Answer:
The value of y is -5
Step-by-step explanation:
we have
------> equation A
------> equation B
we know that
If x and y satisfy both equations, then (x,y) is the solution of the system of equations
Using a graphing tool
Remember that
The solution of the systems of equations is the intersection point both graphs
The intersection point is (2,-5)
therefore
The solution of the system of equations is the point (2,-5)
The value of y is -5
Answer:
$6,020,826.711
Step-by-step explanation:
The computation of the present value of that year salary is shown below:
As we know that
Present value in case of continuous compounding, the formula is
where,
The Guaranteed amount is $9,000,000
The Time period is 6 years
And, the interest rate is 6.7%
Now placing these values
So, the present value is
= $6,020,826.711
Answer:
The 98% confidence interval would be given by (0.326;0.354)
Step-by-step explanation:
1) Notation and definitions
number of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states
random sample taken
estimated proportion of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states
true population proportion of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
2) Confidence interval
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 98% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 98% confidence interval would be given by (0.326;0.354)
Answer: The total amount is $4,725.
Step-by-step explanation:
1. Based on the information given in the problem, when an employee quit before 90 days, the company loses $1,575.
2. Then, the number of employees that quit before 90 days were:
employees
3. To calculate the total amount that the company will lose if these 3 employees quit before 90 days, you must multiply 3 employees by $1,575, as following:
4. The result is $4,725.