Selection D is the equivalent form of the given expression.
_____
The nominal annual interest rate in this problem is 40%. If it were compounded half-yearly, the formula would be x(1.2)^(2t) or x(1.44)^t. Apparently, this problem is more concerned with the equivalent form of the expression than it is with half-yearly compounding.
Answer:
3x - 20 = 13
Step-by-step explanation:
1. The word is signals the equal sign.
The difference of three times a number and 20 = 13
2. The word difference signals subtraction.
3. The phrase a number sigals that the number is unknown, so a variable should be used. In this case, I'll use x.
4. Three times that number = 3x.
The difference = subtraction.
3x-20=13
Because the cos theta < 0 then theta must be an obtuse angle
so a^2 + b^2 < a^2
C
Answer:
A sample size of 392 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
18% of students struggle in their classes because they don't spend more than 8 hours studying independently outside of a 4-unit class.
This means that 
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
You would like to be 99% confident that your estimate is within 5% of the true population proportion. How large of a sample size is required?
A sample size of n is required.
n is found when M = 0.05. So
Rounding up:
A sample size of 392 is required.
ookies. OK
How to calculate 12 divided by 4
Long Division
Here we will show you step-by-step with detailed explanation how to calculate 12 divided by 4 using long division.
Before you continue, note that in the problem 12 divided by 4, the numbers are defined as follows:
12 = dividend
4 = divisor
Step 1:
Start by setting it up with the divisor 4 on the left side and the dividend 12 on the right side like this:
4 ⟌ 1 2
Step 2:
The divisor (4) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
4 ⟌ 1 2
Step 3:
Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.
0
4 ⟌ 1 2
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
4 ⟌ 1 2
- 0
1
Step 5:
Move down the 2nd digit of the dividend (2) like this:
0
4 ⟌ 1 2
- 0
1 2
Step 6:
The divisor (4) goes into the bottom number (12), 3 time(s). Therefore, put 3 on top:
0 3
4 ⟌ 1 2
- 0
1 2
Step 7:
Multiply the divisor by the result in the previous step (4 x 3 = 12) and write that answer at the bottom:
0 3
4 ⟌ 1 2
- 0
1 2
1 2
Step 8:
Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.
0 3
4 ⟌ 1 2
- 0
1 2
- 1 2
