Step-by-step explanation:
Hey, there!!
Here,
3(2x-5)=25 is given.
To slolve: x
Now,
Multiply (2x-5) by 3.
6x-15 = 27.
Shift (-15) on right side.
6x= 27+15
or, 6x= 42
Divide 42 by 6.
Therefore, x= 7.
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
0.200
Step-by-step explanation:
∑ₓ₌₁⁴⁰ (1 + i)⁻ˣ = 5
∑ₓ₌₁⁴⁰ ((1 + i)⁻¹)ˣ = 5
This is a geometric series. The sum of the first n terms of a geometric series is:
S = a₁ (1 − rⁿ) / (1 − r)
where a₁ is the first term and r is the common ratio.
Here, a₁ = (1 + i)⁻¹, r = (1 + i)⁻¹, and n = 40. For simplicity, let's write both a₁ and r in terms of r. So a₁ = r and r = r.
5 = r (1 − r⁴⁰) / (1 − r)
5 (1 − r) = r (1 − r⁴⁰)
5 − 5r = r − r⁴¹
r⁴¹ − 6r + 5 = 0
Solving with a calculator, r ≈ 0.8334.
Therefore:
(1 + i)⁻¹ = 0.8334
1 + i = 1.200
i = 0.200
<span><span><span>(−∞,0)</span>∪<span>(0,∞)</span></span><span><span>(-∞,0)</span>∪<span>(0,∞)</span></span></span><span>{x|x≠0<span>}</span></span>
<span>The answer is 0.03571428571</span>
For this case we have that by definition, the area of a rectangle is given by:
Where:
a, b: They are the dimensions of the rectangle.
In the statement we are told that "The area is greater than 12 square inches", then:
Also we have:
Substituting we have:
Dividing between 2 on both sides:
Finally we have:
ANswer: