign is present in the inequality, which means that the line is not dashed, which removes option G.
In standard form, the equation of the line is:
Thus it is a decreasing line, which removes options J.
- We are interested in the region on the plane below the line, that is, less than the line, which removes option H.
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- As for the second equation, the normalized equation is:
- Thus, a circle centered at the origin and with radius 2.
- Now, we have to check if the line
, with coefficients 
, intersects the circle, of centre 
- First, we find the following distance:
- Considering the coefficients of the line and the center of the circle.
- This distance is less than the radius, thus, the line intersects the circle, which removes option K, and states that the correct option is given by F.
A similar problem is given at brainly.com/question/16505684
The answer is C.
(0, 3)
y = x + 3
3 = 0 + 3
3 = 3
(1, 4)
y = x + 3
4 = 1 + 3
4 = 4
(2, 5)
y = x + 3
5 = 2 + 3
5 = 5
The cost of the mortgage is $81250
<h3>What are interests?</h3>
Interests are percentages of a principal
Given the following parameters
Principal = $65000
Rate = 7% = 0.07
Time = 5 years
<h3>Calculate the interest</h3>
I = PRT/100
I = 65000*0.07*25
I = 16,250
<h3>Determine the cost of the mortgage</h3>
Cost of mortgage = Principal + Interest
Cost of mortgage = 65000 + 16250
Cost of mortgage = 81,250
Hence the cost of the mortgage is $81250
Learn more on mortgage here: brainly.com/question/22846480
X=13 and z=112
you know that (13x-57) + (6x-10) = 180 since they are supplementary, so you will solve that. it will give you x=13. now that you know x, you can solve for z by plugging in 13 for x on 13(x)-57 since that and angle z are congruent. when you simplify, you will get z=112.
you can check your answer by doing (6x-10) +112=180. this is because they are supplementary. you should get x=13, and that is how you know you are right.
Answer:
$7500
Step-by-step explanation:
$5000 was deposited
5% annual interest of the $5000 is $250
so in ten years the interest will be 10 ×$250 =$2500
so the total sum that will be in the account is $5000 + $2500 =$7500
