Answer:
So, the car costs the same after 20 months, $5500 at either dealership.
Step-by-step explanation:
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It's the slope
b: It is the cut point with the y axis.
By definition, if two straight lines are parallel then their slopes are equal. Thus, the slope of the line sought will be ![m = 2.](https://tex.z-dn.net/?f=m%20%3D%202.)
![y = 2x + b](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%20b)
We substitute the given point to find b:
![2 = 2 (-1) + b\\2 = -2 + b\\2 + 2 = b\\b = 4](https://tex.z-dn.net/?f=2%20%3D%202%20%28-1%29%20%2B%20b%5C%5C2%20%3D%20-2%20%2B%20b%5C%5C2%20%2B%202%20%3D%20b%5C%5Cb%20%3D%204)
Finally the line is:
![y = 2x + 4](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%204)
Answer:
![y = 2x + 4](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%204)
Hope this helps if it don’t sorry
Answer:
11.70% probability someone will spend no more than 30 minutes reading online national news reports.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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.
In this problem, we have that:
![\mu = 49, \sigma = 16](https://tex.z-dn.net/?f=%5Cmu%20%3D%2049%2C%20%5Csigma%20%3D%2016)
What is the probability someone will spend no more than 30 minutes reading online national news reports?
This is at most 30 minutes, so 30 or less minutes. This is the pvalue of Z when X = 30.
So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{30 - 49}{16}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B30%20-%2049%7D%7B16%7D)
![Z = -1.19](https://tex.z-dn.net/?f=Z%20%3D%20-1.19)
has a pvalue of 0.1170.
So there is a 11.70% probability someone will spend no more than 30 minutes reading online national news reports.
a) For principal amount P, interest rate r, and number of years t, the amortization formula for the monthly payment A is ...
... A = P(r/12)/(1 -(1 +r/12)^(-12t))
... A = 22500·(0.06/12)/(1 -(1 +0.06/12)^(-12·20)) ≈ 161.20
The monthly payment is $161.20.
b) After 240 payments, the amount repaid is
... $161.20·240 = $38,688
c) (22500/38688)·100% = 58.2% is paid toward principal
The remaining amount, 41.8% is paid toward interest.