Answer:
Therefore
Step-by-step explanation:
Complex Number :
A complex number is a number that can be expressed in the form
where a and b are real numbers, and
' i ' is called an imaginary number.
The value of i is given as
Squaring both the side we get
Therefore on substituting we get
For i^110
Similarly for i^92
Similarly for i^245
Similarly for i^347
Therefore
The test statistic and p-value of the given data are 6.274 and 0.0001 respectively.
<h3>Test Statistic</h3>The test statistic can be calculated using the formula below
Solving for the mean and standard deviation, we can substitute the values into the above equation which will be
Using the data from the test statistic, we can calculate the p-value of the data
From the calculation above, the test statistic and p-value of the given data are
Learn more on test statistic and p-value here;
Answer:
$5225
Step-by-step explanation:
Use the formula for the amount after simple interest:
"A" is the final amount, or balance.
"P" is the principal, or the starting amount.
"r" is the rate of interest in decimal form.
"t" is the time.
What we know:
P = 5000
t = 3
r = 1.5%
Convert the rate to decimal form by dividing by 100, or moving the decimal place two places to the left.
1.5% => 0.015 = r
Substitute what we know into the formula:
A = P(1 + rt)
A = 5000(1 + (0.015)(3)) <=simplify
A = 5000(1 + 0.045)
A = 5000(1.045)
A = 5225 <= new balance
The new balance of an account is $5225.