3/4x^2 + 2x - 5 is the correct answer
What is the name of that type of math
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
The base is 44 cut that in half to get the radius, R=22 height=6
fill in v=1/3 x 3.14 x r^2 x H
v = 1/3 x 3.14 x 22^2 x 6
22 x 22= 484
484 x 6 = 2904
2904 x 3.14= 9118.56
9118.56 x 1/3 = 9118.56/1 divided by 2735568/3 = 300