Answer:
$595.18 is the amount of his second payment went toward interest.
Step-by-step explanation:
Given : Clifton took out a 30-year loan for $130,000 at 5.5% interest, compounded monthly. if his monthly payment on the loan is $738.13, and if $595.83 of his first payment went toward interest.
To find : How much of his second payment went toward interest?
Solution :
Loan amount = $130,000
Rate of interest = 5.5%=0.055
Time = 30 year
Monthly payment = $738.13
First payment towards interest = $595.83
After the first payment, Clifton's loan balance is
One month's interest on this balance is
Therefore, $595.18 is the amount of his second payment went toward interest.
Curl is defined as:
Which can be rewritten as:
This is because C1 lies on the xy plane and thus it's unit vector will be .
By similar arguments the rest will follow too.
Now, area of each circle will be:
Therefore, Curl, as per our definition will be:
Thus, Curl=
Which is the required answer.
Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
For this case we select a sample of n =100
From the central limit theorem we know that the distribution for the sample mean is given by:
So then the sample mean would be:
And the standard deviation would be:
The right answer is Option B:
Step-by-step explanation:
Given,
Current value of car = $5500
This is 55% of the original value.
Let,
p be the original price of car.
Therefore,
55% of p = 5500
Dividing both sides by p
The equation can be used to find the price Mrs. Merson paid for the car.
The right answer is Option B:
Keywords: percentage, division
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