Answer:
Symmetric point: x = -1; (-1, 5)
Minimum of f: None; approaches -∞.
Maximum of f: y = 5.
Is f(x) a one-to-one: No, it fails the horizontal line test and is not injective.
Increasing from: -∞ to -1; (-∞, -1)
Decreasing from: -1 to ∞. (-1, ∞)
Answer:
Step-by-step explanation:
Solving (a): The population mean
This is calculated as:
So, we have:
Solving (b): The population standard deviation
This is calculated as:
So, we have:
Answer:
It's hard to read, but I think it is B
Step-by-step explanation:
Apples Bananas Lemons Oranges Pears
6 2 10 8 4
Apples 6/30 = 1/5
Bananas 2/30=1/15
Lemons 10/30 = 1/3
Oranges 8/30 = 4/15
Pears 4/30 = 2/15
Answer: C. $5,470
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $5000
r = 1.8% = 1.8/100 = 0.018
n = 4 because it was compounded 3 times in a year(12/4 = 3 times)
t = 5 years
Therefore,
A = 5000(1 + 0.018/4)^4 × 5
A = 5000(1 + 0.0045)^20
A = 5000(1.0045)^20
A = $5470 to the nearest whole number
