9514 1404 393
Answer:
$2,104.33 at the beginning of the month, or
$2,111.35 at the end of the month
Step-by-step explanation:
The amount you can withdraw at the end of the month is given by the annuity formula ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where principal P is earning annual rate r for t years
A = $400,000(0.04/12)/(1 -(1 +0.04/12)^(-12·25)) ≈ $2,111.35
If the withdrawal is at the beginning of the month, then the amount is less by a factor of (1+0.04/12) ≈ 1.003333. It will be $2,104.33.
Answer:
The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87
Step-by-step explanation:
We have the standard deviation for the sample. So we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 45 - 1 = 44
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.0141
The margin of error is:
M = T*s = 2.0141*170.5 = 343.4
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 390.47 - 343.40 = 47.07 units per month
The upper end of the interval is the sample mean added to M. So it is 390.47 + 343.40 = 733.87 units per month
The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87
Answer:
Blue cars, B = 63 cars
Step-by-step explanation:
Let the blue cars be B.
Let the red cars be R.
Given the following data;
Ratio of B:R = 9:7 = 9 + 7 = 16
Red cars, R = 49
To find the number of blue cars;
First of all, we would determine the total number of cars using the expression;
R = 7/16 * x = 49
7x = 49 * 16
7x = 784
x = 112 cars
Now, we can find the number of blue cars;
B = 9/16 * 112
B = 1008/16
Blue cars, B = 63 cars
Answer:
The answer is... the first option... why equals negative x + 5 and y = x - 3