Answer:
0.08x = $5400-0.1x Add 0.1x to both sides of the equation.
0.18x = $5400 Divide both sides by 0.18
x = $3000 and $54000-$3000 = $24000
$3,000 is invested at 8%
$2,400 is invested at 10%
Step-by-step explanation:
<h2>
Answer:</h2>
<em><u>(a) Is it an output from the system? </u></em>
<em><u>(d) Is it a synonym of an existing thing?</u></em>
<h2>
Step-by-step explanation:</h2>
In the question,
We have a list of nouns and we need to determine whether a particular noun should be excluded by identifying particular noun as an important 'thing'.
So, to identify it as a noun we can ask two questions which will distinguish between the same.
<u>(a) Is it an output from the system? </u>
It is one of the questions that can be asked because if the thing is an output from a system it will be definitely existing in real therefore, we can identify from this.
<u>(d) Is it a synonym of an existing thing?</u>
By asking this we can also confirm whether a particular thing is a noun or not because if the thing will be a synonym for an already existing material, it definitely will be a Noun.
<em><u>Therefore, the correct option is (a) and (d).</u></em>
Answer:0.2
Step-by-step explanation:
A=3
P(A)=P(3)
=0.2
AB = CD = √8 ≈ 2.8 units
BC = AD = √2 ≈ 1.4 units
Area of the rectangle ABCD = 3.92 units²
Perimeter of the rectangle ABCD = 8.4 units
<h3>How to Find the Area and Perimeter of a Rectangle?</h3>
Given the coordinates of vertices of rectangle ABCD as:
- A(0,2)
- B(2,4)
- C(3,3)
- D(1,1)
To find the area and perimeter, use the distance formula to find the distance between A and B, and B and C.
Using the distance formula, we have the following:
AB = √[(2−0)² + (4−2)²]
AB = √[(2)² + (2)²]
AB = √8 ≈ 2.8 units
CD = √8 ≈ 2.8 units
BC = √[(2−3)² + (4−3)²]
BC = √[(−1)² + (1)²]
BC = √2 ≈ 1.4 units
AD = √2 ≈ 1.4 units
Area of the rectangle ABCD = (AB)(BC) = (2.8)(1.4) = 3.92 units²
Perimeter of the rectangle ABCD = 2(AB + BC) = 2(2.8 + 1.4) = 8.4 units
Learn more about the area and perimeter of rectangle on:
brainly.com/question/24571594
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