Suppose that
1 answer:
<h3>Answers:</h3>
- Absolute min = -6
- Absolute max = 6
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Explanation:
The range of x values is which means x = -1 is the smallest and x = 1 is the largest possible.
Similarly the smallest y value is y = -1 and the largest is y = 1.
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Plug in the smallest x and y value to get
f(x,y) = x+5y
f(-1,-1) = -1+5(-1)
f(-1,-1) = -6
Therefore, the absolute min is -6
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Now plug in the largest x and y values
f(x,y) = x+5y
f(1,1) = 1+5(1)
f(1,1) = 6
The absolute max is 6
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Answer:
- <u>The rate of return is 8.15%</u>
- <u>This is a good investment</u>
<u></u>
Explanation:
For the first question, you need to find the rate that makes the present value of a stream of ten constant annual payments of $15,000 equal to the $100,000 investment.
The formula that returns the present value of a constant payment is called the annuity formula and is:
In your problem you know:
- Present value: $100,000
- payment: $15,000
- r: ?
- t: 10
You cannot solve for r directly. You must guess a value and calculate the right side of the equation until to you find the rate that makes it equal to 100,000.
Try 5%:
Then, the rate of return is greater than 5%. After several trials you will find that the rate of return is 8.15%.
Since this rate is higher than 8%, which is what the company requires, this is a good investment.
Answer:
The standard error of the mean = 2
Step-by-step explanation:
Given that:
The standard deviation σ = 14
The sample size n = 49
The sample mean = 56
The formula for calculating the standard error can be expressed as:
S.E = 2
Therefore, the standard error of the mean = 2