Answer:
Length = 20feet
Width = 10feet
Step-by-step explanation:
Area of a rectangle = LW
Perimeter P= 2(L+W)
L is the length
W is the width
If the length of a rectangle is twice as long as the width, then;
L = 2W
Substitute into the foemula
A = (2W)W
A= 2W²
If the area is 200ft², then;
200 = 2W²
100 = W²
W = √100
W = 10ft
Since L = 2W
L = 2(10)
L = 20ft
Hence the length of the rectangle is 20feet and the Width is 10feet
The sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2 is: -637.5
The nth term of a geometric sequence is given mathematically as;
T(n) = ar^n
- where, a = first term of the geometric sequence.
- r = common ratio of the sequence
- and n = nth term of the sequence.
Therefore, the sum of the first 8 terms of the geometric sequence is;
- <em>S(8) = a + ar + ar² + ar³ + ar⁴ + ar⁵ + ar⁶ + ar⁷.</em>
In essence;
- since common ratio, r = 2
Therefore, we have;
- S(8) = -2.5(1 + 2 + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷)
S(8) = -637.5.
Therefore, the sum of the first eight terms of the <em>geometric sequence</em> whose first term is -2.5 and ratio is 2 is: -637.5
Read more:
brainly.com/question/22673892
The solution to the given equation is y = 3
<h3>Solving linear equations </h3>
From the given question, we are to complete the process of solving the equation
The given equation is
3(y + 1) = 12
Now, dividing both sides of the equation by 3, we get
y + 1 = 4
Then, substract 1 from both sides,
That is,
y + 1 - 1 = 4 - 1
y = 3
Hence, the solution to the given equation is y = 3
Learn more on Linear equation here: brainly.com/question/235431
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Answer:
<em>sorry i don't know the answer:(</em>
Interest on first loan = 800*.075*2 = 120
<span>so the interest on the second loan </span>
<span>= 138-120 = 18 </span>
<span>using the simple interest formula: </span>
<span>18 = P*.03*2 </span>
<span>P = $300</span>
