Answer: mean monthly income = $5000
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Explanation
In any normal distribution, the median and mean are the same value.
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The proof is as follows:
If mean > median was the case, then the distribution would be skewed to the right (ie positively skewed). The right tail is pulled longer than the left tail. But this would contradict the symmetrical nature of the normal distribution. So mean > median must not be the case.
If mean < median, then the distribution would be skewed to the left (negatively skewed). Visually this pulls the left tail longer than the right tail. Like in the previous paragraph, this contradicts the symmetrical nature of the normal distribution. So mean < median must not be the case.
Since mean > median cannot be true, and neither can mean < median, this must indicate mean = median.
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So in short, any symmetrical distribution always has mean = median and they are at the very center of the distribution.
<span>"a 3/1 ARM" means starting at a fixed interest rate for the first 3 years and the interest rate will adjust every year after the first three years up to the part where it mentions a "3/9 cap". This on the other hand tells us that the increase will be 3% each time there is an interest rate increase and the max increase is 9%. Hence the answer is 9%</span>
Answer:
with the new rate we will pay in 58 months.
if there is 2% commision charge: 59.35 = 60 months
Explanation:
Currently we owe 10,000
This will be transfer to a new credit card with a rate of 6.2%
We are going to do monthly payment of 200 dollars each month
and we need to know the time it will take to pay the loan:
We use the formula for ordinary annuity and solve for time:
C $200.00
time n
rate 0.005166667 (6.2% rate divide into 12 months)
PV $10,000.0000
We arrenge the formula and solve as muhc as we can:
Now, we use logarithmics properties to solve for time:
-57.99227477 = 58 months
part B
If there is a charge of 2% then Principal = 10,000 x 102% = 10,200
we use that in the formula and solve:
-59.34880001 = 59.35 months
Answer:
The return on assets is 8.4%
Explanation:
In order to calculate the return on assets we will first need to find the average total assets. We will do this by adding the beginning and ending total assets and dividing it by 2.
Average total assets= (31,500+20,500)/2= 26.000
Now in order to find the return on assets we will divide the net income by the average total assets.
Return on assets = 2,200/26,000=0.084=8.4%
