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
Answer:
Using Pythagorean theorem:
x = sqrt( 15^2 + 36^2) = 39
Answer:
3 quarters, 1 nickel, and 2 pennies.
Step-by-step explanation:
82-25= 57 (this is subtracting 1 quarter.)
57-25= 32 (this is subtracting 1 quarter.)
32-25= 7 (this is subtracting 1 quarter.)
7-5= 2 (this is subtracting 1 nickel.)
2-2= 0 (this is subtracting 2 pennies.)
Hope this Helps!! (:
Hey there!
To start, first convert 3/5 to a fraction with a denominator of 100 which you do so by multiplying the numerator and denominator by 20:
The numerator of your result would be your answer, 60%.
Hope this helps!
What were the other choices??