Answer:
The formula to calculate APY is (1 + (i/n))^n - 1
where i is the interest rate and n is the number of compounding periods.
Monthly APY = (1 +(0.055/12)^12 -1
APY = 0.0564 = 5.64%
Quarterly APY = (1 +(0.055/4)^4 -1
APY = 0.0561 = 5.61%
Difference = 5.64 - 5.61 = 0.03% more when compounded monthly.
The APY is more when compounded monthly, because there are more compound periods.
Answer:
<h2>f(x + 1) = 2x + 8</h2>
Step-by-step explanation:
Variance is the average of the square of the differences of each data with the mean. To calculate for the variance, we first calculate for the mean. Then, we subtract each data with the mean. Next, each difference would be squared and added. The resulting value would be divided on how many data are used. We calculate as follows:
Mean = <span>9 + 7 + 6.5 </span>+ 7.5 + 7 + 8 + 5 + 6 + 7.5 + 8 / 10
Mean = 6.4
Squared of the sum of the differences = (9-6.4)^2 + (7-6.4)^2 + (6.5-6.4)^2 + (7.5-6.4)^2 + (7-6.4)^2 + (8-6.4)^2 + (5-6.4)^2 + (6-6.4)^2 + (7.5-6.4)^2 + (8-6.4)^2 = 17.15
Variance = 17.15 / 10 = 1.715
Answer:
OPTION C
Step-by-step explanation:
Given: 
This can be rewritten as: 
Also, since 
We know that 
Hence, Option C would the answer.
The first thing that we want to do is simplify both side of this equation.
2(m-8).
The first thing we have to do, is multiple 2 by m and -8, also called distributing. So, when we do that, we get
2(m-8)=2*m + 2*-8 = 2m-16
4(m+6)
Now, we do the same thing we did for the first parenthesis, and that's multiple 4 by m and 6.
4(m+6)=4*m + 4*6 = 4m+24
Now, we need to get m by itself on one side. So, lets bring the equation from the right to the left
2m-16 = 4m + 24 (bring 4m to the other side by subtracting)
2m-16-4m = 24 (bring -16 to the right by adding)
-2m=24+16
-2m=40 (divide both sides by -2 to get your value for m)
m=40/-2 = -20
So, our answer is m = -20
