Answer:
Therefore, the approximate monthly payment is $548.85
Step-by-step explanation:
The amount of student loans Erica currently has = $34,006.00
The duration over which Erica is to pay back the loan = 7 years
The annual interest rate for the loan = 9.1%
Therefore, we have the geometric sequence formula is given as follows;
![A_n = P( 1 + r)^n - M \times \left [ \dfrac{(1 + r)^n-1}{r} \right ]](https://tex.z-dn.net/?f=A_n%20%3D%20P%28%201%20%2B%20r%29%5En%20-%20M%20%5Ctimes%20%5Cleft%20%5B%20%5Cdfrac%7B%281%20%2B%20r%29%5En-1%7D%7Br%7D%20%5Cright%20%5D)
Where;
M = The monthly payment
P = The initial loan balance = $34,006.00
r = The annual interest rate = 9.1%
n = The number of monthly payment = 7 × 12 = 84
Aₙ = The amount remaining= 0 at the end of the given time for payment
Substituting the values into the above formula, , we get;
![0 = 34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} - M \times \left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]](https://tex.z-dn.net/?f=0%20%3D%2034006%20%5Ctimes%20%5Cleft%20%28%201%20%2B%20%5Cdfrac%7B0.091%7D%7B12%7D%20%5Cright%20%29%5E%7B84%7D%20-%20M%20%5Ctimes%20%5Cleft%20%5B%20%5Cdfrac%7B%5Cleft%20%281%20%2B%20%5Cdfrac%7B0.091%7D%7B12%7D%20%5Cright%20%29%5E%7B84%7D-1%7D%7B%5Cdfrac%7B0.091%7D%7B12%7D%20%7D%20%5Cright%20%5D)
![M = \dfrac{34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} }{\left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]} \approx 548.85](https://tex.z-dn.net/?f=M%20%3D%20%5Cdfrac%7B34006%20%5Ctimes%20%5Cleft%20%28%201%20%2B%20%5Cdfrac%7B0.091%7D%7B12%7D%20%5Cright%20%29%5E%7B84%7D%20%20%7D%7B%5Cleft%20%5B%20%5Cdfrac%7B%5Cleft%20%281%20%2B%20%5Cdfrac%7B0.091%7D%7B12%7D%20%5Cright%20%29%5E%7B84%7D-1%7D%7B%5Cdfrac%7B0.091%7D%7B12%7D%20%7D%20%5Cright%20%5D%7D%20%5Capprox%20548.85)
Therefore, the approximate monthly payment = $548.85
Answer:
a)Slope: 
Intercept: 
b) ![r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B7625.9%7D%7B%5Csqrt%7B%5B1248.9%5D%5B94228.8%5D%7D%7D%3D0.657)
And the determination coeffecient is 
Step-by-step explanation:
Data given and definitions
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.
n=110, 
Part a
The slope is given by this formula:
If we replace we got:
We can find the intercept with the following formula
We can find the average for x and y like this:
And replacing we got:
Part b
In order to calculate the correlation coefficient we can use this formula:
![r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B%5Csum%20%28x-%5Cbar%20x%29%28y-%5Cbar%20y%29%20%7D%7B%5Csqrt%7B%5B%5Csum%20%28x-%5Cbar%20x%29%5E2%5D%5B%5Csum%28y-%5Cbar%20y%29%5E2%5D%7D%7D)
For our case we have this:
n=110,
So we can find the correlation coefficient replacing like this:
And the determination coeffecient is
Here is my answer. I left the latter question in a. as I don't actually know the answer. Anyway, I hope this is helpful although not complete.
No, just because the phones produced Increases it doesn’t mean that the work rate will get up to 100%. There can always be more workers.
Answer:
a
Step-by-step explanation:
1. Choose a person.
2. Substitute the numbers into the correct values.
105 - 15 = ?/5 = 18
105 - 18 = ?/5 = 3.48
105 - 12 = ?/5 = 18.6
105 - 23 = ?/5 = 16.4
It is A because it is the only one in which the answer is equivalent to the cost.
Hope this helps:)
