Step-by-step explanation:
Hi,
I agree with what you did. You could also add y on both sides and get 3x = y + 5 and then divided by three to get...
x = 5 + y /3
(the 5 and y are being divided by 3)
But that's just complicated, it works, but it's complicated. What you did is correct and what I gave you is the value of x, but I'm 100 percent sure yours is correct.
Hope this helps
Answer:
I would stay direct vartation
Step-by-step explanation:
For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.
1. Go on a vacation that costs $3,500
Paying off money for buying a car will not decrease your net worth as you get the car as assets for the money you use. But the depreciates 20% will cause you to lose $3,000 assets. Assuming you are not buying assets at all, go on a vacation that costs $3,500 will increase liability without any effect on assets. Paying up bills will decrease your asset but it also decreases your liability so the net worth wouldn't change.
2. 1) higher 2) lower
Subprime lending is lending money to people with a low credit score that was not really fit for the credit. This means the risk of getting the money back would be higher than prime lending. Since the risk of losing the money is higher, the interest should be higher than prime lending.
3. $200,000
The house price is $250k and the buyer put 20% down which is; 20%*$250k= $50k
Then the rest of the money that needs to be paid by the mortgage would be: $250k-$50k=$200k
4. Lower, Increase
In variable rate loans, the interest will be adjusted by the market. That means the rates will be unpredictable since it was based on the condition of the market. It will be safer for the creditor since he/she will absolutely get the revenue no matter how the market goes. This change is a bit dangerous for the borrower because the number of rates can increase dramatically.
5. Higher, lower
When you pay 30 years mortgage, the total loan is divided by 30 years which was 2 times more than 15 years. Excluding the rates, you can estimate that the 15 years mortgage payment will be twice than 30years mortgage. The total cost would also be lower since the interest rate is applied for 15 years, about half than 30 years.
6. Negative $3,500
Net worth is assets minus liability.
The list of the assets would be:
$500 in short-term savings
$5,000 in her retirement savings account
Total assets= $500+$5,000= $5,500
The list of liability would be:
$1,500 in credit card debt
student loan debt of $7,500
Total liability= $1,500+ $7,500= $9,000Net worth= $5,500- $9,000= - $3,500
<h3>
Answer:</h3>
infinite solutions
<h3>
Step-by-step explanation:</h3>
Add the two equations.
... (-4x) + (y) = (y +3) +(-4x -3)
Add 4x -y to both sides.
... -4x +y +4x -y = -4x +y +4x -y
... 0 = 0 . . . . . true for all values of x (or y)
Both equations describe the same line.
_____
The graph shows the first equation as a red line. The second equation is shown using a "blue dot" texture, so you can see it overlays the red line.
Answer:
The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly 0.907 = 90.7%.
Step-by-step explanation:
To solve this question, we have to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , a large sample size can be approximated to a normal distribution with mean and standard deviation 
In this problem, we have that:
The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly
This probability is the pvalue of Z when X = 1600 + 300 = 1900 subtracted by the pvalue of Z when X = 1600 - 300 = 1300. So
X = 1900
By the Central Limit Theorem
has a pvalue of 0.9535.
X = 1300
has a pvalue of 0.0465.
0.9535 - 0.0465 = 0.907.
The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly 0.907 = 90.7%.
