Answer:
Growth
Step-by-step explanation:
The number that is multiplying (1.01) is more than 0 so growth
Just ask him how many chickens
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:
Step-by-step explanation:
A function is continuous at a point if and only if:
So, we have the piecewise function:
And we want to find the value of k such that the function is continuous.
First, find the left hand limit of f(x):
Since we're coming from the left, we'll use the first equation. Thus:
Direct substitution:
Simplify:
Subtract and divide:
So, what this tells us is that for the function to be continuous, the right hand limit as f(x) approaches 9 from the right <em>must</em> also be equal to 0.
Therefore:
Direct substitution:
Subtract 1 from both sides:
Divide both sides by -9:
Therefore, the value of k is 1/9.
So, our equation in the end is:
Answer:
D. y= 2x2
Step-by-step explanation:
y = ax^2
If the absolute value of a is <1 the graph is wider than when a = 1
If the absolute value of a is >1 the graph is narrow than when a = 1
The only function that fits that description is
y = 2x^2
B <<< answer.
Given: We are given equation of parabola ans to choose narrowest graph.
Parabola form narrowest and widest.
Larger value of a most narrowest graph.
Smaller value of a most widest graph.
Now, we will see the coefficient of x²
Now, we arrange the value of a in descending order.
2 is largest value of these.
Hence, The narrowest graph is
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